diff --git "a/data/dm_maths/full_data_1/10175_11255.jsonl" "b/data/dm_maths/full_data_1/10175_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10175_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Collect the terms in w**2 + 0*w**2 - 4 - 6*w**2 - w**2.\nAnswer: -6*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*c - l + 49, 0 = 3*l - 9. Solve 2*j = 6*j - c for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -v**3\/3 - 25*v**2 - 15*v. Calculate i(-24).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 21 (b) -2\/11 (c) 1 (d) -87 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4)\/(33\/4).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 824*n**2 + 4*n**3 - 22*n**3 + 1993*n**2.\nAnswer: -18*n**3 + 2817*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 18. Is 219 + 3\/(s\/16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -2*p - 12. Suppose -t - 2*w = 2, -w + p*w + 2 = t. Solve t*l = l - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 12 - (-20 + (37 - 17) - 25) - 68?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2434*t = 58*t - 265475 + 1739 for t.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 198a?\nAnswer: 1989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -229133*l + 6186625. Give v(27).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 4*h + 5*l, 946*h + 3*l = 949*h - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1020567.\nAnswer: 3, 109, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*(k*k**(-1\/2))\/k)*k)**(-23)*k\/k**0*k*k\/(k*k\/k**(-2\/5)))\/((k**(-2\/9)*k**(3\/8))\/(k*k**(-1\/3)*k**(-2\/11)*k*k)) assuming k is positive.\nAnswer: k**(-125009\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 15.1, -2\/5, 0.1, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2348945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 0, -1.\nAnswer: -5, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4293*i + 4289*i + 80. Solve 4*b - 4 = 5*o + 40, o - i = -4*b for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10646694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1208*q**3 - 39858*q**2 - 456822*q - 2268 = 0. Calculate q.\nAnswer: -9, -3\/604, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/47800 and -1\/120.\nAnswer: 143400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (113620\/391)\/38 - (-6)\/17.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 16 = -3*j, -m = -2*j + 6*j - 12. Let f = j + -6. Let h be (-100)\/f*(-20602 + 2). Round h to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 34. Let d(j) = -j**3 - 5*j**2 + 2*j + 11. Let i be d(s). Let h be 14 - (4\/(-4) - i). Solve 4*u + h = -0*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (33541\/85)\/(2\/10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c + 0*c - 4*c - 3*c. What is the units digit of k(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*n**2 + 0*n**3 + 42*n**2 + 2 + 0*n**3 - 2*n**4 as v*n**2 + a*n + g + p*n**3 + b*n**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.028 - -0.028. Which is the nearest to 0.1? (a) -16 (b) -1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41473 is divided by 379.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 378 + 150 = -3*u. Which is the fourth biggest value? (a) -2 (b) -12 (c) 2 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g**3 + 3*g**3 - 7*g**3)*(30 + 178 + 149 + 16) as y + q*g + r*g**2 + n*g**3 and give n.\nAnswer: -746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millisecond in microseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 7008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1530 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 8 = -4*j, 3*h = h. Let i(m) = 7 - 2*m - j*m + 3*m. What is the units digit of i(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 0*w**3 - 12\/7*w**4 + 16\/7*w**2 + 0 - 4\/7*w**5 + 0*w = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.061 + 0.060675. Round d to five dps.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/105 - 3\/7.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -35*r**3 - 3*r**2 - 6*r + 2. Let k(l) = 192*l**3 + 13*l**2 + 31*l - 10. Let s(q) = 2*k(q) + 11*o(q). Let p = 1 - -1. Let j = -8 + p. What is s(j)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 78688, 78693, 78702, 78709, 78708, 78693, 78658, 78597?\n\"Answer: -q**3 + 8*q**2 - 12*q + 78693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2666755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128349?\nAnswer: 3, 13, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 383006081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: -184 divided by -23\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 1768 = i - 256, -2*i + 403 = t. Calculate the highest common divisor of 555 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 8*x**2 + 11*x - 12. Let r be o(-5). Solve -2*u = -2*p - 10, 15 = -u - r*p + 4*p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 125 or 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -380 + 378. What is the fourth biggest value in c, 2\/3, -3\/5, 1\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11*7\/(-21)*(-8)\/(-8)*-3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -6*v - 1. Let a be f(-1). Suppose 4479378 = -a*d + 46479378. Round d to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115 = 3*o + 100 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -176 (base 12) to base 7.\nAnswer: -453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 2249940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 3*x + 8. Suppose x*l - 118 = -2*c, -3*c - 5 = -4*c. Is 2*(-2)\/(-12)*l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/(1 - -3) + 1. Let s be (12\/o)\/(2\/7). Let h(u) = 3*u - 13. Let v be h(s). What is the greatest common factor of 16 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d*h*z + 32713129*d*i*z - 11638016*h*i + h*z + 2*i*z wrt h?\nAnswer: 2*d*z - 11638016*i + z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**2 - 28*s - 245 = 0.\nAnswer: -7, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -1 - 0)\/(-24 - -23). Let b(d) be the first derivative of 0*d**3 + 2 + z*d - d**2 - 1\/4*d**4. What is the second derivative of b(y) wrt y?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**3 - d**2 - d + 1. Let c be b(3). Calculate the common denominator of -49\/12 and c\/(-120) + 6\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 6:09 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 11) + (5 - (55 - 39))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, e: 1, q: 1, z: 2}. Give prob of picking 1 z and 1 i.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 3 = -2*g - 4*x, 5*x = 4*g - 24. Let h(w) be the third derivative of 0*w - 1\/720*w**g + 0 + 0*w**4 + 0*w**5 + 0*w**3 + w**2. Factor h(j).\nAnswer: -j**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 10) + 10\/(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35 and 2842?\nAnswer: 14210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rb when two letters picked without replacement from rbrrrrrrbrrbrr?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 a when three letters picked without replacement from ngagngavegvagegaeavg?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0019343098 rounded to five dps?\nAnswer: 0.00193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*k + 83 - 359 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378267 a multiple of 1177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22225\/8 - 2767. Calculate the common denominator of 6636\/(-1440) + 24\/(-90) + 10 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3, -4, -6\/7, 67.\nAnswer: -4, -6\/7, -0.1, 3, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*k**2 - 287*k**3 + 484*k**2 - 342*k**2.\nAnswer: -287*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11.6 (b) -31 (c) 5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 292*m - 2052. Let l(n) = 153*n - 1026. Let x(g) = -3*f(g) + 5*l(g). Factor x(t).\nAnswer: 3*(t - 19)*(t - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, p: 3, d: 13}. What is prob of picking 2 d, 1 g, and 1 p?\nAnswer: 13\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*r - 33*r - 541 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -280.2 - -321. Let y = 50.8 - i. Put -4, 0.1, y in ascending order.\nAnswer: -4, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o + 240 = 31*o for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2429824554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1234 * -1789\nAnswer: -2207626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l + 5 = -5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 7 = -g, 0 = -5*g - 3 - 22. Suppose 15 = 3*k, -3*m + d*k - 30 = 8. Is 5*((-396)\/15)\/m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 35574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 219 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27376 = 31*f - 2*f. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (186\/26)\/(-1) - -7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1094 + 2189\/2. Suppose -u*i**4 + 1\/6*i**5 - 1\/2 + i**2 - 1\/3*i**3 + 1\/6*i = 0. Calculate i.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - 66?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w + 2. Let f(o) = 95 + 87 - 9*o - 239 + 78. Determine -21*c(l) + 2*f(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 4*r + 12, -2*r - 24 = 2*x + 2*r. Let s = 16 + x. Suppose -8*p - 4*z + 395 = -3*p, -3*p = -s*z - 237. Is 23 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13*22.\nAnswer: 2.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**3 + 2*q**2 - 4*q - 7. Let u be l(4). Let c = u - -112. List the prime factors of c.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1138 - 1139. What is the nearest to -1 in 1\/3, -1\/9, -6, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 11*j + 15. Let k be x(-12). What is the least common multiple of k\/5 - 68\/(-20) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23535 (base 7) in base 5?\nAnswer: 143402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*u - 2*l + 28, 20 = -5*l. Let q(i) = -i**3 + 17*i**2 - i + 12. Let f be q(u). Let r = -203 + f. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 136, -56, -4, 0.1?\nAnswer: 136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 15*x**2 + 42*x - 18. Let f be n(17). Let i = f - -1899. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 7*t**2 + 2*t - 12. Let n(f) = -f**2 - f + 1. Let l(m) = i(m) + 6*n(m). Calculate the remainder when 41 is divided by l(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 6*g**2 + 2*g + 135. Give p(0).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddddtdddddtdddt. What is prob of sequence tdd?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -285 divided by -57?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1)*-3 + 49\/(-21).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*d**2 - 209158*d + 209158*d.\nAnswer: -41*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/12)\/(-1) + (-1736813)\/(-52). Round c to the nearest 1000.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 h when two letters picked without replacement from hllhhllhlhhhllhllhl.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 6*k**2 + 18*k - 24. Let x be a(8). Suppose 175 = 3*p - 3*c - 599, p + 4*c - x = 0. Let j = p - 113. Is j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/162833 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -19*x - 584. Let f be q(-31). Solve -2*a = -3*s, -87*a = -86*a + f*s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -0*w + 12, 0 = 4*f - 5*w - 128. Let c = f + -23. Differentiate -k**4 - 7*k**4 + 0 - 1 + 7*k**c wrt k.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/3 + 0\/2. Let x = 4 - t. Suppose -x*c + 107 = 3*z, 2*z + 25 = 3*z + 4*c. Does 18 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2271373 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 3*v - 9. Let f be y(-8). Let r = f + 6. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {i: 2, p: 4, r: 1, s: 3, o: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 93, 200, 309, 420, 533?\n\"Answer: s**2 + 104*s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w + 4. Let k be f(4). Suppose -b + k = b. Let q be 20\/(-130) + b\/26. Does 2\/31 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10139179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/390*65*(12\/3)\/(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2*17\/408*-2)\/((20\/102)\/(-5))\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**4 - 36*f**3 - 332*f**2 + 756*f - 392.\nAnswer: 4*(f - 14)*(f - 1)**2*(f + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22649136 by 8.\nAnswer: -2831142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 9*t**2 + t - 5. Let c be b(9). Suppose 428 = -c*h + 2232. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 507*x**2 + 32*x - 20. Let w be a(14). What is w rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -320.3 * 2064\nAnswer: -661099.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (138\/(-12) - 4)\/(1*7 - (-75)\/(-10))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -208529\/210 - -4967\/5. Calculate the common denominator of -68\/455 and w.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.8, 2\/9, -2\/8101?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 642519 and 999474.\nAnswer: 8995266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007302 to six dps.\nAnswer: 0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 754376359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 15 - (14 + -23)) + (-1 - 2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 512 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 138384888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 58044, -2\/5, 4\/7, -1\/5, -3, -5\/8?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2250, -8825, -19784, -35127, -54854, -78965?\nAnswer: -107460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -7583?\nAnswer: -7588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1445\/294 + 86\/147. Is p less than -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 10, 4 in descending order.\nAnswer: 10, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 1\/5, 24, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v + 1. Suppose -5*a = c - 5*c - 17, 17 = 2*a - 5*c. Suppose o - 8 = a. Suppose -3*l = -o + 3. What is f(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of (-32)\/(-6)*111036\/152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/14)\/(7\/(-49)). Suppose 4*o = 12, u*o = -n - 2311621 - 2468370. Round n to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-3)\/30 - (-44)\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fb when two letters picked without replacement from {o: 2, b: 1, f: 1, d: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*p - 5*p - p**3 - 2 - 4*p to c*p**2 + z*p**3 + m + o*p and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 7*x**2. Let a(y) = 21*y. Let q(g) = -85*g. Let c(k) = 9*a(k) + 2*q(k). What is u(c(o))?\nAnswer: 2527*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 166.76 - 6.26. Let u = j + -159. Which is the third smallest value? (a) u (b) 0.5 (c) -1\/2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2046? (a) 1\/3 (b) 0.5 (c) -2\/3 (d) 0.2 (e) 46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -215662\nAnswer: 2\/107831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t + 6. Let f be i(-9). Let p = -11 + f. Suppose 0*v + 16 = p*v. Calculate the greatest common divisor of 32 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 2201169.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89671258?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 3)*(-2*s**2 + s**2 + 0*s**2) + (-3*s + 2*s - s)*(7*s + s + 6*s) in the form b*s**2 + v + c*s and give b.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16744 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/96 - (-3695)\/4. Let s = l - 594. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o + 0*o - 10*o to c*o + g and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 30054608, 4, -2 in increasing order.\nAnswer: -2, 4, 30054608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 433 and 15079.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 373*i**3 + 384*i**3 + 373*i**3 - 1129*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*d**2*v**2 + d*v**3 - 40*d*v + 4*v**3 + 55 wrt d?\nAnswer: 10*d*v**2 + v**3 - 40*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = b + 5, 0 = -j - b - 5 - 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -717 + 722. Let n = -1 + -3. What is the closest to -1.2 in -5, p, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*u**2 - 4421183*u**3 + 81*u**2 - 42*u**2.\nAnswer: -4421183*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 35b (base 12) in base 6?\nAnswer: 2155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -n**3\/3 - 23*n**2\/2 - 31*n + 3857. Determine b(-17).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -15 + -1 + -2 - (11 - 10).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -2 + 1\/3*h**3 + 2*h - h**2. Let y(r) be the first derivative of g(r). Find the first derivative of y(m) wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10847 + -a3?\nAnswer: 10754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = -45*m + 45. Factor 12\/7*s**2 + 2\/7*s**m + 2\/7 - 8\/7*s**3 - 8\/7*s.\nAnswer: 2*(s - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b - 10*b - 4*b to v*b + f and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 23 = 2*b + 5*h, -2*b - 26 = -5*h. Suppose 11 = d - 0*d. Suppose -d = -3*p + 1. Sort b, 5, p in increasing order.\nAnswer: b, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*h + 21 = 4*k - 57*h, -4*k = 5*h + 9 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1119 - -593. Let t = 526.5 + o. Sort -0.06, 3\/5, t, 3 in increasing order.\nAnswer: -0.06, t, 3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z**(4\/9)*z*z)))**(22\/9)*z**(11\/2)\/z*z*z*z**(-8)\/z)**(-30) assuming z is positive.\nAnswer: z**(-2815\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11\/1298717 or 0?\nAnswer: 11\/1298717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-9))\/(10\/90).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 249 and ((-2)\/4)\/((-3)\/(-8)*(-81)\/20169).\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.8594363 and -32.\nAnswer: -32.8594363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (18\/(-72))\/((30\/8)\/1) and 17\/21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 5747490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101111100 + 100?\nAnswer: -10101111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 13*z**2 + 12*z + 2. Let g be c(-12). Let i = 580 - 29. Suppose -g*y - i = -3*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -163849, -163169, -162489?\n\"Answer: 680*y - 164529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 26*l**2 - 44*l + 45. Give m(0).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 56 divided by -118\nAnswer: -28\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1, -9, -59, -181, -405?\n\"Answer: -5*v**3 + 9*v**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + s + 4*s**2 + 2*s**2 - 5*s**2)*(3*s**2 + 0 + 0).\nAnswer: 3*s**4 + 3*s**3 + 9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -242, -608, -1152, -1886, -2822, -3972?\nAnswer: -5348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 370786820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -23343401 (base 6) in base 9?\nAnswer: -1331171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122010 - 2121?\nAnswer: -201201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 370 divide 198690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (333\/(-132) + 2)*-8.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-3) + (-6)\/(-8).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-77))\/(190\/(-1330)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 2*k + 0*k)*(268 - 12*k - 529 + 264)*(-1 + 1 + 10*k).\nAnswer: -120*k**3 + 30*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -39*g + 357. Let x be r(9). Let z = 16 - 11. Suppose m + 5*w = -z, 4*m + 0*w = -3*w + 14. Which is bigger: x or m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -8. Suppose 4*k = 2*l - 126, q*l + 0*l - 276 = 2*k. Let w = l - 53. Calculate the lowest common multiple of 27 and w.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 0)*(-3 - 1 + 3)*(-3*z - 2 + 2) + 18*z - 9*z + 2*z.\nAnswer: 20*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -93800 - 6.6.\nAnswer: -93806.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -736718970 - 302.73.\nAnswer: -736719272.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*m**2 + 40*m**2 + 38*m**2 - 8*m**2 - m**2 + m**2 - m**2 + (-2*m - 2*m + 5*m)*(3*m - 3*m - 2*m).\nAnswer: 58*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9331122881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1161 + 656 + 705 - 3*w**3.\nAnswer: -3*w**3 + 200","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 406 - 86 = -4*u, 4*u - 336 = -4*x. Calculate the remainder when 405 is divided by x.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2367 or -2365?\nAnswer: -2365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(((m\/(m\/m**2*m))\/m)\/m*m)*m**(-1\/7)*m)\/((m**(10\/9)\/m)\/(m*m*m*m**(-20)*m)) assuming m is positive.\nAnswer: m**(-835\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) 0.4 (b) -1 (c) 944 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 3*z**2 + 7*z - 10. Let h be 66\/15 - (-4)\/(-10). Let w be l(h). Suppose -4*c + 22 = -w. Calculate the remainder when c is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v*v*v**(-1\/5)\/v))\/v)**(-16)\/((v*v*v**(3\/35)\/v*v*v)\/v*v**(-26)\/v) assuming v is positive.\nAnswer: v**(376\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -45539, -182076, -409643, -728240, -1137867?\n\"Answer: -45515*u**2 + 8*u - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 245.0746 centuries to decades.\nAnswer: 2450.746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 187, 249, 95, -359, -1197, -2503, -4361?\n\"Answer: -14*i**3 - 24*i**2 + 232*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -207\nAnswer: 11\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (sqrt(77) - 3*((-3*sqrt(77) + sqrt(77) - sqrt(77)) + sqrt(77))))\/(-2*sqrt(396)).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(448)*-2 + -1 - sqrt(448)) + sqrt(448))*5)**2.\nAnswer: 800*sqrt(7) + 44825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*((q*q**(-2\/3)*q*q)\/q)\/q*q*q*q)\/q)\/q)**(-6\/17)*(q\/(q\/q**(-14)))\/(q\/q**(-4\/19)) assuming q is positive.\nAnswer: q**(-5293\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -4*v + 29, -108*n - 3*v + 24 = -103*n - 4*v for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34151 and 259.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.47*-2.22.\nAnswer: -1.0434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 234269?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 5570*t**2 + 1 - 1 - 2808*t**2 as i*t**2 + x + y*t and give i.\nAnswer: 2762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**2 - 1175814*i + 345634640649 = 0.\nAnswer: 587907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 25322.\nAnswer: 253220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(171)\/sqrt(36))**2.\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -2*y - y**3 + 1\/12*y**4 + 0 + 2*y**2. Let i be c(5). Which is greater: i or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -11*((1 - 7) + 0). Let l = -372 - -372. Suppose u - 5*v = j, -u = -l*u - v - 62. What are the prime factors of u?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1725199, -2 in descending order.\nAnswer: 1725199, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 7*n - 72, -f + 5*n - 2 - 22 = 0. Let y(s) = s**2 + s + 64. Let v be y(0). What is the highest common divisor of v and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 777*y - 261*y - 260*y - 255*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 + 79. Calculate the remainder when x is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**5\/60 + 5*q**4\/24 + 5*q**3\/3 + 3*q**2 + 23*q. Let c(r) be the first derivative of w(r). Does 20 divide c(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.483 - -0.057. Let r = s - 2.54. Is r at least as big as -2.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/5418 and 52\/441.\nAnswer: 37926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*h + 152*h**2 + 613*h + 153*h**2 - 310*h**2 - 1.\nAnswer: -5*h**2 + 516*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 864857489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/11 + 5543*d\/11 + 16620\/11.\nAnswer: (d + 3)*(d + 5540)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 + b + 6*b**2 - 6281921 + 6281997 in the form l + c*b**2 + h*b and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 11735*b**3 - 2*b**2 + 5*b + 2. Let q be r(2). Suppose 32*g + q = 60*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2006125123138 + -354\nAnswer: -2006125123492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.1? (a) -2 (b) 1\/4 (c) -0.022 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/14 - -3)\/(-13 + (-404)\/(-32))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.3, 3\/10 in descending order.\nAnswer: 3\/10, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**4 + i**3. Let n(z) = -3*z**2 - 2*z**4 + 18*z**3 + 3*z**2 + 3 + 17*z**4. Let g(v) = n(v) - 18*r(v). Find the first derivative of g(a) wrt a.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52119*k - 52109*k + 156279*k - 52088*k.\nAnswer: -37*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-666)\/(-1309) - (-39)\/(-91) and 1\/68.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s**(1\/4)*s))**9*(s*(s*s*s*s**(-3\/11)*s*s)\/s*s*s*s*s*s)\/(s\/s**(-3)) assuming s is positive.\nAnswer: s**(549\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 12, z: 7}. Give prob of sequence ppp.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*o - 32*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i + 0*i - 19 - 6*i + 0*i. Suppose 5*p + p = -36. Let j be d(p). Solve j*t + 3 = 2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -90?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 60. Let i be 9\/n + (-4003784)\/(-1565760). Let t = i + 55\/1398. What is the common denominator of -53\/18 and t?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44571413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + -13. Let w = 31 + v. Is w\/(2\/(32\/6)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 10*q - 12)*(-54*q**4 + 33*q**4 - 40*q**4).\nAnswer: -610*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 30\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 8 + 18. Let a(m) = m + 3. Let r(y) = y**3 + 12*y**2 + 11*y - 1. Let w be r(-11). Let h be a(w). What is the highest common factor of t and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a century in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4580249519?\nAnswer: 60623, 75553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n + 4. Give p(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 87951553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (k + 7*k - k)*(51*k**3 + 8*k**3 + 12*k**3) in the form c + z*k**2 + i*k**3 + a*k**4 + r*k and give a.\nAnswer: 497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*(z\/(z**(-1\/3)*z))\/z)*z)**(-2\/121)\/((z*z**(1\/2))\/z*z*z)**(-44) assuming z is positive.\nAnswer: z**(39920\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 479564581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*z + 27 = -35*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25288784*s**2*u**3*w**2 + 2*s**2*u - 7*s**2*w - 2*s*u**2 - 3*s*w**2 + 9757*u*w**2 wrt u?\nAnswer: 151732704*s**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 93*f**3*g**3 + 72*f**3*g + 42634*f*g**2 - 4353*f*g wrt g.\nAnswer: 558*f**3*g + 85268*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 678 = -111*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 221*s - 217*s = -114, 0 = 4*z + s - 114. Put z, 14, -2, 0 in decreasing order.\nAnswer: z, 14, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(209)*2 - sqrt(209))\/sqrt(11))**2)*3 + (sqrt(152)\/(sqrt(8) - sqrt(8)*-3) - (sqrt(209) - (sqrt(209)*-3 + sqrt(209) - sqrt(209)))\/sqrt(11)).\nAnswer: -15*sqrt(19)\/4 + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jm when two letters picked without replacement from fimflijliisf?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/2, -14, -4, 6, -0.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1432088 - -274?\nAnswer: -1431714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**9\/c)\/(c**(1\/6)*c)*(c**(-4)\/c)\/((c*c**(-7)*c)\/c)*((c\/(c*c**(-2\/3)))\/(c*c**(1\/6)*c))**(-49) assuming c is positive.\nAnswer: c**(244\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -426, 2, 1, -5, -16, 91 in decreasing order.\nAnswer: 91, 2, 1, -5, -16, -426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/8*72\/((-216)\/(-36)). Let u(d) = -5*d - 7. Let s(t) = -4*t - 7. Calculate o*u(q) - 4*s(q).\nAnswer: q + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k**4 - 5*k**4 - 2*k**5 + (-3*k**3 - 2*k**3 + 3*k**3)*(5 - 7 + 1)*(-13*k**2 + 5*k**2 - 6*k**2).\nAnswer: -30*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100001111100 + 10100000110001?\nAnswer: -1001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2632*y = 2637*y - 3253535. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 67548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 118287 (base 9) to base 4.\nAnswer: 101200003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*w - 5 - 5, -2*w = 3*n - 15. Suppose 4*g - 20 + 0 = w. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.1842743 milliseconds to minutes.\nAnswer: 0.000019737905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13761 by -1529.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 6*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -73*t**3 + 20*t**2 - 1480*t. Let z(u) = -26*u**3 + 7*u**2 - 494*u. Determine 6*q(y) - 17*z(y).\nAnswer: 4*y**3 + y**2 - 482*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 5. Let h(n) = n**3 + n**2 + n + 1. Let a(t) = -9*t**3 - 2*t**2 - 2*t + 13. Let p(i) = f*a(i) + 2*h(i). What is the derivative of p(s) wrt s?\nAnswer: -21*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2620 a factor of 108159415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16793 > 7815?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/3, 28713.9, -107\/6, 4?\nAnswer: 28713.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17812000 rounded to the nearest one hundred thousand?\nAnswer: 17800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f - 2*l = -55, -3*l - 1918 = 4*f - 1913 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + q. Let g be p(-1). Let z be 3*1 + ((-136)\/(-34) - -36). Sort z, g, 1 in ascending order.\nAnswer: g, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1867\/6290 + 2\/629. Let r(p) = p**3 + 7*p**2 + 2. Let f be r(-7). Calculate the common denominator of 0\/f - 712\/80 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrrrrfrffrrrrrrrfrrr?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l**3 + l - 1. Let z be f(1). Let i = -12 - -14. Solve i*b + 5*k - z = -0*b, 4*b - 15 = -5*k for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 789564 or 789649?\nAnswer: 789564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f - 2. What is v(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/20211563 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*m**3 + 6*m**2 - 5*m**2 - 4*m**2.\nAnswer: 171*m**3 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 378764 + 4?\nAnswer: 378768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 45*y**2 + 72*y - 1151. Let w be l(46). Calculate the highest common divisor of w and 3501.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3\/97 - -5908\/291. Calculate the common denominator of g and -62\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/3036 and 127\/2871642.\nAnswer: 63176124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000148583922 rounded to seven dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 90*b + 966*b**2 - 708*b**3 + 2*b**4 - 966*b**2 - 92*b to m + c*b**3 + j*b + n*b**2 + o*b**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/(-15))\/(3\/5))\/((4488\/(-44))\/(-5508))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of 0*s - 3\/160*s**6 + 0*s**3 - 9 + 1\/30*s**5 + 1\/96*s**4 + 8*s**2. Suppose n(r) = 0. What is r?\nAnswer: -1\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 105\/(-9)*-3*1. Suppose -74 = -4*k - 3*d, -3*k + 87 = 4*d + h. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 880495 and 5282970.\nAnswer: 5282970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 100395085 to the power of 1\/2, to the nearest integer?\nAnswer: 10020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uumzmmumjmmjimummm. Give prob of sequence mmum.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o**3 + 7*o**2 + 6*o**2 - 17*o**2 in the form f*o**3 + r + b*o + n*o**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 0*a - 1 - 2 - 2*a - 3. Let b be z(-6). Suppose -b*f - 2*t = -3*f - 2, f + 5*t + 8 = 0. Is f even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3, -8, -17, -30, -47?\n\"Answer: -2*b**2 + b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.749 rounded to 1 dp?\nAnswer: 21.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18225 and 150.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4c74b (base 15) in base 11?\nAnswer: 157896","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 11712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-72)\/(-30))\/3)\/((-6)\/45).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1))**0\/(s*s*s**(-1\/3))**(-22) assuming s is positive.\nAnswer: s**(110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 0.3, -0.2, -9, 173\/23 in increasing order.\nAnswer: -9, -0.2, 0.3, 1\/2, 173\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/1660 and -74\/35.\nAnswer: 11620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 24*j + 5*j - 4*j to c + r*j and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-76)\/1064*-2898*(-1)\/3\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.457 + 0.477. Let n = 25 + -26.12. Let y = j + n. Round y to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13232600 rounded to the nearest 1000?\nAnswer: 13233000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -408 = -456*x + 405*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1382*k**2 + 417*k**2 - 1399*k + 1399*k.\nAnswer: -965*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2721 greater than 354?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and -0.0208574.\nAnswer: -0.1668592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 346431853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 12:49 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*o**4 - 4*o**2 - 6*o**3 - 9*o**4 + 2*o - 2*o**2 in the form z + p*o**4 + x*o + l*o**2 + q*o**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 34. Let m(c) = -5*c + 6. Let n(z) = 14*z - 17. Let k(h) = i*m(h) - 6*n(h). Let w(f) be the second derivative of 5*f**4\/12 - 20*f. Give k(w(l)).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 9*f = 24. Let v = f + 7. Let d(o) = -7*o - 1. What is d(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -4, 0.79485, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124210 (base 5) to base 11.\nAnswer: 3782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*-1*(-98)\/12. Let k = 33 - c. Let v = -7933.12 + 7917.12. What is the nearest to v in 2\/5, k, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 126, 188, 250?\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p = -11*p + 4*i - 74, 5*i = -2*p + 70. Calculate the greatest common divisor of p and 1935.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70361.\nAnswer: 71, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -130 divided by 38252\nAnswer: -65\/19126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-2) - -5)*136. Suppose -5*y = -y - h. Let q = y + -21. List the prime factors of q.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-4 + (-9)\/(-3))*1\/(-1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8219534 to the power of 1\/2, to the nearest integer?\nAnswer: 2867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*k + 41*k = -404*k - 521*k + 23972 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6315, -6316, -6317, -6318, -6319, -6320?\nAnswer: -6321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60624640 is divided by 291.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 19*k**3 + 9. Let v(o) = -9*o**3 - 4. Determine -4*b(w) - 9*v(w).\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(5\/(40\/12)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 1220 = k, 4*d = 4*k - 0*k + 4904. Let y be ((-2)\/6)\/(8\/k). Suppose 4*b = y + 53. What is the highest common divisor of b and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 9) + (2 - (0 - 4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 7*q - p - 20 = 3*q, -p = q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5519984453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.421 + -0.079. Let u = f + 9.5. Let q = -8 + u. Which is the biggest value? (a) -1 (b) 1\/23 (c) 3 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10975 - 2?\nAnswer: 10973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39094236 and 8.\nAnswer: 78188472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2120211 (base 3) to base 16.\nAnswer: 75d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 1)*(-1 - -1). Let b(i) = -i**2 + i + 3241. Let f be b(g). Let x = f + -1441. What is x rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245386?\nAnswer: 2, 122693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 177 + -527. Let b = f + 1187. Let y = -837.0000497 + b. Round y to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 16*k**2. Let d = -123 - -245. Let f(g) = d*g + 126*g - 243*g. Give f(h(t)).\nAnswer: 80*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + b - 227 = 0, -4*b - 55 = -m - 9*b. Let d(x) = -m*x + 87*x - 50*x. Let v(w) = 6*w. What is v(d(g))?\nAnswer: -48*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 6\/4*(-56)\/(-84). Solve y*z = 4*i - 20, 2*z - 10 = -13*i + 11*i for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*l, -5*i - 5*l + 150 = 0. Suppose o - 6*o - b = i, 0 = 5*o + 2*b + 30. Let t = o - -15. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ueuhcvcnunnccuuccchc. What is prob of picking 2 n and 1 u?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 14*o - 30 = 0. Let t(f) = -5*f. Let b(x) = x. What is o*t(p) - 11*b(p)?\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -9*y**2 + 2*y + 1. Let u be b(-1). Let r = u + 21. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 9*m. Let w be u(-9). Suppose w = -n + 5*b + 54, 2*n - b - 68 = b. What is the remainder when n is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 2*o = -4*h + 28, -12 = 3*o. Let u be 7 - h - (-1)\/(-5). Factor -u*y + 72\/5 + 2\/5*y**2.\nAnswer: 2*(y - 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - (-2)\/(-4))*6 + 873. Is 19 a factor of k\/3 - (-3 - -10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**3\/5 + 77*t**2\/5 - 118*t\/5 - 48\/5 = 0. Calculate t.\nAnswer: -1\/3, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -46*g**2. Let h(z) = -339341*z. Determine q(h(t)).\nAnswer: -5297006456926*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**36*g*g**(-3\/2)*g**(-1\/2)\/g*g**(-28) assuming g is positive.\nAnswer: g**(-65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-15)\/(-4))\/((-118080)\/(-20992)))\/((190\/(-36))\/(-5)).\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 4354103?\nAnswer: 4354112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 48*t + 20. Let p(i) = -12*i - 5. Let h(x) = -2*b(x) - 9*p(x). Is h(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 74 = 5*z - 5*x, 127 = -4*z + x. Let k be (-1646699940)\/z + 2 + (-8)\/44. What is k rounded to the nearest 1000000?\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*o - 124 = -6*n, 4*n = -o + 112. Let g = -27 + n. Determine y so that 0 - 1\/3*y**g - 1\/3*y**4 + 0*y + 2\/3*y**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3380 + 3710. Calculate the highest common divisor of f and 8415.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d - 1. Let n be r(3). Which is greater: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, o: 9}. Give prob of sequence oo.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42.893 + 0.107. Let g = -42 + q. Let m = -1 + 0.5. Which is the closest to g? (a) m (b) -5 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, -0.03, 1, -0.3 in descending order.\nAnswer: 74, 1, -0.03, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*l - 2447 = -22*l + 4561. Calculate the remainder when l is divided by 57.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d. Let b be (-4 - 0)*(-5)\/4. Let j(m) = 4*m**2 - 5*m**2 - 3*m**2 + b*m**2. What is j(k(h))?\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179147 is divided by 33.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*o + 22 = 0, -18 = -i - o - 6. What is the remainder when 150 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/2370718 and 9\/434.\nAnswer: 73492258","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/(-1))\/(2*1). Let r be (-1)\/(-12)*18\/6. What is the nearest to w in 0.1, -1, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 414\/(-36) - -10 - (-66)\/4. Solve -p - 2 = l + 1, f = -5*p for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29872066?\nAnswer: 2, 7, 19, 61, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 102 and 4323882.\nAnswer: 4323882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -3*n + 4*m, 0 = -n - 12*m + 10*m + 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (217\/(-56) - -4)*0. Let n = 4 + 1. Suppose -4*p - g = 4 - 36, 0 = n*p - 2*g - 27. Solve 4*a = 3*i - 27 + 9, d = -4*i - 5*a - p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10*2)\/((-4228)\/755)*(-88172)\/536.\nAnswer: -47\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -919*z + 687 = 4*m - 920*z, -5*m - 4*z = -822. Solve 27*c - m + 305 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2811.8 to the nearest 10.\nAnswer: 2810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.8 + -4. Let a be 9\/36 - (-26)\/(-72). What is the nearest to 1 in a, g, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - (-6 + -1 - -27)) + 11.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 874126116 to the nearest integer?\nAnswer: 29566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136 and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -43571.9096 from 21630.\nAnswer: 65201.9096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 20534 (base 8) to base 14\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbcc when four letters picked without replacement from {c: 5, b: 11}.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 851*r**3 + 4*r**2 - 3*r + 3. Is q(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 45, 110, 199, 312, 449?\n\"Answer: 12*p**2 + 29*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 145*q + 141*q - 5 = 0, 5*g - 30 = q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 339.0307 - 0.0307. Let t = z - 311.7. Let o = t - 25. Round o to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 31*g**2 + 32*g - 53. What is the lowest common multiple of v(30) and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 440 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365 = -28*m + 55 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2293 + -1856. What are the prime factors of o?\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422081 is divided by 139795?\nAnswer: 2696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 23 (b) -10 (c) 0 (d) -2\/15 (e) 41623\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 251079953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u**3 - u**2 + 1. Suppose 0 = t + 4*t - 5. Suppose 5*z = 6 - 31, -3*h - 9 = 3*z. Calculate the remainder when a(t) is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-2479\nAnswer: 12395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4228558 is divided by 2114252.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/((w**(-5)\/w)\/w)*w*w*w*w**(-2\/15)\/w*w*(w**11)**6 assuming w is positive.\nAnswer: w**(1168\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*z + 7*z. Sort 4, z, -5, 0 in descending order.\nAnswer: 4, 0, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 1 + 23 + 10 + b**2.\nAnswer: b**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5328?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 24112157101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 44727 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9385\/1603 + -4\/1603. Calculate the common denominator of h and -9\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(432) + 0 + sqrt(432) + sqrt(432) + -1 + sqrt(432)) - (1*-3*sqrt(432) + -1))**2.\nAnswer: -48*sqrt(3) + 436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + -3*sqrt(88)*2)\/sqrt(8) + -5.\nAnswer: -5*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -7. Let y = -8 + z. Let p = -0.51 - -0.21. What is the smallest value in p, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 729\/923 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1622070708 divided by 3\nAnswer: 540690236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, l: 2, o: 8, w: 3}. What is prob of sequence ilo?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1062*v + 20082*v**2 - 1062*v.\nAnswer: 20082*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33366018?\nAnswer: 2, 3, 7, 631, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4888, -4887, -4886, -4885?\nAnswer: -4884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0833 + 2.9167. Is l not equal to 108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450*l + 451*l + 3 - 1 = -2*h, 3*l + 14 = 2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2 + 1. Let l be w(-1). Let x be (-3 + l)\/((-4)\/22). Let m = 37 - x. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g**4 - 101*g**3 + 7*g**2 + 101*g - 18 = 0 for g.\nAnswer: -1, 2\/11, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 4. Suppose -s*p + 35 = 5*t, -5*p + 7*t - 4*t + 19 = 0. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -358, 2, -10 in ascending order.\nAnswer: -358, -18, -10, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-13)\/2)\/((-1)\/2). Suppose 2*y - v = -4*r - 277, -5*y = 3*r + 653. Let o be (-13 + 1)*y\/15. Calculate the greatest common divisor of o and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*h + 68 = 125 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 6:29 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - -4 - (3 + -3 - 10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 150, 4\/3, -3?\nAnswer: 150","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4410 by 4.\nAnswer: -2205\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -0.4, -1.7, 1\/6, 2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*d + 65 = 0, 5*d - 7 = 18. Is 10 a factor of (t\/(-12))\/(2\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.03 - 0.60783?\nAnswer: -1.63783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 7*c**2 - c + 4. Give t(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4, 9, 60, 193, 444, 849, 1444?\n\"Answer: 6*k**3 - 13*k**2 + 2*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3214.754 to zero decimal places.\nAnswer: 3215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12770.9268 and -0.3?\nAnswer: 3831.27804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.08 + -0.02. Let o = 4969.9 + -4971. Put o, y, -1 in increasing order.\nAnswer: o, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - (-41 + 41)) + (1 - 16).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mj when two letters picked without replacement from lalammljllmppalapla.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 7*s. Let o be u(6). Find the third derivative of z**6 + 3*z**6 - z**o - 2*z**2 wrt z.\nAnswer: 360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1093*j**3 + 190*j**2 + 5 wrt j.\nAnswer: 6558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 2*r**2 - 2*r**3 + 0*r + 3\/4*r**4 - 1\/10*r**5 + 2. Suppose l(d) = 0. What is d?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*y**2 + 4*y**2 + 6*y**2 - 3*y**2 + 3*y + y - y + (y - 3 + 3)*(1 - 1 - y) - y**2 + 2*y - 2*y - 3*y**2 - 4 + 4.\nAnswer: -20*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5 + sqrt(68) + 1)**2 + 4.\nAnswer: 24*sqrt(17) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 666982 to the nearest integer?\nAnswer: 817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 1129*b + 1131*b - 31 = 0, -5*b = -40*h - 205 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 109857 a multiple of 303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12370047 and 1?\nAnswer: 12370048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41\/39 - 3323\/156. Find the common denominator of c and 7\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 - (1 - (7 + -3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/2179616 and -85\/817356?\nAnswer: 6538848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58026, -57932, -57838, -57744, -57650, -57556?\nAnswer: -57462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -8.32.\nAnswer: 2.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 5*f**4 + 1665*f**3 + 14700*f**2 + 38960*f + 25920 = 0.\nAnswer: -324, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5856\/119 (b) -1 (c) 5 (d) 2\/9 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/3 of a year in months?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.088 + 0.028. What is m rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -18. Suppose y - 12 = -4*u, -4*u + 33 = -4*y + 1. Suppose -3*f + 5*o + 10 = -19, -u*o = f - 4. Calculate the remainder when f is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6889?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38484?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -8070 divided by 6?\nAnswer: -1345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - 8. Let l = r + 27. Put l, 0.2, 1\/3 in decreasing order.\nAnswer: l, 1\/3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 57.47259 months?\nAnswer: 0.47893825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (4912098\/36)\/(10\/8*2\/15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 21*m - 4. Let o(a) = -22*a + 4. Let d(i) = -6*c(i) - 5*o(i). Let x be d(-5). What is the highest common factor of 21 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) -1 (c) 0.2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (3640\/(-700))\/((-2)\/10 + 0) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1346872 (base 10) to base 4.\nAnswer: 11020310320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -22. Suppose -w - 3*o - u = 0, -4*w = -7*w + o + 9. Let h = -6 + 8. Solve h*s - l = -2*s - 14, s - w*l = -7 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.157+-718\nAnswer: -717.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 + 5 - 5 + (3*d + 2*d - 4*d)*(1 - 1 + d))*((1 - 5 + 1)*(2*d**3 + 2*d - 2*d) - 19*d**3 - 10*d**3 - 3*d**3).\nAnswer: 76*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 35268 to the power of 1\/2, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5700 + 9133. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 300 + 433. Suppose 5*k = d - 349, -9*d + 11*d - 3*k - i = 0. Is d a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33942?\nAnswer: 2, 3, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 15, 7*w + 21 = -2*n + 2*w. Suppose -14 - 28 = -2*g - n*l, 0 = 5*g + 3*l - 95. Let d = g - 4. Calculate the remainder when 23 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63765\/2943*((-14)\/(-5) + (-6)\/15).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 - 81. Let n = l - -32. Is n\/(-6)*462\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*g**2 - g**2 - 3*g**5 - 3*g**2 wrt g?\nAnswer: -180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2609*u**2. Let m(n) = -103*n. Determine m(r(f)).\nAnswer: 268727*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + (sqrt(10)*-3)\/sqrt(5))*-6*-1 + 6*2*(sqrt(72) + 1)**2.\nAnswer: 132*sqrt(2) + 876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6422868 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 + -27. Sort x, -5, 4, -4 in ascending order.\nAnswer: -5, -4, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 42 + 3 = 3*z, 512*o + 2*z - 47 = 517*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 1. Let j(f) = 6*f - 5. Let r(q) = -j(q) + 2*l(q). Let c be (-7)\/(-2)*(-256)\/(-112). Suppose 0 = 188*i - 192*i + c. Determine r(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 24. Suppose 0 = -2*s + d*k + 8 + 8, 0 = -3*s - k + 4. Solve 4 = -s*u + 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -21122121?\nAnswer: 21122102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, -646, -8, 8\/5, 4?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) -0.03 (c) 5 (d) 1.5 (e) -0.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 49257128?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/4010 and 93\/1342?\nAnswer: 2690710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65\/168 - -1\/84. Let p = -2.7 + 3. Which is the closest to p? (a) 1 (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32170?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2 - 2*w. List the prime factors of o(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34 + 355254?\nAnswer: 355321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -2\/3, -211\/32, -1, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -477590481 from -2.2641.\nAnswer: 477590478.7359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*i, 4*f + 2*i - 9598 = i. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.1, -33, -26 in descending order.\nAnswer: 1, 0.1, -26, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 104 + -70. Suppose 0 = c - 5*c + 20, -3*h - 5*c = -g. Suppose h*a - 388 - 53 = 0. Is 21 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 2 (b) -26 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -14. Let r = -367 - -742. Suppose 2*y - 2*g = 112, 0 = -5*y - 5*g - 95 + r. What is the greatest common divisor of w and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/21 and -22\/51?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**3 - 4481*q**2 - 5004120*q + 35248752 = 0. What is q?\nAnswer: -2244, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + 2*p - 2 - 8, 2*p = 3*l - 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*g**2 - 49*g**3 - 146*g**2 + 13*g**3.\nAnswer: -36*g**3 - 18*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 9575 and 67019\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7.478 + 154084\nAnswer: 154091.478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*f + 5*x = -570, -46*f + 43*f - 3*x = 36 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4.5, 0.3, -1\/4, -21, 547?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 15*r**2 - 4*r - 56. Suppose -3*y + 34 = -2*u, -u - 5*y + y - 6 = 0. Does 14 divide n(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 5 - 3 - 19*c as u + i*c and give i.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/4*(-32)\/(-84). Let z(q) = q**2 - 4*q - 8. Let o be z(6). Let f be (-2)\/15*-12*5\/(-20). What is the nearest to 2 in f, o, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 422302 (base 5) in base 16?\nAnswer: 36fd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v. Let z(w) = -251*w**2. Determine z(q(t)).\nAnswer: -9036*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10670618 - 32011853 + 10670613 + 10670622 - 4*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: 1320\/2904*(-15)\/((-135)\/11)\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/6 - 2831*h**2\/6 - 22936*h - 276384.\nAnswer: (h - 2879)*(h + 24)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1757, 0, 4084 in descending order.\nAnswer: 4084, 0, -1757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 541*k**2 - 541*k**2 + 9*k**3.\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 21 = -j. Suppose j*r + 5*y - y - 844 = 0, -3*r + 629 = y. Calculate the highest common divisor of 19 and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -4 (c) 2.11 (d) -3\/2 (e) -2\/7 (f) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than 0.0705661?\nAnswer: 0.0705661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -285 - 179. Let x = j - -220. Suppose 2*c - 185 = 5*l, 5*c + 2*l = x + 141. What is the highest common factor of 19 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c + 0*c - c)*(28405 - 28405 - 591*c + (-1 + 1 + 2)*(-2*c + 4*c - c) + 5*c - 6*c + 0*c) + 16*c - 16*c - c**2 as w*c**2 + d + j*c and give w.\nAnswer: 589","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 2*h - 26 = -6, 2*o = -2*h - 14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**2 + 0*q**2 + 8*q**2 + (3 + 2*q - 3)*(-2*q - 4*q + 5*q) + (q + q - q)*(2 - 2 - 2*q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 7*i - 2*i, 4*i = -j. Suppose 4*k - 3*a - 68 = i, -a + 13 = k - 4. What is the remainder when k is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a*a**3*a)*a\/a**(-1\/5))\/((a*a**(3\/5))\/(a**(-5)\/a))*(a\/(a\/(a**(-1\/4)\/a)))**(-36)*(a\/(a\/a**(-8)*a))\/((a\/(a*a**5))\/a) assuming a is positive.\nAnswer: a**(153\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1041, -1029, -1013, -993, -969?\n\"Answer: 2*h**2 + 6*h - 1049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 7*f**2 - 6415*f + 1190336. What is s(658)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -3*r, -96*r = -92*r + 2*t for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.26 in 0.45, -41, -5?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**3 - 477*q**2 - 233*q - 2655. Determine p(-238).\nAnswer: -3845","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - -81b8?\nAnswer: 81c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6 + -8.6. Let a = c - -16. Let x = -149 - -144. What is the third smallest value in x, -0.3, a, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rj when two letters picked without replacement from yytoyotooojottroy?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1436990 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + 7*b - 4*r + 22, 4*b + 8 = -4*r for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4527916 days in milliseconds?\nAnswer: 39121194.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 210*f**2 - f - 13. Is n(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7, -129, 12, 4.\nAnswer: -129, 3, 4, 7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55 - 4 + 3)*(11*b - 9*b + 16*b).\nAnswer: -1008*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58\/(-16) + 72\/(-192).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 182 + -178. Suppose 0 = -p + 2*j + 434 + 130, 2*p + h*j = 1128. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.37 (b) -7 (c) -0.3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 + -54. Which is the closest to 6\/7? (a) 1\/7 (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 10*q - 4. Let s(f) = 17*f - 9. Let d(b) = -5*k(b) + 3*s(b). Calculate d(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 912 = 2*p - 7*m, 3*m = 4*p - 1817. Suppose 3*f + 1022 + p = 5*y, 289 = y + f. Is y a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 2, 10 in increasing order.\nAnswer: 2, 10, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 71023 to the power of 1\/2, to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55952 + -25549. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 1 = -2. Let x = c + 1. What is the third derivative of 3*t**2 + 4*t**6 - t**x - 2*t**6 wrt t?\nAnswer: 240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -3.7. Which is the nearest to d? (a) 3 (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/11, 1\/8, -0.0395632, 14, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*i = 299*i + 3*p + 18, 0 = -5*i + 2*p + 21 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-15)\/(75\/(-1310)) - 7?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 3*k**2 + 7*k + 6. Let g be m(-4). Let s(f) = 2*f**2 + 10*f + 7. Let w be s(g). What is the greatest common factor of w and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i = -65 + 20 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a - 8. Let y be z(5). Let q(i) = 7*i**3 - 12*i**2 + 9*i + 13. Let r(g) = 2*g**3 - 3*g**2 + 2*g + 3. Let p(d) = y*q(d) - 9*r(d). Calculate p(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 1804*j - 14458. Let h be l(8). Let p(o) = o**3 + 27*o**2 + 24*o - 45. Determine p(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 57 - -1*(0 - -1). Let k(a) = -a**2 - a + 93. Let q be k(-10). Suppose -q*l + 43 = b, 3*l + b = 3*b + t. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6108 - -18325\/3. Put s, -0.5, 4\/71, -0.2 in increasing order.\nAnswer: -0.5, -0.2, 4\/71, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03035 + 10.101985333.\nAnswer: 10.132335333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**5\/8 - 1843*r**4\/8 + 12169*r**3\/4 + 96415*r**2\/2 - 949075*r + 3944000 = 0.\nAnswer: -1856, -17, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 12*q**3 - 416*q + 13*q**3 - 41*q**3 + 12*q**3 - 320 - 100*q**2 = 0.\nAnswer: -20, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 9, -9, -2, 50 in increasing order.\nAnswer: -9, -2, 4, 9, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-3 - -2) + 5. Let p = -152 + 272. Let d be 1\/(243\/p - 2). Calculate the highest common divisor of d and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**5 + 13*m**4 - 10*m**3 - 118*m**2 - 149*m - 55.\nAnswer: -(m - 11)*(m - 5)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 12:14 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(4 - 6) - (-31)\/(-1). Let r = 43 + c. What is the remainder when (-2)\/(-4)*138\/3 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 235 - -61303?\nAnswer: 61538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 31326 (b) 0.03 (c) -4 (d) -35 (e) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/9880 and -91\/21060930?\nAnswer: 1095168360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 + 0.2. Which is the second biggest value? (a) i (b) -0.6 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/1240 and -73\/20.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/602 in 0.5, -406, 2, -45?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 10*t**2 - 4*t - 10. Let h be n(10). Let i = h + 89. What is the units digit of ((-84)\/18)\/((-2)\/i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, 0.2, 109, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5211415 years to months.\nAnswer: 6.253698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58.1 + 9.9. Let r = -67.99999786 + z. Round r to seven decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -43. Let v = -1 + h. Suppose -59 + v = -5*z. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, z: 1, q: 4, k: 6, o: 2}. What is prob of picking 2 y and 2 k?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14209209*m**2 - 7505347 wrt m?\nAnswer: -28418418*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 959649059*c**3 - 5824963.\nAnswer: 2878947177*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 7*g - 16. Let n be l(9). Let i be 0 - (2050000\/12)\/(n\/192). Round i to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221 (base 8) to base 4.\nAnswer: -2101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5*r**3 - 11*r**2. Let j(h) = 4*h**3 + 11*h**2 - 1. Let o(a) = -5*i(a) - 6*j(a). Determine o(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/321, 2, 2\/15, 0.1, -12.5?\nAnswer: -2\/321","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12850 and -1.747.\nAnswer: 12848.253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26939749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 28975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 5*r**2 + 2*r + 4 + 2*r. Let i(a) be the second derivative of 7*a**4\/12 + 5*a**3\/6 + 5*a**2\/2 + 2107*a. Calculate -6*f(o) + 5*i(o).\nAnswer: -o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -k**4\/12 + 5*k**3\/6 - k**2\/2 + 5*k. Let g be p(2). Solve -g*q - 3 = f, -2*f + q + q = -6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1201, 1191, 1181, 1171, 1161?\n\"Answer: -10*r + 1211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 15, -0.3, -18.7, 12, 0 in increasing order.\nAnswer: -18.7, -0.3, 0, 5, 12, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d + 3. Determine r(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m**2 - 3*m**2 + m**2)*(-47*m - 40*m + 4 + 29*m) in the form x*m**2 + k*m**3 + h*m + a and give k.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -9*a - 9. Let x(k) = -2. Let q(j) = 25*j + 36. Let m(l) = -q(l) - 5*x(l). Let v(d) = -4*m(d) + 11*w(d). Calculate v(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 2030*a**4 + 3162*a**3 + 5567. Find the third derivative of y(z) wrt z.\nAnswer: 48720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - h**3 - h**2)*(-42*h + 99*h - 13 - 49*h).\nAnswer: -8*h**4 + 13*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j - 11980 = 3*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**5\/5 - 1413*q**4\/5 - 190512*q**3\/5 - 5458752*q**2\/5 = 0.\nAnswer: -216, -39, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-10))\/(1911\/(-2940)).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 26?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (12 - 1) + -6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2100000200 (base 3) in base 13?\nAnswer: -17bb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from umqiqiw. Give prob of sequence uq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 65 + (-23)\/(69\/42).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/4)\/(12 - 9). Let z(p) = 13*p. Let l be z(-2). Let a be -1 - (l\/11)\/2. What is the third biggest value in c, a, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 8*j**2 + 4*j**3 - j**3 - 15*j - 5 + 1 = 0. What is j?\nAnswer: -1, -1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zilz when four letters picked without replacement from {u: 1, k: 1, z: 5, i: 1, l: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214965.\nAnswer: 3, 5, 17, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81085, -96546, -112007?\nAnswer: -127468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = -y + 164. Suppose 11*b - y*b = -60. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96467 less than 0.044378?\nAnswer: -96466.955622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q - 18. Let f(o) = -1. Let l(s) = 36*f(s) - 2*g(s). Let m(d) be the second derivative of -d**4\/6 - 4*d. Calculate m(l(i)).\nAnswer: -32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 1 = -2*z, 36*d - 4*z - 5 = 39*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24267 or -24229?\nAnswer: -24267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 4:51 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -266752, -533501, -800260, -1067035, -1333832?\n\"Answer: -h**3 + h**2 - 266745*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 75 = 2*s. Suppose 2*p - 1199 + 231 = 0. Suppose -5*q = -p - 106. Calculate the remainder when q is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -3\/7 (c) 5 (d) -0.6 (e) 2\/71 (f) 193\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((42\/(-20))\/(873\/1164))\/(21\/(-45))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in 3, -5, 1.5, 2\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -151*o - 29 wrt o?\nAnswer: -151","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 3 + 0 - 9 - (0 - 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20215 + -14205. Is b a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 221, 217, 215, 215, 217?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5149 + 6741. Calculate the highest common divisor of 2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 113*y - 4*y**2 - 1351*y + 1464*y - 7.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 212 + 451122?\nAnswer: 451334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 4 + 1 - -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3208470 minus -0.10401363?\nAnswer: -3208469.89598637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180191 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 25043 divided by -79\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 5:01 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.062 - -5.638. Let t = -6 + d. Let j = -114 + 343\/3. Which is the closest to j? (a) 5\/6 (b) t (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*f + 12 = 0. Suppose -5405 = -f*x - x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ennnenmeenmmennmneme. What is prob of picking 2 n and 1 e?\nAnswer: 49\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44*-5*(-22)\/((-3080)\/14).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - g = -4, 15*z - 4*g + 10 = 17*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -2*r - 452. Let n = -91 - r. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m - 5*w + 28, -410*m + 408*m = -4*w + 18 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 72000 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 h when three letters picked without replacement from {c: 1, b: 2, m: 2, t: 1, h: 8}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -3, -13*u + 15*u + 38 = 2*l. Solve 21*n - 17*n + l = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/3*h**4 - 4\/3*h + 4\/3*h**2 - 1\/3*h**5 + 0 + h**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -1 + 27 - 12 + 4*q - 15. Let d(i) = -5*i + 1. Give 5*d(r) + 6*f(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2198 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: Does 8 divide 65053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 586369 - 1813631. What is o rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2396.8442 times -4\nAnswer: 9587.3768","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2826)\/834 + -2 + 5. Let c = 7135\/834 + w. Calculate the common denominator of c and -35\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3503 + 3505. Solve h + 1\/3*h**s + 0 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309 - 543 = -9*p. Suppose -p = -10*r + 174. What is the smallest common multiple of r and 828?\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(243) + -2 + -2 + (sqrt(243)*3 + sqrt(243))*3)**2 + 3)*5.\nAnswer: -4680*sqrt(3) + 205405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from buujdjdjeduijuduuju. What is prob of picking 1 b and 2 j?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-2 - 0 - 0 - (-55 - -3 - -60))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 147 minus -87?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**2 - 2*x + 317. Is f(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**5\/2 + 163*j**4\/2 + 787*j**3\/2 - 491*j**2\/2 - 1348*j - 790 = 0.\nAnswer: -158, -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -67\/2. Find i, given that -1\/2*i**3 - h*i**5 + 0*i**2 + 0 - i**4 + 0*i = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 j when three letters picked without replacement from jvvjv.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3\/2 (b) -5 (c) 49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11774002.\nAnswer: 2, 43, 79, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*u + 15*u**2 + 8*u - 3*u**3 - 7*u wrt u.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-55)\/10)\/(3\/(-6)). Suppose -5 = -p + l. Suppose -4*g - p = -8*g. Calculate the smallest common multiple of g and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10103 + -3?\nAnswer: -10106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 741351290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71 + 71. Solve -4*r + 2 = -5*n - u, -2*r + 3*n = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*j + 38, -84*d + 86*d - 32 = -3*j. Let g(x) be the first derivative of -17 - 24*x + 4\/3*x**3 - j*x**2. Let g(i) = 0. Calculate i.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 4)*(-1 - 3 + 1)*(1 + 3 - 2)*(1151*z - 2234*z + 1320*z) to the form q*z + p and give q.\nAnswer: -2844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + q + 0*q + 5*q - 4*q + (2 - 4 + 4)*(-6*q - 6*q + 3*q) - 9*q + 0*q - 15*q)*(24 - 23 - 17) to f + h*q and give h.\nAnswer: 640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 349234884?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (360\/(-64))\/(-15) + 10\/16. Let y be (-2)\/5 + (-932)\/(-5). Is ((y\/3)\/1)\/c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 1. Let z(p) = -75*p**2 + 5. Let f(t) = 4*o(t) + z(t). Let s be f(-1). Round s to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l + 13. Give c(10).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26896 and 5986?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.676164 centuries in years?\nAnswer: 367.6164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**3 - 7*y**2 - 6*y - 5. Is b(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6295.991 to the nearest one hundred.\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (175\/(12600\/48))\/((-1)\/147)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6135 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-1)*(-6)\/48*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5935 + 5937. What is the fourth smallest value in 5, s, 0.5, -4, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 3*n + 1. Give y(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 10*c + 4 - c to the form w + j*c and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, g: 1, l: 2, r: 1, q: 1, i: 1}. Give prob of sequence gq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89379824 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c - 162. Let g be z(0). Which is greater: g or -160?\nAnswer: -160","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-14) - (-4)\/(-14). Let r = -32 + 34. Solve -4*s + z = -6, -r = -y*s + 2*s + 2*z for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven eighths of a tonne?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 942*r - 978*r - 252 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d\/d**(4\/5)*d*d)\/d)\/d**(-2\/9))\/(d**(-3\/2)\/(d*d**(2\/3))) assuming d is positive.\nAnswer: d**(503\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2900131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9 - (-2 - -1 - -3). Let b(v) = 9*v**3 + 13*v**2 + 11*v. Let k(d) = 4*d**3 + 6*d**2 + 5*d. Let y(h) = m*k(h) - 3*b(h). Factor y(g).\nAnswer: g*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-222636)\/(-156) + 2\/(-13). Suppose -9*t + 1309 = -h. Calculate the highest common factor of 16 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + y + 830. Let d = 7 - 7. Let n be r(d). What is n rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/7)*p\/(p**(-1\/3)\/p)*p**(-6)\/(p\/(p\/p**(3\/8)*p)*p) assuming p is positive.\nAnswer: p**(-631\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -144814 + 483893. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -f, 1463 = 3*p - 4*f + 2*f. Suppose -3*h = -0 - 6. Suppose -2*t - 2*x + 990 = h*t, -2*t = -x - p. List the prime factors of t.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-4*4*((sqrt(13) - (0 + sqrt(13))) + sqrt(13)) - (sqrt(1300) - (-1 + 5*sqrt(13))).\nAnswer: -85*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - 3\/3*-1. Suppose -q = 2*w + 7, z*q = -4*q + 5*w + 37. Is q a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100232220 - -2000?\nAnswer: -100230220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -371845\/18 - -20653. Let b(p) = -p**2 + 16*p - 32. Let c be b(13). What is the common denominator of c\/20*(-1485)\/105 and w?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z - 15. Let f be o(-15). Let u be ((-1104)\/f)\/(-2) - (2 - 3). Let d = -262\/15 + u. Calculate the common denominator of -93\/8 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9+-358095\nAnswer: -358104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/7 or -10813?\nAnswer: -10813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 2, 30 in decreasing order.\nAnswer: 30, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -312*q**3*r**2 + 39*q**3*r - 2*q*r**3 + r**4 - 6*r wrt r.\nAnswer: -624*q**3 - 12*q*r + 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**10\/s)\/((s\/s**(12\/7))\/s))**(1\/19) assuming s is positive.\nAnswer: s**(75\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 2 + 2)*(0*n + 0*n - n) + 4*n**2 + 0*n**2 - 2*n**2 + (-20*n**2 - 20 + 20)*(3 - 3 - 1) - 2*n**2 + 5*n**2 - 2*n**2 + n**2 - n**2 - 2*n**2.\nAnswer: 22*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72805999.\nAnswer: 7, 883, 11779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10.6 (b) -5 (c) 1419 (d) 100\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b3c + -4?\nAnswer: -b40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 12 = 0, -14 - 4 = -2*u - 2*j. Suppose 40*b = 335 - 95. Solve 0 = 2*k + 3*d - b*d - 10, u = -3*d for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-8) + (-63)\/(-12). Let t = -5 + 8. Suppose -t*p + 0*y - 5 = -2*y, -4*p = -3*y + 5. Put p, z, -3 in descending order.\nAnswer: z, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.4, -0.09, 2\/9, -33?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 12*h**2 + h + 14. Let f = 12 - 24. Let d be t(f). What is the first derivative of 2*s**2 + 4 + 2*s**2 - 5*s**d wrt s?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*g**4 + 14*g + 5*g + 39*g**4 + 6*g**2 - 6*g to the form d + n*g**2 + q*g**4 + j*g + x*g**3 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 6*m + 3*m = -6, 3*a = -m - 10 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.029 + 0.471. Let h(f) = -f + 5. Let m be h(8). Which is the fourth biggest value? (a) -1 (b) m (c) 0.15 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**3 + 5*t**3 - 41*t**2 + 41*t**2.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, c: 4, f: 1, t: 1, h: 1}. Give prob of sequence ftch.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 74*r**5\/5 + r**4\/4 + 7*r**3 - 103. What is the third derivative of w(g) wrt g?\nAnswer: 1776*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1531 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 62287.51 rounded to the nearest 1000?\nAnswer: 62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*c - 64*c - 245*c - 3927 = 0 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.409 - 0.009. Sort -1, m, -0.1, 0.3 in decreasing order.\nAnswer: m, 0.3, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 166794 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -33*d**3. Let k(i) = -825*i**3. Calculate 4*k(v) - 99*r(v).\nAnswer: -33*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -15*i**3 + i**2 + 2*i + 2. Let w be y(-1). Solve -2*q + 8 = p, -4 = 2*p + 2*q - w for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -979*p**2 + 2166*p + 6253467.\nAnswer: -1958*p + 2166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12, -11, 22, 111, 280, 553, 954, 1507?\n\"Answer: 4*n**3 - 8*n**2 - 3*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 4:56 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 456700 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (244\/8)\/(3\/18). Let u be c\/27 - 4\/(-18). Suppose 4*f = 8*w - 4*w - 32, -4*w = -f - 17. Put 4, u, f in decreasing order.\nAnswer: u, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 - 2*q. Let g(j) = 24*j**2 + 119*j - 4. Let r be g(-5). Let h(p) = -1. Determine r*y(t) + h(t).\nAnswer: 2*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41.949 + -42. Let l = -4.761 - v. Round l to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 7809?\nAnswer: -4\/7809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ttttttttttftfttttfft?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 3*k + 13, 0 = -2*k + 11 - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 227971 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -72687\/14 + 5192. Let y(x) be the second derivative of 0 - 12*x + 1\/84*x**4 + 1\/21*x**3 + u*x**2. Solve y(f) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2*r + 12 = 0. Let i(x) = x**3 - 6*x**2 + 10*x - 5. What is the remainder when ((-232)\/r)\/(8\/12) is divided by i(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 12*u**2 + 12*u - 10. Let o be y(11). Let d be (0 - (2 - 3))\/(o + -2). Is 10 a factor of 63 - (-6 + 3 + d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*r = -1426 + 7126 for r.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477033 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 73*p**2 - 4*p - 42. Let l be n(8). Calculate the common denominator of 0 + (-1)\/(-10) - l\/1520 and 5\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and -0.21.\nAnswer: -4.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 10) to base 11.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {f: 4, m: 4, h: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 358, 775, 1252, 1789, 2386?\n\"Answer: 30*g**2 + 327*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.2 (b) 387 (c) -2\/5 (d) -1 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 70386 = 5*d. Let x = d + 1055353\/15. Let r = 29 + x. Which is bigger: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3085231.69 rounded to the nearest 10000?\nAnswer: -3090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**5 + 4*t**5 - 4*t**5 + (-1671 + 317*t**3 + 1671)*(t**2 + t**2 - 3*t**2).\nAnswer: -319*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2111021011120110 - 22?\nAnswer: -2111021011120202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -1. Let t(l) = l - 6. Let a = 75 + -85. Calculate a*g(o) + 2*t(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 12248 = -4*z, 33*z - 37*z + 12251 = 5*v. Calculate the greatest common factor of 19 and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - n + 6 = 0. Let k = n - 1. What is the derivative of -2*c + k - 3 + c wrt c?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*t + 2. Suppose -2*k + 136 = 40. What is the least common multiple of (k - (3 - 6))*(-4)\/(-6) and t?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -14527?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1779 is divided by 210.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 3*o - 14 = 0, l - 6 = 2*o + 23 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -1.8, 3\/4, -6, 5\/2, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 105 + -313\/3. Let c = 3 - 1. What is the closest to 3 in c, a, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (6 + 0) - 1. What are the prime factors of (-124)\/(-8) - (-2)\/o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -9*z - 10 + 9*z + 7*z - 6*z. Let c be (1 + 3)\/(2\/(-11)). Let h(g) = 1. Give c*h(i) - 2*f(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206380 - 452546 = -18*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*m - 77490 = 69*m. Is 45 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2416 is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.3, -0.3, -2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3.2 (b) -4 (c) 42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p**3 + 149*p**2 - 53*p + 584. What is y(37)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7070 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -134.31 + 134.37129. Let v = -0.0576 + g. What is v rounded to 4 decimal places?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 496 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12308 > 147691\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 1 + 0*v**2 - v + 7*v**3 + v**2 - v**3. Let o(k) be the first derivative of k**3\/3 - 3*k**2 - 6*k - 5. Let r be o(7). Determine t(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1182 to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 6:57 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -37, -107, 0, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(((-2*sqrt(98) - sqrt(98))\/sqrt(7))\/(sqrt(112) + sqrt(112)*-2) + 5 + -5)**2 + -5)*-4.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100442 + 120441341?\nAnswer: 120340344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 129*i**2 - 302*i + 2. Let p(r) = 55*r**2 - 149*r + 1. Give -7*p(m) + 3*s(m).\nAnswer: 2*m**2 + 137*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l = 8 - 34. Is 5\/(-20)*l*(-3508)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aagghughegam. Give prob of sequence me.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*z + 6. What is the remainder when 21 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + -3 + 2)\/((-12)\/6). Let i(j) = j**3 + j**2 - 3*j + 2. Let m be i(3). Suppose 0*o = -o + 2. Solve 3*w = -d - r*w + m, -d - 6 = -o*w for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iiyiyiyyiyiyy?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/806 and -51\/130.\nAnswer: 4030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 18932?\nAnswer: 1\/18932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10768 + 10777. What is the second smallest value in a, 3, 0.5, -8\/9, -4?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q = 22*q - 5. Suppose -216 = q*o - 1186. Suppose 325 + o = 3*a. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 16) to base 3.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.28 - -0.78. Let t = -4.08 - -0.08. Which is the third smallest value? (a) -0.3 (b) d (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*p - 39 + 39.\nAnswer: -20*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357516082.\nAnswer: 2, 7, 11, 1201, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -30073676 or -30073673?\nAnswer: -30073673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 + (-33 - 2) + -19?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -333 = -196*g + 255. Let f be 4\/(-18) + 4\/18. Solve f = -g*z - 0*z + 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.6 and 113565?\nAnswer: 113565.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -4*i**2 + 4*i**4 - 4*i**3 + 4*i + 0*i - i + i = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**3 + 174*s**2 + 489*s + 18123. Give i(-57).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 30*r + 478. What are the prime factors of n(18)?\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -13.75. Let s = -5 - j. Let o = -0.15 - s. What is the biggest value in -6, o, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -113 + 115. Let r be -4*3*(1\/g + -1). Suppose 5*u + r*v - 156 = 2*v, -v = -3*u + 80. Solve -4*t - 2*l = -u, -3*l = 3*t - t - 22 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of 1\/1365*b**7 + 1\/156*b**4 + 0*b + 0 + 0*b**3 + 1\/260*b**6 + 1\/130*b**5 + 15*b**2. Solve k(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p + 11. Let y be w(-5). Let k(l) = l**3 + 2*l**2 - 10*l - 8. Let a be k(y). Solve -5*v + 4*v + 4 = a for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75)\/(-25)*(10\/(-3))\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4))\/((-306)\/24).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 v, 1 f, and 1 i when four letters picked without replacement from {n: 1, e: 2, v: 1, i: 3, f: 10, o: 2}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 8*n + 5. Suppose 2*p + 18 = 5*m, 2*p - 36*m + 37*m = -18. Determine a(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dr when two letters picked without replacement from ddcdeedr?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/39, 1, 10\/19209, -2\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrh when three letters picked without replacement from drddrdphrddrrd.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -2994.227 to the nearest 10.\nAnswer: -2990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -25*c - 6. Let v(y) = 10*y - 15. Let l be v(3). Suppose 3*n = -l, 10*n + 45 = -5*a + 5*n. Is z(a) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/45 and -113\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 i when three letters picked without replacement from {k: 2, i: 8}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*w**2 + 9*w**2 - w**3 + (-2*w**3 + w**3 + 3*w**3 + (-4*w**2 + 3*w**2 - w**2)*(-3*w + 3*w - 2*w))*(3 + 0 - 2).\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.31743 nanograms in micrograms?\nAnswer: 0.07631743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 12 = 2*c, -3*o - o + 22 = 3*c. Suppose 3*n - 5*n + 2 = 0. Suppose 4*x + 3*y + 3 = 0, 2*x + 5*y - 30 + 35 = 0. Put c, x, n in descending order.\nAnswer: c, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -1)\/((-19)\/(1140\/36)). Let y be (-6)\/(f + 0 + 221\/(-34)). Solve 2*q + 10 = -0*q + 4*m, y*q + 5*m = -7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c - 2. Let o(b) = -2*b**2 + 5*b - 7. Let a be o(2). Let j be a\/(-20) + (-42)\/8. Determine q(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -4. Let v(l) = -l**3 - 5*l**2 - 4*l - 2. Let x be v(j). Is x\/4*(-62 - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 - 3*c - 3. Let t be (5\/2 - 3)*-2. Let h be t + (-2 - -4) + 0. Give v(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(((-24)\/8)\/(6\/(-4)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-144)\/(-32)*16\/6. Let u be (-1)\/4 - (0 + (-39)\/p). Is 10 a factor of (u*10\/3)\/(7\/21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -49 + -9?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 8*i - i**2 + 0*i - 8 + 11*i - 8*i. Let u be s(10). Suppose -4*t = -2*x - u, 5*x - 2 = -t + 4*t. Solve 5*w = 4*w + t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5823 divided by -5823\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -4, -1 in increasing order.\nAnswer: -4, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, x: 2}. Give prob of picking 1 q and 2 x.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -63, 0.2, -2 in descending order.\nAnswer: 0.2, -1, -2, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 162, 3, -0.4, -0.165 in descending order.\nAnswer: 162, 3, -0.165, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/(-1089)*90)\/((-3)\/33*-1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 10*p - 20*p - 107 + 9*p to the form z + d*p and give z.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -438, -3375, -11320, -26775, -52242, -90223, -143220?\nAnswer: -213735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -z**7\/630 - z**6\/90 + 7*z**5\/60 - z**4\/18 - 14*z**3\/9 - 877*z**2. Factor o(y).\nAnswer: -(y - 2)**2*(y + 1)*(y + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -43, 91.\nAnswer: -43, 5, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 71159783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g - 5 = k + 34*g - 8*g - 34, -g - 121 = -2*k for k.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -131 - -91. Let p be 2\/3 - z\/12. Suppose 2*x + 4 = f, 27 - 7 = 5*f - 3*x. What is the highest common divisor of f and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -3 - ((9 - -1) + -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03978766 + -0.0398. Round u to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 - 6. Suppose -4 = b - g. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -4 (b) 1\/3 (c) 244.8 (d) 0 (e) -2.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6882250 and 2250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**3 + 2423 - 4*y - 1211 - 1212 + 46*y**2 to z*y**2 + h*y**3 + o*y + i and give z.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c - c + 10 = 10. Solve c = -36*r + 25*r + 22 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 9. Let l be d(-6). Find q, given that -q + 1 - q**3 - 2*q**l + 4*q**3 - q**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 7*z**4\/3 - 2*z. Let v(c) = 11*c + 10*c - 32*c + 13*c. Determine k(v(a)).\nAnswer: 112*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(190)\/sqrt(90))**2 + (sqrt(19) - sqrt(19)*2*5) + sqrt(19) + 1 + 4.\nAnswer: -8*sqrt(19) - 23\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6.2 and 1.02.\nAnswer: 7.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 55*l**2 + 4*l + 67. Let i be w(55). Calculate the highest common divisor of 369 and i.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k**3 - k**2 + 1. Let w be m(-1). Let t = -5 + w. Solve q - b + 0 + 1 = t, -5*b - 20 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*f**3 + 123*f**3 - 372*f**3 + 125*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 0.001, -6, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4*a = -40, -7*u + 4*u = 5*a - 37. Suppose 3*i = -5*t + 35, i + u*t - 5 - 16 = 0. Solve 2*f = -4*b + 14, 2*b - 11 = -2*f + i*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.013 and 0.762.\nAnswer: 0.009906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -107620 - -153921. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59 - 60. Let g be -10*(-10)\/6 + z\/(-3). Let k(r) = -r**2 + r + 34. Let w be k(0). What is the highest common divisor of g and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*p + 10*p + 19*p + 131*p to d + w*p and give w.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a - 21. Let u be s(-6). Solve 3*w + o = u*o + 1, 0 = 2*w - 5*o + 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -215616620 rounded to the nearest 100000?\nAnswer: -215600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2515390, 2515321, 2515262, 2515219, 2515198, 2515205, 2515246, 2515327?\n\"Answer: n**3 - n**2 - 73*n + 2515463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/104 and 77\/4.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2320?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*z + z = 511, 3*c - 5*z - 347 = 0. Suppose -86 = -5*i + c. List the prime factors of i.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 21*p**3 - 33*p**2 + 615*p + 80. Let a(c) = -2*c**3 + 3*c**2 - c + 1. Let i(x) = -22*a(x) - 2*b(x). Find the first derivative of i(t) wrt t.\nAnswer: 6*t**2 - 1208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/78912 and -163\/47136768?\nAnswer: 141410304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2897 to the nearest ten.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29450 and 6169.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1015163 - -819\nAnswer: -1014344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-38)\/(-76)*1\/(-26)*6\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 3*i - 6. Let k be x(-3). Solve -8 = 5*p + k for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -5*w**8\/112 + w**7\/42 + 113*w**6\/24 + 179*w**5\/12 + 175*w**4\/12 + 34*w**2 + 2*w + 2. Solve x(v) = 0 for v.\nAnswer: -5, -1, -2\/3, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2452 (base 6) to base 12.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/((18\/4)\/(-1)). Put n, 0.2, 4 in descending order.\nAnswer: 4, n, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*w - 12. Let v(k) = -5*k - 2. Let f(i) = i. Give w*v(y) + 4*f(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 0*r**2 + 3*r**2)*(2*r + 3 + 2 - 3) + 45*r**2 - 45*r**2 - 3*r**3.\nAnswer: -r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 81*g**2\/4 + 792429*g\/4 + 29349\/2.\nAnswer: 3*(g + 9783)*(27*g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -8*t + 17. Let w be g(-8). Let x = 113 - w. Does 14 divide (x\/12)\/4*123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229655054 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**6\/120 + 7*o**5\/30 - 7*o**4\/12 + 7*o**3\/2 - 15*o**2. What is the least common multiple of w(-15) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.05, -335023, -0.3 in decreasing order.\nAnswer: 1.05, -0.3, -335023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -198375 less than 43.96227?\nAnswer: 198418.96227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w + 2. Let k be (-1)\/(3 + -4)*-1. Let j(f) = f. What is k*u(s) + 6*j(s)?\nAnswer: 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2500892622 - 213\nAnswer: -2500892835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = 233*z - 238*z - j, 0 = 5*j + 5. Let l(a) = -a - 30. Let w be l(0). Is z >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pyy when three letters picked without replacement from {g: 2, p: 4, y: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 9:41 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = g. Suppose 18 = 5*s - 2. Let p = s - 2. Sort -4, p, g in ascending order.\nAnswer: -4, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*s**2 - 3*s**2 + 3*s**2)*((-2 + 2 - 2*s)*(-5 + 3 + 3) + 35*s - 179*s + 15*s).\nAnswer: -262*s**3 + 262*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, h: 1, u: 1, d: 1, w: 2, x: 1}. What is prob of sequence ou?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from senesnenensnse. What is prob of picking 1 e, 1 s, and 2 n?\nAnswer: 200\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*m + 9711 = 19520 - 9329 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -84*b. Let x(c) = -7*c. Let u(s) = -3*d(s) + 35*x(s). Let k be u(1). Let y = k + -5. Calculate the lowest common multiple of y and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 172*v + 173*v - 14 - 327*v. Let b be l(1). Solve -2 = b*c + 10 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -8. Suppose 2*w + 2*w = -h*s + 14, -3*w + 23 = -4*s. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*o + 116*o = -12454. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -975d (base 15) in base 13?\nAnswer: -11776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53\/65 - -21\/13. Let t = -2 - -7. Let z = -3.8 - 1.2. What is the biggest value in t, y, z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18437*2920\nAnswer: -53836040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/6900874 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -58, -9, 3 in decreasing order.\nAnswer: 3, 1, -2, -9, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2786)\/(-10) - -2) + (-2)\/(-5). Let j = w - 50. What are the prime factors of j\/22*14\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114213?\nAnswer: 3, 11, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 10, i: 1, h: 8}. Give prob of picking 1 k, 2 h, and 1 i.\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-1)*b**(-5))\/(b**(1\/5)\/b**4)*((b**3*b)\/b*b*b**(2\/3))\/(b**(-2)*b\/(b*b\/((b**0*b)\/b))) assuming b is positive.\nAnswer: b**(127\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**4\/12 - 12*a. Let i(d) = -3*d**2. What is k(i(x))?\nAnswer: -9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -57*m + 10 + 4*m - 4. Let n be (-19)\/((-19)\/(-2)) - 2. What is the units digit of u(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3 + 2*(-4 + sqrt(32) + 2 + ((-2 + 1*sqrt(288))**2 - sqrt(288)))*-5.\nAnswer: -2892 + 560*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekkdeksbqqbkkekde. What is prob of sequence ek?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 43*(5 - 2). Let s = -113 + a. What is the lowest common multiple of s and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*j**2\/2 + 144707*j\/6 - 144917\/3.\nAnswer: (j - 2)*(105*j + 144917)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11830000 rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5680)\/82360 + (-528)\/(-87)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 0*i + 3*g + 17 = 0, 5*i - 5*g = -25. Let d(t) = -7*t - 3. Let j be d(i). Solve 2*l + 3*l - j = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 188? (a) -1 (b) -0.5 (c) 0.0383 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4 = -2*b, 4*x + 4 - 10 = -3*b. Suppose x*p = p - 27. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -15. Let o(l) = -l**3 - 6*l**2 - 6*l + 4. Let m be o(j). Which is smaller: m or -27\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11346?\nAnswer: 2, 3, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/715809 and 89\/7506.\nAnswer: 1790954118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -1 + -4 + 24 + 18 + -5.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 7*g**2 + 6*g + 7. Let u be z(-6). Suppose q - 3 = u. Let k(w) = -w + 12. What is the units digit of k(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*c, 4*c - c + q - 9 = 0. Let m(p) be the third derivative of p**4\/24 + 7*p**3\/6 - 2*p**2. Let s be m(-3). Solve -c*j = -3*j + s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - ((-1)\/(-1) - -7). Let o be w*((-19 - 0) + 2). Let s = o + -64. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 5*h - 294861 + 6944876, 5*k = 2*h - 6649994. What is k rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m - 2. What is the remainder when 90 is divided by p(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 27*b - 220. Calculate d(7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 115 + 0*y + 2*y - 124 + 3*y**3 to r*y**2 + g*y**3 + x*y + p and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 + 34. Suppose 0 = -d - 3*d + 2*v + 44, -5*d - 4*v + 29 = x. Let b = 10 - 6. Calculate the least common multiple of b and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 8*p**2 - 22*p + 15. Let b be w(-10). What is the fourth smallest value in 2\/13, 6\/11, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000732769 to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00109696 rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*k - s, 4*s = -8*k + 5*k - 3. Suppose -63 + 45 = k*h. Let w be 1*-3*h\/18. Sort 0, 17, w in ascending order.\nAnswer: 0, w, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from asawwsuwaaawyy. What is prob of picking 1 w, 1 a, and 1 s?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 10:44 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*d = -p + 21, 5*d = -2*p + 17. Suppose 0*t = -d*t + 3750. Suppose -296 = -2*a - h, -3*h - 2*h + t = 5*a. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from hnnbbngagahgaoa?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 651812?\nAnswer: 2607248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 3987981.12\nAnswer: 797596.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a + 5. Let u be q(6). Let v be (-27)\/45 - 1*u. What is the closest to -2 in v, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.4563 nanograms in grams?\nAnswer: 0.0000000774563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11 and -2760031?\nAnswer: 2760042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -6*w + 18. What is the units digit of h(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 1439*u + 34 = -1442*u, -4*m - 5*u = -5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8329 - -8334. Solve -14*l + 12*l = 3*x + 9, -l = -n*x - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 - 1. Let u = 3165 + -3168. What is the nearest to -6 in x, 0.3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 211787 = 211839?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and -0.3242742899?\nAnswer: 2.6757257101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -60*a**2 + 0*a - 1\/6*a**4 + 5\/12*a**5 + 7\/3*a**3 + 2. What is the second derivative of h(l) wrt l?\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q + q + 2*q)*(0*q**2 - 3*q**2 - 3*q + 0*q**2)*(0 + 0 - 7*q) to c + d*q**2 + s*q**4 + p*q**3 + u*q and give p.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from kkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 4*x - 6. Let k(j) = j**2 + j. Suppose -3*s = -p - 13, 5*p - 2*s + 11 = -2. Give p*y(b) - 2*k(b).\nAnswer: -b**2 + 2*b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-81)\/36*(-26)\/117 - 115\/150.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 8) in base 14?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t - 3*t + t)*(t - 9*t + t) + 3*t**2 + t**2 - 2*t**2 in the form m*t + o*t**2 + p and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - (48 + -18 + 7).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + f + 9 = 0, 2*i - 4 + 5 = -f. Let l(o) = 5*o**i + 3 - 2*o**3 + 3*o**3 - 4 + 3*o + 0*o. Give l(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101101000001101111 (base 2) to base 10.\nAnswer: -708719","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 1945 = -1635. Suppose -7*c = -6 - r. Calculate the greatest common factor of 208 and c.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 2*y + 2321, 0 = 2*q - 7*y + 6*y - 1547. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/3311 and 33\/1204.\nAnswer: 13244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-7)\/(7\/6))\/(-1). Let i be (-2)\/(-8) + (-1)\/4. Let n(o) = f*o + i*o - 3*o - 1. Determine n(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 19*z**2 - 30*z + 6. Calculate the lowest common multiple of 2 and s(-4).\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 6*b**2 - 2*b - 4. Let w(a) = -2*a**3 + a**2 - 1. What is i(p) - 6*w(p)?\nAnswer: 11*p**3 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 2*y = 0, 7*d - 3*d + 2*y = 18 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1240 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 61, 1\/4, 3\/4, -0.9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 106339734 to the power of 1\/4, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*136\/(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2011856)\/(-248216) - (2\/19 + 0)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2810107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 652335?\nAnswer: 3, 5, 157, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 7*s + 5. Let m be h(8). Suppose 0 = -3*z + z + 8. Let o be m*2*z\/(-6). Solve 0 = o*q - 6 + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + z = l + 3, 0 = 3*z + 3. Let r(b) = 9*b**3 - 2*b**2 - b + 1. Does 19 divide r(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*z + 56, -3*s + 3*z - 68 = -s. Let k be -1*4 + 0 - (48 - 116). Let i = k + s. Is 12 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.04 - 2.36. Let n = p - 0.6. Let u = 72 + -145\/2. Sort n, -1\/6, u in descending order.\nAnswer: -1\/6, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + -5. Let b be (-2)\/8 - v\/(-16). Which is smaller: -2\/11 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 271456692?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -1025*r**4 - 3*r**2 - 4467*r. Let p(y) = 7170*y**4 + 20*y**2 + 31270*y. Let s(n) = -20*d(n) - 3*p(n). What is the second derivative of s(k) wrt k?\nAnswer: -12120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.65205 and 21.\nAnswer: -13.69305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16.5 - -26.86. Let g = v - 9. Let a = g - -17.64. Is -1 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + (-280)\/(-2))*(-5865)\/11730?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 1)*(3 - 3 + 1) + (1 - 6 + 3)*(1 - 3 + 1) + 0 - 2 + 4)*(-2*a**2 - 14*a**2 + 4*a**2).\nAnswer: -72*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 5:46 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 1396*c + 2. Let x be d(-1). Calculate the common denominator of -19\/40 and x\/(-440) - 12\/(-66).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 784, 1574, 2372, 3178?\nAnswer: 3992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 6*r**2 + 18*r - 10. Suppose -2*m + 12 = -3*m. Let f be 28*(m\/32)\/(6\/(-4)). Let h be o(f). Which is smaller: h or 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 26*l - 8. Let r be 18\/(-27) - (-2)\/(-6). Let a be r\/3*(-54)\/2682. Is l bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -197.\nAnswer: -985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46879 and 1295.\nAnswer: 234395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**3 + 2*t**2 - t - 2. Let b be q(-1). Solve 0*x - b*x - 6 = -l, -4*l - 9 = -x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 232449*u*y**2 - 8*u*y - u - 22775*y wrt y.\nAnswer: 464898*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16089 + -75?\nAnswer: 16014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -132373 divided by -1721?\nAnswer: 132373\/1721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 18*w + 1. Give j(-8).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-61*r**3 + 1 - 10436*r - 2*r**2 + 10436*r).\nAnswer: -61*r**3 - 2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 139*x**2 + 143*x**2 - 2 - 284*x**2. Let o be z(-1). What is the units digit of (-302)\/(-4) - 2\/o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 4*c**2 + 4*c - 3. Let g(p) = -p**3 - 2*p**2 + 4*p + 5. Let f be g(-2). Let z(n) = -n**3 - 3*n**2 + 3*n - 2. Give f*k(m) + 4*z(m).\nAnswer: -m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*(-19)\/((-152)\/12). Suppose 3*y = -15, 0 = -v - 3*v - 2*y + 278. Calculate the greatest common factor of a and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + 0.3. Let f = -73\/142 + 1\/71. Sort f, a, 6, 0.5 in descending order.\nAnswer: 6, 0.5, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29696 * -1\nAnswer: 29696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzzwq. What is prob of picking 1 q and 1 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4377 and 144?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1429631?\nAnswer: 7, 204233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a hour in minutes?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 3*o + 9, 2*o + 37 - 9 = 5*i. What is the highest common divisor of 96 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.193865 millilitres to litres.\nAnswer: 0.008193865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 6*h + 6. Let m be p(-5). Let t = 14 - 8. Suppose t = 2*r, -2*n + 3*r - m = -4*n. Solve g - s = -n, 5*s - 16 = s for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 174*q + 32*q - 4532 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z - 4*z + 0*z + 4*z + 3*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 v when three letters picked without replacement from zuvuvuv.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 911 + 23*b - 5*b - 457 - 454. Let h(f) = -3*f**2 + 3*f**2 + 2*f**2 + 3*f**2. Calculate h(n(c)).\nAnswer: 1620*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 656706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/39 in -4, 9.3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-8))**(-24) assuming z is positive.\nAnswer: z**168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 347.4454 litres?\nAnswer: 347445.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217863 = -2*f + 217799 for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/3 - 30136*p\/3 - 60280\/3.\nAnswer: 2*(p - 15070)*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 + 924*z + 35360.\nAnswer: (z + 40)*(z + 884)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.42643917 rounded to one decimal place?\nAnswer: 57.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 6. Let s(z) = -16*z - 238. Let i be s(-15). Calculate the highest common divisor of j and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = l, -8*s + 5*s + 2*l - 2 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 8*g + 107. Let d be j(-9). Suppose 0 = 4*y - 3*h - d, 4*y - 2*h - 20 = 10. Solve y = -k, -x = 4*k + 6 + 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 0, 13, 44, 99, 184, 305, 468?\n\"Answer: u**3 + 3*u**2 - 3*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 26 = 4*n - 2*v, v = -4*n + 27. Sort n, -2, 1.\nAnswer: -2, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - -20)*(-550)\/(-8). Let p = v + 3101. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 592520a15 - 3?\nAnswer: 592520a12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3461, -6911, -10357, -13799, -17237, -20671?\n\"Answer: 2*d**2 - 3456*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22706130 rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 594 and 18612?\nAnswer: 55836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/4172 - 102225\/45892. Calculate the common denominator of -15*(3 + -2)\/(-22) and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -15. Suppose 2 + 18 = i*b. Suppose 3*f = b*f - 38. Calculate the remainder when f is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*t**3 - 24344277*t**2 - 12346767606480*t - 21606768757056.\nAnswer: -3*(t + 1014344)**2*(4*t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v + 19 = 3*k + 8*v, 0 = -5*v - 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3494021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 976420821 to the power of 1\/2, to the nearest integer?\nAnswer: 31248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33? (a) -8 (b) -1\/447 (c) -14 (d) -0.3 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 175*n - 820. Let m(x) = 133*x - 819. Determine -4*m(d) + 3*u(d).\nAnswer: -7*d + 816","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 291 + -291. Suppose -82*k + 73*k + 29943 = r. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 15*d**2 - 30*d + 10. Let u be i(17). Let r be (-1)\/(-3) - (-5960)\/30. Let a = r - u. Calculate the highest common factor of 11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 + 43. Suppose -1607 + 166 = -f*u. What are the prime factors of u?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 - 14*l + 15. Let s be y(10). Let j be (146 - -2) + (-22 - -39). Calculate the greatest common divisor of j and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a7058 (base 13) in base 7?\nAnswer: 24224111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v + 6. Let n be a(8). Let k = 7 - n. What is the highest common factor of k and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((2*sqrt(288))**2 + sqrt(98)*2)*6.\nAnswer: 84*sqrt(2) + 6914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 381 + -173. What is the highest common factor of 351 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 2. Let f = -341 - -334. Let q(p) be the first derivative of -2*p**3\/3 + 7*p - 3. Calculate f*z(g) + 2*q(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/27)\/((-7)\/((-315)\/(-6)))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a second in milliseconds?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 2*b - 44, 71*o - 68*o - 5*b - 47 = 0. Solve o = 3*s - 3*u, -2*u - 1 = -4*s + 9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6696 divided by 4\nAnswer: -1674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 85 - 78. Suppose a*n + 2*n = -2*n. Factor n*i + 2\/7*i**2 - 2\/7.\nAnswer: 2*(i - 1)*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000111 (base 2) to base 12.\nAnswer: -5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 + 12 - -3) + 1 + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52850 - 52849.8. Let y(x) = -x**2 - 4*x. Let h be y(-4). Let k(i) = -i**2 + i + 1. Let s be k(h). Which is the closest to -2? (a) l (b) s (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27249 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (0 - -1) - 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*p - 1078 = 191 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26493 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**4. Let k(c) = 16*c**4 - 19*c. Let a(x) = -k(x) + 4*w(x). What is the second derivative of a(y) wrt y?\nAnswer: -144*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + o + 12. Let g be t(0). Suppose 5*b = g*b - 21. Solve b*f + f = 3*c - 17, 0 = -c + 2*f + 9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 250759680, 501519362, 752279044, 1003038726?\nAnswer: 1253798408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -98\/1229883?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -90*p - 1. Let w(l) = -270*l - 2. Let c(b) = -11*f(b) + 4*w(b). What is the tens digit of c(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a millimeter in micrometers?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -13940*o + 3 + 2701*o - 3 as h*o + i and give h.\nAnswer: -11239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -16 - 24. Let i(f) = 12*f**2 - 2. Let z(j) be the second derivative of j**4\/12 - 340*j. Let d be 3*(2\/6)\/1. Calculate d*i(m) + v*z(m).\nAnswer: 4*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 3:48 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -36452 - -65?\nAnswer: -36354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-170)\/(-17)*18\/60. Solve x*b + 13 = -5*w, 0*w = 4*w + 5*b for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1271032*w**4 + w**2 - 2*w + 33100?\nAnswer: -30504768*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*x**2 + 80*x**2 + 81*x**2 + 12*x**2 - 140*x**2 + 6*x**2.\nAnswer: 113*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -102 - -104. Suppose -2*l - z*a + 1156004 = 0, 2 = -6*a + 7*a. What is l rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a tonne in kilograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 225*v - 873. Let r(u) = -9*u + 35. Let k(c) = -4*l(c) - 99*r(c). What is the derivative of k(p) wrt p?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 + 4 + -2)\/(-950 + 948).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 39642 divided by 25\nAnswer: 39642\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89508955.\nAnswer: 5, 17901791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (16\/30)\/((-116)\/(-145))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 - 4171?\nAnswer: -4181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(63)\/(-1*sqrt(9)) + (sqrt(28)\/(sqrt(4)*3))**2) + 0.\nAnswer: -3*sqrt(7) + 7\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 6:09 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g - 5. Let i = 44 - 38. Calculate t(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 9:53 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1274 and 518.\nAnswer: 47138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 2\/7*d**2 - 1\/42*d**4 - 2 + 7*d + 1\/21*d**3. Let x(u) = 0. Calculate u.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -o + 2 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z - 245850 = -57*z - 115*z. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16 + 416\/(-16) + 330.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 10*y - 18. Calculate r(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -41.2?\nAnswer: 40.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 0*i - 1 + 0*i**2 + 2\/3*i**3. Let f(y) = -2*y**2. Give s(f(a)).\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -24. Suppose -3*b + 99 = -24. Suppose h + 2*v = -3*h + 74, -2*h - 5*v = -b. Calculate the lowest common multiple of h and o.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5*q**2 + 8*q - 8. Let t be h(6). Let c = 7284 + -4424. List the prime factors of 3\/(-7) - c\/t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7471.185 millilitres?\nAnswer: 7.471185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5161437296 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15673.52395 less than 101?\nAnswer: -15572.52395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26868785 a multiple of 229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*m**5 - 729*m**4 - 3603*m**3 + 27825*m**2 + 202725*m + 304500 = 0. Calculate m.\nAnswer: -116, -5, -5\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 122, 28, -13, 5, -4.\nAnswer: -13, -4, -3, 5, 28, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3130*l - 16793. Give v(-5).\nAnswer: -1143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + b + 1 + 0 + b + 0 + 0*b - 2*b + 3*b + (1 - 2 - 1)*(-b + 0 + 0) - 1 + 1 + b - 1 + 5 + 39*b - 35*b as g*b + t and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*p**5 + 23*p**4 + 5*p**2 - 26*p + 71.\nAnswer: 720*p**3 + 276*p**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = 2*p. Suppose 6 = 2*x + p. Suppose x*o + 24 = -2*o. Let r(c) = -c**3 - 6*c**2 - 4. Determine r(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -22, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14552 divided by 3638?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (703*(-33)\/2849)\/((-6)\/70).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(1 + 1) - -4. Suppose -v*t - 3*b + 38 = -4*b, 2*b + 52 = 4*t. Suppose 2*l = l + t. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1783.\nAnswer: 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 13*w**3 + w**2 + 2. Let u be x(-2). Let h = u + -101. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, w: 3, o: 10, i: 1}. What is prob of picking 2 v?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/7 + 21260*q**2\/7 - 60978200*q\/7 + 23317290000\/7.\nAnswer: -2*(q - 5090)**2*(q - 450)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 377 - -104. Suppose m - 3*x - a = 0, -4*m + 0*m + 2*x = -1874. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -2*r + 6*r. Let b(d) = 2*d. Let y be b(2). Suppose 0 = -2*n + y*v + 46, -2*n + 43 = -v - 0*v. Calculate the remainder when n is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**4 - 1674*q**3 - 130714*q**2 + 829698*q - 1267308 = 0. What is q?\nAnswer: -749, -94, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-6))**(6\/7))**(-24) assuming j is positive.\nAnswer: j**(864\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -71423, -142870, -214343, -285854, -357415?\n\"Answer: -2*a**3 - a**2 - 71430*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 126162966 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19931491, 39862984, 59794477?\n\"Answer: 19931493*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 2:27 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 13, 695, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 712 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.84 in 1, -2481, -2\/7, -0.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2816503 is divided by 45427?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/4 - 175409\/(-47586)) + (-654)\/(-66) + -10.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 1562736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a - -6?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 509923 is divided by 15935.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -1. Suppose 0 = -3*j + 3*u - 6 + 21, 4 = -2*u. Let f(w) = 21 - j*w**x - w**3 + 2*w - 6 - 11. Calculate f(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 942.3 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 6525*q - 282353. Give x(-43).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 3\/2, -0.4, 31.9, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2 + 8*q + 143 - q**2 - 3*q**2 - 148. Determine u(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 3932557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 5, -9 in increasing order.\nAnswer: -9, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**3 + 17*z**2 + 354*z + 2157. Determine u(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2935*i**5 - 4983*i**3 + 215*i + 53920 wrt i.\nAnswer: -58700*i**3 - 29898*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -20385, -41664, -62943, -84222?\n\"Answer: -21279*u + 894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -36470, -36468, -36466, -36464, -36462?\n\"Answer: 2*v - 36472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22389*k**2 + 2*k*n - 2*k + 7568*n - 6 wrt k.\nAnswer: 44778*k + 2*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.23*-25802\nAnswer: 5934.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12647868 to the power of 1\/2, to the nearest integer?\nAnswer: 3556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (-2 - -1*3). Let f be s - (-1)\/((-3)\/63). Let i = -9 - f. Calculate the lowest common multiple of 18 and i.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/3*-4*3. Let d = -8.3 + 10.3. Let m be (-2)\/(-10) - 46\/30. What is the second biggest value in d, n, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -463856694 divided by 327?\nAnswer: -1418522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1057\/13 - 3158\/39. Put -171, -0.04, 3, t in ascending order.\nAnswer: -171, -0.04, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/((-3 - 45\/(-12))*2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -198777078 or -198777077?\nAnswer: -198777078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1843936 to the power of 1\/2, to the nearest integer?\nAnswer: 1358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31813683?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -77655*z**4 - 36516?\nAnswer: -310620*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4, 4*w + h = -3*h + 44. Let a(c) = -c + 181. Let t be a(0). Suppose w*z = 1177 + t. What is z rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = 2*v - 3*b + 3, -v + 3*b = -51. List the prime factors of v.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5252906?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/9 and (2\/1)\/(-2)*(-4662)\/(-7938)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -196275\/4 + 1356517\/28. Let j = 69281\/56 - h. Let r = 1867 - j. Calculate the common denominator of 59\/9 and r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-1))\/(1372\/147).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 236?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m = 21*m + 99. Let q = m - -42. Factor 42*x**2 + q*x**4 - 16*x**3 - 11*x**3 - x**5 - 15*x**2.\nAnswer: -x**2*(x - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 47011 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14901477*d**3 - 22907179*d**2 wrt d?\nAnswer: -89408862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.90934 millilitres in litres?\nAnswer: 0.00690934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12237 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: Which is the nearest to 0.2? (a) -42 (b) 1\/3 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 17*t**2 + 87*t - 38. Calculate the lowest common multiple of 708 and a(-11).\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 3*x - 3. Let f be w(3). Suppose -3*k + f = 2*k. Put k, 2, -3 in increasing order.\nAnswer: -3, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1792 is divided by 90?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2315 + 2?\nAnswer: 2317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = -j + 2*j. Suppose 219*i - 3744 = -678. What is the greatest common divisor of j and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248949802.\nAnswer: 2, 17, 430709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-784)\/(-18))\/((-67360)\/(-75780)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 6*g + g**2 - 9 - g. Let i be -1*(60\/9)\/(-4)*(-3132)\/870. Calculate z(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) -22 (c) -60 (d) -5\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eighteen fifths of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72*b**4 + 167*b**4 - 186*b**4 + (-69 + 39*b + 69)*(2 - 2 + 2)*(-5 + 5 - b**3) to the form j*b**4 + x*b**3 + t*b + z + k*b**2 and give j.\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 3215 = t + 10*g, 2*g - 9641 = -3*t. What is the highest common divisor of 27 and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -11 + 9 - (3 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (105\/52 - 2)\/(19\/(-2)). Let c = u + -3453\/2470. Is -3\/5 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254629?\nAnswer: 89, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 22*u - 92. Let p be f(26). Let y be (-100)\/(-40)*p\/(-45). What is the closest to y in 2, -0.3, -1.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-1))\/(n\/(n\/(n**1\/n))))\/((n\/(n*n*n**(1\/7))*n)\/((n**(-7)\/n)\/n*n)))**(1\/57) assuming n is positive.\nAnswer: n**(-55\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.85 - -0.15. Let n = 53\/6 - 277\/30. Let j = -28 + 30. What is the second smallest value in z, n, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y - 6025 + 1972 - 5968.\nAnswer: -y - 10021","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5499 divided by 47.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -25, -109, -279, -565?\nAnswer: -997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/11 + 20*m\/11 + 42\/11.\nAnswer: 2*(m + 3)*(m + 7)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y + 15*y + 2*h = -2, -18*y + 5*h - 49 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/6)\/((-8554)\/11844)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7303, 3, -23 in decreasing order.\nAnswer: 3, -2\/7303, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*u = 2*u + 16, -u + 5 = 0. Let v be -9 + 14 - (-30 + 1 + -2). Let b = g + v. Which is bigger: -30 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -129\/455 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144 and 5?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/1715605 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*t = -6*t + 29*t - 350 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 105 = -0*s - 2*s, -99 = -2*s - o. Suppose -8*p - 11 = -s. Which is the third biggest value? (a) -6\/13 (b) p (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 - 17 + 36)*(-4*v**3 + 0*v**3 + 0*v**3).\nAnswer: -188*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/7 (b) 0.15 (c) -0.36 (d) 16.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5043165 (base 8) in base 3?\nAnswer: 2111111201020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 14*g**2 + 2*g - 10. Let p(l) = 4*l - 26. Let a be p(10). Is 10 a factor of x(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1164 divided by -19?\nAnswer: 1164\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/1)\/(4\/112*-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(4 + -5) + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-335)\/(-536))\/(((-165)\/(-6))\/11)*2\/(-2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.6 and -477230554114.\nAnswer: -477230554115.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -132, -129, -124, -117, -108, -97, -84?\n\"Answer: w**2 - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-5))\/(1*(-12)\/30).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - -0.45. Let y = 0.3499908 - h. Round y to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 399 (base 13) to base 8.\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -10\/21*n**7 + 17\/6*n**4 - 19\/15*n**6 + 2*n**2 + 3*n + 0 - 1\/10*n**5 + 11\/3*n**3. Solve t(l) = 0 for l.\nAnswer: -1, -1\/2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 5:59 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i - 269 + 313 = 2*v, -4*v = 32 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**3\/3 - 13618*z**2\/3 - 341101*z\/3 + 354718\/3 = 0.\nAnswer: -26, 1, 13643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/6 (b) 6\/7 (c) 0.1 (d) 1409 (e) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 145 - 144. What is the third biggest value in 0.2, 2, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -785 + 787. Let a(p) be the first derivative of -7 - 3*p + 0*p**3 + 7\/4*p**4 + 0*p**o. What is the derivative of a(g) wrt g?\nAnswer: 21*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1708402039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (-18)\/(-12) + (-2)\/(-4). Sort 3, s, 1, 6.\nAnswer: 1, s, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3659755 is divided by 624?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 240, 171, 102, 33?\n\"Answer: -69*k + 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -205.1274 to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (6 + 8) - (0 - -23 - (-31 + 26)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8670\/11 - 788. Sort 57, w, 0 in decreasing order.\nAnswer: 57, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*f - 23*f - 6*f**2 - 32*f + 17*f**2 wrt f.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/10)*b**18*b*b)**(1\/32) assuming b is positive.\nAnswer: b**(199\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*c + 196 = 0, -40*i + 52 = -39*i - 2*c. Calculate the highest common factor of i and 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.5 - -0.5. Let i = -3 + q. Is i at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 15*u**2 + 7*u - 43. Let x(r) = -r**3 + 16*r**2 - 8*r + 41. Let a(i) = -6*m(i) - 7*x(i). What is the hundreds digit of a(22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 68*v**2 - 281*v - 1427. Calculate r(-6).\nAnswer: 2707","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2341 + p + 2341 - 602*p**2 in the form m + z*p**2 + f*p and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -88437 and -127568916?\nAnswer: 127480479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5464 + -2936. What are the prime factors of h?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 10*v + 18. Let o be t(9). Suppose -25*w + o*w = 0. Solve s + 1 = w, 5*s + 9 = u + 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 - -116. Suppose 2*a = -4*y + 256, -2*a - y + 96 = -z. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 109923*s**3 - 37*s**2 - 151*s?\nAnswer: 659538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.005 - -2.005. Sort 4, q, 0.2, -0.4.\nAnswer: -0.4, 0.2, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 694, -3185, -16158, -42773, -87578, -155121, -249950?\n\"Answer: -758*f**3 + f**2 + 1424*f + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of r**3\/3 + 11*r**2\/2 + 14*r + 8. Let l be z(-10). Solve -2 = -i, 0*i - l*i + 33 = 5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 168 + 670. What are the prime factors of p?\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19858*u**2 + 454*u**3 + 19858*u**2.\nAnswer: 454*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/21, -3\/2, -0.01, 0.05.\nAnswer: -4, -3\/2, -1\/21, -0.01, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.810041 + 4.81. Round n to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44121*j = -44240*j + 2023 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, v: 1}. What is prob of picking 1 r and 1 v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + s - 3*s)*(-5*s + 0*s - 2*s) - 2*s**2 + 35*s - 1 - 35*s.\nAnswer: 5*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -8\/31 (b) -46 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -175392\/19 < -0.019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*(sqrt(320)*1)\/sqrt(4) - (sqrt(40) + sqrt(40) + sqrt(80)\/(sqrt(2) + sqrt(8)\/sqrt(4)))\/(3*sqrt(32))).\nAnswer: -53*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r**3 + 3*r**3 - r**3)*(2 - 2 - 2) + 0*r**3 + r**3 + 0*r**3 - 3*r**3 + 4*r**3 + 4*r**3 in the form a*r**2 + y + j*r + m*r**3 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-104 + r**3 + 104)*(24*r**2 + 5 - 40*r**2 - 4).\nAnswer: -16*r**5 + r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4*p - 3581, 5*g + 7*p - 4*p = 5949. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -6*b**6 + 1248*b**5\/5 + 443*b**4 - 1592*b**3\/3 + 144*b**2 - 239. Let q(d) = 0. Calculate d.\nAnswer: -2, 0, 1\/3, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -7*h**3 - 3*h**2 + 2*h - 1. Determine g(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - 5*z + 5*z + 2)*(4 - 4 + 23*z).\nAnswer: -23*z**3 + 46*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 15 = -8*a. Let m be (a + (-5)\/(-2))*-1. Let y = -2 + 3. Is y <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 482892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 81 = -4*p - 29, -3*c + 13 = p. Let r = -57 + 109. Calculate the highest common divisor of r and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11, 7, 3, -1?\n\"Answer: -4*x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*s - 1501 = 56*s + 1199 for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 531\/708*4\/(-13)\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -15*v**3 - 95*v**2 + 75*v + 35 = 0.\nAnswer: -7, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 517?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + w**2 - w - 3. Suppose 42 = -i + 39. Calculate h(i).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oxoxxquxxxzozxozzq. Give prob of sequence uzzq.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 1. Suppose h*b - 10 = -3*b. Suppose -7*n - n + b*n = 0. Solve n = -2*s + 4*i - 12, -s - 2*s - 2*i - 2 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.01841 - 11.01841. Which is the second biggest value? (a) -0.2 (b) 7 (c) o (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4271 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 29363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 177*a*r**3 - 659*a*r**2 + 582*r**3 + 890*r**2 - r - 2 wrt r?\nAnswer: 1062*a + 3492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 174 - 176.02. Let h = -0.02 - j. Let k = 4.4 + -4. Which is the biggest value? (a) h (b) 1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 893660304*c**4*j**3 + 435*c**2*j**3 - 70407*c**2 wrt c.\nAnswer: 21447847296*c*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61*d**6 - 7236*d**5 + 47*d**2 - 4056*d - 2.\nAnswer: 7320*d**3 - 434160*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbtb?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 12*a - 639. Let p be x(53). What is the closest to 11 in -5, 1, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ussk when four letters picked without replacement from {s: 3, k: 1, u: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0926 take away 400.3?\nAnswer: -400.2074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 546 = 63*i + 2012 + 361 for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 2*g - g)*(4 + 0 - 2) + (2*g - 5*g + 0*g + (-2 - 1 - 1)*(-g - 1 + 1))*(-2 + 11 + 4).\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -7*m + 3. Let h(q) = -8*q + 3. Let d(i) = -4*c(i) + 3*h(i). Let j(f) = -10168 + 5085 - 11*f + 5091. Determine 17*d(k) + 6*j(k).\nAnswer: 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 86ca64 (base 13) to base 15\nAnswer: 429331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2, -10, -52, -136, -274?\n\"Answer: -2*f**3 - 3*f**2 + 11*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -524.75 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -12, -5, 84, 0 in decreasing order.\nAnswer: 84, 1, 0, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 40534.39mm in meters?\nAnswer: 40.53439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -233000 (base 5) to base 7.\nAnswer: -33532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -247454.99992 + 247440. Let j = -15 - m. Round j to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*m + 384*m - 2*m**2 - 194*m - 4*m**2 - 47.\nAnswer: -6*m**2 - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 - -0.7. Let o = 5 + 2. Let q = -7.3 + o. Which is the smallest value? (a) 5 (b) q (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 90 - 3 = 5*s, 4*s - 5*g + 87 = 0. Let t be 3\/(3 + s*3\/24). Solve 3*r - t = r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g - 4*g**2 + 5*g + (3 - 3 + 2*g)*(-g - 3*g + 2*g))*(-6 - 15*g**2 + 572115*g - 2*g**2 - 572111*g).\nAnswer: 136*g**4 - 32*g**3 + 48*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + -4*(3*-3*sqrt(153) - (sqrt(153) + (2*(sqrt(153) + 0) - sqrt(153)))))**2 + -3.\nAnswer: -1184871 + 3168*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + n**2)*(-4 - 4 + 6) + 0*n**2 + n**2 - 2*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291614133?\nAnswer: 3, 5449, 17839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 3 (c) -1\/5 (d) -5 (e) 0.07 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 divided by -1591217?\nAnswer: -58\/1591217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide (142 - 8\/4)*1404\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**2 - 203*z + 1518. What is the remainder when v(-107) is divided by 66?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 73070 and -0.05?\nAnswer: 73070.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*u + 171*u + 25308 = 127*u - 135*u for u.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/7518 and -37\/157878.\nAnswer: 157878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/6 + 7610*k\/3 + 15221\/6.\nAnswer: -(k - 15221)*(k + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14646 - 234253\/16. Calculate the common denominator of z and 91\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -5*o + 60, -33*h + 33 = 2*o - 36*h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90400.69cm to micrometers.\nAnswer: 904006900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -22530 divided by -30\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9093*c + 4949*c - 1883*c to the form t*c + x and give t.\nAnswer: 12159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2.23669 - 63756\nAnswer: -63753.76331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**3 + 11*p**2 + 20*p - 15. Let a be v(6). Calculate the greatest common divisor of 5175 and a.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11171524 and 12220.\nAnswer: 2444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -37 - 15. Factor -7*x + 36 - v*x**2 + x**3 - 5*x**2 + 15*x - 5 - 9*x.\nAnswer: (x - 31)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -9*m + 259. Solve 6 - m = -5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 297.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s + 4 - 4)*(-5366 - 9539 - 3571 + 1351 + 1183 + 947) as v*s + k and give v.\nAnswer: 29990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 10 = 30. Suppose 2*s + 4*a = 68, -2*a = -2*s - w + 42. Let t = s + -10. Calculate the greatest common divisor of t and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1476.007054 - -1476. Round a to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/(-3))\/((-5)\/((-75)\/10)). Solve 0 = -2*f + 7*f - y for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p**2. Let i be (15 - 12)\/(0 - -1). Let m(r) = -7*r + 0*r + i*r + r. Give m(f(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**2\/11 + 8178*b\/11 - 73764\/11 = 0. Calculate b.\nAnswer: -4098, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -74, -64, -50, -32, -10, 16?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 32*z**2 - 128*z - 133. Determine u(36).\nAnswer: 443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11012312322 - -1013?\nAnswer: 11012320001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = g, 2*f = 5*g + 16 - 3. Let i = 168.69 - -1.31. Let d = -175 + i. What is the nearest to f in -0.4, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3333*d + 11814*d + 2911*d)*(-3*d**2 + 7*d**2 - 2*d**2) as i*d**2 + v*d**3 + r + s*d and give v.\nAnswer: 22784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-15) - 19656\/(-390). Solve 0 = 9*j - 87 + z for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2*(-5)\/20*-14 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*g - 114*g + 2*a + 194815 = 0, g = a + 38960. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10434608.1 rounded to the nearest one hundred thousand?\nAnswer: -10400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 242222894 to the nearest integer?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*u - 93*u + 3286 = -12*u + 46*u for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/2*(-2)\/(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -91962*a**3 + a - 110591?\nAnswer: -275886*a**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/(m*m\/m**(-2\/3)))\/m)\/m*((m*m*m\/m**(-5)*m)\/m)\/m*m)**(-1\/52))**(-9\/7) assuming m is positive.\nAnswer: m**(3\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6958221186 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 193830 and 35.\nAnswer: 193830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01309790239 to four decimal places.\nAnswer: -0.0131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 less than 9866162?\nAnswer: 9866045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44\/35 - 7\/5. What is the third biggest value in 0.4, x, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 12:43 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1 - -21)\/(-10))\/(-11 - -9) + (-26)\/(-10)?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20.3 and -119688?\nAnswer: 2429666.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37bc61 (base 14) to base 10.\nAnswer: -1915005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78750774 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tkz when three letters picked without replacement from {k: 8, v: 2, t: 1, x: 5, z: 1, o: 3}?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -5*y**3 + 202*y**2 + 68*y + 2246. Calculate m(41).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*w**5 + 51*w**5 - 58*w**2 + 17*w**2 + 12*w**5 wrt w?\nAnswer: 2940*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**4\/3 - 59527*x**3\/3 + x**2 + 178579*x\/3 - 119054\/3 = 0. Calculate x.\nAnswer: -59527, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 7*o - h + 255, 0 = -2*o + 2*h - 110. Does 25 divide -3 + 6 - (o - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -880 divided by 176\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1763 (b) -0.4 (c) -0.5 (d) -1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -99.6 to 0 dps.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, r: 5}. Give prob of sequence rr.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37.273668 - 1491881.426332. Let g = -1491919.90000176 - y. Let b = g + 1.2. What is b rounded to seven dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 649922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33013320033 (base 4) to base 6.\nAnswer: -220545503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1623*s**3*w**2 + 77*s**3*w + 2*s**2 + 20159*s*w**3 - 2*s*w + 68*w - 28 wrt w?\nAnswer: -3246*s**3 + 120954*s*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -c**8\/120960 + c**7\/10080 - c**6\/2160 + 7*c**5\/60 + c**2. Let l(k) be the third derivative of j(k). Solve l(h) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 736684.\nAnswer: 2, 13, 31, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -227, -348, -467?\nAnswer: -584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 5*j**2 - j + 8. Let t be c(5). Put -4, 5, t, 11 in decreasing order.\nAnswer: 11, 5, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172333 divided by 3083?\nAnswer: -172333\/3083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.153 + -62.153. Let i = b + 140. Let k = -69.8 + i. What is k rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 56 + 3*x - x - 67. Let g be h(7). Find the first derivative of 4 + 4 - g*q**4 - 3*q**4 wrt q.\nAnswer: -24*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/((-450)\/220)*(3\/2)\/(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 264, -4, 28, 9, 7 in increasing order.\nAnswer: -4, -1, 7, 9, 28, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5946.277 kilograms in tonnes?\nAnswer: 5.946277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 1710 = 6*i. Is i a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 303.4378 micrometers?\nAnswer: 0.3034378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 599440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, g: 2, j: 4, w: 2, d: 3}. What is prob of sequence wddg?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35809463 and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7204, 14473, 21734, 28981, 36208, 43409, 50578?\nAnswer: 57709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 10 = -q. Suppose -16*h + 120 = -q*h. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3372848.115 rounded to the nearest ten thousand?\nAnswer: -3370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjrjjjjjrjjjjjrjjjj. What is prob of picking 4 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**3\/q))**5 assuming q is positive.\nAnswer: q**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b**(14\/3)*b)*b**(-4\/13) assuming b is positive.\nAnswer: b**(-194\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 - 1 + 6)*(-1 - 2 + 5) - 2 + 1 + 2)*(3*n + n - 2*n + (-1 + 4 - 1)*(-5*n + 2*n + n) - 3*n - 2*n + 3*n + n + n + 0*n) in the form d + u*n and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + (29 - -6 - 76).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 177618.\nAnswer: 888090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d**3 + 1508*d**2 + 17984*d + 47872 = 0. Calculate d.\nAnswer: -1496, -8, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 818763*o**2 + 53165*o - 10.\nAnswer: 1637526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*l - 32*l + 1536. Let t(b) = -30 + b - b**2 - b**3 + l + 2*b**2. Give t(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160922 is divided by 22986?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70488 and 1177.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -15 - 17. Suppose -3*c - 8*i - 51 = -9*i, -85 = 5*c + 4*i. Which is smaller: v or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 9 - -5 - (-544)\/416.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)\/(sqrt(14)\/(sqrt(14)\/sqrt(2))) + 2 - (2*sqrt(4900))\/(sqrt(567) + (sqrt(567) - sqrt(567)*1) + sqrt(567)))*-2)**2.\nAnswer: -16*sqrt(7)\/9 + 1324\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 10:59 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.8 + 0.8. Let z = -7 - -7. Let j = 4 + z. Sort j, b, -0.2 in increasing order.\nAnswer: b, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 15 = 3*f, -2*u - 3*u - 18 = 3*f. Let z(w) = 1. Let h(p) = -3*p + 5. What is f*h(a) + 5*z(a)?\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m + 0*m + 11*m. Let l be n(2). Suppose 0 = -4*z + 21 - 5. Solve 0*r = -z*r + l for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2394 + 322 = -37*g. What is the remainder when g is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -32. Calculate the common denominator of (-577)\/(-154) + 4\/c and 39\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177836.\nAnswer: 2, 23, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-128) - (-9102)\/11840\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-198)\/(-8))\/(639\/(-284))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -196, -355, -502, -631, -736?\nAnswer: -811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + -3 + 15 + 0. Let l = s + -7. Suppose -5*z + 4*a = -7 - 1, -l*a + 4 = -2*z. Solve 4*j - 12 = -y + 5, z*y = j for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - 53. Let l be (y\/1 - -2) + (-2 - 1). Suppose 4*s - 5 - 1 = -2*q, 0 = 2*s + 3*q + 3. Put -1, l, s, 1 in increasing order.\nAnswer: -1, l, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-48)\/(-60) - (-22)\/10. Solve -i - 4*y = -10 - 7, -w*i = y - 18 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 617 - 175847\/285. Is t smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31272 - -31309) + (20 - (-1 + 0)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = g + 9. Calculate the remainder when 34 is divided by (3 - -13)*g\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-2)*7\/(-21)*0. Let u = 10.1 - 5.3. Let h = 1.2 + u. What is the smallest value in q, -0.5, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a - 3*a + 2*a + (-a + a + 2*a)*(-2 + 1 + 2) + 17 + 7*a - 10 - 3 as u*a + r and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 81986 (base 15) in base 3?\nAnswer: 202212010200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - -10)*(-38955957)\/(-40). Let n = z + -5841861. Let m = -1532 + n. What is the common denominator of m and -47\/14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13825, 82, 1 in ascending order.\nAnswer: 1, 82, 13825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/466870 and -55\/15593458.\nAnswer: 77967290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*b - 78 = 70. Let v be ((-3)\/6)\/((-2)\/8). Solve -3*r + v*r = b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -679?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mqvvvmqvt. What is prob of sequence qmq?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15751690, 15751689, 15751688, 15751687, 15751686?\n\"Answer: -p + 15751691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70188422 to the nearest integer?\nAnswer: 8378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - 3*z**2 + 0*z**2)*(-119*z - 131*z - 91*z - 204*z).\nAnswer: 1090*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - -3 - (-585117)\/(-520). Let w = -5658\/5 - j. Calculate the common denominator of w and 101\/(-10)*(-3)\/(-3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by -1.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11130332113 + 2?\nAnswer: -11130332111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dg when two letters picked without replacement from ghhdhhdhhhdahaargh.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**2 + 4*v - 2. Give u(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -91257775761926 less than 10?\nAnswer: 91257775761936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-696)\/232*1\/3*(-93)\/((-9)\/3).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(8\/3)\/(x*x*x**1*x))**(-36) assuming x is positive.\nAnswer: x**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-12 + (16 - 29) + 86 - (1 + 1)) + -7\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence of when two letters picked without replacement from {j: 2, o: 2, x: 4, f: 2}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from {b: 1, j: 12, t: 1}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j**3\/3 + 4*j**2 - 4*j + 99. Let g(l) = 4*l - 1. Let h be g(2). Let t be o(h). Solve -2 = t*f - f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of 51*y**6\/10 - y**5\/20 - 227*y**2 - 66*y. What is the first derivative of z(i) wrt i?\nAnswer: 612*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 2*v**2 + v + 1. Let m be g(-5). Let l = m - 17. Suppose a - 5*d - 18 = 0, 2*a - d - l = -0*a. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z + 6. Let d(k) = -4*k - 31. Let r(h) = -3*h - 21. Let b(u) = 5*d(u) - 8*r(u). Calculate 3*b(w) - 7*s(w).\nAnswer: -2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -20a?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31335671?\nAnswer: 151, 207521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*d - 130*d - 62992 = 0. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/5 + 7769*k**2\/5 - 12419*k + 54327\/5.\nAnswer: -(k - 7761)*(k - 7)*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 918931 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16518*p - 885*p - 27606*p - 105636*p.\nAnswer: -117609*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17.04 - -19. Let p = -0.04 - f. Let z = -323 - -340. Is p smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24276 - -24432. Is a a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (72\/(-60))\/((-2)\/70). Let q = 15 - 3. Let o = j - q. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 2*j - 3. Let w(q) = -2*q**2 - 5*q - 7. Calculate -5*k(v) + 2*w(v).\nAnswer: v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**3\/17 - 7230*g**2\/17 + 1003744*g\/17 - 14217216\/17 = 0. Calculate g.\nAnswer: 16, 128, 3471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*c - 45*c + 14 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3594899?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 109373552?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 11:35 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 495227 to the power of 1\/2, to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**3\/5 - 1539*d**2\/5 + 39933*d - 117045 = 0.\nAnswer: 3, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 53220 - 3\nAnswer: 53217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 635399 is divided by 1419.\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/g**(1\/5)))\/g**5*(g**2*g)**(-5\/7))**16)**4 assuming g is positive.\nAnswer: g**(-15552\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 5*n - 9 - 26, 2*j - 25 = 5*n. Let k = -75 - -76. Sort -4, j, k in ascending order.\nAnswer: -4, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 279 and -1?\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.8 - 2. Which is the fourth smallest value? (a) 0 (b) g (c) 0.3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4 + ((sqrt(147) + 0)*-3*-1)**2.\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 8*b - 199. Let g(s) = 2*s - 4. Let c(m) = 3*g(m) + p(m). Let q be c(16). Solve 0 = 4*y - 1 + q for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47896 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (1 + -6)) + 32 + (-41 - -47).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -29 + 53 + 17 - (-1 - (-2 - -2))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 - 9*k + 6. Suppose -n = 3*n - 16. Let r be w(n). Solve -s = -3*s + 4, r*h - 2*s = -8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -5*u**3\/3 + 2273*u. Let r(v) = -9*v + 27. Calculate n(r(o)).\nAnswer: 90*o - 270","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 955?\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -1. Let a(r) = 2*r + 5. Let s(n) = -a(n) - 5*d(n). Let c(h) = 126*h**2 - 2. Calculate s(c(q)).\nAnswer: -252*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**2\/5 - 133521*l\/5 - 133506 = 0.\nAnswer: -44502, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -0.2, 23, -2\/11, 1, 13.\nAnswer: -0.2, -2\/11, 1, 8, 13, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 6 + 2 = 0. Sort a, 10, -7, -5 in increasing order.\nAnswer: -7, -5, a, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h**4 + 2*h**4 - 5*h**4)*(623 + 240 + 250) to y*h**2 + z*h + o*h**4 + n + p*h**3 and give o.\nAnswer: -1113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 220, 2, 4, 0, -7.\nAnswer: -7, 0, 2, 4, 17, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 5. Suppose -4*s + z*i = -20, -17 = -3*s - i + 2*i. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 6:27 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkkg when four letters picked without replacement from kkpgkgkpg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 4:29 PM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*t - 2*f = -26788, 2*t - 17872 = -4*f. Let p = 71503\/8 - t. Let g(s) = -s**3 + 2*s**2 + 16*s. What is the common denominator of p and g(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 5*q + 9 + 3*q**2)*(-4*q**3 - 4 + 4).\nAnswer: -12*q**5 - 20*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(16\/(-14) + (-26555)\/(-13160))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455437561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122221210110 (base 3) in base 9?\nAnswer: 1587713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/148, 0.1, 2.\nAnswer: -1\/148, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (793\/(-3965))\/(1\/1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4155.103mg in micrograms?\nAnswer: 4155103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.92433 micrometers in kilometers?\nAnswer: 0.00000001092433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = w - 17, 3*o - 2*w - 14 = -3*w. Suppose -q + o*q + 12 = 0. Let d(p) = -p**3 - 5*p**2 + 6*p - 5. What is d(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002545097 rounded to seven dps?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b**4 - b**3 - 7*b**2 + 0*b**4 - 2*b**4 + 5*b**2 - b as x*b**3 + m*b**4 + o + j*b + y*b**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/9)\/(1\/(-6)). Let i(o) = 2*o - o**n - 4*o**3 + 1 + o**2. What is the units digit of i(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1522423, 1522418, 1522409, 1522396, 1522379?\n\"Answer: -2*n**2 + n + 1522424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) 0.5 (c) -1154357\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4 + 8)*-1)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/(-56)*(-30)\/(-10)*(-644)\/690?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -24489, -60880, -97271, -133662, -170053?\n\"Answer: -36391*j + 11902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/26 - 25\/26. Which is the second smallest value? (a) 5 (b) v (c) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -505 - -504.5. What is the second smallest value in d, -2\/5, 12?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**5*d*d)\/(d**(3\/7)\/d)*(d**4*d)\/d**2)\/((d*d**(1\/4))**(-25)\/(d\/(d\/(d**1*d))*d)**(-2)) assuming d is positive.\nAnswer: d**(1031\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 110\/19 or 7?\nAnswer: 110\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*m - m - 3*m + (5 - 4 - 3)*(-4 + 4 + m) - 3*m + m + 0*m + 3*m + 2*m + m + 12*m + m - 2*m.\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-3) - 35\/(-21). Let q(m) be the third derivative of 1\/6*m**3 + 0*m - m**h + 0 + 1\/60*m**5 - 1\/12*m**4. Suppose q(l) = 0. Calculate l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 532?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1542 - -1532. Put -2, k, 3, 4 in increasing order.\nAnswer: k, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(4)\/sqrt(2) + sqrt(2))*6.\nAnswer: 12*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 5:57 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 20600165 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8092 - -8091. Let s = -0.17 - 30.83. Which is greater: d or s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67190736 and 873.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -o + 2*o - 179, 3*x - 2*o = 164. Let u = 20 + -34. Let j = u + x. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*k**2 + 765 - 943 + 9*k**2 in the form b*k + j*k**2 + i and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 59 - 16 = 0. Which is the third biggest value? (a) o (b) -1\/5 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -392*d = -389*d - 189. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + -a190?\nAnswer: -a186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m - 2. Let s be c(4). Suppose 2*y**2 - s*y**2 + 4*y**3 - 2*y + 0*y**3 - 2*y**5 = 0. Calculate y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 169, 261, 355?\nAnswer: 451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11)\/(-33)*(1 - -5). Calculate the remainder when 92 is divided by -7 + 9 + (32 - s).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -888148 divided by 68?\nAnswer: -13061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 104430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -119288, -238604, -357910, -477200, -596468?\n\"Answer: r**3 - r**2 - 119320*r + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2199554?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1640645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1657 + 1651. Put -70, 0, c in decreasing order.\nAnswer: 0, c, -70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*k - 59, -4*k + 3*q = -q - 108. Let w = k + 47. Calculate the greatest common factor of 30 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 2:01 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**17*d*d\/d**(-21\/5)*d assuming d is positive.\nAnswer: d**(126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1257 = u - 4*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = 482*d - 461*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*q. Let l = 6 + q. Suppose 2*a - 20 = -3*a. Solve a*f = l*f - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 593093.\nAnswer: 47, 12619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(2420) - (sqrt(2420) + sqrt(2420) + sqrt(2420) + (2*sqrt(2420) - sqrt(2420)) + sqrt(2420)))*4)\/(sqrt(324)*1 - sqrt(16)*-2).\nAnswer: -1056*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99 and 171?\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4309988 from -0.3.\nAnswer: 4309987.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 - 6839390*h - 47875828.\nAnswer: 2*(h - 3419702)*(h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -138, -149, -160?\n\"Answer: -11*x - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3820 + 0.06359.\nAnswer: 3820.06359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/25)\/(21\/(-6405)) + (-4)\/5. Solve -65*w + g*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 29*x**2 + 4*x + 2. Let h(t) = 28*t**2 + 3*t + 1. Let j(r) = -3*a(r) + 4*h(r). Let g(l) = -24 - 3 + 27 + l. Calculate j(g(c)).\nAnswer: 25*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/2*(-20)\/(-15). Suppose 13 = l*g - 1. Suppose -g*j + 12*j = 435. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17179536 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 230\/(-70) - (-4 - (-6520)\/1505)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8636 - 27?\nAnswer: -8660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*v - 29*v - 10*v + 3*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39502 is divided by 9870?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -133203 != -133322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 27*z**2 - 498*z + 12225. Determine k(26).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 804229?\nAnswer: 43, 59, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1158 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 6, 4*n - 14 = -24*t + 22*t. Let w(f) = f**2 - 12*f - 13. What is w(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 5*u**2 + 6*u - 2. Suppose 262*d + 327 = -86*d - 1761. What is a(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**2 - 41788560*s = 0. Calculate s.\nAnswer: 0, 20894280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 1085 and 1127 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002183393 rounded to 7 dps?\nAnswer: 0.0000218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 41966 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8.9 + 21\nAnswer: 12.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-810)\/4 + 36\/24. Is 8 a factor of 15\/(-20) + z\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3762*x*y**5 + 14*x*y**2 + 117*x + 35*y**5 + 17*y wrt y?\nAnswer: 225720*x*y**2 + 2100*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1944*z - 4063*z - 3514*z - 406*z as n + c*z and give c.\nAnswer: -6039","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1101, -1102, -1105, -1110, -1117, -1126?\nAnswer: -1137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16682292, 33364582, 50046872, 66729162?\nAnswer: 83411452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -314 in decreasing order.\nAnswer: 1, -4, -314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/450 + 241\/450. Are u and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 23.1. Let l = -1.83 + b. Let w = 0.056 - l. Round w to three dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -2, 537, -42 in decreasing order.\nAnswer: 537, -2, -11, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3124*k + 3172*k = -144 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -8032*k. Let j(q) be the first derivative of -2*q**3\/3 + 3899. Determine j(b(d)).\nAnswer: -129026048*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k + 0 = 5*i + 6, -2*k = -0*i + 3*i - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1480 or -1052?\nAnswer: -1480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4895 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/(-2) + (-1)\/(-2). Let y(r) = -5*r**2 - 3*r - 2. Suppose j - 8 + 9 = 0. Let h be y(j). Does b = h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12280 is divided by 135?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10 - 5*n + 14 - 19 - 5*n**2 + 5*n**3.\nAnswer: 5*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 24 = 2*c. Suppose -22 + c = -4*i. Solve 4*t = -0 - i for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ls when two letters picked without replacement from qqslqooolloo?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 638109 and 14251101.\nAnswer: 42753303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2394 or 36139?\nAnswer: 36139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) - (sqrt(6) + -3*sqrt(6)))*-3 + (sqrt(6) + sqrt(6)*1)*5)\/((sqrt(350) + sqrt(350) + 6*(sqrt(350)*-2 - sqrt(350)) + sqrt(350))\/sqrt(7)).\nAnswer: -sqrt(3)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3543)\/(-21) + 2\/7. Let u = -521 + 2074\/3. Let a = u - l. Find the common denominator of a and 9\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 664 + -122?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.212 + 0.312. Which is the smallest value? (a) 2\/21 (b) s (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 450 = 5*p - 5*o, 10*p - 14*p = -o - 369. Suppose 0 = -3*m + m + 62. Calculate the highest common factor of p and m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence stts when four letters picked without replacement from {t: 4, m: 2, s: 3, i: 9}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 193*a + 193*a + a**3 to q*a**2 + x*a + u + c*a**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 31564?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -267668, -267653, -267638, -267623, -267608, -267593?\nAnswer: -267578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51\/((-67)\/((-1273)\/(-228))).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337381 is divided by 2249?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 119*r**2 - 3 - 142*r**2 + 3 + r + 92*r to the form l*r + o*r**2 + c and give o.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 5*m**4\/12 - m**3\/3 - m**2\/2 + 109*m. Let p be 2 - 0\/((-2)\/2). Let b(y) = -4*y**2 + 2*y. Give p*a(c) + 3*b(c).\nAnswer: -2*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*t - 890, 4*t = 5*k - 909 - 569. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 1027.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6741315 and 19845.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72693 is divided by 24227?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bl when two letters picked without replacement from kkbbabbl.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 38551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(3\/(-21)) - -8026 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 53.\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1 - 415.\nAnswer: -416.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.8 + 3.8. Sort x, 1, 5 in decreasing order.\nAnswer: 5, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.01, -1, 0.4 in ascending order.\nAnswer: -1, 0.4, 1.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v + 2*v - 4*s, 5*s = 5*v. Let k be (-15)\/18 - 5364\/(-4104). Is k less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -6*n**3 - 5*n**2 - 5*n - 2. Let p(i) = -i**3 - i**2 - i - 1. Suppose -39*m = 407 - 1499. Suppose 25*o - m*o + 15 = 0. Determine o*p(c) - y(c).\nAnswer: c**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -2 - (-29 + 19 + -14)) + (-7 - 1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + w + 11. Let q be j(0). Let r = -8 + q. Suppose 4*p = -g + 31, -r*p + 22 = -0*p + 2*g. Calculate the highest common divisor of 8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1351 is divided by 441.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1681?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - 0. Suppose -o + 4*j - 8*j + 21 = 0, -4*o + 3*j = 11. Let s be (o\/(-2))\/(18\/9). Which is greater: s or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -3*k - 2*x + 219, 0 = 2*k - 3*x - 137. Let q be -6 + 2 + k\/10. Which is bigger: 2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -40837675\/6 at most -6806280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 9*s**3 + 2*s**2 - 2*s - 2. Let t(u) = -91*u**3 - 21*u**2 + 21*u + 21. Calculate 2*t(n) + 21*v(n).\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 - 11 + 5)*(-1 + 2 + 0)*(-424 - 6*s**2 + 848 - 397) as c + b*s + f*s**2 and give f.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 8 + 1077*c + 1068*c + 1076*c - 3219*c.\nAnswer: 2*c + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*l + 15350 - 5630 = 7047 for l.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -67253 + -11?\nAnswer: -67264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 424 a factor of 268333064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01552325018 rounded to 6 dps?\nAnswer: 0.015523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 81\/181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1631 - 66.8369. Which is the closest to 1\/2? (a) -2\/3 (b) h (c) 0.3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, q: 1, v: 4, k: 7}. Give prob of picking 1 k and 1 q.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -393, -2 in increasing order.\nAnswer: -393, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0399551 rounded to 4 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 0 - (-4 + 3). List the prime factors of 282\/18*g*2.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*k + 2*m + 51, 4*k - 40 = -2*m. Solve -k*n - 15 = -16*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -117 - -177. Is 20 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*p + p - 3*a, 0 = 2*p - 5*a - 4. Suppose p*m = x + m - 611, -2*m = 10. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-8 - (-29)\/2). Which is the third biggest value? (a) n (b) 5 (c) 0.2 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.514 + 0.086. What is the nearest to 0 in v, 2\/5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (45\/(-39) - 8\/(-52)) + -12. Let v = -9 - i. Suppose -2*p - v = t - 0*p, 2*t + 2*p = 0. Solve m + 21 = -t*r - 0*m, -r - 3*m - 19 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/4 - 1112493*k\/2 + 412546891683\/4.\nAnswer: 3*(k - 370831)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/5, -0.4, -0.06, -40\/9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 l when four letters picked without replacement from {u: 4, l: 8, c: 1}.\nAnswer: 224\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2601\/2 - 1834. Let u = q + 544. Find the common denominator of u and -49\/62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -40bb5 - -83?\nAnswer: -40b32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bk when two letters picked without replacement from bbbbbbbk.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h**3*q - 1053948*h**3 + 39*h**2*q + 2627*h*q - 48*h wrt h.\nAnswer: 18*q - 6323688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31\/(9300\/40))\/(1\/(-10)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -5 (b) -0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(84) + (sqrt(84) - (-2*sqrt(84) + sqrt(84))))*-2*-4)\/((-1*sqrt(132)*-4)\/(sqrt(1100)*-1)).\nAnswer: 300*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4511881, 4511857, 4511843, 4511845, 4511869, 4511921?\n\"Answer: p**3 - p**2 - 28*p + 4511909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + -1.2. Let q = -7.1449 + 4.1449. Which is the biggest value? (a) q (b) x (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**4\/5 - 6237*z**3\/5 - 31236*z**2\/5 - 50004*z\/5 - 25008\/5 = 0. What is z?\nAnswer: -2, -1, 2084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9a9 + -324?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.3553 - 950.98486434\nAnswer: -951.34016434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - (-67)\/3)\/((-1)\/(-90)). Round w to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 o when two letters picked without replacement from {o: 1, n: 2, x: 1, k: 4, m: 2}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 - 118556383541 + 118556383541.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 16*q**2 - 8*q + 44. Determine b(-16).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 13*x**2 - 41*x + 61. Let a be i(4). Solve -40*w + 39 = -a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gx when two letters picked without replacement from gsusssgxrxxgsnsg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -153279.68 + 11457943?\nAnswer: 11304663.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - a**2 + 0 + (4 - 4 + 2*a)*(a + 2*a - 2*a) + 4*a**2 - 5*a**2 + 2*a**2 - 8*a - a**2 + 3*a + 9*a.\nAnswer: a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4775, -9550, -14325, -19100, -23875?\nAnswer: -28650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to -1.917?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - a = 3*l - 3, -4*a - 3*l + 18 = 0. Suppose -32 = -a*v + 7. Let w = -13 + v. Which is greater: 1\/2 or w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(78) + sqrt(78)*-1 + sqrt(78))*-6)\/sqrt(3))\/(-1*(sqrt(128)*2 + sqrt(128) + sqrt(128)) + sqrt(128)).\nAnswer: sqrt(13)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/873 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -846423 greater than -846417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 169536256264.\nAnswer: 169536256262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1903597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55305922.\nAnswer: 2, 7, 19, 31, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 9*f - f. Let v(i) = i - 7. What is the remainder when 22 is divided by v(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in -1775, 4\/9, 0?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.285 - -3.185. What is the fourth biggest value in n, 0.4, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 116485\/(-2050136)*4*-6?\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-146)\/4)\/(2\/(-28))?\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/10 - 74\/(-10). Suppose 11 + t = 3*d. Does 10 divide (-12)\/8*(-40)\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -554 (base 6) to base 5\nAnswer: -1324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-33)\/(-9) - (-6)\/(-9). Suppose -y = -5, y = p*w - 4*w + 14. Suppose -31 = w*r - 229. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 48*n**2 + 197*n + 144. Let h be o(-51). Does h = -2099?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -3*y**2 - 246*y - 711 = 0.\nAnswer: -79, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 96.15571186 - 0.15\nAnswer: 96.00571186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -12. Calculate the lowest common multiple of 8 and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 601*i - 8430. What is w(14)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2\/11 - 5858*q\/11 + 11724\/11 = 0. What is q?\nAnswer: -2931, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25033 times -0.1?\nAnswer: 0.025033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00013466091 to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57 - -27. Let p be ((-54)\/45)\/(2\/s). Let b(t) = -8*t**2 - 10*t + 8. Let m(d) = -d**2 - d + 1. Calculate p*m(c) - 2*b(c).\nAnswer: -2*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from qqxlqqaxaalqqxqxxqx?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - w + 1. Let a(c) = -6*c**2 - 3*c + 6. Suppose h = -3*o + 5, 5*h = 4*o - 2*o - 26. Let l be 3\/(-12) - (-4)\/(32\/10). What is h*i(y) + l*a(y)?\nAnswer: -2*y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -7 - (16 - 29) - 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*d - 10630 = -2*c - 70*d, 4*c - d - 21278 = 0. Calculate the greatest common factor of 135 and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i + 62 = 23. Let l be 3*(3 - 2) + -1. Let p = 1 - 3. Sort p, i, l in descending order.\nAnswer: i, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4202212 divided by -300158\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**2 + 814 + 145 + 18*c**2.\nAnswer: 22*c**2 + 959","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of s**4\/102 - 8*s**3\/51 - 20*s**2\/17 - 3*s - 6. Let n(r) = 0. Calculate r.\nAnswer: -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -258123 + 12748.\nAnswer: -245375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11613, -11615, -11617, -11619, -11621?\n\"Answer: -2*i - 11611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 20*i**2 + 6*i - 16. Let x(o) be the second derivative of o**4\/12 + o**3\/6 - 17*o. Let g(k) = -f(k) + 6*x(k). Differentiate g(q) wrt q.\nAnswer: -28*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uj when two letters picked without replacement from {i: 3, l: 3, s: 3, j: 3, d: 1, u: 7}.\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 5. Suppose 56*m - 96 = 72. Let q be 3\/(-2)*(-40)\/105. What is the nearest to -0.1 in q, m, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((z*(z*z**31\/z)\/z)\/z)\/(z*(z\/(z*z**(-37)))\/z*z))**49)**(-41))**(-47) assuming z is positive.\nAnswer: z**(-755384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/9 + 3292*l\/9 + 16610\/3.\nAnswer: -2*(l - 1661)*(l + 15)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*n - 8*n + 77*n**2 - 5*n + 29 - 3*n + 4*n to the form p*n**2 + u*n + b and give p.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, n: 5}. What is prob of picking 4 n?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from yyppppyppp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 1:02 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*z + 17*z = 32*z + 42 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, 4, 24, 52, 88, 132?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*g**2\/5 + 1648*g\/5 - 18666\/5.\nAnswer: -2*(g - 61)*(11*g - 153)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 6:54 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 22 + (-28 - -2) - ((4 - -1) + 2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 16 = -4*v - 2*z, 3*z = 2*v + 13. Let x(p) = 2*p**2 - 11*p + 14. What is the least common multiple of 13 and x(v)?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 + b + 13. Let x(s) = s**2 - 2*s. Determine x(j) + z(j).\nAnswer: -j**2 - j + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.74583 rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27376 by 1.\nAnswer: -27376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272) - (sqrt(272) + 2)*-6.\nAnswer: 12 + 28*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59973891359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -7*p**2 + 5*p + 87. Calculate q(5).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 249 + -248. What is the second derivative of 1 - 207*u - 47*u**3 - l + 159*u wrt u?\nAnswer: -282*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2293433385?\nAnswer: 3, 5, 23, 47, 141439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4*w + 3*o + 70, -94 = -5*w - 2*o. Put 2, w, -5, 3 in ascending order.\nAnswer: -5, 2, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 164, 317, 456, 575, 668?\nAnswer: 729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 81\/(-12) + 1\/(-4). Let q be (-3)\/(2 - -1)*1. Let h be (6\/8)\/(q*(-9)\/(-6)). Is f less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 25696, 22151, 16250, 7999, -2596, -15529?\n\"Answer: j**3 - 1184*j**2 + 26879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - o**2 - 4*o**2. Let u(y) be the first derivative of 0*y + 1\/2*y**2 + 12. What is u(m(s))?\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 2*w - 134. Let x be b(0). Let m = 137 + x. What is the derivative of -28 + 39*l**4 - 19 + 30*l**3 - 30*l**m wrt l?\nAnswer: 156*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*t + 4 - 9*t + 5 with respect to t.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 72*w + 300. Calculate b(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12, -33, -54, -75, -96, -117?\n\"Answer: -21*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4747 at least -4582?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1515 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 4*p - 20, a - 4 = 2*a - 2*p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -387251 + 387255. Let r = 0.0557 - -9.1143. Let l = 0.17 - r. What is the closest to -2 in f, l, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 1\/3*j**3 + 1\/10*j**5 + 0 - 5*j - 1\/3*j**4 + 0*j**2. Suppose k(d) = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 6:48 PM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1188)*4)\/(sqrt(144)\/sqrt(3)).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 2*r**2 + r + 3. Suppose -5*w - 20 = -4*q, 3*q = 5*q + 3*w - 10. Let p be ((-6)\/q)\/((-14)\/(-35)). Calculate f(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20\/109 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -15941 + 4?\nAnswer: -15937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110101 + 100?\nAnswer: -10110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -19*y - 9. Let r be p(-1). Solve r*t = 14 - 54 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4830\/(-9660))\/(2\/12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 132080.9553 to zero decimal places.\nAnswer: 132081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 138428227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 51*g**3 - g**2 + 7*g + 11. Let y be o(7). Let n = y - 55504. Round n to the nearest 1000.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.46978 kilograms to milligrams.\nAnswer: 35469780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 2*p + 8. Calculate x(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1215, -1187, -1161, -1137, -1115, -1095, -1077?\n\"Answer: -s**2 + 31*s - 1245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1836495 by 1.\nAnswer: -1836495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8746932 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99944, 399744, 899410, 1598942, 2498340, 3597604?\nAnswer: 4896734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-36 + (31 - 18 - 2) + -2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/7*-63*(-5)\/90?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5 - 12*b**4 - 44*b**3 - 48*b**2.\nAnswer: -b**2*(b + 2)*(b + 4)*(b + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5*14\/105*369 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107, 110, 111, 110, 107, 102?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -11. Let q = d + -5. Suppose q*v - 8 = 2*v. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, -93, -90, -85, -78, -69?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5072*z - 5070*z + 10147*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.69 - -0.31. Which is the nearest to w? (a) -1 (b) 0.4 (c) 1\/4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**6\/u))\/(u\/(u*u*u\/(u**(-6)\/u)*u))*(u*(u*u**(2\/17)*u)\/u)\/u*u**5*u*u assuming u is positive.\nAnswer: u**(223\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 29 - (-15 - -25 - 26)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 7*s**2 + 5*s - 5. Let j(i) = -3*i**2 - 2*i + 2. Let t(m) = 4*c(m) + 10*j(m). Let z(r) = -2*r**2 + 26. Determine z(t(f)).\nAnswer: -8*f**4 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -u**5 + 2*u**4\/3 + 17*u**3\/6 - u**2 - 432*u. Let n(k) = 7*k**3 - 3*k**2 - 6*k + 1. Give 3*h(x) + 8*n(x).\nAnswer: -4*x**3 + 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4 + 2 + 2*a + 2 - 3*a. Let g be n(8). Suppose 4*s = -o + 42, -5*s - 84 = -g*o - 2*o. What are the prime factors of o?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*y**2 + 1 + 4464*y + 4*y**2 - 9052*y + 4474*y to r*y + z*y**2 + w and give r.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220.0739 rounded to the nearest 10?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2022816 (base 10) in base 13?\nAnswer: 55a943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -81.83 to 0 decimal places.\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2728890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -j*o*v - 19775*j*o - 4*o*v - o + v - 155 wrt j.\nAnswer: -o*v - 19775*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 10*f**2 + 10*f - 10*f. Let p(h) = 4*h**2 - 26*h - 2. Let s(g) = 8*g**2 - 65*g - 5. Let k(b) = -5*p(b) + 2*s(b). Determine k(m(n)).\nAnswer: -400*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of t**6\/18 - 32*t**5\/15 - 17*t**4\/3 - 2*t**3\/9 + 67*t**2\/6 + 34*t\/3 + 307. Let q(l) = 0. Calculate l.\nAnswer: -1, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33260 (base 8) in base 11?\nAnswer: -a578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 2, l: 2, x: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41247403 and 3877.\nAnswer: 3877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttmmmm. What is prob of picking 2 m?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4 - 4 = -5*s, -14 = -2*i - 5*s. Let t = 1 - i. Let o be t\/(-1 - 1)*6. Solve d + 10 = -w, 2 = o*d - w + 12 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 1)*(x - 4*x + 4*x) - 2 - x + 2 + (-5 + 2 + 1)*(63 - 15*x - 92 + 47) to the form a*x + c and give c.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q + 95 = 3. Solve 2*z - 18 = 2*m, -q*m + 5*z = -m + 37 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17391122 is divided by 1029.\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4 - 1904899*a**3 - 1209532128822*a**2 - 255988604491095780*a + 5888377768968535752.\nAnswer: -(a - 23)*(a + 634974)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r - 3*r - 3*r + (-r - r + 4*r)*(-1 + 5 - 2) - 2 - r + 2 - 3*r + 2*r - r - 2653*r - 2721*r + 49*r in the form q + h*r and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 137*u**2 - 1 + 34*u**2.\nAnswer: -103*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.1 (b) 13 (c) -1\/5 (d) 5 (e) -0.095\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -520*s**2 - 3*s + 521*s**2 + 3*s. Let x(z) be the third derivative of 3*z**4\/8 + 12*z**2. Give x(l(k)).\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-70)\/132*2\/(-5). Let q = p + 1\/3. Determine r so that 0 + 4\/11*r**4 + 2\/11*r - 8\/11*r**3 + q*r**5 - 4\/11*r**2 = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2438018 rounded to four decimal places?\nAnswer: -0.2438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -69*r**3 + 49*r**2 + 39*r + 22. Is x(-19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4423230 and 273870.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -240, -440, -614, -762, -884, -980, -1050?\nAnswer: -1094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -u - d + 44, 2*d - 46 = -2*u. Let y be 1 + 1 + -1 + u. Solve 0 = 3*k - 5*o - 28, 2*k + 5*o = -k - y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5579, 5672, 5769, 5822, 5783, 5604, 5237, 4634?\nAnswer: 3747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 15009, 15067, 15163, 15297, 15469?\n\"Answer: 19*w**2 + w + 14989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-9)*(-6)\/(-21)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**2\/2 - 436*r - 41. Let x(q) = -q**2. Give x(w(f)).\nAnswer: -f**2 + 872*f - 190096","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 49864.91772 to the nearest ten.\nAnswer: 49860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1 + sqrt(1216) + 3 + 3)**2 - (sqrt(114)\/(sqrt(30)\/(sqrt(5)*-1)) + (1*sqrt(190)*-1)\/sqrt(10)).\nAnswer: 98*sqrt(19) + 1252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 3*u. Let t(j) = -j**2 - j. Let d(v) = -r(v) + 3*t(v). Suppose 2*g - 19 = 25. Let i(k) = -22*k - k**2 + g*k. What is i(d(s))?\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, w: 1, t: 11, c: 1, u: 2}. Give prob of picking 2 u, 1 b, and 1 c.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.5 + -0.6. Sort -5, 2\/13, j.\nAnswer: -5, 2\/13, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 50*t**5 - 1518*t**4 + 1358*t**3 + 18054*t**2 - 6808*t - 11136 = 0?\nAnswer: -3, -16\/25, 1, 4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/8 - 0)*176\/(-330).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/((-36)\/(-1))*3*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t - 18 = 19*t. Suppose 76 = t*b - 191. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*t + 39 = -0, -4*t = 3*z - 67. Suppose 2*b = -3*b + 65. Let s = b - z. Which is smaller: s or -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -62193*x + 62189*x + 86 + 174. Let h be c(30). Calculate the highest common divisor of h and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 0.109002.\nAnswer: 0.218004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.5 (b) -2\/3 (c) -29\/75 (d) -1\/17 (e) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 d when four letters picked without replacement from {z: 10, d: 4}?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2557*i = 2562*i - 35. Solve -i*u = -12*u + 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6*(-9)\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 805121291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*(-1)\/(-16) - 3\/3. Which is the closest to -1\/4? (a) 0.1 (b) j (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290670780.\nAnswer: 2, 3, 5, 23, 210631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + 0 - 26\/39. Let b = -0.14906 - 1.85094. What is the third biggest value in b, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 21*z**2 - 12*z - 13. Let w be h(-2). Calculate the greatest common divisor of w and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 185 in -1\/2, -4, 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/2)\/(201042\/(-1017036))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-825)\/2*(-12)\/9. Is 1\/((-2198)\/o + 8 + -4) a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 552874, 1105762, 1658648, 2211532?\n\"Answer: -a**2 + 552891*a - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k - 19. Let n be q(24). What are the prime factors of (-2)\/n + (-30921)\/(-165)?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h + 9. Let l(j) = -4*j + 3*j + 2 + 2*j. Let w(d) = -4*a(d) + 18*l(d). Let u(c) = 3*c**2. Determine u(w(f)).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1038 is divided by 3\/(2\/(-16)*6) - -22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 874*q**3 + 8*q**2 - 435*q**3 + q**2 + 16 - 440*q**3. Calculate x(9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -253059*q**3*u + 9770634*q**3 - 10*q*u - 3*q wrt u.\nAnswer: -253059*q**3 - 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*a = 2*r - 27*a - 33, -3*r - 4*a = -32 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.61 plus 4?\nAnswer: 62.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 77.67515 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 62\/16 + (-1)\/(-8). Suppose -x = y*x - 10. Suppose -4*s + 24 = 3*n + x*n, -4 = -n. Which is the smallest value? (a) s (b) -0.1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 653413\/5 + -130266. Let n = 417 - v. Factor 4\/5*h**2 + 2*h - n*h**3 - 12\/5.\nAnswer: -2*(h - 3)*(h - 1)*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 76188.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*r = 5*n - 36, 0 = -3*n - 4*r + 55. Suppose -g + n = -0. What are the prime factors of g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28712124 to the power of 1\/2, to the nearest integer?\nAnswer: 5358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -126, 2\/11, -3, -1\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28 + -50 - -13) + -10.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 337306922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -5. Let l be g\/12 + (-14)\/(-6). Let b(s) = -s**l + 0 + 0. Let z(q) = -4*q. What is z(b(h))?\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-47889 + 13*t + 7*t + 47892)*(-15 - 21 - 67) to the form k + u*t and give u.\nAnswer: -2060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**5\/2 + 229*s**4 + 694*s**3 - 1151*s**2 - 1387*s\/2 + 922 = 0. Calculate s.\nAnswer: -4, -1, 1, 461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.7410439 to two dps.\nAnswer: 1.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 24701839?\nAnswer: -24701836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 887815.7ng?\nAnswer: 0.0000000008878157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-6) - 40\/(-12). Let j = -4 + 7. Factor 2\/3*r**j + 2*r**2 + w*r + 2\/3.\nAnswer: 2*(r + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 79 + -442*172\/1118.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 10100111110100001010001010?\nAnswer: -10100111110100001010001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*v + 4*y + 100 = 0, -220 = -4*v - 2*y. Let r = -3433 + 3548. Calculate the remainder when r is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 7*m - 4. Let v(q) = 3454*q + 20. Let k(n) = -5*s(n) - v(n). Let b(p) = -p. Determine k(b(l)).\nAnswer: 3489*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6d + -3?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - 0) + (-42 - -58).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 7:58 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 + 0.5. Suppose -4*d - 21 = -7*d + 3*u, 2*d - 16 = u. Let s be ((-1)\/(-4))\/(d\/4 - 4). Which is the closest to f? (a) 2\/7 (b) s (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001110010000011001000 (base 2) to base 13.\nAnswer: -6ba247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10112 (base 3) in base 10?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/8 + 0\/(-1). Let s = -111 + 46. Let k be 3\/s + 26\/(-169). Sort -2, k, t in descending order.\nAnswer: k, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63714 divided by -31857.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 291*f**3*j**2*l - 30*f**3 - 8*f*j**2 + j**2*l with respect to l.\nAnswer: 291*f**3*j**2 + j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 2:38 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55636*k**3 + 78693 wrt k.\nAnswer: -166908*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 57*b + 13. Let q(t) = -11*t - 2. Let h(i) = -11*q(i) - 2*s(i). Suppose -4*o - 2 = -5*o. What is the lowest common multiple of 7 and h(o)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 634 smaller than 634?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*x = 126*x - 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80660 by 5.\nAnswer: 16132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -21 - 21 + o + 36 - 7*o**2 + o**3. Give y(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2019*v**3 - 28153*v + 3610*v**3 - 28160*v - 634*v**3 + 56313*v.\nAnswer: 4995*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 27 = -23. Which is the nearest to -1? (a) -1\/3 (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3298 and 116594.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 53*b - 8. Let a(i) = -160*i + 24. Let z(u) = 4*a(u) + 11*y(u). List the prime factors of z(-4).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n - 2*n + 4*n + (3*n + 0*n - 2*n)*(1 + 0 + 1).\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -17*w**2 - 75. Let d(r) = -26*r**2 - 120. Let p(v) = -5*d(v) + 8*u(v). Let f(b) = -4*b**2 + b**2 - 2*b**2. Determine f(p(n)).\nAnswer: -180*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 218 and 59320198?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 231.8568nm in centimeters?\nAnswer: 0.00002318568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 186 and 1659835263.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13833173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2611398?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.8 + 4. Let p = 51 - 50. Is a at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*f = 12. Let b(i) = i + 3*i + f - 3*i. Let u be 1 - (12\/2 + -1). Give b(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101 - 100?\nAnswer: -101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 7*n - 1. What is q(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 7:15 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14748\/13 - 44494768\/39221. Do 1 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 78*x - 72*x. Suppose r + 1420 = 4*t - x*r, -5*t = 5*r - 1775. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -o + 38, -4*o = -2*s + 964. Calculate the smallest common multiple of s and 183.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17093 rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*f + 1 + 81, n = -4. What is the smallest common multiple of (-90)\/(-21) - 4\/f and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/16*(-74)\/111. What is the biggest value in 955, q, -4?\nAnswer: 955","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5568484, 5568486, 5568488, 5568490, 5568492, 5568494?\n\"Answer: 2*m + 5568482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 7*a**2 + 381*a - 29659. Calculate b(-98).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 70 = 3*t. What is the common denominator of -143\/24 and (-39)\/t*30\/(-24)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*k - 3*h, -5*k = 3*h - 1 - 4. Let q = -2 + k. Suppose q*i - 4 = -5*j - 22, 2*i = 5*j + 22. Do 0 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 2:52 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/293176 and -121\/30?\nAnswer: 4397640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 23539821 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 16 = 0, 5*l - 4*j = -1349 + 16943. Is l smaller than 3122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -24*a - 120. Is 24 a factor of w(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + 0*d**2 + 2*d**2)*(4743 - 7343*d - 7357*d + 14701*d).\nAnswer: 2*d**3 + 9486*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1044 and 117?\nAnswer: 13572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-14 + 50\/10).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, p: 1, k: 1, j: 4, g: 5}. What is prob of picking 1 p and 1 k?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -4*n + 5*n - 9, -w - n = -3. Suppose -89903 = w*a - 461939. Let c = a + -376018. Round c to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -7*n**2 - 16*n - 2. Let f(p) = 28*p + 32. Let v(h) = -3*f(h) - 5*x(h). What is the first derivative of v(u) wrt u?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2385 (base 12) to base 6.\nAnswer: -30245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 520 and 195.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 d when four letters picked without replacement from ededd?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*k + 295 = 4*d, -k = d - 59. What is the remainder when d is divided by 36?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2191732201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -106, -130, -154?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2759572 is divided by 3289.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -21*s + 4. Let l be m(4). Let q be 3\/(1*3\/(-6)*-1). Calculate the least common multiple of 10 and (6\/(-5))\/(q\/l).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a - k - 1 - 4, a = k for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 5*j**2 + 6*j + 5. Let q be n(-8). Let b = -84 - q. What is the remainder when b is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303227.5 centuries in decades?\nAnswer: 3032275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 11 - 37 + 2 + 8 - 4*u**2 + 13.\nAnswer: -4*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(912) + sqrt(57) + sqrt(57))\/(sqrt(3) - 3*sqrt(75)))**2.\nAnswer: 1539\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2742.\nAnswer: 2, 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 26*i - 1. Let x(r) = 13*r - 1. Let o(v) = 3*k(v) - 7*x(v). What is the tens digit of o(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 32*z**2 - 68*z**2 + 28*z + 33*z**2 - 28*z. Let r(p) be the second derivative of -5*p**3\/6 + 11*p**2\/2 + 6*p. Calculate r(u(j)).\nAnswer: 15*j**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14*(-12)\/105)\/((-2)\/5). Suppose 4*s - h = -35 - 5, -s = 3*h + 10. Let k be ((-4)\/260)\/(y\/s). Is k at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 0) + -31 + 19 + 8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 211112 (base 3) to base 11\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -125 times -2\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/164 and -67\/94496348.\nAnswer: 3874350268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 712378 is divided by 124.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 10*v = -140. Is ((-526)\/(-3))\/(v\/(-30)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o + 7. Let v = -241 + 246. Suppose -5*d + w + 35 = 6*w, v*d - 5*w - 5 = 0. Determine k(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 7*g - 2. Let j be q(10). Let n = j + -127. Let h = 64 + n. Solve -s + h*s + 5*y + 13 = 0, 2 = -2*y for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 86*i**2 + 231*i - 52. List the prime factors of u(-26).\nAnswer: 2, 13, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/320352 and 137\/1040292.\nAnswer: 391149792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-seven halves of a hour?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5104 is divided by 884?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 5*a. Let y(z) = 5*z**2 + 47866*z + 1. Calculate u(y(x)).\nAnswer: 25*x**2 + 239330*x + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/15 + 0\/1. Let j = 1 + -0.5. Let k = 100 - 101. Which is the nearest to k? (a) l (b) 0 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((2 + 0 - 1) + (-57 - -46))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/3, -29, 1\/4, -1\/545, -6, -1\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 137063168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i - i**2 + 7*i**2 - 4*i - i**3 + 5*i - 5. Let o be n(5). Let d be 4 + o + 0\/6. Solve 0 = -g - 1 - d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 7 = m. Suppose -h - 10 = -5*l, -m*h + 4 = 4*l - 4. Solve h + 6 = -2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-8\/9)\/m*m**(-2\/23)*m**(-2)\/(m**0*m) assuming m is positive.\nAnswer: m**(-1030\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4409?\nAnswer: 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 92465.95 rounded to the nearest 1000?\nAnswer: 92000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 0*f = f - 18, 0 = 5*y - 4*f - 3. Let g(c) = 4*c - 3*c - y*c. Let z(w) = -3*w. What is z(g(i))?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 791 + -787. Let c(o) = 5*o - 8. What is c(i)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1010ae - -2d?\nAnswer: 1010dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4440*t**2 - 696*t**2 + 1217*t**2 - 1286*t**2.\nAnswer: -5205*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/15 + 14*r\/3 - 204\/5.\nAnswer: -2*(r - 18)*(r - 17)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.1 (b) -1\/1601 (c) 0 (d) 3 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 >= 116735\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 988874 and -8.4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7295441526 + 31.2704545574. Let n = -109 - -77. Let s = i + n. Round s to seven decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 461195007 to the nearest integer?\nAnswer: 21475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -1 + 0*l**2 + 0*l + 5\/3*l**3 - 3\/4*l**4. What is the third derivative of c(i) wrt i?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/3 - 2788*w + 2914854.\nAnswer: 2*(w - 2091)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58596?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 6*x + 3*x + 3 + 4*x - 3*x. Is t(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -4*o**2 - 450291176*o + 450291180 = 0.\nAnswer: -112572795, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-6) + 28\/8)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*w - 7*w + 11*w)*(-w + 2*w + w)*(4 + 1 - 2) in the form z + o*w**2 + d*w and give o.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 - -27 - (-10 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -439 - -439.000449. What is r rounded to five decimal places?\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -74755, -149819, -224883, -299947, -375011, -450075?\n\"Answer: -75064*c + 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6977454 and 49137?\nAnswer: 6977454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 333 and 77067.\nAnswer: 2851479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u. Let n(q) = -q**2 - 6*q + 8. Let p be n(-7). Let w be b(p). Suppose w*k + 5 = 4*k. Calculate the remainder when 17 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 17 + 27*k**3 + 56*k**3.\nAnswer: 83*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.218 + 1.168. Sort -1\/5, -0.3, 2\/7, d in increasing order.\nAnswer: -0.3, -1\/5, d, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 28*n**3 + 23*n**4 - 2 - 14 - 7*n**4. Let t(x) = -3*x**4 - 5*x**3 + 3. Let w(s) = 5*l(s) + 28*t(s). What is the derivative of w(y) wrt y?\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/3, -1.7, -0.5, 14.2.\nAnswer: -10\/3, -1.7, -0.5, 14.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2142 + 1698 = 15*l. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54.125 + -0.125. Let g = q - 51. Which is the third smallest value? (a) -1 (b) -5\/2 (c) 0.2 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*n + 24*n**2 - 20*n**2 + 3 + 4 + 4 as c + g*n**2 + k*n and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 87 times 33\nAnswer: 2871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.34997993 + 2.35. What is a rounded to six decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 232966839 and 3174?\nAnswer: 1587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34388, 68789, 103186, 137579?\nAnswer: 171968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 529083, 529094, 529111, 529134, 529163, 529198?\n\"Answer: 3*w**2 + 2*w + 529078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 242.7 - 242.70001533. What is h rounded to six decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0*o + 4*k + 118 = 0, -5*o - 4*k = -494. Let a = 1 + 1. Suppose -4*h = 8, -3*p + o = a*p - h. What is the greatest common divisor of p and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39029*j**4 + 20527*j**2 - 2 wrt j?\nAnswer: 936696*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -6724 less than -6724?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.19 + -2.3. Let l = -0.11 - v. Is l bigger than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z + 1. Let k be (1\/3)\/(1\/3). Let l be u(k). Suppose l*c = -25, -2*h + 7*h - 4*c - 35 = 0. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -552*t**2 - 544*t**2 + 1110*t**2.\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -810 divided by -135?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - (9 - (-13 + 6 - -4))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6709 + -1?\nAnswer: -670a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 64 = -4*l, 0 = -3*l - 5*x + 25 + 28. Calculate the highest common factor of 11 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2 (b) -2\/11 (c) 29 (d) -2811\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 10. Let f be (-7)\/7*(-30 - 1). Solve 4*v - m - 21 = -d, f = 5*v + 2*m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 49 = 2*q. What is the derivative of -q - 2*p - 3*p + 1 wrt p?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwaqdwc. Give prob of sequence uq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-3))\/(((-24)\/(-36))\/2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -3*s - 36, -487*s + 490*s = 5*z - 50 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 2*o - 3*o)*(-3 - 3 - 1 + (-2 + 0 - 1)*(-1 + 1 - 2)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 7\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 47 - 187. Let t = -105 + r. Let n be 390\/t + (-6)\/14. Which is smaller: n or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*j + 6. Suppose -27*s - 160 - 56 = 0. List the prime factors of j*5*s\/(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14835954?\nAnswer: 2, 3, 7, 353237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/203 in 4\/3, -2\/23, 1\/5, 0.5?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(156)\/sqrt(3) + sqrt(52) + -5)*-1 - (-4 + (sqrt(104)*-1)\/sqrt(2)))**2.\nAnswer: -144*sqrt(13) + 532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 6*a + 10. Let p be k(-5). What is the highest common divisor of p and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16804600 to the nearest one hundred thousand.\nAnswer: 16800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 301341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (3 - (14 + -8 - 5)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6582544, -13165094, -19747644, -26330194, -32912744, -39495294?\n\"Answer: -6582550*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2225*l**3 - 2*l**2 - 8*l + 132.\nAnswer: 13350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2202212201220 - 1?\nAnswer: -2202212201221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 511 = -4*j, -43 = -5*j - 18. Let m be (d - 173) + (8 - (1 + -1)). What is the highest common factor of 20 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 6*x**5 + 16768*x**4 - 39170*x**3 - 33540*x**2 + 67144*x + 44752 = 0?\nAnswer: -2797, -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 686 + -688. Sort -3, v, 26.\nAnswer: -3, v, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100813 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368 is divided by 144?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -10. Let v(w) = w**2 - 6*w - 11. Let r be v(8). Suppose -m*d = -r*d + 6. Solve d*t + 3*t = -4*b + 4, 3*b + 2*t - 3 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130 and 7111?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u - 8. Let j be w(10). Let y = -19 + j. Suppose 2*k - 14 = -4*h, 3*h - 3*k - 18 = 15. Solve h = 5*v - n - y, -2 = 2*v + n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.8 - -1.7. Let w = -37 + 40. Which is the second biggest value? (a) p (b) w (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3443787862.\nAnswer: 2, 14831, 116101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 64 or 27.2?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -34804289431 - -1.16\nAnswer: -34804289429.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a + 0 + 0 + 0*a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 36290268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 359\nAnswer: 3\/359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 4)*(-84 + 17*o**3 + 84).\nAnswer: -17*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 228748 (base 9) in base 16?\nAnswer: 219bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*q + 29922 - 139122 = 0. What is the smallest common multiple of 140 and q?\nAnswer: 9100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.003 (b) 0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -280567 + 4?\nAnswer: -280563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -444*n**2 - 9*n**4 + 80*n + 149 + 2*n**4 + 196*n**3 - n**4 + 27 = 0?\nAnswer: -1\/2, 1, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 - (26 + (-6 - 19) - -2).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -38628 + 48.5796\nAnswer: -38579.4204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of (7001676\/84)\/11 - (-24)\/56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/22 - 92\/(-22). Suppose 0 = -4*c + 6*c - s. What is the lowest common multiple of c and 19?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r - 2*r - 11*r + 80. Solve -f - 9 = w, 6*w = 2*w - r for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 - -41. Let -k + k + 2*k**3 + p*k**3 + 2*k + 6*k**2 = 0. What is k?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**8\/224 + 3*k**7\/280 + k**6\/160 - 3*k**5\/80 + k**4\/32 - 42*k**2. Suppose u(d) = 0. Calculate d.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71785 and 75509?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 56*f**2 - 8518. Let s(v) = 7*v**2. Determine h(s(x)).\nAnswer: 784*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/10*((-2)\/1)\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-147)\/(-6) - (-2)\/4. What are the prime factors of (-5)\/z - (-112)\/10?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 753868?\nAnswer: 2, 229, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/((-1)\/2 - -2)*-1. Let u(r) = -n*r - 5*r + 11*r. Let f(b) = -11*b. Determine f(u(x)).\nAnswer: 22*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1192 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 4) + 7 - 8 - (-19 + (13 - -3))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1605729545 to the nearest integer?\nAnswer: 1171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 170*n - 175*n - 70 = 0, 58 = 2*p + 4*n for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -106*x**2 - 6*x + 3383 wrt x?\nAnswer: -212*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i - 4 + 1 + 3. Let h(u) = 4*u**2 + 5*u + 5. Let o(b) = b**2 + b + 1. Let j(w) = h(w) - 5*o(w). Calculate j(r(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 11543944.\nAnswer: 34631832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 220, 456, 850, 1402, 2112?\nAnswer: 2980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((i**(2\/19)*i)\/i)\/i)\/i**(-8\/3))\/(i**(-7)\/i**(2\/7)))**(-2\/5))**(-46\/7) assuming i is positive.\nAnswer: i**(332488\/13965)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10 - (2 + -16 - -30). Let f(o) = o**3 + 7*o**2 - 7*o - 13. Calculate f(n).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31349167 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - k = -2*r, 3*k = -r + 2. Suppose -5*q + 3*q = -k. Suppose h + 3*v = -q, -5 = h - 0*h + 5*v. Solve -6 = -u - h*w + 12, u + 18 = 4*w for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 44 = a. Let u(y) = 3 + 1 + y**3 + 2 - y. What is the least common multiple of u(0) and a?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 15*p**2 + 1 - 41*p + 78*p - 37*p. Let r(n) = -2*n. Calculate r(u(x)).\nAnswer: -30*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91 + 9795.\nAnswer: 9704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59801527 is divided by 128.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3155, 3157, 3161, 3167, 3175, 3185?\nAnswer: 3197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g + 1262 - 1262. Let m(c) be the second derivative of -c**4\/3 + c. Give m(v(f)).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46*207\/(-22218))\/((-16)\/14)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 1 + 1)*(-6819 - 6817 - 488*l + 13634).\nAnswer: 488*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6 - 12) + 7\/((-14)\/(-12)) + 10680?\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(2*(-1)\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3728 and 294046?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -63 - 86.994.\nAnswer: -149.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 8*v - 4*v. Suppose o + 11 = -f + v*f, 4*o = f - 5. Calculate the remainder when 64 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 330102 - 8838 - 2*g - g.\nAnswer: -3*g + 321264","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 k when three letters picked without replacement from {c: 2, u: 1, k: 4, d: 6}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b092 (base 12) in base 9?\nAnswer: 165002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5 + (sqrt(18))**2)*-3.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 42*s - 163. List the prime factors of u(31).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -57. Let x = 45 - n. Suppose -4*s = x*m - 12, -2*m + 3*s - 16 = -4*m. Calculate the smallest common multiple of m and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5054 (b) 122 (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/3)\/d)**(-34\/3)*d**(-6)*((d\/(d\/(d\/(d**(-3)\/d))))\/d*d*d)\/d*(d**(-7)\/(d\/(d**1\/d*d)))\/((d**(2\/3)\/d)\/d)**(6\/7) assuming d is positive.\nAnswer: d**(44\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46\/3 - 15. Which is the fourth smallest value? (a) g (b) 5 (c) -1\/4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 818*l**2 + 2053*l**5 + 924*l**2 - 394*l**2 - 267*l**5 wrt l?\nAnswer: 107160*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 37188 and 2528784.\nAnswer: 2528784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -24*13*-9*2\/6. Suppose -11*y = -7*y - s. Calculate the remainder when y is divided by 60.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 2*h - 3 - 4, -x - 1 = h. Suppose x*u = 80 + 160. Calculate the highest common divisor of 32 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*q - 31, -3*q + 1 = -5*n - 12. Let h = -59.15 - -55. Let u = h - -0.15. Which is the biggest value? (a) u (b) -4\/7 (c) -1 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588620360 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -8. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -135*q**2 - 6358*q - 6814. Give u(-46).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 7*z + 8. Let c = 46 - 52. Let k be q(c). Find the third derivative of -2 + 4*x**2 + 6*x**2 + 2*x**6 + k wrt x.\nAnswer: 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13 - -f3f?\nAnswer: f52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-2))\/((459\/(-252))\/(-17)). Let q be ((-14)\/(-4))\/(3\/18). Let y be (8\/u)\/((-6)\/q). What is the highest common factor of 10 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 18*r + 2. Let f(i) = -3*i. Let k(a) = 3*c(a) + 15*f(a). Let l(o) = 213 - 214 - 352050*o + 352049*o. What is k(z) + 4*l(z)?\nAnswer: 5*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65\/6 - 34\/3. Let p = 22 - 21.4. What is the closest to 2 in p, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 + 2*u**3 + 2*u**3)*(-1 + 0 + 3 - 2 + 3 - 2 + 6 - 3 - 4 + (0 - 1 + 2)*(-3 + 3 - 2) - 1 + 2 - 4 + (5 - 5 + 3)*(-2 + 4 - 1)).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 8419*g**2 - 16846*g**2 - g**4 + 8428*g**2 - 3*g**3 + 21*g in the form b*g**4 + n*g**2 + i*g + k + v*g**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 5*s + 11, -2*s - 116 = -2*i - 106. Let k(p) = -p**3 + p + 1. Let u(z) = -5*z**3 + z**2 + 2*z + 4. What is i*k(a) - u(a)?\nAnswer: a**3 - a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -124234.7 + 124235. Let v = -4 - -4. Let m = 4.94 - -0.06. Which is the third biggest value? (a) f (b) m (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -31, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1393367964 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: Let y = 75.8 - 83.78. What is y rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pha when three letters picked without replacement from phahalhh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2219551931786 - 13*i + 2219551931786.\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__collect_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: Express (-2 + 4 - 5)*(-962*d - 1134*d + 118*d - 1465*d) in the form t*d + g and give t.\nAnswer: 10329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -22. Suppose 0 = 2*r - 5*y - 29, 2*r + 3*y = 3 - 14. Suppose -s*z = -r*z - 30. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -215\/4 + 181\/4. Let q = j + 49\/6. Which is the nearest to 1.4? (a) q (b) 1\/2 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**2*t**3 + 9*b**2*t**2 - 448*b**2 - b*t**3 - b*t**2 + 11*b*t + 79*t**2 wrt b?\nAnswer: -4*t**3 + 18*t**2 - 896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54020 and 9250?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76323 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 757 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c (base 16) in base 13?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 8:59 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 4*y**2 + 0*y + 6*y**2)*((-y + 1 - 1)*(y - 3*y + 0*y) - 3*y**2 + 6*y**2 - y**2 + 2*y**2 - y**2 + 2*y**2)*(30 + 15 - 27).\nAnswer: 252*y**4 + 378*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13937404520 + 0.3.\nAnswer: -13937404519.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -99*x**5 + 10197*x**4 - 22*x - 242 wrt x.\nAnswer: -1980*x**3 + 122364*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - 3 - -3 - -1. Let m be -1 - (2 + -3)*f. Find the first derivative of -3 - m*y**2 + 21 - 11*y**2 wrt y.\nAnswer: -30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ei when two letters picked without replacement from {p: 3, r: 4, v: 4, i: 1, e: 3, y: 2}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d**3 - 13*d**2 + 19*d + 18. Let f(s) = 5*s**3 + 19*s**2 - 29*s - 27. Let z(m) = -5*f(m) - 8*o(m). Determine z(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 555315.712 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 2245?\nAnswer: -224a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82058803 to the nearest integer?\nAnswer: 9059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*a - 180 - 186 + 58 = 0. Solve -a = -j - 1 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8801 + -8805. Put -0.1, -0.5, 0.3, -19\/27, j in decreasing order.\nAnswer: 0.3, -0.1, -0.5, -19\/27, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 13614541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2241.5004 rounded to the nearest ten?\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 237 - 237. Suppose -5*u - 15*u + 4700 = d. Is 41 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -760 divided by -5\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 319\/((69\/(-92))\/(6\/(-4)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1329 - -2161. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200 - -26 - (-10)\/2?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1248646858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/36 and 16\/371955?\nAnswer: 4463460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 6:28 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 261a3735 + -7?\nAnswer: 261a372a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 2*170\/(-2). Suppose p = 5*v - 0*v + d, 0 = 5*v + 2*d - 170. Let w = 272 + -260. What is the remainder when v is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -75?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3*n = -j + 162, -2*n = -3*j + 521. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 200 - 11?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2974033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 3*b + 10 + 10*b - 10 to the form u + w*b and give w.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -705, -3, -12, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2946, 1, -4, -18.\nAnswer: -18, -4, 1, 5, 2946","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.562 - 0.362. Put 1, -13, v in descending order.\nAnswer: 1, v, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3793 - 15099\/4. Let w = -38819642 + 1009502405\/26. Let h = w - 7370. What is the common denominator of i and h?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -p + 8. Let g(x) = -x**3 + 13*x**2 + 13*x + 18. Let b be g(p). Suppose b*o - 45 = -1. What is the remainder when 40 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.6 (b) -0.6 (c) -0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 670895 and 93556?\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-144)\/(-40))\/(8\/6140)?\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 12:02 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.65 rounded to one dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggpzinzp. What is prob of sequence pnz?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -9*t + 9. Let s be l(-6). Suppose 2 - 6 = -2*q. Suppose -5*i + 0*b = 3*b - s, -3*i = -q*b - 34. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*k + 14*k + 40 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -3554 and -3554 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 4*a**2 - 3*a - 5. Let r = 6 + -10. Let i be t(r). Let s be (-8)\/(-32) - 27\/(-4). Calculate the highest common divisor of i and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 >= 23\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006582 to four decimal places.\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7769*b - 23197*b + 7718*b + 7810*b.\nAnswer: 100*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -110702 (base 11) to base 6\nAnswer: -3441153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 72 + 130?\nAnswer: 1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -268*j**3 - 3*j**2 + 6*j - 3. Let k(r) = 24119*r**3 + 271*r**2 - 542*r + 271. Determine 6*k(t) + 542*q(t).\nAnswer: -542*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -751 + 750. Sort 1\/7, h, 28\/15 in ascending order.\nAnswer: h, 1\/7, 28\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470016 is divided by 36153.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20.4 + -20.2. Which is the second biggest value? (a) 27 (b) 5 (c) -1 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*u - 74 = 0, -u - 142 + 8 = 2*l. Is 84\/(-8)*l\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3 = -1. Suppose -m + 54 = i*m. 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: Collect the terms in 5*k - k - 3*k + 159 - 11*k**2 - 159.\nAnswer: -11*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 3*t + 42. Calculate the remainder when f(7) is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*a**3*c*m - 742306*a**3*g*m**2 + a**2*g*m**2 + 2*a**2*m**2 - 71*a*c*g + 3*c*m**2 - 6370*m**2 wrt a?\nAnswer: 174*c*m - 4453836*g*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -1096\/3*l**2 + 364*l**3 - 364*l + 1094\/3 + 2\/3*l**4 = 0.\nAnswer: -547, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 3, 3*b + 15 = 248*t - 243*t. Solve -o = -2*s - 3, 2*s + 6*o + b + 24 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*m, -4 = 4*r - 3*m. Let s(x) be the third derivative of -7*x**5\/60 + x**3\/6 - x**2. Give s(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q**2 - 5*q**2 + 0*q**2)*(53*q - 24*q - 5*q + 14*q).\nAnswer: -418*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 299849.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of 1\/20*k**5 - 5\/12*k**4 - 8*k - k**3 + 0*k**2 + 0. Let q = 5 - -1. Calculate b(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m**3\/2 + 139*m**2\/4 + 85*m - 25\/4 = 0.\nAnswer: -5, 1\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 490649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 217\/34 in -0.04, 3\/4, -7, -0.2, -1\/3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 373b01 - 2a?\nAnswer: 373a93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**2 - 1104*j + 27648 = 0. Calculate j.\nAnswer: -576, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(3\/7)\/(d*d\/(d\/d**(-23))) assuming d is positive.\nAnswer: d**(157\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -3*s**2\/5 - 6160596*s\/5 - 3162745256268\/5 = 0.\nAnswer: -1026766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 263196001 to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4103)\/(-746))\/(-3*2\/4)?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0516, 2\/11, 1, 45\/2 in decreasing order.\nAnswer: 45\/2, 1, 2\/11, -0.0516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 2*q = 30 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t**4 - t**3 + 2929*t**2 - 1711*t - 22.\nAnswer: 12*t**2 - 6*t + 5858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-25))\/((-34)\/340). Put 80, 4, o in increasing order.\nAnswer: o, 4, 80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24\/(-14))\/(2\/(-7)). Let u be 1\/(-2)*(-3)\/t. Which is the closest to -2? (a) 0.2 (b) u (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -539 = 5*r - 1899. Suppose -4*v - 4*t = -144, -204*v + 30 = -203*v - 2*t. What is the greatest common divisor of v and r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14051 (base 7) to base 3\nAnswer: 12020002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 7\/4)*-4. Suppose -6*q = -46 - 8. Let m(d) = d**3 - 7*d**2 - 8*d - 2. Let t be m(q). Calculate the highest common divisor of v and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2. Let k(g) be the third derivative of -g**5\/60 + 7*g**2 + g. What is k(t(l))?\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 234 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 2*h + 2. Let s(k) = 5*k**2 + 11*k - 11. Let z = -26 + 15. Suppose 0*v = -2*v - 4. Give v*s(o) + z*u(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 49*y**6\/69 + 70*y**5\/23 + 93*y**4\/23 + 136*y**3\/69 + 8*y**2\/23 + 339. Solve k(w) = 0 for w.\nAnswer: -2, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - s**2 - s - 1. Let m(u) = 4*u**3 + 8*u**2 + 5*u + 7. Suppose 3*v = 3*o - 21, -5*v + o + 2*o = 31. Determine v*b(x) - m(x).\nAnswer: x**3 - 3*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6947\/62685 + -2\/6965. Suppose z - 12 = -4*d, -2*z + 5 = 3*d + 1. Let i = -226.21 - -226. What is the third biggest value in i, v, d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -180.8 + 181. Let l = 1.2 + 0.8. Which is the closest to -2\/21? (a) -2 (b) l (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*n**3*t + 265528*n**2*t*y - 240*n*t*y - 2*n*t + 42*t*y + 2*t + y - 1 wrt n?\nAnswer: -30*n*t + 531056*t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 394421 - -889?\nAnswer: 395310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = n - 200, 0 = -4*z + 23 - 39. Calculate the highest common factor of n and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4704 + -4861. Which is smaller: -168 or j?\nAnswer: -168","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 12*u + 55 = p, -2*p + 134 = 4*u. What is the highest common factor of p and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10, 4\/7, 0.4, 76, -0.5, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 232*k**3 - 2*k**2 - 2*k - 1. Suppose 2*x - 1 = 5*w - 2, 0 = 3*w - x. Let q be l(w). What is q rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4878163560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 6*j**5 + 279*j**4 + 4179*j**3 + 17808*j**2 - 34560*j + 12288 = 0.\nAnswer: -16, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (303 - 11)\/(6 - (-768)\/(-129)).\nAnswer: 2, 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r**2 - 2*r - 2. Let u be -1 - (721 - (9 + -12)). Let c = u - -724. Give m(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 133 - -11501?\nAnswer: 12034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 3336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 9*m + 55 = 2*m, 2*m + 12 = 3*r - 11 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4*(2*sqrt(170) + sqrt(170) - sqrt(170)))\/((sqrt(100) + -1*sqrt(100))\/sqrt(10) - sqrt(10)).\nAnswer: 1 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -11. What is the first derivative of -1 - 2*q + 9*q**3 + w*q + 3 wrt q?\nAnswer: 27*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -4*j**2 + 100*j + 5979. Determine g(14).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(8) - sqrt(2)) + 3 + 5*sqrt(32) + sqrt(2).\nAnswer: 4 + 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33542967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/5))**24*((g*g**(-2)\/g*g)\/g)**(-2\/5)*((g\/((g\/(g\/((g*g**(-2\/5))\/g)))\/g))\/g**0)**(-26) assuming g is positive.\nAnswer: g**(-356\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -318*c**5 - 17735*c**3 - 668517*c - 2 wrt c?\nAnswer: -6360*c**3 - 106410*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -915298 (base 10) to base 15\nAnswer: -1312ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44010\/(-1467))\/((-2)\/((-2)\/3))*1\/1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 100983 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 341718 divided by -1\nAnswer: -341718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - 2*d + 43 + 15, 26*d - 17*d - 276 = 3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -4\/9, 10\/3, -2, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x + 96*x**2 - 3 + 3*x - 95*x**2. Determine u(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 2 = -4*c - 4*b, -6 = 2*b for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10543, 0.25, 0.4?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -p - 14, 5*a + 4*p + 35 = -0*p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**3\/6 - 3*m**2 + 3*m. Let k be -7 - (5 + -7 - -2). Calculate s(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-9)*y)\/(y\/(y*y\/(y\/(y**(-8)\/y)*y)*y)*y))**(-41)\/((y**(-1)*y)**23)**(2\/61) assuming y is positive.\nAnswer: y**738","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 5:56 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13498391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 6*h - 3*h - 10, 0 = 5*m - 4*h - 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -308*0.2.\nAnswer: -61.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -711, -5654, -19069, -45192, -88259, -152506, -242169, -361484?\nAnswer: -514687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -242 + 248. Which is the third smallest value? (a) u (b) -0.3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 6*p + 41*r = p + 43*r - 8, 11 = -34*p - 5*r - 105 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3942 is divided by 897.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28293 is divided by 4627.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5866 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14340 + -1279. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77238.\nAnswer: 2, 3, 7, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, m: 4, z: 2, a: 1, i: 4, y: 3}. What is prob of picking 3 m and 1 a?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 11:06 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 13 + (-2 - (4 - 2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6945 - 6947. Which is the second smallest value? (a) 5 (b) g (c) -5 (d) -0.06 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5 = 5*p, 4*p - 2 = 2*y + p. Calculate the remainder when 8 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*b**3 + 996*b**2 - 760*b - 252.\nAnswer: 4*(b - 1)*(b + 63)*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.1 + -2.100052. Round a to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - u - 1, 3*u - 4*u + 2 = 0. Let i(x) = 3*x**2 + 4*x + 3. Let p(v) = -4*v**2 - 5*v - 4. What is s*i(r) - 2*p(r)?\nAnswer: -r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 19.8. Let v = 0.1 - 0.2. What is the second biggest value in w, v, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 100084?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-312)\/(-130))\/((-2)\/(-5)). Let f be ((-4)\/j)\/(14\/(-42)). Suppose -f*v + 2160000 = -6*v. What is v rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(343)\/sqrt(112))\/(2*sqrt(847) - sqrt(847) - 1*sqrt(28)))**2.\nAnswer: 7\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**6\/p**(-2\/3)*(p\/((p*p**(2\/7))\/p*p))\/(p**(-8)*p*p*p))\/(p*p**(1\/2)*p**(3\/2)*(p**1\/p)**17) assuming p is positive.\nAnswer: p**(176\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 4*y - 3*y)*(0 + 11 - 1)*(2 - 6 - 2).\nAnswer: 60*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1245043 (base 6) in base 4?\nAnswer: 100232103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-108)\/42 - -4*58\/84?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -187\/30 and 1\/3234?\nAnswer: 16170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 705447 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 12*b**2 - 4*b - 15. Let j be h(12). Let p(y) = -9*y**2 - 2*y. Let n(r) = -280*r**2 - 63*r. Determine j*p(f) + 2*n(f).\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -12*k - 2. Let m(t) = -2*t**2 - 109. Determine m(q(a)).\nAnswer: -288*a**2 - 96*a - 117","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is -233b63 (base 16) in base 4?\nAnswer: -20303231203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 56127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 u when three letters picked without replacement from pytyputtxtutypuptt.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - (-2)\/(-2))*1. Let o be 4\/(-2) + 2 + 0. Let r = i + o. Which is greater: r or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -383819\/3070424 - -2\/383803. Let i = -6.7 - -8.65. Let f = i - 2. What is the third smallest value in b, -0.3, f, 4\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 2*t + 13509. Let z be h(0). Let y be 12 + (-2 + 0)\/1. Suppose -y*k + z = -k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 - -80. Let v = n + -12. Is 36 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1390189674 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6 - 1)*(-12)\/16*-8\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 10*h**2 + 12*h - 6. Let n be b(11). Suppose n*u - 2*w - 175 = -4*w, 0 = 5*u + 5*w - 190. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05 - 0.25. What is the nearest to 1\/2 in 5, j, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9732291495 plus -0.04?\nAnswer: 0.9332291495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*w = 9, 5*u - 4*w - 1 = -6*w. Let v be (8 + u)*(-5)\/(-15). Is (-1)\/v - 292\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**2 - 6*t + 18. Let j be y(3). What is the remainder when 15 is divided by (4\/j + 14\/(-18))*-4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3431527?\nAnswer: 11, 311957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 84338\/15 - 5626. What is the common denominator of t and ((-4)\/(-6) - (-1183)\/231) + 1 + -7?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2 + (-1 + 1 - 1)*(2 - 1 - 2) - 5 + 4 + 0 - 3 + 0 + 4 - 2 + 0 + 4 - 30 - 30 - 6)*(-5*s + 6 - 6).\nAnswer: 305*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o - 31 + 1147 = 0. List the prime factors of o.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 987303202 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: How many minutes are there between 12:11 PM and 7:35 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -3. Suppose p = 5*i - 3*i + 4. Let g be 9900006\/9 - i\/(-3). What is g rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 106, 104, 100, 94, 86?\n\"Answer: -w**2 + w + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.21808 millilitres in litres?\nAnswer: 0.00321808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44546 and 140.\nAnswer: 3118220","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.0705 times 8?\nAnswer: -0.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*m**3 - 657 + 657.\nAnswer: -15*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 1060.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/17)\/a**(-5)*(a*a*a\/a**(-2\/15))\/a**5*(a**(-2\/17)\/(a\/(a**(-2\/7)\/a)))\/(a**(2\/5)*a*(a\/(a\/(a\/((a*a\/((a**0*a)\/a)*a)\/a))))\/a) assuming a is positive.\nAnswer: a**(152\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/759 and 127\/1242?\nAnswer: 13662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or -322676?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -7. Suppose -102 = -5*v + 3*a, -7*a + i*a = -4. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -280 divided by -27?\nAnswer: 280\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*c + 25*c + 5*c**3.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.01 (b) 5 (c) 11 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncc when three letters picked without replacement from gngkcignkicunc?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 1, -1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -k**2\/2 - 4*k + 19. Let g(m) = -m - 5. Give 5*g(p) - 6*w(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 3 (b) -0.3 (c) 0.5 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25281*d**5\/7 - 4611*d**4 - 93644*d**3\/7 + 128624*d**2\/7 - 29920*d\/7 + 1936\/7 = 0. Calculate d.\nAnswer: -2, 22\/159, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12 (b) -4\/39 (c) 0 (d) 2\/71\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 8903000 to the nearest one hundred thousand.\nAnswer: 8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + -28 + -15 + 18. Let s be 5*((-10)\/r)\/(2\/5). Solve 10 + 2 = 4*v, 0 = -4*j - s*v + 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)\/(sqrt(36) + sqrt(2916)))\/(-3*1*sqrt(12) + sqrt(12) + sqrt(12) + -2*2*sqrt(12))*6)**2.\nAnswer: 2\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 622 (base 8) to base 15\nAnswer: 1bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2*n + 2)*(2 - 4*n - 2) + (n - 5*n + n)*(-4 + 6 - 3)*(5*n + n + 17*n) in the form i*n + q + o*n**2 and give o.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 11. Let z be 3\/(-1) - (h + -1). Let n(o) = o**3 + 6*o**2 + o + 2. What is the units digit of n(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, t: 3}. What is prob of sequence jttt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3097*u**2 - 28032*u?\nAnswer: 6194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5*d + 3*d + 0*d. Let c(q) be the third derivative of 11*q**4\/3 - 2206*q**2 - 2. Give n(c(a)).\nAnswer: -176*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 13*c + 27. Give u(-6).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y**(-3)\/y))\/(y**8*y))\/(y\/y**(-2)*y*y\/(y*(y**2\/y)\/y*y*y)))**(-2\/29) assuming y is positive.\nAnswer: y**(12\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 828196?\nAnswer: 2, 31, 6679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (475475\/836)\/455*-1*16\/15?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 137161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20.245 - -0.1.\nAnswer: -20.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 4*c + 24 = 0. Let n be c\/16 - 27\/(-12). What is the third derivative of -n*w**2 - 10*w**3 + 7*w**3 + 2*w**2 - 3*w**2 wrt w?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 476 + 169*z**3 - 84*z**3 - 87*z**3 - 2465.\nAnswer: -2*z**3 - 1989","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**4 - 2*r + 1. Let q be 6\/15 - 26\/(-10). Let i(u) = -1 - 4 + q + u + 3. Let b(k) = -i(k) + n(k). What is the second derivative of b(g) wrt g?\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**3 + 3*w**2 + w - 2. Let k be t(2). Let g = -1 - k. Let y = g + 4. Solve -i = -5*d + 2*d - y, -13 = -3*d + 5*i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((36\/(-52)*(-4)\/(-6))\/(164\/(-1066)))\/93.\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 1)*-1 + (-39)\/(-13). Suppose -7*z + 296 = -y*z. What are the prime factors of z?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, k: 2}. What is prob of picking 1 k and 1 g?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*k + 5. Suppose 5*m - 15 - 90 = 3*l, -35 = l + 2*m. Let y be ((-1)\/(l\/(-85)) - -5) + -3. What is the fourth biggest value in -6, k, 2, y?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0834642 and 0.2.\nAnswer: 0.01669284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 0*h + 3 - 4*h + 2*h - h**2 - h. Let w be i(-3). What is the second derivative of -2*x**4 + 0*x**w + 5*x**4 - x + 0*x**3 wrt x?\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 + 1.7. What is the nearest to -2 in v, 2\/3, 3\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10567238 + -10567212.700044. Let d = g + -25.3. Round d to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -569*y - 14973 = 144*y for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -281, -630, -1119?\nAnswer: -1748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 885.\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.31 + 86.31. Let t = 642534.8147 + -642620.81469902. Let s = t + f. Round s to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, 5, 680 in decreasing order.\nAnswer: 680, 5, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 17416 (base 11) to base 10\nAnswer: 24459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3 - 6. Suppose 0*y + o = y - 39, -23 = -y - g*o. What is the tens digit of (231\/y)\/(1\/10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -831 - -831. Which is the smallest value? (a) u (b) 8\/5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4589 is divided by 148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25143 is divided by 12560.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhhhnnnhnh. Give prob of sequence hh.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 2 = -3*c. Suppose -c*g + 40 = -3*g. What is the tens digit of (-4 - 0) + 8*g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 6 - 0. Let k be (-50)\/(-20) + z\/(-4). Sort 5, k, -13.\nAnswer: -13, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1004 (base 12) to base 11.\nAnswer: -1335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 150624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47044?\nAnswer: 2, 19, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/5)\/((-12)\/40). Let w(a) be the first derivative of 1 + 5\/2*a**v - 4*a + a**2 + 16\/3*a**3. Determine y so that w(y) = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42 - 3344\/80)*-205 + -12?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8703 from 0.19064.\nAnswer: 8703.19064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d + 2 + 0 + 0. Let w be i(6). Let s = 40 + -36. Put -5, s, w in decreasing order.\nAnswer: s, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3766744 and 157.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**2 - 3*b + 3. Let t(z) = 3*z - 3. Let x(l) = 4*l - 4. Let m(r) = 3*t(r) - 2*x(r). Let s(j) = -d(j) - 3*m(j). Let c(i) = i. Give s(c(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12213 - -130?\nAnswer: 12343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y - 128. Give n(43).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64.27 - 64. Let t = q + 2.73. Let g be 3 + (-3)\/(15\/11). Which is the biggest value? (a) 0 (b) t (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8481 - -19411. Is 16 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53426578?\nAnswer: 2, 31, 861719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 11*r**3 + 3*r**2 - 8. Let u(h) = 4*h**3 + h**2 - 5*h + 2. Let p(o) = -4*o**3 - o**2 + 6*o - 3. Let v(y) = -5*p(y) - 6*u(y). Give -3*a(x) - 8*v(x).\nAnswer: -x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of 131*n**2 - 21\/2*n**3 + 0*n + 7\/30*n**5 + 0*n**4 + 0. Differentiate s(b) with respect to b.\nAnswer: 28*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -210.9 + 211.2. What is the biggest value in 5, -0.1, k, -138?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1299 = 3*w + w + c, c = -5. Is w\/2 + -5 + 5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -78*b - 406. What is q(-5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55*i**5 - 756*i**3 + i**2 - 18*i - 264?\nAnswer: 3300*i**2 - 4536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29370 rounded to the nearest 1000?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of v**3\/6 + 469*v**2. Let j(s) = 2*s + 1. Calculate -j(x) + 4*n(x).\nAnswer: -2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 + 388554*o + 1942695.\nAnswer: 3*(o + 5)*(o + 129513)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**3 - 11*k**2 + 5*k - 5. Let d(b) = b**3 - b + 1. Let z(h) = -5*d(h) - m(h). Find the third derivative of z(u) wrt u.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20111, -20129, -20149, -20171, -20195, -20221, -20249?\nAnswer: -20279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -7*y**2 + 5*y + 5. Let t(q) = -3*q**2 + 2*q + 2. Let k(m) = -2*j(m) + 5*t(m). Let c(b) = -3*b**2. Calculate k(c(o)).\nAnswer: -9*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1508.3 + -1507.8. Which is the smallest value? (a) v (b) 0 (c) 7\/5 (d) -5\/9 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.7563 * 0.24.\nAnswer: -1.861512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*i - 5 = 0, -3*j = -3*i - 90. Let r = j + -28. Let k(o) = -66*o**3 + 3*o**2 + 5*o + 7. Is k(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4 - 1767*z**3 + 255699*z**2 + 1333827*z - 1587762.\nAnswer: 3*(z - 297)**2*(z - 1)*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10664, -10703, -10756, -10829, -10928, -11059, -11228?\n\"Answer: -v**3 - v**2 - 29*v - 10633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 9, -2*i + 12 = 3*y + 30. Let p be 3*y\/30*1. Which is the closest to p? (a) -0.4 (b) -1\/4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76330\/9 + 8518. Let g = m + -37. Suppose -2*z + z = -5*d - 5, -5*z + 25 = 3*d. Is g > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4362 is divided by 1918?\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 2503 - 3017. Let t = 2092 - x. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 4*z - 17 = 0, 0 = -4*d + d - 4*z - 23 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55*i**3*o**2 + 406*i**3 - i**2*o**2 - 839*i*o**2 + 37*o**2 wrt i?\nAnswer: 330*i*o**2 + 2436*i - 2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 4*u**2 - 7*u - 10. Determine c(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-9 + 5 + 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 19. Let l be k(9). Let d be (2\/5)\/((-1)\/(-35)). Let h = d - l. Solve -6*f + 4 = -c - 4*f, h*c + 2*f = -16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 n when two letters picked without replacement from {n: 1, l: 2, w: 7, e: 2, y: 2, r: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/10)\/((-78)\/20).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*p + 14*p + 15 - 21*p)*(7 + 2*p - 7) to the form b + a*p + i*p**2 and give a.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7429515 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14602 and 3890390?\nAnswer: 27232730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + -30. Let v = z + 64. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22100 + -11?\nAnswer: -22111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10010000211100 (base 3) to base 10\nAnswer: -1653975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.3 + 0.3. Let p = x - 2. Let l = 165 + -165.3. Which is the closest to 2\/5? (a) 1 (b) p (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16721216 and 4864?\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 31 = i, 3*o - 4*o + 71 = 2*i. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.5 + 2.5. Suppose 6 - 2 = a. What is the second smallest value in 3, k, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -1. Let o(n) = -7*n**2 - 22*n - 12. Let b(w) = o(w) + 2*y(w). Let t(u) be the first derivative of b(u). Differentiate t(a) with respect to a.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*x + 4035 = 0, -4*x - 3395 + 19567 = -4*p. Let r = p - -5690. What are the prime factors of r?\nAnswer: 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1721, 7159, 16317, 29195, 45793, 66111?\n\"Answer: 1860*f**2 - 142*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 0 - (-1 + -1). Let n be (1 + m)*7\/(-10). Let p = -37\/30 - n. Is p at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - 20. Let f = j + -10. Which is the second smallest value? (a) -0.1 (b) f (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - (1 - -12))\/((-5)\/15*6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8914 = -25*c + 186. Is 26 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 140 + 4. Is 26 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7655005 and -0.07.\nAnswer: -535850.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001716201 rounded to six dps?\nAnswer: 0.000172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12293 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1215 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.219 - -0.427. Let g = -4.354 - f. Let x = -1.88 + 2. Sort 5, g, x, -0.1.\nAnswer: g, -0.1, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1788840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 3)*(-3 - 4 + 4)*(-2*m**3 - 2*m**3 + 2*m**3).\nAnswer: 36*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 - 2*s + 13. What is the units digit of z(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7577 is divided by 149.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 5:37 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pknnnntttjjy. Give prob of sequence kj.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -36*n + 5. Let u(y) = -37*y - 8*y - 21 + 154*y - 4 + 11. Calculate 11*g(r) + 4*u(r).\nAnswer: 40*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -233551*t**4 + t**3 - 2*t**2 + 3124941*t?\nAnswer: -2802612*t**2 + 6*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20*20\/48)\/(155\/372)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -296 + 53*z**3 + 296 + z**2.\nAnswer: 53*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*3*(-3)\/(-81)*6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 - 2*t + 1. Let x = -16 - -22. Suppose x*u - 5*u + 9 = 0. Let m = u + 10. Give o(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 16 = 3*c, -c - c + 8 = 0. Suppose -2*q - d = -3*q. Calculate the remainder when q is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 3*o. Let w be a(-5). Let f be (6\/5)\/((-3)\/w). Suppose 3*n + j - 168 = 2*n, -2*n + f*j = -306. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(176) + (sqrt(176) + (sqrt(176)*2 - sqrt(176)) + 1 - sqrt(176)) - (sqrt(176) + 0)*-3)**2)*6.\nAnswer: 240*sqrt(11) + 26412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*m + 5. Suppose m*a - 3 = -d, 5*a - 9 = -3*d - 0*d. Solve a = 6*r - 2*r - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/3 - (1500\/18)\/(-2). Is 4 + -4 + 2 + x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 9:44 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 310*k**3 + 232*k**2 + 10*k - 5. Let t(p) = 155*p**3 + 116*p**2 + 6*p - 3. Let j(w) = -3*g(w) + 5*t(w). What is the third derivative of j(s) wrt s?\nAnswer: -930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 45 + 21 + 26*v)*(-6*v**3 - 13*v**3 + 3*v**3).\nAnswer: -416*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14569328 or 14569327?\nAnswer: 14569327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 85*x. Let q be f(1). Let n = 141 - q. Calculate the greatest common factor of 7 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -544*t = -55*t - 5064 - 3918 + 180 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -492012.\nAnswer: -1\/246006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 4 (b) -0.5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/388 and -67\/60.\nAnswer: 5820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 514*i**2*l**3 - 5*i**2*l + 15*i*l**2 + 14*i*l + 3*l**3 + 7*l**2 wrt i.\nAnswer: 1028*l**3 - 10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 0 - (-5 + 1) - -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/15*(-45)\/12*4\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, r: 4, m: 2, k: 3, d: 1, s: 1}. What is prob of sequence dr?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2752 is divided by (-3)\/(18\/(-172)) - (3 + 110\/(-33)).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/175*-20)\/(-1 - (-26)\/14). Which is bigger: 689 or c?\nAnswer: 689","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 26. Suppose h = -4, l - h - v = 3*h. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 262, 241, 220, 199, 178, 157?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 362? (a) 41 (b) 1\/3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-153982)\/20*25\/(-30). Let i = m - 6408. Calculate the common denominator of 61\/30 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 160 = k. Suppose k - 10 = 5*w. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -9 (b) -1\/5 (c) 5\/6 (d) 104\/5 (e) 3\/5 (f) 0.2 (g) -60\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -293*v + 36*v**2 + 646*v + 27 - 354*v to f*v**2 + s*v + x and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -16. Suppose -n*j + 1162 = -834. Suppose -2*r = -4*r + j. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 7*v**2 - 13*v + 6. Let y(s) = 4*s**2 - 6*s + 3. What is -3*r(b) + 5*y(b)?\nAnswer: -b**2 + 9*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-781 - -674) + (63 - 3).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -206712 by -25839.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/81 and 25\/80802.\nAnswer: 727218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 + 780*w**2 + 832*w - 9408.\nAnswer: -4*(w - 196)*(w - 3)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404038 is divided by 3338.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 20. Let s be (3 + j\/(-2))*5. What is the greatest common factor of s and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*z - 18, -z = 4*d - 15 - 3. Suppose b - z = -0. Suppose 13*c - b = 12*c. Calculate the remainder when c is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 66*o**2 - 4625*o + 360. What is m(70)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108466050?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12320 by 4.\nAnswer: 3080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 - 39 - 82 - -21?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (0 - 1) - 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/6)\/((-225)\/20). Let n = -12.9 + 9.9. Put y, n, 0 in ascending order.\nAnswer: n, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 544967626?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 79*g + 409. Determine m(-10).\nAnswer: -381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -7309 + 7309 + 3*q. Let y(k) = 2*k**2 + 9. Let v(c) = -c**2 - 4. Let t(u) = 9*v(u) + 4*y(u). Give t(w(l)).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5*w**2 + 0*w - 4 - 9*w + 6*w**2. Let x be f(10). Let a be 6*x\/20 - 2. What is the third biggest value in 5, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1765 divided by 353.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 223.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-5 - -2 - -4) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-7)\/((g**(-9)\/g)\/g)*g*g**(-8)*(g*g\/((g*g*g*g**(-1\/4))\/g))\/g assuming g is positive.\nAnswer: g**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1 + (-20 - 9) + (28 - 6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(260) - 2*sqrt(260)) + sqrt(260))\/(sqrt(100)\/sqrt(40)))\/(2*sqrt(450)*2).\nAnswer: 7*sqrt(13)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 9:44 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -261, -507, -739, -951, -1137, -1291, -1407, -1479?\nAnswer: -1501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*i**2*o**2 - 53186*i**2*o + 2*i**2 - 2*i - 11495*o**2 + 10*o wrt o.\nAnswer: -44*i**2 - 22990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = j - 0*j. Let m be (10\/j)\/((-4)\/28). Suppose -3*z + 27 = 4*k, 3*z - 5*z + 3*k + 1 = 0. Solve -z*g + 15 = -m for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -7 + 299 + -310 + (-2 + 4 - -2).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 660903000?\nAnswer: 2, 3, 5, 220301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z + 4. Let h = -7 - -11. Suppose 3*o - h*u - 11 = -0*o, o = 3*u + 2. What are the prime factors of w(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 12*l**5\/7 - 33*l**4 + 3*l**3 + 717*l**2\/7 - 633*l\/7 + 114\/7 = 0.\nAnswer: -2, 1\/4, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m - 1075. Let f(i) = 9*i**2. Calculate f(b(s)).\nAnswer: 81*s**2 - 58050*s + 10400625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-5*(sqrt(91) - (sqrt(91) - 2*sqrt(91))))\/(sqrt(84)\/sqrt(108)) - sqrt(91)\/(sqrt(448)*-2)*2).\nAnswer: -717*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 212562?\nAnswer: 212561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 7:48 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**3 + 84*g**2 - 2*g**3 - 85*g**2 + (-g**2 - g**2 + 0*g**2)*(-2*g + 15*g + 2*g + (2*g + 3*g - 4*g)*(2 + 0 + 0)).\nAnswer: -36*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3215 - -24?\nAnswer: 3239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 507 + -77?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/252 and 52\/144039?\nAnswer: 1728468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 u when four letters picked without replacement from tkukkuktktu.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3067502?\nAnswer: 2, 47, 32633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 769718 * 0.45.\nAnswer: 346373.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(121) - (-1*(sqrt(121)*3 - sqrt(121)) - sqrt(121)))\/sqrt(11).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gwwjrgrrjmgumjmumrgj. Give prob of picking 1 u, 2 g, and 1 r.\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 175.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t**3 + 8*t**2 + 11. Calculate the least common multiple of m(-3) and 174.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 25*z**2 + 3*z + 57. Let d be o(-25). Let h be 1*12\/d + (-104)\/(-3). What is the greatest common divisor of h and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9858 and 0.01.\nAnswer: 9858.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1735 - 1435. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 4*v - 6)*(5*v**3 + 2*v**2 - 2*v**2) + 0 + 4*v**4 + 0 + 13*v**4 + 2*v**4 - 3*v**4 - 3*v**4 + 2*v**4 - 2*v**4.\nAnswer: 33*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -16*f - 121. Let n(g) = -18*g - 132. Let t(w) = -12*c(w) + 11*n(w). Let r(j) = -12*j**2. Give t(r(v)).\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*o**3 + 10 + 185*o**2 - 443*o**2 + 258*o**2.\nAnswer: 16*o**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2342, -2347, -2352, -2357, -2362, -2367?\n\"Answer: -5*o - 2337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 772 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 45*z. Let n(l) = 77*l**2 + l. Calculate n(x(r)).\nAnswer: 155925*r**2 + 45*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 301 or 3324\/11?\nAnswer: 3324\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 410420 (base 6) in base 12?\nAnswer: 16a10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -599 + 598. Which is greater: c or -1\/727?\nAnswer: -1\/727","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2384688.3 months?\nAnswer: 19872.4025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 4:45 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 89.51968 kilograms?\nAnswer: 89519680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 10 = -n - 2*a, n + 5*a = 22. Let y(q) = -151*q - 753. Let m be y(-5). Solve 3*u - m*l + 10 = -n*u, -u = -2*l + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5035298239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 + 37. Let d = -0.16 + -2.84. Let p = -3.08 - d. Put p, a, -0.5 in descending order.\nAnswer: p, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 5 + (7 - 9) + -5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 0 + 21*s**3 - 6*s**3 + 27*s**2 - 17*s**3 to m*s + i*s**2 + v + n*s**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ocoo when four letters picked without replacement from {o: 8, c: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/11 + 17030*c\/11 - 1165548\/11.\nAnswer: -2*(c - 8446)*(c - 69)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -9. Suppose t = 4*f - 3*f. Let s(d) = 3*d**2 - 2*d**f - 5*d**2 - 1 - d. Calculate s(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/27*3*3. Let o(d) = 5*d + 0*d - d. Let k be o(t). Solve w - 8 = -k for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 at least 10\/337?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, t: 5, l: 3, n: 6, b: 2}. Give prob of sequence bt.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/72 and 115\/516.\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 236743200 a multiple of 4192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 42\/84*10*-1. Put y, -14, -1, 45 in increasing order.\nAnswer: -14, y, -1, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + y - 2*y)*(1 + 3 - 5)*(0 + 1 - 3) + 18218 + 204*y - 18218.\nAnswer: 208*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c - 4*c - 25*c.\nAnswer: -29*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*a + 1419 = 0, -d = a + 4*a - 336. Let p(c) = 23*c + 847. Let v be p(-36). Calculate the greatest common factor of d and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-169)\/39)\/(-9*11\/27)?\nAnswer: 13\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1121 - -502. Is k\/(-4) + 1\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -137*s**2 - 61814*s - 152006360 wrt s.\nAnswer: -274*s - 61814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -465?\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4 = 4*i, -i - 2 = -4*z + 4. Suppose -z*p = -p + 5. What is the closest to 1 in p, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 5*y**2 + 6*y + 7. Let x be a(-4). Is (18 + -11)\/(x\/(-853)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u + 5. Let r be c(5). Suppose n = -4*n. Suppose n*x + 3*x = r. Solve 3*f + 0*h - h + 7 = x, -3*h - 6 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1404 and 39936.\nAnswer: 359424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 - 3*g**2 + 4*g**2 + (-2 - g + 2)*(-5*g + 3*g + 4*g))*(-4 + 3 + 0)*(-3 + 3 + 1).\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2897156 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -109*i**2 - 29*i**3 - 2*i**2 + 30*i**2 - 14583*i - 71*i**2 wrt i.\nAnswer: -174*i - 304","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 3*b + 13 = -2*d, -2*d = 4*b - 4. Let p be ((-1)\/3)\/(d\/(-72)). Suppose -4*w = -p*w + 42. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u + 5. Let k(s) = 2*s - 4. Let o(b) = -5*k(b) - 4*n(b). Let m(a) = -2*a. Calculate m(o(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 4*x. Suppose 2*f + x = 6. Suppose -2 = y - 5, 0 = -m - f*y + 110. List the prime factors of m.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-14))\/((-73890)\/8689464).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 631*i + 633*i - 1316*i.\nAnswer: -52*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (26*v**2 + 60*v**2 + 61*v**2)*((4*v - 2*v + 0*v)*(3 - 3 + v) + 2*v**2 + 7*v + 16 - 16) as p*v**4 + n + y*v**2 + c*v + l*v**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-7 + 1 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 2)*(-6311*t - 21886*t + 8789*t) to g + b*t and give b.\nAnswer: 38816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*w + 6*w - 17*w in the form t*w + j and give t.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1154599*x**4 - 85*x + 765 wrt x.\nAnswer: 13855188*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 450*67*(-68)\/(-22780)*(-2)\/66.\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-546)\/(-104))\/(1\/(-72)). Let u be 44\/286 + (z\/(-26))\/3. Solve 0 = u*q + 5 + 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*m**4 - 65*m**3 + 30*m**2.\nAnswer: -5*m**2*(m + 2)*(8*m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26.44 + -0.06. Let x = u - -25. Let v = -1.4 - x. What is the closest to 1 in v, 0.5, -0.02?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**4\/15 - 226*r**3\/15 + 460*r**2 = 0.\nAnswer: -138, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2726 minus 0.046?\nAnswer: -2726.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/8, -3, -7\/137?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 836073*b**2*d**3 - 4*b**2*d**2 - b*d**3 + 7*b*d**2 + 3*b*d - 4*b + 11425*d**3 wrt b.\nAnswer: 1672146*d**3 - 8*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -6*t + 8*t - 1065, -2*k - 3*t + 426 = 0. Calculate the remainder when k is divided by 56.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 < 318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 13*j - 2039. Let y(g) = -7*g + 1024. Give -3*s(i) - 7*y(i).\nAnswer: 10*i - 1051","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (((-447)\/(-12) - 4) + -1)*17\/(-204) and 508\/120 + (-1)\/3.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -4*x - z, 17*x = 13*x - 5*z - 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -307 + 225. Let o be -1 + (-1 - 5) - (1 - 4). Put x, o, 4 in increasing order.\nAnswer: x, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 11:03 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 77 = 3*m, -4*m - m + 120 = 5*y. Let r be ((-10)\/(-4))\/(34\/(-68)). Let j(a) = 3*a**2 + 13*a + 38. What is the remainder when j(r) is divided by m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -6 - 3) + ((-1102)\/57)\/(-58).\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -9180*b + 201955. Give n(22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3004234829 take away -6.85?\nAnswer: 3004234835.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 951945 to the nearest integer?\nAnswer: 976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 914983 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-18))\/((-4)\/3 - 0). Let t = 5 - 10.6. Let g = -6 - t. What is the closest to w in g, 0.2, -1\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + 1)*-4 + sqrt(243) + 4)*3 - (((sqrt(243) + -1)*2 + sqrt(243) + (sqrt(243) - (sqrt(243) + 2 - sqrt(243)))*-5)*-2)**2.\nAnswer: -4144 + 1071*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -240 - -3126\/13. Factor 0 - 2\/13*v**2 + l*v.\nAnswer: -2*v*(v - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4517354 + 10267354. Round x to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124215 (base 7) to base 11.\nAnswer: 16392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 7:15 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, -63, -295, -745, -1485, -2587, -4123?\nAnswer: -6165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 + 24*x + 11. Suppose -4*q = 312 - 268. Let n be z(q). Which is smaller: n or -68\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nlollol. Give prob of sequence oo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2083, 4161, 6235, 8305, 10371?\n\"Answer: -2*u**2 + 2084*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-56))\/(2067\/(-8268))\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*w + 11. Let d = w - 21. List the prime factors of ((-88)\/d)\/(16\/40).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 547166043?\nAnswer: 3, 20265409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -198 * -0.2\nAnswer: 39.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -146103 divided by 93\nAnswer: -1571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2)*(5*w - 3*w - 3*w)*(-4257*w**2 - 4861*w**2 + 582*w**2) in the form r*w**3 + l*w + u*w**2 + t and give r.\nAnswer: -17072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**0*q)**(30\/13)*q**(-3\/8)*q\/q**6)\/(((q\/(q\/((q\/q**6*q)\/q)*q))\/q**(1\/3))\/(q*q\/(q\/q**(3\/4))*q**(1\/3)\/q)) assuming q is positive.\nAnswer: q**(2077\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -708*a = -372*a - 353*a + 580397. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 - q**3 - 3*q**2 - 2*q**4 + 87 - 84 to the form r*q + j*q**3 + d*q**2 + t*q**4 + c and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*q + 5*q = -15*q - 14748. What is the remainder when q is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155300588 to the power of 1\/4, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 92241.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51645 is divided by 98?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2759378 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -5*o + 17, 15 = -3*s - 2*s for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2771 or 2761?\nAnswer: 2761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/4)*z)\/z**(1\/5)*z\/(z**(-7)*z*z)*z**2 assuming z is positive.\nAnswer: z**(171\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 116947317 to the power of 1\/3, to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12378824 a multiple of 233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -70, -74, -78?\n\"Answer: -4*p - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 5*z + 9. Let q = 88 + -87. What is the remainder when o(-7) is divided by q\/(-6)*-1*2*27?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 255 or 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*i**2 - 27*i**2 + 5*i**2)*(i**3 - 3*i**3 + i**3).\nAnswer: 51*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/((-2)\/1))\/(-21*9\/126).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 69600 divided by -5\nAnswer: -13920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 + 3*m + 3. Let t be j(-6). Let y = t - 1. Let w = -36 + y. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17975717.\nAnswer: 179, 233, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/3*6\/(-12). Sort -5, -2, l in ascending order.\nAnswer: -5, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4837 - -4836. What is the third smallest value in d, 0, -27\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100 - 0 - (-1871168)\/(-18684)?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00456 rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 6*j**2 + 3*j + 12. Calculate g(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 150586 and 412.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39930 and 16618470?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3513*z**2 + 3441*z + 72.\nAnswer: -3*(z - 1)*(1171*z + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0216786 rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.89282 micrograms to tonnes.\nAnswer: 0.00000000000889282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 23*a + 32. Let x(j) = -69*j - 95. Let r(b) = -7*i(b) - 2*x(b). What is the hundreds digit of r(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*v - 19*v + 36. Let o = -10 + v. Sort o, 3, -1 in increasing order.\nAnswer: -1, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 11:47 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -17*g**2. Let f(v) be the second derivative of 1\/2*v**3 + 8*v + 0*v**2 + 2. Calculate u(f(r)).\nAnswer: -153*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -110 - -125. Suppose -3*a + v = 5*u, -12 = -18*a + 23*a - 4*u. Solve 0 = -2*z - a*z + 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tblddlbbdbbbl. What is prob of picking 1 l and 1 b?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**2 + 158*s - 872. Calculate u(6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.01 - 0.31. Let u = -5.819 - -0.019. Let m = u - -6. Which is the closest to m? (a) 1\/5 (b) d (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55734, 111487, 167246, 223011, 278782, 334559?\nAnswer: 390342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-29)\/9 + 2\/9. List the prime factors of c + 2 + -4 + 15.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.5 + -0.5. Let v = 2 + o. Let z = 15.02 + -4.02. Sort v, 3\/8, z in decreasing order.\nAnswer: z, 3\/8, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 6*q**3 + 90*q**2 - q + 2*q**3 - 3*q**4 - 91*q**2 to the form z*q**2 + w + j*q**4 + x*q**3 + o*q and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -0.1. Let m be (-1)\/2 + (-10)\/(-15). Let r = -442 + 2208\/5. What is the third smallest value in r, m, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by 55?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 15*q**2 - 5*q + 15*q**2 - 2 - 9*q**2 + 2*q + 2*q. List the prime factors of b(-3).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 14*u + 42. Determine m(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-4)*(-5)\/6?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 1 - -2)\/(-9)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 135899*m + 151858 wrt m.\nAnswer: 135899","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 = 0, 2*w + 2*i - 14 = 4*w. Is w at least as big as -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 5*v + 7. Let y(s) = -6*s - 6. Calculate 3*w(r) + 4*y(r).\nAnswer: -9*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -327*r**3 + 46815*r**2 + 88733771*r.\nAnswer: -1962*r + 93630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20.2 + -20.1. Let m = 46 - 41.4. Let n = m + -5. Put 2, c, n in decreasing order.\nAnswer: 2, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 5*t + 0*t)*(-6*t + 3*t - t)*(1 + 0 + 0).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0016602972 rounded to 4 dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8\/1641 - -3194\/18051. Let d(v) = -5*v - 3. Let m be d(-3). Let f be ((-2)\/16)\/((-2)\/m). Which is the nearest to f? (a) -2 (b) i (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -44, 102, -0.0584?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 2. Let q = -2 + p. Let r(h) = -2*h**2 - h. Let v be r(-1). What is the nearest to v in 4, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 1\/6 (b) -2\/7 (c) -0.025\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -5*h**9\/3024 + h**6\/120 - h**3\/3 - 3. Let f(x) be the third derivative of o(x). Find the third derivative of f(y) wrt y.\nAnswer: -300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182 = 133435*l - 133448*l for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 4*c**2 - 2*c + 2. Let q be b(3). Let a be 1 + (8\/2 - q). Suppose a + 6\/7*z - 2\/7*z**2 = 0. What is z?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*b + 15 = -53*b, 2*b = 5*v - 56. Sort v, -46, -2 in descending order.\nAnswer: v, -2, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2\/7783, -1\/3, -27, -4\/3, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 12*x + 51. What is the hundreds digit of k(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -369019*u**3 - 343931 wrt u?\nAnswer: -1107057*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23337 (base 8) in base 7?\nAnswer: 41004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 + 6*u**2 - 4*u**2 + 7*u**2 - 19*u.\nAnswer: 9*u**2 - 19*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1668858*o - 1147652?\nAnswer: -1668858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-2))\/((-11)\/8 - -1). Suppose 19 - 7 = k*d. Solve d*u + 10 = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 7*t - 15. Let m be x(8). Let p be (m + 9)*(0 - 1)*-1. Solve -p*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -21*z**3 - 11*z**2 - 11*z - 16. Let x(f) = -4*f**3 - 2*f**2 - 2*f - 3. Let b(m) = 2*q(m) - 11*x(m). What is the derivative of b(a) wrt a?\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 1)*35670\/(-2583) - ((-2)\/2)\/3?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 5. Suppose 3*z - 78 = 3*w, 2*z - 57 + 3 = x*w. Calculate the highest common divisor of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31131103 (base 7) to base 11.\nAnswer: 1524a47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/301 + 14779\/4515. What is the common denominator of t and 64\/27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -11\/120*x**6 + 0*x**4 - 44\/3*x**3 - 17*x + 2*x**2 - 1\/20*x**5 + 0. Differentiate a(k) with respect to k.\nAnswer: -33*k**2 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/5273248 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -42 (c) 3 (d) 5\/14 (e) 1\/3 (f) 522\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 4, -4, 28613, 0 in decreasing order.\nAnswer: 28613, 4, 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2526595 take away -3?\nAnswer: 2.7473405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*j = 108*j + 45*j + 976 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 4 + 5 + 0*a + (-3 + 4 + 1)*(-3*a - a + a))*(-2 + 2 - 3).\nAnswer: 24*a - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -194*s + 5*j - 2*j + 779, 197*s + j = 200*s - 13 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/g**(-7\/10))\/g*g)\/g**5)\/(g*g\/g**1*(g*g**(1\/3)*g)\/g*g) assuming g is positive.\nAnswer: g**(-169\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -8*n - 3. Let d(s) = 2*s + 11. Let o be d(-9). Calculate the remainder when x(o) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -513 = -512?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 + 10*d - 60. Give h(-11).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -70, -133, -214, -313, -430, -565?\nAnswer: -718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 8 + 80*t - 52*t.\nAnswer: 28*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 49*f + 124. Does 15 divide x(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 963.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 11, -2, -21?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - g**2. Let q(x) = -19*x**3 - 6*x**2 - 4*x + 25. Let y(c) = q(c) - 6*w(c). Find the first derivative of y(l) wrt l.\nAnswer: -39*l**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 385 divided by 56\nAnswer: 55\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 10, v: 4}. Give prob of sequence vvx.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/77 - (15 - 1861056\/123200).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 4*q**2 - 8*q + 3. Calculate l(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 + -109. Let y = p - -222. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*c + 0*c - 8*c + 0*c.\nAnswer: -23*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**4 + 1 - 27*v**3 + 3*v + v**4 - v**2 + 26*v**3 in the form z*v**2 + a*v**4 + w + t*v**3 + x*v and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/21*(-28 + 42). Let g(t) = 4*t + 10*t - 19*t + f*t + 2*t. Let w(k) = -k - 16. Give w(g(z)).\nAnswer: -z - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, -5, -25, 111.\nAnswer: -58, -25, -5, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 10*q**2 + 11*q + 7. Let t be v(5). Let u be ((-4)\/14)\/((-27)\/t). Which is the second biggest value? (a) u (b) -0.3 (c) -0.5 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79619*p + 79623*p + 39 = n, -8*n - 3*p = -382 for n.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**2. Let g(x) be the second derivative of -1438*x**4\/3 + 75*x + 12. What is k(g(o))?\nAnswer: 99256512*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 272 = -4*z, 4*z - 5*p = 172 + 132. What is the remainder when 18082 is divided by z?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.024958 rounded to 3 dps?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2800\/18 + 1 + (-2444)\/(-5499) is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -720562, -1441124, -2161700, -2882296, -3602918, -4323572?\nAnswer: -5044264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -354 (b) 1 (c) -2 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 9:44 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 4*z**3\/3 - 10*z - 13. Differentiate k(l) with respect to l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23881 divided by -11.\nAnswer: 2171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 12 = -4*z, 6*z = c + 24 - 52 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7717624826 to the power of 1\/2, to the nearest integer?\nAnswer: 87850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480 = c - 17*c. Let w = -21 - c. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134.88396 months in decades?\nAnswer: 1.124033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 96*l - 96*l - 23*l**2 + 5*l**2 - 3*l**2 - 3*l**2 + 5*l - 5*l - 2*l**2 - l + 2*l**2 + l + (2*l + 3 - 3)*(-3*l - l + 5*l) + 4*l**2 - 2*l**2 - l**2.\nAnswer: -21*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 s, and 1 z when three letters picked without replacement from {s: 3, z: 2, q: 13, i: 2}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 389*y + 2. Suppose 4*j - 4*o = 72, j = 3*j + 5*o - 29. Let g = -16 + j. Is a(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 1448.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -c**2 - c + 59. Suppose 39 - 12 = 9*r. Give f(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 374 and 1394.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o + 5 = -15*o. Suppose 3 = -r + 5*x, -o*x - 7 = -3*r + 4. Let s be 142\/8 - r\/(-28). Solve 4*j = s - 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -9 (b) 2 (c) 5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1512434793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r - 16 = 18*r. Let w(y) = -7*y - 53. Let j be w(r). Which is the nearest to 1? (a) 8 (b) j (c) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -p + 31. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*u - 64*u = -1586 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/10 + (-53151)\/15. Let q = w + 17772\/5. Let i = -89291\/30 - -8957\/3. What is the common denominator of i and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, u: 1, y: 1, s: 2}. Give prob of picking 1 y, 1 u, and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 570 = 2*m. Suppose m = 3*y + 18. Suppose h = -h + 3*l + y, -l = 3*h - 48. Does 16 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(363) + (sqrt(363) - (sqrt(363) + 0)) + -4)*-1 + 0.\nAnswer: -11*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 14) in base 2?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 78 + -168. Is x at least as big as -91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-37 + 13 - 58)*(0 + i + 0) - 4*i - i + 4*i + i + 5 - 5 to g + q*i and give q.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2304305.\nAnswer: 5, 71, 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l - 3. Let z(h) = -2*h - 14. Suppose 5*s - 2*u = -36, -2*s + 5*u - u = 24. Let t(x) = -2*x - 12. Let o(j) = s*z(j) + 7*t(j). Calculate q(o(g)).\nAnswer: -4*g - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-84))\/((-22)\/36*1\/(-2))\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 - 0.3. Let f = 0.033641 - 67.933641. Is a not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i**(-2)\/i)\/i*i)**(1\/39)\/(((((((i*i**(3\/2))\/i)\/i)\/i)\/i*i)\/i)\/(i\/i**(-15))) assuming i is positive.\nAnswer: i**(1363\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12388, 49546, 111474, 198172?\nAnswer: 309640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a - 12. Let r be x(11). Let o(t) = -185*t**3 + 3*t**2 + 3*t + 1. Does 32 divide o(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6 and -20960.8.\nAnswer: -20954.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a6 (base 11) in base 15?\nAnswer: -443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 9:39 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l**(-4\/7))*l*(l\/(l\/l**4))\/l)\/(l**1)**3 assuming l is positive.\nAnswer: l**(18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 2 + 1 + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 40466.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1312 - -1576. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 123*q + 28 = -131*q, q - 13 = -k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1, 2, -95, 19.\nAnswer: -95, -1, 2, 7, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61778827?\nAnswer: 11, 149, 37693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 9 = 11, -5*k = 3*d + 30 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 26*o + 71. Suppose -28 = -5*p + 12. Calculate the least common multiple of h(-23) and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/21 + 482*o\/21 + 1900\/3.\nAnswer: -2*(o - 266)*(o + 25)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*h - 14*h - 73 = -3*f, 0 = -2*f + 4*h - 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21.4 + 21. Which is the closest to -10? (a) 3 (b) m (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26*f**4 + 26 - 2*f**4 + 31*f**4 wrt f?\nAnswer: 220*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21618 times 740?\nAnswer: 159.9732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2105664 - 2147777099\/1020. What is the common denominator of y and 2\/11?\nAnswer: 11220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, k: 2, u: 1, c: 2}. What is prob of picking 1 u, 2 k, and 1 y?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1979178 by 1979178.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -462*o + 3. Let p(t) = -463*t + 4. Determine 3*k(g) - 2*p(g).\nAnswer: -460*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8806383 and 11371.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 - 13. Let k be ((-18)\/c)\/(2\/10). Let l = -3 - k. Solve -3*x + 15 = l*d, -3*d + 19 = 4*x + x for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1518067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -w + 4*w - 15*w - 2 in the form k*w + t and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1038 and 226976.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 182*h**3 + 109*h + 4. Let l(g) = g**3 + g - 1. Let r(s) = -a(s) - 3*l(s). What is the second derivative of r(q) wrt q?\nAnswer: -1110*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101 + 0*y**2 + y**2 - 101.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 449.7617g to nanograms.\nAnswer: 449761700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 12*x**4 - 9*x + 3*x**3 - 10*x**4 - 2*x**3 + 1 as a*x**3 + y*x + k + s*x**4 + l*x**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1120, 942, 644, 226, -312, -970?\n\"Answer: -60*q**2 + 2*q + 1178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, g: 7, f: 1, r: 2, k: 3}. What is prob of sequence kg?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 1. Let m(a) = 7*a**2 + a - 1. Let h(w) = m(w) + u(w). What is the second derivative of h(q) wrt q?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 40*j + 120. What is i(79)?\nAnswer: -2961","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 105025.26 to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 56\/(-6)*(12420\/161)\/(-30)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (11 + -10)\/(-1*(-2)\/4). Put 1, -5, n, -7 in decreasing order.\nAnswer: n, 1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5497253 and 4113?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11210110022111021022 - -10?\nAnswer: 11210110022111021102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h + 21415016 = -5*b + 14*h, -2*b - 5*h = 8565980. Round b to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - w - w = 2, -x = -w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t + 1. Let k be b(-5). Let h be ((-28)\/35)\/(6\/(-15) + 0). Suppose -3*s = h*g + 1, -5*s = g - k*g - 15. Sort g, 4, 5 in increasing order.\nAnswer: g, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-8 + (12 - (-11 - -9)) + -9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/3 + 295184*s**2 - 590366*s + 885548\/3.\nAnswer: -2*(s - 442774)*(s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1200 is divided by 304.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 13*n + 12. Let p be v(-12). Let w(t) = 7*t - 2*t**2 + p*t - 7*t. Let k(y) = 770 - 770 + 38*y. Give k(w(f)).\nAnswer: -76*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 8:53 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*v - 5466. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -623*n + 604*n + 284810. Does 18 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - u - 2 = 0, -3*u = -w - 0*u - 14 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(0 + 0 - -1). Is (-96)\/c + 2 + -1 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + x**2 + x - 10. Let a(t) = t - 12. Let i be a(6). Let m(j) = j + 6. Let u be m(i). Determine g(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31 + 170*t + 31 to s*t + z and give s.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30444 a multiple of 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 503*p + 507*p - 1007*p + 240*p**2 to the form k + q*p**2 + t*p and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -501, -47, -11 in decreasing order.\nAnswer: -11, -47, -501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22912257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 2 = 2*l. Let x = -7 + 5. What is the nearest to -1 in l, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 142 - 143. Which is the smallest value? (a) -20 (b) y (c) 0 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, k: 3, d: 5}. What is prob of sequence kkd?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -15*(16\/130)\/(-4). Suppose 15 = 2*y + 3*y. Suppose -3*n - 3*t = 0, 0 = -4*n + t + y*t - 8. Are n and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/5 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-29)*v)\/(v*v\/(v\/v**(5\/6))) assuming v is positive.\nAnswer: v**(-179\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1024304*m**3 + 108194*m**2 + m + 1.\nAnswer: 6145824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + 3a?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 * -67772.\nAnswer: -1084352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4136\/64 + (-9)\/(-24). Let k(s) = -63 - 2*s + 35*s + t. What are the prime factors of k(6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 5*y - 6, -6 = t - 0*y - 2*y. Let f be t\/(-1 - (-1 + 2)). What is the closest to -1 in f, 4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.5, -34, 10\/11, -20?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41977477 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*a - 65*a + 175 - 45*a**2 + 37*a**2 as v*a + o*a**2 + g and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245) + -4 + sqrt(5) + (-4*(sqrt(5) - (-3 + sqrt(5))))**2 + sqrt(5).\nAnswer: 9*sqrt(5) + 140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 107.61 * -0.73\nAnswer: -78.5553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16453 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, i: 2}. Give prob of picking 1 b and 1 i.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7955590 divided by 685\nAnswer: -11614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 5*s + 20. Suppose 2*h - 3*h + 4*u = 12, s*h + 5*u = 15. Suppose h*a + a - 4 = 0. Solve i = -a*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 7*q - 70. Suppose -103 = -r + n, -5*r = -2*n - 2*n - 510. What is the greatest common divisor of r and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13 and 67?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 308*a**3 + 1548*a**2 + 1272*a + 32 = 0.\nAnswer: -4, -1, -2\/77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 424 is divided by 37?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-7)*(-131 + 24\/(-8)). Let m = 154 + j. Which is the smallest value? (a) m (b) 2\/3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(720)*-2 - sqrt(720)) + 1 - (2*(sqrt(720) + sqrt(720) + 0) - sqrt(720) - ((0 + sqrt(720) - sqrt(720)) + -1)).\nAnswer: -72*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*-2*sqrt(187))\/(-6*(sqrt(11) - sqrt(99)*-1)).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (-3)\/(-9)*6. Suppose -s + 133500000 = -q*s. Round s to the nearest 1000000.\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**2\/7 - 5*d\/7 = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -12754099, -5 in increasing order.\nAnswer: -12754099, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**4 + x**3 - x**2 + x + 1. Let h(v) = -7*v**4 - 3*v**3 + 6*v**2 - 3*v - 3. Let k(d) = -h(d) - 3*u(d). Find the third derivative of k(p) wrt p.\nAnswer: 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 1 + 4 + -6 + 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -23. Suppose w - i*w + 65 = 0. What is the highest common factor of 117 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4698 and 117126?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, r: 2, m: 7, h: 1, o: 8}. What is prob of sequence rrho?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 2. Let v(x) = 3*x - 2*x - x**2 - 1 - x**2. Determine v(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of o**4\/12 - 7*o**3\/6 - 5*o**2\/2 + 4*o. Let s be l(7). Let w(f) = 7*f**2 + 7*f - 3984 - 3986 + f**3 + 7971. Calculate w(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228856725?\nAnswer: 3, 5, 31, 10937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*l + 2*l. Let b be 21\/2*(18 + l). Let t = -66 + b. What are the prime factors of t?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96327 at most as big as 96322?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21824 + -21824.014317. Round z to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**6\/6 - 31*q**4\/12 + q**3\/2 - 21*q**2 - 597*q. What is the second derivative of x(y) wrt y?\nAnswer: -60*y**2 - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 3, 4, 7, 12, 19, 28?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4.125 (b) 1 (c) 0.3 (d) 31 (e) -1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - f - 171 = -6*f - 127, 72 = -2*l + 2*f for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**3 + 12*l**2 + 6. Let i be m(6). Suppose i*y + 20 = 10*y. Suppose y*v - 4*c = 149, -2*v - v + 2*c = -91. What are the prime factors of v?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z. Let l be m(-3). Suppose -n + 2 = -l*n. What is the remainder when (2\/n)\/(6\/(-63)) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 12 = -z, 3*z - 7*z + 12 = 2*d for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 591.6397mm to micrometers.\nAnswer: 591639.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (48\/9)\/((-7)\/(-12)). Which is smaller: k or 10?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54 - -54.73. Let z = g + -0.23. Which is the third biggest value? (a) z (b) -3 (c) -1 (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/7))**(1\/10)*p**(3\/2)\/(p\/(p\/(p**(9\/2)*p*p*p))))**28 assuming p is positive.\nAnswer: p**(-844\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**3\/3 - 48410*s**2\/3 - 13081616*s\/3 - 878874376\/3 = 0.\nAnswer: -134, 24473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of b**6\/30 - 5*b**4\/24 - 5*b**2\/2 - b. Let s(w) be the first derivative of z(w). Find the second derivative of s(j) wrt j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -259 - -256. List the prime factors of (-30)\/(34\/(-10) - d).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 123*a**2 - 6 + 4 - 409*a**2 + 2 - 1 as g + f*a**2 + v*a and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -7*k**6\/40 - k**4\/8 + k**3\/3 - 35*k**2. Let d be f(1). List the prime factors of (-742)\/(-18) - (-1 - d\/18).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 2509, -2666, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h. Let u be w(5). Let v = -7661\/11 + 697. Find the common denominator of v and ((-10)\/4)\/(u - -4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 88448112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -6*h + 948. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12584700 divided by -93220\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 147*b**2 - 455*b + 759. Let o be f(150). Sort 7, -1, 2, 1, o in increasing order.\nAnswer: -1, 1, 2, 7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1133*l - 1110*l - 368382 = -1011*l + 2527*l for l.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -232?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 25. Let v(q) = -7*q**3 + q**2. Give v(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 4*(-12)\/(-16). Suppose -3*o + t*o - 8 = 0. Suppose 26 = 5*m - 3*v, 34 + 9 = o*m + 5*v. Sort m, 0, -4 in descending order.\nAnswer: m, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(294\/63)*(-3)\/27)\/(2\/177)?\nAnswer: -59\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7835, -10820, -13805, -16790, -19775?\n\"Answer: -2985*q - 4850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2707 - 2693. Calculate the least common multiple of 2 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(1872)*1.\nAnswer: 3 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 16*s**2 + 15*s - 11. Let b be f(15). Let l(m) = -2*m - 18. Let p be l(b). Suppose -11*q + 28 = -p*q. Solve -6*i = -4*i - q for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -927, -3721, -8375, -14889, -23263, -33497, -45591?\nAnswer: -59545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 3*m**5\/5 + 3*m**4\/2 - 3*m**3 - 12*m**2 - 12*m + 4777. What is f in q(f) = 0?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 610218945, 610218944, 610218943, 610218942, 610218941, 610218940?\nAnswer: 610218939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 421*o - 3. Let r(g) = 2113*g - 18. Determine 2*r(f) - 11*t(f).\nAnswer: -405*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6 and 156.9.\nAnswer: -94.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 201520 divided by -4823?\nAnswer: -201520\/4823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 104624, 104627, 104630, 104633?\n\"Answer: 3*q + 104621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 266742*l*m*z**3 - 24*l*z**2 + 6*l*z + 3*m**2*z**3 - 3860*m**2*z wrt z?\nAnswer: 1600452*l*m + 18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3597\/23 - 71450\/207. Let z = -189 - r. Let k = 4364 - 4360. Put 2\/5, z, 1\/4, k in ascending order.\nAnswer: z, 1\/4, 2\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*b + 18. Let s be (3 - -2) + 4*(-14)\/8. What is the third biggest value in s, b, -5\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/4731819 and 133\/41736.\nAnswer: 37854552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 17763*g + 139*g**2 - 8878*g + 1 - 8894*g in the form o*g**2 + w + i*g and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - 21. Let u = -44 - a. Suppose -2*l + 24 = -u*p, -l - l + 20 = -5*p. Solve y - l = -2*j + 5*j, 0 = 5*y for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-385)\/40 + (-6)\/16. Is (5\/(-3))\/(c\/24) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o. Let g(b) = -b. Let a(x) = -10*g(x) + 2*r(x). Let y(p) be the second derivative of 0*p**3 + 0 - 1\/12*p**4 + 0*p**2 - 7*p. Give y(a(w)).\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -5*y, 2*y = -3*p - 0*y + 52. Calculate the remainder when 97 is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -107217 or -107214?\nAnswer: -107214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 93.3 - 87. Let n = -0.3 + d. Let l = n + -6.5. Round l to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n + 2. Let r be s(7). Let p = r - 9. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 253 and 207385158?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 10*z + 12. Let j be m(-9). Calculate the highest common factor of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*a + a**3 + 9*a**5 - a**3 + 26*a**5 wrt a?\nAnswer: 700*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(252) + 2 + sqrt(252) + -2*1*sqrt(252))*-6 + 3)**2.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 3*u + 8 = 0. Suppose 4*v - 3*v + u*g = 13, 5*v + 4*g - 41 = 0. Solve -v*t - 2 = 2*f + 5, 0 = 2*t + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45295 = -2*x + 3*c + 23419, -5*x = -c - 171811. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 447\/(-21) + (-4)\/(-14). Suppose -3*k = -70 - 32. Let v = k - i. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*t - 2*t + 3 = 0, -3*y + 11 = t. What is the smallest common multiple of y and 602?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 66297, 132591, 198881, 265167, 331449?\n\"Answer: -2*o**2 + 66300*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -22. Suppose -4*m = -4*a, r*m - 4*m - 12 = -2*a. Solve m*v + 5 + 3 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 727915906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36972*m**2 - 37*m*p + 10*p + 824634 wrt m?\nAnswer: -73944*m - 37*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y - 14 - 5*y + 14.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9619\/16 - 602. Let x = 5626873\/45452 + -105\/4132. Let k = -119 + x. What is the common denominator of k and d?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11952052 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3804 + 3798. Sort -1\/28, 3, i in descending order.\nAnswer: 3, -1\/28, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 + 20 = 32*h. Let f be 4\/(-14) - 8\/(-126). What is the second smallest value in h, f, 0, 0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n**2 - 12*n - 4. What is the remainder when g(-6) is divided by 44?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 114 + -126. Let s = 79 - 20.5. Let t = r + s. Round t to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13935631 at least as big as -13935631?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 31\/2 of a milligram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + m**2 + 8*m**2 + (-2*m + 2 - 2)*(-2*m - 2*m + 3*m))*(2 - 8 + 1).\nAnswer: -45*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3627 at least as big as 3625?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and 56.78.\nAnswer: 4.5424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13, 57, 129, 229, 357?\n\"Answer: 14*s**2 + 2*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 465*v**5 + v**3 + 463*v**2 + 3*v wrt v.\nAnswer: 27900*v**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1674.78 litres?\nAnswer: 1674780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -610*k + 1822. What is the tens digit of p(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 x when two letters picked without replacement from {b: 2, x: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 4*a - 5*a. Let v = a + -22. Let b be -1*v\/((-1)\/(-5)). Solve 0 = -4*z + 3 + b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/(-28152)*126*(-2)\/14.\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 621b3?\nAnswer: -621b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000487391 to 5 dps.\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 divided by -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-4) + 2697\/12. Suppose 2*c - s = -3*c. What is the remainder when c is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98 and 19716963.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 5:37 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 118126135 divided by 117305\nAnswer: 1007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**3 + 15*x**2 - 51*x - 63 = 0.\nAnswer: -7, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 10. Let d(a) = 19*a**3 - 6*a**2 - 11*a - 17. Let v(b) = -50*b**3 + 15*b**2 + 29*b + 45. Let m(r) = -21*d(r) - 8*v(r). What is m(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1026)\/216 - -5*1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20137 + 21007. What is the remainder when l is divided by 181?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -15, -50, -119, -234, -407, -650, -975?\nAnswer: -1394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -e425fd (base 16) to base 7\nAnswer: -241042433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.4 (b) -0.5 (c) -7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14831 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 843 + -837. Let b(p) = p**2 + 4*p - 8. What is the lowest common multiple of b(-6) and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -335, -2791, -9457, -22439, -43843, -75775?\nAnswer: -120341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26169?\nAnswer: 3, 11, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16429, -65711, -147847, -262837, -410681, -591379, -804931?\nAnswer: -1051337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15102 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8183*b**3*j - 2*b**3 + 506*b**2 - j**3 - 11 wrt j?\nAnswer: -8183*b**3 - 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 801953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + (-1 - 46\/(-14)). Let g = -5.88 + 0.58. Let n = -1.3 - g. What is the second smallest value in n, c, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*q + 95*q = -72 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -31*m**2 - 2123*m - 5143. Give h(-66).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32629 is divided by 96.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-20)*((-100)\/32)\/(-5)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 5323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 3*o - 35 + 14, -3*n = -4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**4\/13 + 56*k**3\/13 - 426*k**2\/13 + 916*k\/13 - 544\/13 = 0. What is k?\nAnswer: 1, 2, 8, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -991*r + 2973. Let n be b(3). Solve 20*g + 47 - 167 = n for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 739870631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 10:10 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-36)\/(-48) + 3\/(-4). Let a be (-3 - i) + 12*14 + 3. What is the greatest common factor of a and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -3. Let z be 2 - 4 - 2\/b. Is 4 a factor of 4\/z*(-20)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lrilerrrelell. What is prob of picking 2 l, 1 e, and 1 i?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 8, -1\/3, -683, 0, -103?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 12465657?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -1\/4, 5, 25.3, 5.1, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 2*u + 10 = -0*a, -4*u = -a + 14 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 1\/12*t**4 - t**3 - 3 - 1\/2*t**2 + 0*t. Let w(o) be the second derivative of m(o). Let h(r) = 1. Calculate 6*h(v) + w(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/2 - 425*w**3 + 3426*w**2 - 5148*w.\nAnswer: -w*(w - 6)*(w - 2)*(w + 858)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2173 - -2182. Solve -y - 4 = -3*d + 5*s, 5*s = -3*d - 37 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 163, 3, 1 in decreasing order.\nAnswer: 163, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 9*o = 8*o - 11776, 5*o = 5*y - 11760. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 83*d - 1583. What is w(19)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 6*s - 8004 - 3012 = 0, 0 = -4*m + 3*s + 14765. What is the least common multiple of 114 and m?\nAnswer: 11058","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 11:39 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2235 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 51995 + -0.01099\nAnswer: 51994.98901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56.2 + -228.8. Let n = v - -285.3. Which is the closest to -2\/7? (a) n (b) 1\/2 (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16204163 to the power of 1\/3, to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3254184 to the power of 1\/2, to the nearest integer?\nAnswer: 1804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 - -80. Suppose 0 = 7*q - q - p. Let a(r) = -r**3 + 7*r**2 - 4*r - 7. Calculate a(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/41 and -57\/13052473.\nAnswer: 13052473","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -187*v**5 - v**3 - 3352*v.\nAnswer: -3740*v**3 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 249, 229, 209, 189?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 3 = 2*j - 0, -j = 5*d - 9 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3841 divided by -61809\nAnswer: -3841\/61809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 1 - 13579*v + 13587*v to the form k*v + d and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -657 + 661 + 0*v**3 + v**2 - v**3 to z*v + h*v**3 + w*v**2 + i and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -3\/2*q**4 + 2055\/2*q - 687\/2*q**3 - 687 + 9\/2*q**2 = 0?\nAnswer: -229, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -939, -3698, -8287, -14700, -22931?\n\"Answer: x**3 - 921*x**2 - 3*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -197 + 207. Let s(w) = -w**2 - 4*w + 3. Let p(q) = 2*q**2 + 8*q - 7. Let h(i) = -2*p(i) - 5*s(i). Calculate the least common multiple of v and h(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -59 smaller than -6065\/103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/12 - 67\/30. Let s = -73\/45 - o. Let v = 0.1 + -0.6. Which is the closest to 1? (a) v (b) 4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -443*o**4*v + 4*o**4 - 5*o**3*v + 2*o**3 - o**2*v - 23201*o**2 wrt o.\nAnswer: -10632*o*v + 96*o - 30*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 16) to base 13.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1425747, -1425746, -1425745, -1425744, -1425743?\nAnswer: -1425742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 1. Let h be 15*(39\/15 - 3). Let a(z) = z - 5. Let j(s) = h*b(s) + a(s). What is j(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 97481120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 13*w**5\/10 - 11*w**3\/6 - 7*w**2 - 15177*w. Let t(p) = p**2 - p**2 + 9*p**3 - 4*p - 5. Calculate 4*q(i) - 11*t(i).\nAnswer: 5*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -876717 + 876752.3467. Let i = -135.7243 - b. Let k = -171 - i. What is k rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/2*1*0. Suppose k = -3*w + 12 + 3. Let -4*f - 5*f**2 + 3*f**2 + w*f**2 - 2 - 5*f**2 = 0. Calculate f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.5 - 2. Suppose -103*g + 20 = -108*g. What is the second biggest value in d, 4, g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 + 41*s**3 - 13*s**3.\nAnswer: 27*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -28781557+1347927\nAnswer: -27433630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {y: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + -1 + (-38 - -31).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11570 and 41405390?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*d = 128, 6*d = -q + 3*d - 48. Let k be 1 + -3 + q\/(-27). Factor -4\/9 - k*z**2 + 2\/3*z.\nAnswer: -2*(z - 2)*(z - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 207170262?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -54. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -114, 0.3, 7\/13, 0, -13 in descending order.\nAnswer: 7\/13, 0.3, 0, -13, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 9*w + 683. Let r be s(-13). What is the highest common divisor of 1 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**5 + 78*b**4 - 1681*b**3 + 6852*b**2 - 5248*b = 0.\nAnswer: 0, 1, 4, 32, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2462403190 to the nearest integer?\nAnswer: 49623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x - 98 = -18 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 185*m**2 + 2*m - 2. Is q(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 11*w**2 + 16*w + 14. Let l be x(-7). Suppose 0 = -3*k - 2*g + 195 + 577, -3*k = -g - l. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 8 + -10 + 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {a: 6, d: 6}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of a**5\/60 - 5*a**4\/24 + 7*a**3\/6 + 3*a**2\/2 + 7. Let l(v) be the second derivative of n(v). Give l(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r + r**2 - 2*r + (-r - r + r)*(2*r - r + 0*r) - r**2 - 2*r**2 + 6*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (234\/(-63) + 4\/(-14))*(-621)\/(-138).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 66700284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 + 23. Let j be 244\/11 - (-2)\/p. Suppose -4*r - k - 2*k = -129, -r = -k - 34. Calculate the greatest common factor of j and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2907, 2402, 1897, 1392, 887?\nAnswer: 382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 15.2. Suppose -40*z + 155 = -5. Which is the closest to -88? (a) 5 (b) i (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 465 - 20091?\nAnswer: -1a727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-5))\/c*c\/(c**6\/c))**(1\/11) assuming c is positive.\nAnswer: c**(1\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u - 43. Give l(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 5. Let f be g(0). Let x be 190\/f + (-5 - -1). Let -150*b**3 - 6*b - 35*b**4 - 70*b**2 - x*b - 110*b**2 = 0. Calculate b.\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 131043 and 3777504?\nAnswer: 1083","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/24835692 and -133\/31931604.\nAnswer: 223521228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1560, 1565, 1580, 1611, 1664, 1745, 1860, 2015?\n\"Answer: n**3 - n**2 + n + 1559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*-2*sqrt(121))\/((sqrt(891) - -2*sqrt(891)) + sqrt(11)).\nAnswer: -1 + 3*sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1860 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10768 divided by 4.\nAnswer: 2692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10222 (base 3) to base 14\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76 + -76. Solve 2*f - 6*f - 12 = o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 + 51.82. Let y be (-66)\/((12\/(-20))\/(6\/(-15))). Let l = 43 + y. Which is bigger: q or l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/2 - (-6)\/4. Suppose 0 = -x - g*x - 15. Let j = -6 + 5.9. What is the closest to j in -0.3, x, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -378, 916, -2\/5, 0.5.\nAnswer: -378, -2\/5, 0.5, 916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12\/5*u + 0 + 3\/5*u**2 = 0 for u.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 791621448 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = 3*f. Suppose 0 = -5*l + 2*v, 0 = -f*l - l - 2*v - 16. Is 3 a factor of (4\/(-5))\/(l\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 312*((3 - -5) + -7). Suppose -307*c = -k*c + 1455. List the prime factors of c.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -93? (a) -1\/13 (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u. Let i be g(6). Let c be -4*((1 - 1) + 1). Let s = -1 - c. Calculate the greatest common divisor of s and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/z**42)\/z*z)**15*z**(-48)*z**34 assuming z is positive.\nAnswer: z**(-614)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -651, -3, -1\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 35\/5 - (0 - -3). Find the third derivative of 20*l**4 - 4 - 3*l**5 - 8*l**m + 12*l**2 - 7*l**4 + 4 wrt l.\nAnswer: -180*l**2 + 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2 + 6*s. Let g(w) = -w**3 - 13*w**2 - 13*w - 11. Suppose -m + 3*z = 6, 0*z = 2*z + 4. Let c be g(m). Let j be 3 - (c - 6\/3). Determine d(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u. Let n be i(0). Suppose 5*v + 291 - 1161 = n. Suppose -6*a + 3*a = -v. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5503352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, u: 1, a: 3, c: 3}. What is prob of sequence aai?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 5*w - 22, 13*b - w = 9*b + 18 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100200122001 (base 3) to base 15.\nAnswer: -3b7a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -5*f + f - 2*k, -2*f + 24 = -2*k. Suppose -g + 19 = 8. What is the greatest common factor of g and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42114?\nAnswer: 2, 3, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5448, -11690, -18722, -26544, -35156, -44558, -54750?\nAnswer: -65732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 1 (c) 0.09 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*l, 24*d + 3*l = 23*d + 47. Suppose h + 2*w - 241 = -22, h + w = 218. What is the remainder when h is divided by d?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 470 and 73508?\nAnswer: 367540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 786060, 1572113, 2358168, 3144225, 3930284, 4716345, 5502408?\n\"Answer: n**2 + 786050*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 + -47. Suppose -f = -l*d + 14, -2*d + 0*d + 3*f = -3. Suppose -y + 5*s = -86, -128 = -2*y + 2*s - d*s. Is y a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = 3*f + m, -37*f + 39*f + 5*m = 87. Calculate the remainder when 4877 is divided by f.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 4 - 0. Suppose -c + 10 = -4*n, 4*c + n + 1179 = 1270. Calculate the remainder when c is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1074, 1086, 1098, 1110?\n\"Answer: 12*z + 1062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 33*j**2 + j. Let c(n) be the first derivative of 16*n**2 + 1960. Determine o(c(g)).\nAnswer: 33792*g**2 + 32*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence clf when three letters picked without replacement from {f: 1, t: 3, g: 1, c: 1, l: 6, z: 5}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12 + -2d?\nAnswer: -3f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 88\/(-3)*27\/(-12). Suppose -27 - d = -2*c - x, -5*x = -2*c + 87. What are the prime factors of c?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-107675)\/105 - (-12)\/28*-2. Let n = d - -1027. Solve -40\/3*g + n*g**2 + 200\/3 = 0 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, 2, 1 in descending order.\nAnswer: 2, 1, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3327053 divided by 195709?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4500) + 1*sqrt(4500) + sqrt(4500) + sqrt(4500))\/(sqrt(9) - sqrt(441)*-1))**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.7 - -12.69999933. What is s rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 - ((68 - 18) + -90 + -1 + 6)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - w + 4. Suppose 3*z = 2*z + 3*m + 9, m = -4*z + 23. Let y be (z\/(-4))\/((-14)\/56). What is c(y)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -6*n**3 - 5*n**2 - n + 1. Suppose -44 + 14 = 5*p. Let i(r) = -7*r**3 - 6*r**2 - r + 1. Determine p*m(a) + 5*i(a).\nAnswer: a**3 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*j**2 - 8*j**2 + 5*j - 2*j**3 + (1 - 2 - 3)*(-j**3 + 5*j**3 - 5*j**3) to the form p*j + q*j**3 + u*j**2 + o and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1210762 and 27580?\nAnswer: 2758","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + -1 + (-1 - -9). Solve -27 = -4*x - y for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-18522)\/(-117992)*(-2)\/(-4) and 23\/903?\nAnswer: 7224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1021031*h**2 + 656629*h**2 + 1588192*h**2.\nAnswer: 3265852*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/5 + 154*w**2\/5 - 642*w\/5 + 486\/5.\nAnswer: 2*(w - 3)*(w - 1)*(w + 81)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241601 is divided by 68.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-2 - 9) - (1 - 40).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 15251.\nAnswer: 1\/15251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7069 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111\/(-2)*(-13 - -11) is divided by 32?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 430 + -274.6. Let n = h - 155. Which is the biggest value? (a) 4 (b) 1 (c) n (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9806, 19610, 29414, 39218, 49022, 58826?\nAnswer: 68630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) 5 (c) -56 (d) -57 (e) -60 (f) -7 (g) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, u: 1, z: 11, d: 4, j: 1, b: 1}. Give prob of sequence zz.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-5)*350\/980?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/2 in 1\/5, -746, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2184 = 31*n - 187*n for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 189519*z**4 - 2*z**3 - 158680*z**2 wrt z?\nAnswer: 4548456*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78 - 73 + 4*t - 71 - 15*t**2 + 223 to the form a + r*t + f*t**2 and give f.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*j, 5*l + j + 3 - 2 = 0. Suppose l = u - 151 - 71. Let x = -91 + u. Is 16 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 679*s + 121698 = 697*s. List the prime factors of s.\nAnswer: 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/6093409 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000038915 to seven dps.\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 332 - 330. Suppose 4*s - 4*v = 0, 21 = c*s + 15*v - 10*v. Solve 13 - 1 = 3*h + s*j, 3 = -3*h + 2*j for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 9:43 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/2408 and -85\/657384.\nAnswer: 657384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 45.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 82438.58ns?\nAnswer: 82.43858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7093 and 369?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(40)\/sqrt(8)) - sqrt(75)*5 - (-2*sqrt(432) + -5 + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*a = 2. Let q(p) = a - 4 + 7 - 7 - 5*p. Determine q(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22820, 2, -2, 0, 6 in increasing order.\nAnswer: -2, 0, 2, 6, 22820","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 131 + -113. Calculate the lowest common multiple of d and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/14*1*2\/(-6)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -56, -134, -264, -446?\n\"Answer: -26*h**2 - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57476?\nAnswer: 2, 14369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4364 = -9*k + 3725. Is k smaller than -73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(-3 + 13\/4). Suppose 3*s - 2*n - 2*n + 19 = 0, 2*n - 2 = 0. Which is the third biggest value? (a) 4\/7 (b) y (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 5*w - 25, 2*d = -3*w - 11 + 26 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63277, 253124, 569537, 1012516, 1582061, 2278172, 3100849?\nAnswer: 4050092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 0 + 0)*(-1 - 2*g + 1) + 4 + 7*g**2 - g**2 - 2.\nAnswer: 4*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9*((-26)\/6 + 1 - -3). Let i be l*(-3)\/(18\/(-8)). Calculate the least common multiple of 4 and (-27)\/108 + 1 + (-53)\/i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -29\/2. What is the nearest to -1\/4 in -0.3, l, 2\/13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - f - 908, 5*p - 1495 = -2*f - 0*f. What are the prime factors of p?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 - -5518. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 111005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*f + 14*f - 223*f + 260 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1504 and 40232.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.8334093 meters?\nAnswer: 833.4093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**4 + 8*k**4 + 2*k**3 + 2 - 5*k**3 as u*k**4 + g*k + z*k**3 + j*k**2 + n and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u + 0 + 2 + 2. Suppose -5*j - 4 = 1. Let y be (j*(-3 + 1))\/(-1). Let r(p) = -2*p + 5. Calculate y*r(v) + 3*n(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n - 16. Let q be r(6). Suppose q*b - 94 = 4*m, 0*b - m = 3*b - 113. Let t be (-42 + b)*((-16)\/17 + 1). Which is bigger: 0.1 or t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -256 * -535.8.\nAnswer: 137164.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.86 - -10.8387.\nAnswer: 12.6987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 840 and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 133 and 114?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -5, -8, -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*p + 0*p + 16*p)*(-p**3 - 2*p**3 + 5*p**3 + (-3 - 2 + 9)*(2 - p**3 - 2)) in the form i*p + q*p**2 + b*p**3 + d + n*p**4 and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09598 to three dps.\nAnswer: 0.096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 6335*m + 57012. Calculate r(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 54a?\nAnswer: -551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-14))\/(5552\/27760)\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 136757*w - 1230902. Determine g(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 120 = m. What is the highest common divisor of m and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0037 from -0.21292.\nAnswer: -0.20922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1930226 rounded to the nearest 1000?\nAnswer: -1930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 670*w**3 + 241*w**2 + 4*w + 2. Let u(n) = -4*n**3 - n**2 + 2*n + 1. Let y(z) = k(z) - 2*u(z). What is the third derivative of y(h) wrt h?\nAnswer: 4068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 - 1)*(-2 - 2 + 2)*(-93 + 93 - 31*d) to the form o*d + z and give o.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 3*p + 3 - 8, 2*j = 4*p - 8 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**11)**38*l**1\/l**(-6))**(-9\/7) assuming l is positive.\nAnswer: l**(3357\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1572)\/(-3406)*(-2)\/3.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*z = 151 + 521, p = 5*z + 130. Calculate the highest common divisor of p and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 2)*(27 + 53 + 85 - 94218*c - 165)*(5 - 2 - 2) to x*c + n and give x.\nAnswer: -94218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1945608 plus -0.34?\nAnswer: -1945608.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 692514863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/24 and -149\/3216.\nAnswer: 3216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20302337?\nAnswer: 11, 523, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5329300?\nAnswer: 2, 5, 137, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 6*s + 4*d = -6, 4*d = 5*s - 18. Suppose 6*o - 128 = -s*o. Let j be 5\/4 + o\/(-64). Let a(m) = 2*m**2 - 1. Give a(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -183098 + 183097.916963. Let p = 2744 - 2743.917. Let k = l + p. Round k to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -6*a + 3. Let p be h(-11). Let j(g) = g**3 + p*g**2 - 30*g**2 - 1 - 33*g**2. Determine j(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 47.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 325 = 3*v. Let p(r) = 127 + 9 + v - r. Is p(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -67, 5 in descending order.\nAnswer: 5, 0, -1, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l + 14. Let s be j(0). Let q = -12 + s. Suppose q*m - 26 = -2*n, m = 2*n - 30 + 1. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -1546?\nAnswer: 1542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109076163?\nAnswer: 3, 7, 29, 179107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53520*o**5 + 3*o**2 + 135620*o.\nAnswer: 1070400*o**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -260945952.442 minus -103?\nAnswer: -260945849.442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-28))\/(7 + ((-1085)\/40 - -20))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6198 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*z - 28*z - 233 = -2*b - 35, -14*z + 18*z + 4*b = 28 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*y + y + 8, 3*y - 4*x - 10 = 0. Let k be 2*9\/6 + 1. Suppose k*v + y - 40 = -2*h, v = -h + 12. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqgqpqggpgp. What is prob of sequence qg?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8726 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 49958.35 nanometers in kilometers?\nAnswer: 0.00000004995835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y - 1. Let m be u(-1). Let k be 3\/((30\/68)\/m). Let l = 52 + k. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -200*f**3 + 169908*f**2 - 91696*f + 3396 = 0.\nAnswer: 1\/25, 1\/2, 849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -8 (b) -1 (c) -0.2492\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h + 16. Determine m(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -833 minus 43665844?\nAnswer: -43666677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1026 rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 0.1559\nAnswer: -4.8441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-9)*-2*3\/(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 26*w**2 - 59*w + 103. What is v(28)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11 + -2 + 1 + -3. Let n be (9\/(-2))\/(27\/(-36)). Suppose 3*p - z = -r, -n*p + 35 = 3*r - 4*p. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/9)*g*g**(1\/2))\/(g**(1\/15)*g*g**5) assuming g is positive.\nAnswer: g**(-431\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 102*k + 6*k**2 - 74*k + 25*k**2 - 1 + 6.\nAnswer: 31*k**2 + 28*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-672)\/(-224))\/(21\/(-174)*48\/112).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -122246031769*x**2\/2 - 624102045*x - 3186225\/2.\nAnswer: -(349637*x + 1785)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2428, -3570, -4712, -5854, -6996?\nAnswer: -8138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + -25 - -1) + -2. Let o = h + 374. Let w = -243 + o. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -392, 380, 1668, 3472, 5792, 8628, 11980?\n\"Answer: 258*j**2 - 2*j - 648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**4 - 34*t**3 - 756*t - 4. Let v(p) = p**4 - p**3 - 3*p + 1. Let i(r) = -q(r) - 2*v(r). What is the second derivative of i(d) wrt d?\nAnswer: 12*d**2 + 216*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5709*d + 38725 - 13398 + 20297 = -28593 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1505 (base 6) to base 14\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 7*l - 10. Let r be (0 - 0)\/(l\/(-2)). Let f = 5 + r. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1363 - -1363.02. What is the nearest to 0 in p, -5\/3, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -16*u + 7. Let c(k) = -k. Let h(o) = 10*o - 2. Let a(i) = -5*c(i) - h(i). Let r(q) = 7*a(q) - 2*w(q). Let j(x) = 2*x**2. Determine j(r(g)).\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 3:11 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05 + -0.45. Let y = 5.01 - 0.01. Let f = 3 - y. What is the nearest to -0.1 in v, f, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 6*m = 2*m + 52, -5*a = -5*m - 75. What is the smallest common multiple of 58 and a?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-102)\/2)\/(((-10518)\/3506)\/(((-6)\/(-1))\/(-2)))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33364*c**2 - 25*c**3 - 33364*c**2.\nAnswer: -25*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n. Let a(w) be the first derivative of 7 + 0*w - 7\/2*w**2. Calculate a(x(m)).\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.1 and 198249.4.\nAnswer: 1209321.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-7)\/7)\/(1\/(-2)). Let w be -2 + 1 + (-7)\/(-5). What is the second biggest value in w, q, 0, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence arv when three letters picked without replacement from rovvvsvspvravpssra.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -150 by 10.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 20395647, 20395646, 20395645, 20395644?\n\"Answer: -h + 20395648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11110000010 (base 2) to base 13\nAnswer: -b4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2692 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 5) + 2 - -451. Is 1 + -2 + m\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*t = 4*r - 14, 3*r + t - 9 = 0. What is u in 2*u**3 + 43 + 37 - 32 + 20*u**r + 28*u + 28*u = 0?\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0013625105771 to 6 dps.\nAnswer: 0.001363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28419?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 1. Suppose -11*c = -7*c + 4. Let o(f) = f - 5. What is c*o(t) - 4*j(t)?\nAnswer: 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 - (-15 + 8 - (4 - ((-3 - 5) + 13)))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 7*i = -20. Let n(y) = y**3 + 1. Let h(g) = -2*g**3 + 2*g - 5. What is i*n(d) - h(d)?\nAnswer: -2*d**3 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1157*t**3 - 11801*t**3 + 31740*t**2 + 2000 - 13800*t - 13690*t**3.\nAnswer: -2*(23*t - 10)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 divided by -1582573?\nAnswer: 64\/1582573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -210020102 (base 3) in base 13?\nAnswer: -707c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 3*l**2 - 2*l - 1. Determine u(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, w: 3, r: 1, g: 2, i: 1, k: 2}. Give prob of sequence irf.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**2 + 17*t + 13. Let w = -290 - -285. Let r be b(w). Let d(l) = l**2 + 3*l + 1. Let j be d(-3). Which is smaller: j or r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a**2 + 1744*a - 10612. Determine q(-442).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -83 - -82. Are 1\/48 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000000010000010100010 (base 2) in base 15?\nAnswer: -2b8cc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*o**2 - 213*o**2 + 96*o**2 - 5*o + 0*o + 5*o.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 2. Let j be 20\/n*(-24)\/(-3). Calculate the greatest common divisor of j and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbgbbgebbbbgbbbbbe. Give prob of picking 1 g and 1 e.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = b - 4*i - 5, 17 = 3*b + i. Let u be ((-14)\/2107)\/(b\/(-2) - -3). Which is bigger: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 3, y: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5882*a + 18270. What is i(3)?\nAnswer: 624","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 6:56 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 89489386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 74*t**2 - 444*t + 3319. What is u(-80)?\nAnswer: 439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1010000 (base 2) to base 8\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111511151 (base 7) to base 12.\nAnswer: -2337075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003993191329 to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4470128161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from xlrl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 27*y**2 + 148*y + 30. Determine q(-7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3.354+0.16\nAnswer: -3.194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 10*b**2 + b**2)*(2 - 2 - 2) + 252*b**2 - 109*b**2 + 285*b**2.\nAnswer: 410*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24 - (-33)\/693*-609. Let r(m) be the third derivative of m**6\/120 + m**5\/15 - m**4\/4 - 2*m**3\/3 + m**2. Give r(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 889 - 885. Solve -3 = -3*h - 3*w, 32 = 3*h - m*w + 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -10212?\nAnswer: -10221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2782\/3*(-270)\/(-180)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**2 + 3 - 3 + 2)*(3*l**2 - 4*l**2 + 0*l**2).\nAnswer: -5*l**4 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 530 and 61017045.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 40 + 12. Suppose -4*u + 5*a + t = 0, -2*u = -u + 4*a + 14. What is the first derivative of 1 - 2 + n**4 - u*n**4 wrt n?\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 2*c + 2. Let r be t(2). Suppose -r*b = 3*b. Suppose -2*p + q = 5*q - 16, -3*p + 5*q + 2 = 0. Solve b = -0*j + p*j + 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19858, -48591, -77324, -106057, -134790, -163523?\nAnswer: -192256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, u: 3, v: 4, e: 5, y: 6, m: 1}. Give prob of sequence eye.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47672 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13398 + -13729.41. Let z = b - -319. What is z rounded to zero dps?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4057, -0.38, 0.4, 2\/7.\nAnswer: -0.38, 2\/7, 0.4, 4057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1872530044 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 587147960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*r - 2*r. Suppose 2*a + r = -4. What is the third smallest value in a, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 4:13 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -0.4 (c) -0.197 (d) 337\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -143022 (base 8) to base 11\nAnswer: -35107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 12 - 42*c + 42*c + 501*c**2.\nAnswer: 501*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 94*l**2 - 71*l - 2919. What is the units digit of z(-99)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 372, 682, 992, 1302, 1612, 1922?\nAnswer: 2232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-840)\/(-112))\/(-10*(-3)\/2)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 10*q - q. What is the nearest to q in 4, -0.1, -2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 811958778 to the power of 1\/3, to the nearest integer?\nAnswer: 933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000815 to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*u + 84*u = -18. Factor 2\/9*k**u + 2\/9*k**2 + 0 + 0*k.\nAnswer: 2*k**2*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 6)*(-851*l**2 + 886*l**2 + 876*l**2)*((l - 2 + 2)*(-2 - 1 + 1) + l + 0*l + 2*l + (-2*l - 2*l + 6*l)*(5 - 3 - 1)).\nAnswer: -2733*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3930729 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, 11175, -3, -5, 2 in decreasing order.\nAnswer: 11175, 6, 4, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**8*q*q)\/q**(-1\/5)*q*q*q*q**7*q*q*q**(3\/5)*q assuming q is positive.\nAnswer: q**(119\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12059, 21057, 30057, 39065, 48087, 57129, 66197, 75297?\nAnswer: 84435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 25*i + 39. Calculate z(-17).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + -1.3. Let h = 986 - 1630. Let r = 643.8 + h. What is the nearest to 2 in r, 2\/3, m?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -5*k. Let p = 6 - 3. Let h(w) = -w**2 - w + w + p*w**2. What is h(i(a))?\nAnswer: 50*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.5, 634, 0.01, -7, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*g + 9*g - 219 - 2*g**2 + 11*g + 7*g - 46*g.\nAnswer: -2*g**2 - 4*g - 219","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.274 - -0.023.\nAnswer: -0.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 377769720 divided by 1015510\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*h**3*z**3 - 6*h**3*z + 4*h**2*z**3 - 14*h**2*z**2 - 2*h*z**2 wrt h.\nAnswer: 42*z**3 - 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76*p**2 + 12*p - 13*p + 237 - 72*p**2 - 25 to d*p + i + q*p**2 and give i.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15316492619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, h: 13, x: 1}. Give prob of sequence hi.\nAnswer: 39\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (-6)\/(-84))*-6.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 2*q**2 - q - 1. Calculate g(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65.5 + 65. Let v = 435 - 433. What is the nearest to 0.08 in k, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4866.789 weeks to seconds.\nAnswer: 2943433987.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a - 1. Let q be w(-10). Let f = -19 - q. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 0 (b) -75 (c) 2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -262428*m**2 + 262416*m**2 + 60 - 16.\nAnswer: -12*m**2 + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 1\/2*s**2 + 4*s - 1\/10*s**5 + 0 + 0*s**3 + 0*s**4. Suppose 2*w + 18 = 2*b - 2*w, 0 = -b - 4*w - 21. What is u(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 74\/5 - (-3 - (-112)\/40). Let x = 13 - 0. Is x greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2002031 + d + 0*d + 137*d**4 - 2002032 to the form h*d + u*d**3 + t + a*d**2 + f*d**4 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170, -178, -200, -242, -310, -410, -548?\nAnswer: -730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56170400*n**3 + 41840777*n?\nAnswer: 337022400*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (1185\/25)\/((-3)\/(-15)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-3))\/((-7)\/(-21)). Solve p*m = 2 - 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 6*(4\/(-6))\/1. Let y(z) = 8*z**2 + 9*z + 20. Let j be y(x). Let m = 186 - j. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and 13.3?\nAnswer: 79.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1612332 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 4 - 2. Is ((-26)\/4)\/((-1)\/n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3160080 divided by -79002.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + r + 27, -5*q - r = -6*r + 45. Let g be (q\/(-16))\/(2\/120). Suppose -4*b + 133 = g. Calculate the lowest common multiple of 14 and b.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 19\/(-2) + 6\/4. Let d(y) = -y**2 - y + 1. Let a be d(i). Let n = -29 - a. Does 11 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 2. Suppose w = -2*z - 2*z - 192. Let o = z + 83. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8948.21 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4*w + 13 = 0, 5*w + 20 = 5. Let c(q) = 12*q**2. Let h be c(1). Suppose 4*f = 52 - h. Calculate the smallest common multiple of f and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13.3 - -0.7. Let l = m - 10. Put l, -5, -2\/5 in descending order.\nAnswer: l, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**8\/280 - 5*o**4\/24 - o**3\/2 - 7*o**2. Let n(z) be the first derivative of d(z). Differentiate n(t) wrt t.\nAnswer: 24*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22.5, -0.43, 2 in decreasing order.\nAnswer: 22.5, 2, -0.43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/((2\/(-7))\/(4\/(-7))). Suppose 0 = w*a + 4 - 12. Suppose -17 = -a*v + 91. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68369 times 0.4\nAnswer: 27347.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 4)*(23 - 144 - 64)*(l**2 - 2*l**2 + 0*l**2)*(2 + 2*l - 2)*(2*l**2 + 3*l**2 - 3*l**2).\nAnswer: 2220*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (793*n - 793*n - 8*n**2)*(-n**3 - n**3 + 6*n**3)*(0 + 4 - 5).\nAnswer: 32*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*b**2 - 4*b**2 - b - 21*b**2 - 4 + 15*b**2 to the form u + a*b + i*b**2 and give i.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c. Let o = 66 + -65. Let u(x) = o + 8*x - 23*x + 6*x + 7*x. Give -q(k) - u(k).\nAnswer: 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 14343154?\nAnswer: -14343152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -975*d + 3944. Is q(4) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -65*c**2 + 2525554 - 2525554 + 13*c in the form s*c + h*c**2 + p and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10097 is divided by 3011?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*i**2 + 48*i**2 - 21*i**2)*(-4 - 2 + 2*i - i) in the form x*i**3 + y*i**2 + z + q*i and give x.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 7*g + 173 = 0, 4*b = -5*g - 10085 + 10216 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 17.1272 nanoseconds?\nAnswer: 0.0171272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r**2 + 2*r + 12. Let i(z) = -z**2 + z + 1. Let g be 4\/12 + (-2)\/(-3). Let t(n) = g*d(n) - 6*i(n). Is t(8) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 2, -5, 5, 298 in decreasing order.\nAnswer: 298, 5, 2, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*o + 12 = 0, 2*o - o = 2*p - 3. Solve f = 2*h - 3, p*f - 5*h = -h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 1, -9875, -5, -2, 2, -1 in decreasing order.\nAnswer: 22, 2, 1, -1, -2, -5, -9875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -14*v**5 + 0*v - 8*v + 36*v**2 - 21*v**3 - 36*v**4 + v**3 + 42*v**5 = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20127 divided by 6709.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -44902207.\nAnswer: -134706621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**2 + 16*f + 4. Let c be n(-6). Suppose -c*a - 315 = -21*a. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001860050217 to 6 dps.\nAnswer: 0.00186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1380.5 + -1381. What is the second smallest value in y, -2\/11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/66 in 1, 23, -1\/2, -2\/17, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*s = -17*s + 57*s - 408. Solve 0 = s*h - 6*h + 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 525 and 525?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 8*v**2 + 3*v + 5. Let t(m) = -m - 1 + 0*m + 0*m**2 - m**2. Let a(y) = r(y) + 6*t(y). List the prime factors of a(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -3. Let j(b) be the second derivative of 7*b**3\/6 - 2*b. Let m be j(l). Solve 3*t + 8 = -x, t + m = -x - 3*x for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228097153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183171 is divided by 60869.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, l: 4, s: 7}. Give prob of picking 1 l, 2 s, and 1 j.\nAnswer: 168\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-2)*(-20)\/(-25)*-2. Find the second derivative of 17*l**3 - 18*l**g - 20*l**4 + 34*l + 39*l**4 wrt l.\nAnswer: 12*l**2 + 102*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f**2 - 16*f + 2. Let s be g(-4). Let m be 2\/((-2)\/3*-3). Solve -s*d + m - 5 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v*v*v**1)))**(-2\/17)*(v*v\/v**(1\/3))**(-2\/3)*(((v**(-5)*v)\/v)\/(v**(-8)*v*v))**(-2\/17) assuming v is positive.\nAnswer: v**(-242\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.655 or -956\/7?\nAnswer: -956\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0*u = 25, -3*h - 2 = -4*u. Solve -q - 2*q - h = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, v: 1, m: 3, t: 1, h: 4, j: 4}. Give prob of sequence ht.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 102*a**2 + 19*a + 3. Is p(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1640 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -15*m**5 + 2345*m**4 - 107870*m**3 + 1560060*m**2 - 437240*m - 1017280 = 0?\nAnswer: -2\/3, 1, 34, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-7)*g**(2\/3))\/(g**(-2\/3)\/(g*g\/(g\/(g**5\/g*g*g)))))**(-2\/13) assuming g is positive.\nAnswer: g**(-98\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 39 = 8*p + 4, 3*k + 51 = 2*p. Let f(t) = -2*t - 30. Give f(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.528 + -0.11\nAnswer: -1.638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -8. Suppose -2*x = -5*p - 6*x + 5, p = 2*x + s. Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 80*h - 759. Let i be a(11). Solve 3*w + 236 - 239 = 3*v, i = -w + 4*v + 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/7 - 8*l\/7 - 24\/7.\nAnswer: 2*(l - 6)*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4885 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4*(((sqrt(242) + 2 + sqrt(242))**2*5 + sqrt(242) - sqrt(242)) + -1) + 0.\nAnswer: 1760*sqrt(2) + 19439","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7552160 and 15708?\nAnswer: 385160160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2. Let r(l) = 25*l + 5. Let o(n) = 12*n + 2. Let v(j) = -5*o(j) + 2*r(j). What is w(v(k))?\nAnswer: 200*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 986 - 693. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 900690.\nAnswer: 2, 3, 5, 7, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 + 2*t**2 - t**2 - 4*t**2 - 23406.\nAnswer: -4*t**2 - 23406","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**5\/60 - 3*g**2\/2 - 4. Let h(v) be the second derivative of l(v). Let m(b) = -2*b. Give h(m(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 - 43*v - 9. Let y be g(-21). Solve 17*f - y*f = 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -37*o**2 - 1834*o + 2. Let s(k) = k**2 + 11*k - 1. Let c(x) = -i(x) - 2*s(x). Find the second derivative of c(f) wrt f.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q**5 + 5*q**4 - 110*q**3 + 10*q**2 + 345*q + 225 = 0.\nAnswer: -5, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48406, -48504, -48668, -48898, -49194?\nAnswer: -49556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 267 - 2 - 10\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 95*i**3 + 2*i**2 - 1. Let z be x(1). Suppose 113*u - 5341 = 1019 + 1776. Calculate the greatest common factor of u and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(72) - 2*sqrt(72)) - (-3 + sqrt(72) + 2*sqrt(72))) + -1*(-1 + sqrt(72) + 5) + -5.\nAnswer: -6 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1715)*-1 + (sqrt(35) - (sqrt(35) - 6*sqrt(875))))\/(sqrt(175) + (sqrt(175) - (sqrt(175) + 3*sqrt(175))) + sqrt(3087)\/sqrt(9)).\nAnswer: -23*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -4*x - 43, -1001*x = -1004*x + d - 29 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 172, 3\/26, 1\/6?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**5\/7 + 3*r**4\/7 - 2*r**3\/7 - 2*r**2\/7 + 3*r\/7 - 1\/7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -10*v. Let s be 42\/7*(-1)\/2. Let w(j) = j**3 + 2*j**2 - 3*j + 1. Let r be w(s). Determine a(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3521 is divided by 87.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**4 - g**2 + g**2 + (-2*g**4 - 3*g**4 + 6*g**4)*(1 - 1 + 1) + g**4 + 3*g**3 - 3*g**3 as h*g**3 + w*g**4 + k*g + p*g**2 + r and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 99 + -170. Let v = g + 102. Which is greater: v or 30?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5*k. Let r(b) = -220 + 7*b + 220. Determine r(c(a)).\nAnswer: 35*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 0, -1\/6, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -203 - -695. Let t = -475 + f. What is the remainder when 46 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-40)\/6)\/(1\/(-3)). Let v = -32 - -36. Solve -k = -2*j + 6*q - 2*q, 0 = -v*j + q + 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/15 and -157\/8370.\nAnswer: 8370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1149*z**3 + 538*z?\nAnswer: -6894*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1193664.\nAnswer: 2, 3, 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -131 - 13*o - 15\/4*o**2 - 1\/6*o**3. Determine s, given that t(s) = 0.\nAnswer: -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*a - 8, 0*l - 32 = -3*l + 2*a. Solve -2*f - 2*y + l = -4*y, -5*f = y - 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -3, -12, 7 in decreasing order.\nAnswer: 7, 3, 2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -60*w**3 - 68*w**3 + 130*w**3 + 171 + 1198 + 3099*w**2 - 1279*w**2 wrt w?\nAnswer: 6*w**2 + 3640*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 20.\nAnswer: -1, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 0 + 80\/466. Let b = a - -10744\/2563. What is the common denominator of 1 - (168\/(-12))\/126*62 and b?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8146 = -400*s - 271*s + 1436 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 519545, 1039089, 1558635, 2078183?\nAnswer: 2597733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of 11*x**2 + 1\/60*x**5 + 0 + 0*x**3 - 5*x + 0*x**4. Let p(l) = 5*l + 2. Give u(p(t)).\nAnswer: 25*t**2 + 20*t + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -1. Suppose 34 = -b*q + 1264. Suppose 3*l = l + q. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*f, 0 = -c - 0*f + 5*f + 4. Let g = c + 22. Calculate the greatest common factor of g and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -885*z**3 - 2207*z**3 + 12*z**3 + 84*z**3 - z**2 - 1847*z**3.\nAnswer: -4843*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*r - 81*r**3 + 20*r + 86*r**3.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-55 - 54 + 84)*(-16*l**3 - 15*l**3 - 6*l**3) as d*l**2 + t*l + s + i*l**3 and give i.\nAnswer: 925","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448*c + 156 = -456*c + 892*c for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, y: 4, t: 5, s: 2}. Give prob of picking 1 u, 1 y, and 2 s.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 3*a - 2390, 374 = 3*j - 2*a - 1427. Let s be 78\/65*2080\/(-6). Let x = s + j. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -4, -3, -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56.07181 + -56. What is h rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4286218*p**4 + 4504*p - 255 wrt p.\nAnswer: -51434616*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/(1 + 2\/(-4)). Let l be 74\/40 - (-16)\/g. Find m, given that -l - 3\/2*m - 1\/4*m**2 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -787*c**2 + 1565*c**2 + 1813*c**2 + 644*c**2. Let w(g) = -2*g. Calculate w(a(l)).\nAnswer: -6470*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-288)\/640)\/((-6)\/(-10))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11470638215063 + 5\nAnswer: -11470638215058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 655 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, j: 1, u: 2, v: 1, z: 8, k: 6}. Give prob of picking 1 u and 1 v.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2\/7)*p**(4\/3)*(p\/(p**7*p))\/p**(-2\/5))\/(((p*(p\/(p**2\/p))\/p)\/p**(1\/6))\/(p**1)**(2\/19)) assuming p is positive.\nAnswer: p**(-5693\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(3) - -2*sqrt(432))**2 + (-4 + (2*sqrt(3) - sqrt(3)) - (-1 + sqrt(12)\/sqrt(4))))*-2*2 + 5.\nAnswer: -7467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + g - 10 = 0, 4*g = -l + 5 + 11. Suppose -l*k + k = -273. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12100020211220 - -112?\nAnswer: 12100020212102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4126148 (base 11) to base 15\nAnswer: -98d691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 3*r + 6, -4*r + 2*i + 56 = 64 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12087.\nAnswer: 3, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (81*j + 83*j - 60*j + 15)*(-1 - 1 + 1) in the form t + n*j and give n.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 196907467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31002021202 + -3?\nAnswer: 31002021133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 79606 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2528 times -4.6?\nAnswer: -1.16288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64 + 27. Let v be 6\/3 + 89 - 1. Let l = g + v. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 9*u + 8. Let y be q(6). Let a = y + -24. What is the derivative of -5*n**3 + 5 + a - 3 + 0 wrt n?\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*g**3*r**3 + 17*g**3*r**2 - 143*g**2*r**2 - 387*r**3 wrt r.\nAnswer: 36*g**3 - 2322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - s - 1. Let c(y) = -y**2 - 1. Let o(m) = -4*c(m) + 5*h(m). Let p(q) = -q**2 - 8*q - 9. Let d be p(-7). Give o(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -35?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a**2 - 11*a**2 + 36*a**2.\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*(u*u\/(u*(u\/(u\/(u*((u\/u**2)\/u)\/u))*u)\/u)*u*u)\/u)\/u)\/u)**(6\/7))**(-30\/7)\/((u**(-2)\/(u**(6\/7)\/u))\/(u**(-4)*u*u**(-2\/9))) assuming u is positive.\nAnswer: u**(-5462\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 0.2, 4, -2\/13, -6.9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4 = h. Suppose h*c - 1 = 35. Let a(l) = 2*l - 8. What is the remainder when 27 is divided by a(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*y + 3*b, -3*y + 5*b + 16 = 42. Let t(z) = 2*z**2 + 3*z + 2. Let o be t(y). Suppose -3 + 1 = 2*v, 3*k + o*v - 5 = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 4*f - 1288, -5*r + r - 1276 = 2*f. Suppose 5*w + 344 = 3*w. Let g = w - r. What is the greatest common divisor of 37 and g?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/2 + 8\/(-16). Let n be 2 - (-2 - (t - 4)). Suppose n*l = q - 21198, 5*q = -l - 44 - 10566. What is l rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 111?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9893320 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2010221201 (base 3) in base 11?\nAnswer: 29817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 2271026151.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148 = 39*h + 155 + 620 + 169 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -916, 19793, 0 in ascending order.\nAnswer: -916, 0, 19793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*13677.97\nAnswer: 1367.797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -20*l + 23. Let b be d(1). Find the third derivative of -2*v + 752*v**3 - 250*v**3 - 328*v**b - 274*v**3 + 15*v**2 wrt v.\nAnswer: -600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(2\/35)*b)\/(b\/((b**8\/b)\/b)))**(2\/19)*(b**(-2\/23)*b**(-7)\/b)**16 assuming b is positive.\nAnswer: b**(-103562\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*d - 228 = 43*d - 84*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82734 or -82733?\nAnswer: -82734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 10. Let g = -0.0186 + 0.0286. Put g, 0.1, m in increasing order.\nAnswer: g, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20775*g**3*y**2 - 30*g**3*y + y**2 - 16339*y + 30 wrt g?\nAnswer: -62325*g**2*y**2 - 90*g**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 7. Let s(p) = p**3 - 13*p**2 + p - 14. Let d be s(13). Let w be (d + -6 + 4)*3\/3. Put v, 2, w, -4 in descending order.\nAnswer: v, 2, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 6:02 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -18*z**2 - 237*z - 96. Let f(j) = 8*j**2 + 119*j + 48. Let u(s) = 2*a(s) + 5*f(s). What is the least common multiple of 30 and u(-30)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p = 9*p + 230734. Suppose -29*s - 1459 = -p. What are the prime factors of s?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 25, 27688 in descending order.\nAnswer: 27688, 25, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3 + 13\/4)*716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 + -68. Let z = -10 + 17. Suppose -6 = -2*t + 6*f - 3*f, 5*t = i*f - z. Let s(k) = -k**3 - 2*k**2 + 5*k + 3. What is s(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 155*y + 10 - 108*y + 69*y. What are the prime factors of s(2)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2674 and 2674 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72062?\nAnswer: 2, 137, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zni when three letters picked without replacement from itnngnizznnngttinni?\nAnswer: 32\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 138*f**2 - 6 + 2*f.\nAnswer: 138*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 6, -0.1, 0.5, -162, 855?\nAnswer: -162","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j - 4. Let h(d) = 16*d + 22. Let q(y) = 22*a(y) + 4*h(y). Let n(p) = -4 + 4 - 14*p**2. Determine n(q(g)).\nAnswer: -56*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13547967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 4 - 0. Let i = c + 13. What is the greatest common divisor of 81 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (2 + 1)) + (-6 - (-11 - -1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -174\/2527 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t**3\/5 + 262*t**2\/5 - 793*t\/5 + 106 = 0. Calculate t.\nAnswer: -265, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -266*p**3 - 9*p**2 - 3*p + 7. Suppose -12 = -7*u - 33. Let b be c(u). Suppose -6*l = -b - 8009. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*d - 64*d - 2*u = -13, -5*d - 20 = -5*u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 7:36 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 2*s**2 + s)*(-3103 - 2417 - 1152 - 254 - 893).\nAnswer: -15638*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -1\/3 (c) -655\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 65*t**3 + 5945*t**2 + 72800*t + 32340.\nAnswer: 5*(t + 14)*(t + 77)*(13*t + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z*z**(-1)))*z)**(-1\/2))**46*((z\/(z\/z**(-4)))\/(z*z*z**(-2\/13)*z))**(-1\/38) assuming z is positive.\nAnswer: z**(-11273\/494)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -489, -7, 2\/183, -0.4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 6:36 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 21792 divided by -6\nAnswer: -3632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bu when two letters picked without replacement from {u: 2, z: 1, b: 1, j: 1, k: 3, h: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**2 - 28*w**4 + 9*w + 15*w**4 + 17*w**4 - 1 to the form t*w**4 + o*w**2 + n*w + s + l*w**3 and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(637) - -4*sqrt(637)) + sqrt(637))*3)**2*-6.\nAnswer: -1238382 + 4536*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + 9 + -2 + -3 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + 2*w - 2*w**2 + (-2*w - w + 0*w)*(-219*w - 225*w + 341*w).\nAnswer: 307*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 50 = 5*j - 0*j, 2*m = -2*j + 20. Let f = -38 - j. Calculate the common denominator of 2\/f*(-126)\/4 and -65\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195716141717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 0.3 (b) 0 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dgd when three letters picked without replacement from {g: 4, d: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000010 - -1111010010?\nAnswer: 10001010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 + 23. Let j(y) = 132504*y**2 + 11*y + 7. Let l(d) = 33126*d**2 + 3*d + 2. Let m(t) = 2*j(t) - 9*l(t). Let c be m(p). Round c to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 50 = 5*q, 0*h + 5*q = 5*h - 55. Let t(w) = -3845*w - 25. Let r be t(h). Round r to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, r: 1, h: 4, i: 9, a: 2}. What is prob of picking 1 h and 3 i?\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + 5 + ((sqrt(400)*-5 - sqrt(400)) + sqrt(25))\/(sqrt(605)*2 - sqrt(605))).\nAnswer: -23*sqrt(5)\/11 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/15 + 165742*s**2\/15.\nAnswer: -2*s**2*(s - 82871)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.587 + -0.917. Let y = d + -3.7. Sort y, -0.3, 1 in descending order.\nAnswer: 1, y, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 97*q**4 + 70*q**3\/3 - 2*q**2 + 52*q. Let y be m(-5). What is y rounded to the nearest one hundred?\nAnswer: -11500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, g: 1, l: 4, q: 2, p: 1, r: 2}. Give prob of picking 1 t, 2 p, and 1 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 88096 - 176177\/2. Factor u*g - 13 - 1\/2*g**2.\nAnswer: -(g - 13)*(g - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**2*x**3*z + 153*g**2*x*z + 2*g*x**3 - 23*g*x*z + 3*x**2*z wrt g?\nAnswer: 4*x**3*z + 306*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/3)\/f)**10)**(-35)\/((((f\/(f\/(f*f*f**(-2)))*f)\/f*f)\/f)\/(((f*f*f**(-1)*f*f)\/f)\/f))**(1\/7) assuming f is positive.\nAnswer: f**(4903\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 6 + 2. Suppose b = t + 5. Is 2 + 1 - -24 - t a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 384114.\nAnswer: 2, 3, 64019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 1821*g**2 + 11*g - 67. What is the thousands digit of v(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86536 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 7*u**4\/24 - 2*u**3 + 6*u**2. Let l be b(7). Suppose -3*a + 2*a + l = 0. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2876 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: Two letters picked without replacement from {i: 1, f: 9, g: 5, q: 1, j: 2}. Give prob of sequence qf.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 11 - 6*i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3740 by 935.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30651 = -21*j + 23403. What is the smallest common multiple of j and 99?\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12331038449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s - 6098 - 2434 = 0. Calculate the lowest common multiple of 18 and s.\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -846642, -3386794, -7620454, -13547622, -21168298, -30482482, -41490174?\n\"Answer: -846754*t**2 + 110*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1602 a factor of 377903790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (380\/741)\/(2150\/9030).\nAnswer: 28\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 415566?\nAnswer: 2, 3, 23087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -87.813 and 132.\nAnswer: -11591.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/21*(-12)\/(-1). Suppose 0*z = -g*z - 32. Let q be (-1 + (-28)\/z)*2. Put q, 2, -4 in descending order.\nAnswer: q, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**6\/40 + j**4\/8 + j**3\/2 + 2308*j**2. Let s(r) = -2*r**3 - 4*r - 4. Give 6*l(d) + 5*s(d).\nAnswer: 8*d**3 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 115 = 24. Calculate the remainder when 16 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 - 2*(1 - 2). Let v(n) be the first derivative of -n**5\/60 - n**4\/8 - n**2\/2 - 1. Let p(i) be the second derivative of v(i). What is p(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1030814036 to the nearest integer?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*d**2 - 214*d + 85*d**2 - 27*d**2 - 32*d**2 + 160*d - 393*d.\nAnswer: -2*d**2 - 447*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 757 divided by -80.\nAnswer: -757\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d. Let g(a) = 4*a + 5. Let t(w) = -g(w) + 6*h(w). Let b be t(5). Suppose 4*j = b*v + 5*j, -2*v + 3*j = 0. Which is bigger: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.942836385+-2.8\nAnswer: -3.742836385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 363107*b**3 + 356698*b**2 + b wrt b.\nAnswer: 2178642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a week in seconds?\nAnswer: 45360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k - 1 - 4*k + 1.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1030, 2200, 3512, 4966?\nAnswer: 6562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -0.02816578?\nAnswer: -0.07183422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5869183, -11738372, -17607561, -23476750, -29345939, -35215128?\n\"Answer: -5869189*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -18. Suppose -3*t + 8*t = 4*v + 220, 0 = t - w*v - 55. Suppose -44*c + t*c = 28720. Round c to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dv when two letters picked without replacement from {v: 3, d: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 10542451215944?\nAnswer: 10542451215940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16494927 is divided by 3278?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 9) to base 15.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/3782 and -15\/14.\nAnswer: 26474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*20\/(-4)*572*113\/8814?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4834748547?\nAnswer: 3, 179064761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 275749\/67785 - 6\/4519. Let m = 14\/3 - w. Factor -6\/5 - 9\/5*o - m*o**2.\nAnswer: -3*(o + 1)*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1780 and 88240?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**4\/c*c**(-1\/7)\/c)**(-30\/11)*((c\/(c*c**(-3)*c))\/(c**2\/c))\/(c\/(c\/(c*c**0*c))*c\/c**(-1\/2)) assuming c is positive.\nAnswer: c**(-1585\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 3:01 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -149078*h**2*r**3 + 3*h**2*r**2 + 14768*h**2 - 2*h*r**2 + h*r wrt r?\nAnswer: -894468*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1910, 15013, 50522, 119639, 233566, 403505, 640658?\n\"Answer: 1867*j**3 + j**2 + 31*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -50, -54, -60, -68, -78?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**3\/12 + 123*q**2\/2 + 3781*q\/3 + 2274 = 0. What is q?\nAnswer: -18, -2, 758","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 199 and 11?\nAnswer: 2189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-5 + 5 + -12 + 7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 5. Suppose 78*f = 34*f. Solve 2*r = -5*j + 5*r + 5, x*r = f for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03543 + 0.030456. Round g to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -102c + -4b26?\nAnswer: -5b52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7810 divided by -49862\nAnswer: -3905\/24931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*f - 61 + 76 = 2548 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 49776931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -194557*j*x**4 - 12*j*x**2 + 637*x**2 - 3 wrt x.\nAnswer: -4669368*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1273.935 * 10\nAnswer: -12739.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/157 + 5153\/2198. Find the common denominator of 17\/50 and t.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p**5 + p**4 - 2*p**3 + 6*p**2 - 11*p - 3. Let y(z) = -z**5 - 2*z**2 + 3*z + 1. Let s(x) = i(x) + 4*y(x). Factor s(h).\nAnswer: (h - 1)**2*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103736853 divided by -7\nAnswer: -103736853\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 1\/2*i**2 + 6*i + 1\/3*i**3 + 8. Suppose -22*d = -28*d. Give b(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.487 from -136.\nAnswer: -136.487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(2106) - (-2*sqrt(2106) - sqrt(2106))*5) + sqrt(2106)))\/((-1*sqrt(88))\/sqrt(11) - -2*sqrt(648)).\nAnswer: -27*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l - 5 + 0*l**3 + 2*l**3 - 2*l**2 + l**2 + 15*l**3. Let z(t) = -18*t**3 + t**2 + 2*t + 4. Let m(n) = 3*x(n) + 4*z(n). Calculate m(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 - (40 - 155) - 71.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -96 or -678\/7?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 40\/((-27)\/((-89505)\/34))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1071, -1998, -2897, -3768, -4611, -5426?\nAnswer: -6213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - n**2 - 427*n - 4161. Give o(-10).\nAnswer: 1009","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*z + 97. Let k = z + -92. Solve 0 = 6*i - k*i - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oqoojoqqooqoq. What is prob of sequence ooqj?\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -41063 (base 16) to base 8\nAnswer: -1010143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 1)*(3*g**3 + 0*g**2 + 0*g**2) + (-8 - 3 + 6)*(-g**3 + 4*g**3 - 2*g**3) to the form l + j*g**2 + w*g**3 + z*g and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5369817, -5369813, -5369807, -5369799, -5369789, -5369777, -5369763?\nAnswer: -5369747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 27*z**2 + 25*z + 50. Let h be r(-26). Let u = 91 - h. Calculate the remainder when 108 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (14 + (2 - 6))) + 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - -16) + -18 - ((-1 - -1) + 18).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 (base 4) in base 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven fifths of a century?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -152, -330, -580, -902, -1296, -1762?\nAnswer: -2300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51282.6*0.147.\nAnswer: -7538.5422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 222072, 0.05 in increasing order.\nAnswer: -0.3, 0.05, 222072","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*s**3 - 6797*s**2 + 3695915.\nAnswer: -24*s**2 - 13594*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1253\/6 + -209. Let x = -3 + 2. Let q = -3 + 2.9. What is the nearest to 0.2 in y, x, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.48 + 136.91. Round w to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.6? (a) -1.6 (b) -774 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i + 76921 = 27*i - g, -3*i = 4*g - 46125. What is the ten thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -4*m - 5 - 7, 0 = -k + 2*m. Let n = -0.058 + 1.058. Which is the second smallest value? (a) k (b) n (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.1 - 5.9. Let u = 444 - 444.4. Let i = -6 - -2. Which is the closest to -2? (a) v (b) u (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 202, 207, 214, 223?\n\"Answer: r**2 + 2*r + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 91308096*r**4 + 4*r**2 - 8690513*r wrt r?\nAnswer: 1095697152*r**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -150, -146, -142?\n\"Answer: 4*x - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 3*x + 14. Suppose -21*f - 18 = -x*f. Solve -f*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 335.097s?\nAnswer: 0.0005540625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 7:02 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, g: 18}. Give prob of picking 2 g.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*q - 3672, -5*q = 2*p - 1716 - 146. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 8:52 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 414578581 + 0.66.\nAnswer: 414578581.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4815693 is divided by 118?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 5*v + 35. Let j be v\/(-3) + (-2)\/6. Solve -h - 2*u + 19 = j*h, 4*h - 2*u - 16 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 111*q**2 + q + 54*q**2 + 56*q**2 as a + d*q**2 + w*q and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002500106 rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (5 - (-6 + 7 - -5 - 3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -21. Suppose -2*w = -j + 6. Solve -w*f + 2*f = 5*l + 26, 0 = -4*l - 16 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 0. Let w(q) = -4*q. Let m be w(-1). Suppose -f = 4*t - 10, -m*t + 4 + 18 = -5*f. Put t, -2, g in decreasing order.\nAnswer: t, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7540.120538 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**3\/3 - 1168*i**2\/3 - 5716*i\/3 + 2296 = 0. Calculate i.\nAnswer: -287, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -8*w**3\/3 + w - 174. Let o(c) = -c. What is o(x(p))?\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 27?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -401 - -567. Is c a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 17?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 570 - 567. Suppose -2*i + 4*o = -50, -3*i = -v*o + 13 - 76. Calculate the remainder when 389 is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**7\/42 + 5*g**3\/3 + 27*g. What is the second derivative of q(a) wrt a?\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1049?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 722*u**2 - 185*u**2 - 119 - 184*u**2 - 186*u**2 - 179*u**2 to x + k*u**2 + g*u and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.29 + 1.29. What is the nearest to 57 in g, -0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 5*m - 10, -5*y + 10*m - 5*m = 10. Suppose j - 3*l + 15 = 0, y*j + 2*j - 2*l + 10 = 0. Factor 0 + j*x**2 + 0*x**3 - 2\/3*x**5 + 0*x**4 + 0*x.\nAnswer: -2*x**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77*0.8339\nAnswer: 64.2103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4 - 5*w**3 + 5*w**3 + 5*w**2 + w**3. What is the units digit of q(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 2*p - 104. Let g be (-4 + 1)*(-26)\/p. Let l(q) = q**g + 2*q**2 + 6 - 1 + 8*q - 2*q**2. Calculate l(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -136 + 149. Solve 0 = 3*g - p + 1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -292479.409938 - -292480. Let a = -0.59 + c. Round a to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5179739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 0*t**3 + 3*t - 4*t - t**3 + 3. Let v be o(0). What is the first derivative of 5*h**3 - 7*h**v + 4*h**3 - 1 wrt h?\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 361156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10048 + -104?\nAnswer: bb44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 27 and 49 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -273, -285, -295, -303, -309, -313?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -10*q + 57. Let s be x(6). Let d(w) = -4*w**2 - 2*w + 1. Determine d(s).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -162, -324, -486, -648, -810?\n\"Answer: -162*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/(-6) - 86\/(-24) and -33\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 88*t**2 + 5*t - 9. Let z(l) = -l**2 + 5*l - 3. Determine n(g) - 3*z(g).\nAnswer: 91*g**2 - 10*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 9:15 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 25*q. Suppose -5*t + s = -18 + 52, 4*s - 31 = 5*t. Let o(b) = -b**2 - 17*b. Calculate t*o(a) - 5*j(a).\nAnswer: 2*a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07341, -127, 2 in ascending order.\nAnswer: -127, 0.07341, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -916, -917, -918, -919, -920, -921?\nAnswer: -922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1872) + sqrt(1872)*-4 + sqrt(1872) - sqrt(1872))*5 - sqrt(1872))*-1)**2 + 1.\nAnswer: 479233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 + 33. Suppose 30 - 210 = -l*i. Does 15 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 1)*(-2 + 2 + 2*b)*((3 + 0 + 1)*(69 + 110 + 158) + 1 + 1 - 1)*(-b + 1 - 1) as s*b**2 + o + u*b and give s.\nAnswer: 5396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8915644 millimeters in kilometers?\nAnswer: 0.0000008915644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3273 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: Let r(y) = -3501*y - 826198. Determine r(-236).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 492*u - 828*u = -1008 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4223529?\nAnswer: 3, 19, 8233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16.2 + 16. Let a be 50\/(-4)*(3 - (-32)\/(-10)). What is the closest to v in 1\/3, a, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*-5*(sqrt(176) - (sqrt(176) - 6*(1 + sqrt(176)))))**2.\nAnswer: 27360*sqrt(11) + 636849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -p + 28. Let j = 79 - p. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7123 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -16271, -16278, -16285?\n\"Answer: -7*y - 16264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of 7*q**6\/120 + 8*q**5\/5 + 105*q**4\/8 - 49*q**3\/3 - 521*q**2 + q. Factor u(x).\nAnswer: (x + 7)**2*(7*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 52?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 18\/(-8))\/((-2)\/(-8)). What is the closest to u in -1, -0.6, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w + 2. Let y be v(-4). Let b = y + 8. Let q = 9 - 7. Is b bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 27, 146, 9\/8 in descending order.\nAnswer: 146, 27, 9\/8, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 26 = 30. Let l be (-3 - i)*-1*(-5 + 39). Suppose 3*f - 922 = -3*q + 4*f, -3*f = -2*q + 624. Calculate the greatest common factor of l and q.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + (-14)\/(-9))*(-702)\/780.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -0.003.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*x - 4996, -2*x + 12*z = 16*z - 4992. Is x a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/105 (b) 0 (c) -39.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -18, -19, -4, 33, 98, 197?\nAnswer: 336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280 - 95 + 2*s**2 + 58*s - 121.\nAnswer: 2*s**2 + 58*s + 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**5\/9 + 55372*r**4\/3 - 885788*r**3\/3 + 1660696*r**2\/9 + 1328662*r + 830420 = 0.\nAnswer: -1, 3, 15, 83042","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(315)*1 - sqrt(315)))\/(sqrt(40)\/sqrt(128)*-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*t - 29*t + 16*r = 97, -5*t + 60 = 5*r for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32442 + 64887\/2. Factor -21\/2*x**2 + 0 + 11\/4*x**3 + 49\/8*x + o*x**4 + 1\/8*x**5.\nAnswer: x*(x - 1)**2*(x + 7)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.08 + 0.08. Let k = r - -9. Let y = -4 + 7. Which is the closest to k? (a) -0.5 (b) y (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/3 + 1\/3. Suppose -m*q - 2*f + 2 + 1 = 0, 4*q - 3*f + 13 = 0. Let p = 225 + -3377\/15. Are p and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 13 = -4*l, 17*l + 2 = 2*f + 21*l. Let s be 1\/(4 - f - 0). Let y(h) = -1. Let k(t) = -5*t - 6. Determine s*k(d) + 6*y(d).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 245 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -62378*b**2 + 119721?\nAnswer: -124756*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**6\/120 + x**5\/12 - x**4\/6 + 11*x**3\/6 - 41*x**2. Let o be q(-5). Suppose 28*t + 120 = o*t. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 41*t - 5. Let y(w) = -20*w + 3. Let f(z) = 3*u(z) + 7*y(z). What is the remainder when f(-4) is divided by ((-19)\/3)\/(3\/(-9))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**4 - 5*g**4 + g**4 + (-1 - 3 - 3)*(-2*g**4 + 2*g**4 - g**4) in the form p*g**3 + y + u*g**4 + r*g + o*g**2 and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/45*-3*50. Let y be (m\/2*-1)\/(-2). Suppose 3*h - 2 = -y*x, 5 = 4*h + 3*x - 5. Solve -5*w - h = -24 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + u + 32. What is the remainder when u is divided by 85*(3 + (-56)\/20)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 39*j**2 - 37*j + 316. Let w be i(38). Put 3, w, -5, 1 in decreasing order.\nAnswer: w, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*u = -18*u + 31*u. Solve 21*t - 25*t - 12 = u for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 2:49 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9 + 10)*(-12)\/9*-3 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-2) + (-11)\/(-44). What is the nearest to 0.2 in 5, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 468 = 2*b, 3*c = c - 5*b + 183. Let r = c + -22. Does 36 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1f (base 16) to base 6\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -160 + 29. Let u = k + 227. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15735 (base 9) in base 11?\nAnswer: 8133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/(6\/9).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -157, -315, -471, -625, -777, -927, -1075?\n\"Answer: w**2 - 161*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(-2*m**3 + 5*m**3 - 4*m**3) + 6 - 28*m**3 - 6.\nAnswer: -30*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 271723471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/(z\/(z**0\/z))))\/z)**(2\/157)\/((z\/z**(1\/4))\/z)**(-34))\/((z\/z**(2\/5))**(-5\/4))**(-20) assuming z is positive.\nAnswer: z**(-7375\/314)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 + 90. Calculate the remainder when (36\/66)\/((-33)\/(-3509)) is divided by t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -4*h**7\/105 - h**5\/15 + 5*h**2. Find the third derivative of i(g) wrt g.\nAnswer: -192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 i when three letters picked without replacement from {o: 1, t: 7, i: 4, d: 2, y: 2, a: 1}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 5*a**3\/3 + a**2\/2 + 49. Let w(d) = -d. Determine w(v(u)).\nAnswer: -5*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4443 + -0.0443. Let h = 0.14 + -0.1. What is the second biggest value in -2\/15, f, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/45)*m*m\/((m\/(m*m**(-1\/2)))\/m))**(-34) assuming m is positive.\nAnswer: m**(-3893\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6 = -4*m - 17, -2*m = 6. Let g be (-4)\/(-8)*6\/j. Solve -w - 2*w - 4*o + 13 = 0, 3*o = -g*w + 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -502 + 2a2?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + l + 5, -5*p + 15 - 19 - 31 = -2*l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -7*v + 5. Calculate g(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3. Suppose -4*k - 1 + 13 = 0. Let z(a) = a**3 + 24. Let r(p) = 12 - p**2 - p**2 + 286*p - 292*p. Let o be r(-6). Give k*z(h) + o*t(h).\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 47766 and 4.\nAnswer: 191064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 4*w - 3. Let l(g) = -2*g**3 - 5*g + 4. Let z(b) = 2*l(b) + 3*s(b). Let n be z(1). Suppose n*u - 9 = -u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/52)\/(648\/(-864)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -i**2*j + 21*i*j + 14*i + 46*j + 97 wrt i?\nAnswer: -2*i*j + 21*j + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44402 (base 5) to base 14.\nAnswer: 11b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 10. Suppose -5*y = s, -4*q + y = -60 - 31. Calculate the remainder when 3 is divided by ((-3)\/(-2))\/(11\/q).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 24. Let y(i) = i - 7. Let w be y(u). Differentiate -2*v + 5 - 15 + 7*v**w + 2*v wrt v.\nAnswer: 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 9. Suppose 0 = -i*u + 3*u + 8. Solve -u*j - 9 = 7 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 1. Let c be o(3). Suppose -2*h - 3*d = h - 1155, 1531 = c*h + d. What is the common denominator of 19\/22 and 2\/3 - h\/132?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83648659\/1574 - 53144. Let y = 73185\/3148 + w. What is the common denominator of (-333)\/6*(-2)\/24 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 2660*t - 543 = -2663*t, -3*o + 451 = 2*o + t for o.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((112\/(-60))\/7)\/((-28)\/(-42))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (18 + 9 + -12).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54045 = -43*u - 4724. Does 71 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6403 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1112 divided by 278.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 518 divided by -14\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -923 - -5?\nAnswer: -91b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*(-7)\/(-14)*10\/(-4). Let d = 0 + -0.1. Which is the closest to d? (a) 0 (b) h (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-24)*9\/(-15)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2698 and 1030.\nAnswer: 1389470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - 2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3409, 3413, 3417, 3421, 3425?\n\"Answer: 4*m + 3405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**6*i + 3*d**4 + 55*d**3*i**3 + 2*d**2*i - 2*d**2 - 2*i**3 wrt d.\nAnswer: -240*d**3*i + 72*d + 330*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 2*j + 3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.26543 to two dps.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -16\/99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/2 - 7*f**2\/2 + 5*f.\nAnswer: f*(f - 5)*(f - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12101014 (base 5) to base 2.\nAnswer: 11011011111111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t + 2. Let z(s) = 21*s + 9. Let w(h) = 3*a(h) - z(h). What is w(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 54256?\nAnswer: 54253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -99, -125, -155, -177, -179, -149, -75?\n\"Answer: 2*v**3 - 14*v**2 + 2*v - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(308) + sqrt(308)*-1*6)\/(sqrt(1331)*2))\/((1*sqrt(12)*-1)\/(sqrt(27)*-2)))**2.\nAnswer: 1575\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {o: 9, j: 6, k: 1, b: 3}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 12 = -4*x, -4*z + z = -3*x + 24. Suppose 6*i - 123 = 3*i + 3*g, -x*g - 76 = -2*i. Calculate the remainder when i is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51844 - -22552154\/435. Find the common denominator of y and -56\/957.\nAnswer: 4785","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 0*n = 5*n - 25, 3*n - 15 = 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13894 - -1069818\/77. What is the common denominator of j and ((-4)\/210)\/((-12)\/(-981))?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -15*g**2 + 118*g - 455. Give x(4).\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -615622+264\nAnswer: -615358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 35630+-0.051\nAnswer: 35629.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1 - 0.71. Let n = t + 0.31. Let q = -0.6 + n. Which is the second smallest value? (a) -2\/9 (b) 2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*p + 87 = 0. Let o = 91 + p. Let a(h) = h**3 - h + 2. Let l(i) = -i**3 + 2*i - 3. What is o*a(m) + 3*l(m)?\nAnswer: m**3 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (1 + 1 - (2 + 3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -505 (b) 11 (c) -121\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 162*u**2 + 3443*u + 836. Give o(-181).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + s**2 - s - 1. Let g(f) = 628*f**3 + 471*f**2 - 471*f - 471. Give -g(k) + 471*i(k).\nAnswer: -157*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*u + 31*u = -36. Solve -5*y = -4*g - 1, -2*y + u = 7*g - 10*g for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 64 = -36*z. Suppose m - 4*k = -0*k - 9, -2*m - 4*k = -30. Let v(q) = -3*q**2 - 3*q. Let w(p) = p**2 + p. Give m*w(a) + z*v(a).\nAnswer: a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 - -110001?\nAnswer: 110030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 754 + 2717?\nAnswer: 316b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -584 (base 10) to base 9\nAnswer: -718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in 2, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(3\/5)*y)\/y**(2\/33))**(-38)*(((y*y**7\/y)\/y)\/(y*y**(4\/7)))\/(y*y**2)**29 assuming y is positive.\nAnswer: y**(-162934\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 4440?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 10*t**2 + 28*t - 18. Let a be f(12). Find the second derivative of -30*m**2 + a*m**2 - 11*m - 13*m**5 wrt m.\nAnswer: -260*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + n - 1 + (1 + 5 - 5)*(3 - 2*n - 3) + 3*n - 7*n + 2*n + 2*n + 1 - 1)*(2*n - 3*n + 0*n) to i*n**2 + g + j*n and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-6) - -1 - (-136)\/(-24).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123 (base 4) to base 10.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*u + 84 = 6*u. Put 2\/5, 0.85, u in decreasing order.\nAnswer: 0.85, 2\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*q + 4. Suppose d - 10 = -2*l, 2*l = 5*d + 5*l - 15. Let w(j) = -4*j + 1. Let n be w(-1). Put n, d, q in increasing order.\nAnswer: q, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -9*w**3 + 2*w**2 + w - 2. Let m be o(1). Calculate the lowest common multiple of (-2)\/1 - 1*m and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3712319.\nAnswer: 13, 29, 43, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5817 plus -0.24395576?\nAnswer: -5817.24395576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -95343.8 + 27\nAnswer: -95316.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 783995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 94*y**3 + 2 - 95*y**3 + 13*y**2 + 0. Let d be q(13). Which is bigger: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-154)\/42 - (-4)\/6. Let b be -1*12\/(9\/n). Solve 4*w - b = -3*k, -2*w + 5 = -4*k + 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -98, -143, -190, -239, -290?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/11*v**2 - 10\/11*v**3 + 12\/11 + 14\/11*v = 0. What is v?\nAnswer: -1, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**3 + 2*p**2 + 6*p - 7. What is the remainder when d(-3) is divided by (-2)\/4*-6 - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-5)*b\/(b*b**6))\/(b**5*b\/b**0*b))\/(b**(-3)\/b**(-1))**(-39) assuming b is positive.\nAnswer: b**(-85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/(36\/(-9)))\/((-6)\/3))\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j + 5. Suppose 4*u - 7 - 9 = 0. Let w be t(u). Let q be 4\/w*12\/(-8). Which is the nearest to q? (a) 3 (b) -3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200 (base 4) to base 16\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 83? (a) -3 (b) 96 (c) -0.2 (d) -4\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 3*b + 11 = 0, 5*b - 5 + 18 = -4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36468536 and 806.\nAnswer: 1130524616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**5 - 454984*d**4 + 12936332384*d**3 + 103520235112*d**2 - 12936332388*d - 103519780128 = 0.\nAnswer: -8, -1, 1, 56877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51.4 + -19.\nAnswer: -70.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*b = 81*b - 21. Solve -b*g + 4*o = 10, -2*g - 12 = -3*o - o for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 55980422?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 12:38 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*n**4 - 6471*n**3 - 2*n**2 + 43597*n wrt n?\nAnswer: -96*n - 38826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 622 - 8495*g - 622.\nAnswer: -8495*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -2*u + 4*u. Let d be (0 - (-12)\/15)*-20. Let t = u + d. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 0.090517530335?\nAnswer: 2.909482469665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -568 + 577. Let z be 2\/(3 + 5\/(-2)). Solve 3*d - w = -z*r, -12 - 3 = -5*r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002076 to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 - 11. Suppose 30*u = n*u + 2. Determine p, given that 4*p - 5*p - p**u + 492 - 491 + p**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/18)\/((-2)\/(-3)). Let b be (-4 - -17)\/(2 - g). Suppose 2*u + b = 37. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6005*y - 6002*y = -4*n - 41, n + 23 = -5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35 and 265?\nAnswer: 1855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1076 (base 10) in base 11?\nAnswer: -899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 6 = -5*n - 0, 0 = n - 2*k + 6. Let p be n - (4\/2)\/(-2). Suppose -5*s - 2*y = 1 + 3, 23 = -4*s + 5*y. Is p > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 - -52150.\nAnswer: 52166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -3*c - c + h, -4*c - 52 = 2*h. Which is smaller: -2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264013 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 32.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 121666640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 10\/241, -9, 5, 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2 - 4. Let o(j) = -213*j**2 - j. Give o(c(s)).\nAnswer: -852*s**4 - 3406*s**2 - 3404","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38485991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -6) + -2 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3\/23)\/(t\/(t\/t**(1\/3))))\/(t**2\/t**(-9\/2)))**(-13) assuming t is positive.\nAnswer: t**(12493\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 293836928 a multiple of 1078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 144663617 to the power of 1\/3, to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 1:55 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-516)\/(-2150)*-2*(136\/48)\/17\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6602, 12957, 19312, 25667, 32022, 38377?\nAnswer: 44732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5765337 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1404 (base 6) to base 10.\nAnswer: -364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*t - l = -105*t - 14, 10 = -t - 5*l for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*z = -5*m - 250, -3*z - 3*m - 384 = 0. Let f = z + 381. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k + 17. Let r be f(13). What is the third derivative of -4*c**2 + 0*c**2 + 3*c**4 + c**r + 7*c**2 wrt c?\nAnswer: 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-5))\/(-8 + 187\/22).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -6*k**3 + 2*k**2 + 14*k - 15. Determine g(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2, -2\/15, -0.2, 0.06?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/3)\/((-22605)\/209610)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 510*i + 3113. Determine j(516).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11220.6 and -0.323.\nAnswer: -3624.2538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 192 or 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-207)\/(-36) - 5)*308\/234 and 8\/32 - (-139)\/(-24)?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, d: 6, j: 2, i: 1, e: 9}. What is prob of sequence dd?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6603 and 186.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -3*j - 42 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 15.2, 23, 1\/4 in increasing order.\nAnswer: 1\/4, 1, 15.2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -q**6\/21 + 2*q**5\/35 + q**4\/7 + 12. Factor g(i).\nAnswer: -2*i**3*(i - 2)*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -80977325*v*y - 8887047*y + 11 wrt v?\nAnswer: -80977325*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 119200343?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -12 + -25 + 14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8839.08 - -8985. Let s = p + -143. Round s to 1 dp.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -r**3\/4 + 373*r**2\/8 - 31*r - 5955. Let h(u) = 0. Calculate u.\nAnswer: 1\/3, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/((h**(4\/5)*h)\/h))\/(h*h**(-1\/2)*h)*(h**(-1\/3))**(-40))**(-2\/11) assuming h is positive.\nAnswer: h**(-391\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of 955*b**4\/12 + 2*b**3\/3 + 2*b**2 + b - 18. What is the units digit of t(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 645661511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.02 - -3.72. Which is the smallest value? (a) 2\/7 (b) 0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, -2, -3\/4, 1.6, -0.1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 88*r**2 - 89*r**2 + 92 + (-2 - r + 2)*(-5*r + r + 5*r) + 0*r**2 - 6*r**2 + 4*r**2)*(-4 - 2 + 2).\nAnswer: 16*r**2 - 260","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/10 - (-12)\/5. Suppose -2 = -y*q + 2. Calculate the least common multiple of 69\/(-46) + (-23)\/(-2) and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*-1*21\/(-12). Suppose c - 17 = -g. Solve -c = -2*k + t, 7*t = -3*k + 3*t + 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -512.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -127 + 120. Let b be (-2922)\/42*o - (1 + 0). Are 0.1 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 2 + 0 + -436 + 406?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 2*a + 3. Suppose a*m = -m - 8. Find the common denominator of 29\/8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + a = -910. Suppose 974 + a = 6*n. List the prime factors of n.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 4:41 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2 = -4*l, l + 0*m - 5*m = 17. Suppose 0 = 2*j - l*p - 12, 4*p - 40 = -5*j + 26. Calculate the greatest common divisor of j and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - -9) + -4 + 4. Suppose -4*a - a = -y. Solve 3 = a*z - 5 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, z: 2, o: 2, r: 2, m: 1, i: 1}. Give prob of picking 1 i and 1 q.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 247197 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**3 + 3360*o**2 - 1679*o**2 - 1681*o**2.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6532 - -5568. What is w rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 26 - m**2 + 1 + 23.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -24*b + 1. Let k be -6 - ((-5)\/7 - (-4 - 90\/(-21))). Let n(j) = 23*j - 1. Calculate k*n(t) - 4*v(t).\nAnswer: -19*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -471 + 755. List the prime factors of x.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3363.\nAnswer: 3, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 63*d + 71*d**3 + 12*d**3 + 4*d - 22*d**3. Let n(f) = 182*f**3 + 202*f. Let i(s) = -7*h(s) + 2*n(s). What is the second derivative of i(y) wrt y?\nAnswer: -378*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 18864090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + (-4 + 4)\/4. Suppose 0 = v + c - 2795, -a*c + c - 13925 = -5*v. Round v to the nearest one hundred.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9163559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 93 + -105. Let k(f) = 159 - 325 + 177 - 2*f. Determine k(m).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -b**3\/2 - b**2\/2 - 2*b. Is k(-10) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4297249114 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -26*o. Let j(q) = -2*q. Let d(w) = 28*j(w) - 2*x(w). Let y(n) be the second derivative of 0*n**3 + 1\/2*n**4 - 3*n + 0*n**2 + 2. Give y(d(h)).\nAnswer: 96*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -669*i = -662*i - 56889. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 + 101*z**3 + 127*z**3 - 55*z**3)*((-z + 0*z - z)*(5 - 3 + 0) - 2*z + 2 - 2).\nAnswer: -1038*z**4 - 18*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**3 - 103*c**2 + 53*c - 1. Calculate m(-52).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15419 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 555*y. Let m(p) = 56*p. What is m(g(t))?\nAnswer: 31080*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((-1 - 7) + 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24311853?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -5618 and 1.98 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 4*v**2 - 4*v - 2. Does 11 divide i(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218 = -9*h - 146 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*b - 92 = 76 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18884?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 2*d - 812. Give h(-28).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.57 - -15.57. What is the biggest value in -5\/22, -2\/9, j, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - ((-2 - 2) + (-34 - -20) + (23 - 1)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 10:43 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 121429*a**4\/3 - 4*a**3 - a**2. Let c be k(7). Round c to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 7 - 47. Let b = -6 + q. What is the third derivative of -2*i**2 - i**2 - b*i**3 + 7*i**2 wrt i?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5502 - -5564. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + f + 3. Let v be x(0). Let q(o) = 3*o**2 + o + 2. Let r be q(-2). Calculate the highest common factor of v and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*w - 76279, -15*t - 101702 = -4*w - 17*t. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2\/3 + 70432*t\/3 + 620083328\/3 = 0. Calculate t.\nAnswer: -17608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4222672, 8445326, 12667980, 16890634, 21113288, 25335942?\n\"Answer: 4222654*x + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from ooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-46))\/((17\/(476\/42))\/(-1)).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**3*y\/(y*y\/y**(-6)))\/(y**1)**(-4\/13))\/((y\/(y*y**(1\/6)))**(2\/113))**8 assuming y is positive.\nAnswer: y**(-16168\/4407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-717)\/182*(-1)\/(-22). Let w = 1\/364 - x. Which is the nearest to 0? (a) 3\/8 (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 35\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1572 (base 13) to base 16\nAnswer: c3f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/22 (b) -4.87342 (c) -0.5 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/206899 and 73\/150472.\nAnswer: 1655192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2003923 + 2003921. Let u = 848 + -594. Suppose -3*d = 3*j - 138, -5*j + d + u = -0*j. Sort 5, j, w in ascending order.\nAnswer: w, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 4 = 12*u - 15*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -293 - -289. Which is the closest to j? (a) 2 (b) 5\/4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {f: 6, y: 1, w: 3, q: 4, u: 1}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) -1 (c) -0.4 (d) -3 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4 = 2. Let q = -0.09 + 2.09. Which is the second smallest value? (a) x (b) -2\/9 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1183129*m**5 - 10*m**4 - 5*m**2 - 482549631*m.\nAnswer: 23662580*m**3 - 120*m**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23434446*u**3 + 4*u**2 + 1162719*u?\nAnswer: -140606676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.39550927 to one dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 67*k**2 - 7307*k + 29229. Calculate b(4).\nAnswer: 1073","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, b: 8}. What is prob of picking 4 e?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*i + 220 = 0, -4*u + 8*u + 3*i - 207 = 0. Suppose u*l - 37*l = 44. Let o(c) = 2*c - 8. Calculate o(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 8*o + 40 = 3*o, 0 = -q - 5*o - 16. Let a = 4 - 0. Suppose 2*j + a + 6 = 0. Is q smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 113.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 43, 79, 129, 193, 271?\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + c + 105, 0 = -2*d - 3*c + 13 + 72. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -j**4\/4 - 14*j**3\/3 - j**2\/2 - 9*j - 3. Let w be v(-14). Solve 3*u + u = -4*c - 4, c - w*u - 5 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/30*(9 - 4). What is the second derivative of -172*y**3 - 3 - 11*y - q*y + 273*y**3 wrt y?\nAnswer: 606*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5931 - 5895 = 18*l. Solve 2*t - 5*k + 27 = 0, 0 = 5*t - l*k + 15 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589.12384 rounded to the nearest 10?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (120\/(-300))\/((-1)\/30).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (100\/15 - 64\/24) + (-43)\/5\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 e when three letters picked without replacement from ehhhjjjjjjhhhhpj?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 494 - 476. What is the smallest common multiple of 26 and z?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 11*d - 5. Let b(j) = -16*j + 8. Let h = 286 + -278. What is h*y(t) + 5*b(t)?\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -95868 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -133*j**2 - 19*j - 4?\nAnswer: -266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**3 - n + 2. Suppose 4*w = w - 3*i + 12, -i + 10 = 4*w. Let t be r(w). Solve -t + 1 = -3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5 - 1758*z**4 + 774397*z**3 - 1543524*z**2 + 770884*z.\nAnswer: z*(z - 878)**2*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -33, -84, -135?\n\"Answer: -51*r + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-12)*-1*6. Suppose -8 = -h*p + 4. Suppose 3*u = -8*j + p*j + 49, 5*u = -4*j + 86. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3793*u**2 - 18952 wrt u.\nAnswer: 7586*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1580 is divided by 32?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 6*o - 127. Let d be r(22). Solve 3*l = 8*l - 5*m + 10, -d*m + 2 = 3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -960829, -960873, -960917, -960961, -961005, -961049?\n\"Answer: -44*w - 960785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04 - 0.54. Let h = 1.5 - o. What is the third biggest value in h, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a**5 - 35953*a**4 - 481*a**3 + 443332731*a**2 wrt a.\nAnswer: 180*a**2 - 862872*a - 2886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -4*u - 10, 2*u - 5*u = 3*x + 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79345491.\nAnswer: 3, 499, 53003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b041 (base 12) to base 15.\nAnswer: 12e04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 4*d**2 - 21*d + 15. Give t(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n = 73*n + 6*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 522423719 to the nearest integer?\nAnswer: 22857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**2 + 12*o - 2. Let u be h(-7). Suppose 3*b - u = 389. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 13*b + 12. Let u be s(12). Suppose -4*y = -2*g + 24, u = 3*y - 5*g + 4 - 0. Which is smaller: -6 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1993 and -0.24.\nAnswer: -1993.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15.95 - 21.95. Which is the nearest to 1? (a) 4 (b) 0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 740333 and 20542511.\nAnswer: 6919","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6*p**3 - 5*p**2 - 4*p + 2. Let h(w) = 19*w**3 + 17*w**2 + 13*w - 7. Give -2*h(d) - 7*r(d).\nAnswer: 4*d**3 + d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, r: 1, l: 1, p: 2, q: 1}. Give prob of picking 1 r and 1 l.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 k, 1 r, and 1 d when four letters picked without replacement from dkuuyrrq.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1465703 and -20.\nAnswer: -29314060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 82843000 rounded to the nearest 1000000?\nAnswer: 83000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 46, 60, 88, 136, 210, 316?\n\"Answer: y**3 + y**2 + 4*y + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (143\/((-2288)\/(-128)))\/(1\/(18\/8))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 8:43 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2854*b**4 + 5*b**3 + 10*b + 78702 wrt b.\nAnswer: 34248*b**2 + 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.167 rounded to two decimal places?\nAnswer: -1.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 6*m**2 + 7*m + 10. Suppose 0 = -3*n + 18 + 3. Is y(n) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9650, -9569, -9356, -8945, -8270?\n\"Answer: 11*l**3 + 4*l - 9665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.8 rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 10:03 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 78 + -56. Let t(s) = 4*s + 20. Let m(o) = -9*o - 39. Let f(z) = 3*m(z) + 5*t(z). Let q be f(-15). What is the greatest common factor of d and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qqqqqqqqqqqiqqqqqqiq.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/(((y\/(y**2*y)*y)\/y*y)\/y)))\/y*y*y*y**(-2)*y**(-1\/3)*y**(-1\/2)*y*y)**9)**(-43) assuming y is positive.\nAnswer: y**(1419\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*p - 23945 = -26103 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8484 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2445405?\nAnswer: 3, 5, 163027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 669847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -383*d - 599*d + 548*d to c*d + p and give c.\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 + t**2 + 0*t**2)*(-3*t + 1 + 2*t - t).\nAnswer: -8*t**3 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 + 33 = 5*h - m, -4*h - 16 = -3*m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 108770 (base 9) to base 16\nAnswer: ffe7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007848 to seven dps.\nAnswer: -0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 790*-436\nAnswer: -344440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -254.37 - -255. Let w = 0.63577 - z. What is w rounded to four dps?\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 1299460071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -70c (base 15) to base 8.\nAnswer: -3063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 10*p**3 - p**2 - 2*p - 2. Let y be g(-1). Is y != -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 3*z. Calculate v(-6).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n = -99 + 135 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u**3 + 3*u**2 - 7*u - 2. Let z(f) = 5*f**3 + 2*f**2 - 5*f - 3. Let p(l) = -3*d(l) + 4*z(l). Calculate the lowest common multiple of p(2) and 44.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -565561, -1131111, -1696657, -2262199, -2827737, -3393271, -3958801?\nAnswer: -4524327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 3065446\nAnswer: 1\/3065446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -211041 + 4?\nAnswer: -211032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1164, 1166, 1168, 1170?\nAnswer: 1172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 5:56 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -476*j*s**2 - 169*j*s wrt s.\nAnswer: -952*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*n - 13 - 3*n - 9*n - 4*n + 19*n as d + g*n and give d.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**2 + 76*i = 0.\nAnswer: 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -v**4\/24 - v**3\/3 + 3*v**2\/2 + 20*v - 10. Let u(n) be the second derivative of d(n). Calculate u(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63771.\nAnswer: 3, 29, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238992?\nAnswer: 2, 3, 13, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 964 - 961. Solve j*z + 0 = -c - 13, z = -c - 3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21545530 - 2?\nAnswer: 21545524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((4\/276*6)\/((-198)\/396))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4083081 and 12?\nAnswer: -48996972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, s: 1, t: 3, l: 2}. What is prob of picking 1 s and 2 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 385.9306 decades?\nAnswer: 3.859306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2589480\/440 + (-2)\/11. Suppose -4*k + p = 5*h, -2*k = 5*h - 4*k - 5885. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 - 26*n + 21. What are the prime factors of u(17)?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1546545713?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**3 + 5. Suppose -16 = -0*y - y. Let z(g) = 10*g**3 - 26. Let x = 293 + -290. Calculate x*z(i) + y*a(i).\nAnswer: -2*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3213)\/15)\/7 + (-4)\/10 - 25490\/2549.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10186 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-6)\/(-8)*-2*(-20)\/(-5).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 11 = -u - 4*b, b + 23 = 5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -171 - 167?\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*4244821\nAnswer: -1697928.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = 5*n - 255. Let t be (8 - 7 - -3*n)\/2. Suppose t*b - 22*b - 280 = 0. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.393188ms to minutes.\nAnswer: 0.0003232198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267*l**3 + 2047*l**2 - 2047*l**2.\nAnswer: 267*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -12*o + o**3 + o**5 + 0*o**2 - 27 - 9\/4*o**4. What is the third derivative of m(g) wrt g?\nAnswer: 120*g - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3107522 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 1)\/((-2)\/10). Suppose a + 5 = 5*l. What is the third derivative of t**3 + t**l - 5*t**3 + 3*t**3 wrt t?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(1\/3*(-1)\/21). Calculate the remainder when (-348)\/(-4) - 6\/2 is divided by ((-34)\/(-6))\/((-21)\/v).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 17 - 31 = -66 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, -0.2, -631, -5?\nAnswer: -631","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**2. Let m(u) = -5*u - 5890. Give r(m(i)).\nAnswer: 75*i**2 + 176700*i + 104076300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/12)\/(1\/6). Suppose v*d = 6*d - 20280000. What is d rounded to the nearest 100000?\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + -2. Let x = u + 17. Let o = x + 4. Which is the biggest value? (a) -1 (b) -6 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 16 = 5*w + 5*k, w + 3*k - 4 = 0. What is the third derivative of -11*b**4 + 207*b**2 + 3*b**w - 169*b**2 wrt b?\nAnswer: -192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*(-3 + 3 + 2)*(r - r - r - 2).\nAnswer: 4*r + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 6. Let f(v) = 0*v**2 + 2*v + 2*v**2 - 4*v**2 + 3*v**3 - 4 - 2*v**z. Let p be f(3). Calculate the highest common factor of p and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -7. Let z be 19\/r - 3\/(-12). Let c(y) = 2*y + 2 + y**3 - 1 + y**2 - z*y**2. Calculate c(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1756802.261 + 0.1.\nAnswer: 1756802.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30\/493 + 553\/986. What is the closest to -7\/9 in -0.6, a, -2\/5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8719931297 take away 12?\nAnswer: -8719931309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 78*g + 14. Is 8 a factor of o(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5081707488 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five eighths of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**7\/210 + 11*n**3\/6 - 9*n**2 - 12*n. Let b(i) be the first derivative of r(i). Differentiate b(s) wrt s.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r - 48 = 3*d - 10*r, 3*r = -4*d - 66. Let x(p) = p**3 + 17*p**2 - 20*p - 36. Let n be x(d). Solve 15 = -3*a + 7*a - l, -5*a + 2*l + 18 = n for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 10:12 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17232 + 310289\/18. Let g(x) = 3*x**3 + 13*x**2 + 4*x - 5. Let r be g(-5). Find the common denominator of d and r\/18*(-306)\/60.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10473 + 10478. Which is the third biggest value? (a) -7 (b) 0.5 (c) -0.06 (d) k (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7614 and 1001808.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 196997*b + 148*b**4 - 196997*b + 0*b**3 + b**4 + 0*b**3 + (b**2 + 0*b + 0*b)*(-2*b**2 + 2*b**2 - 2*b**2).\nAnswer: 147*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + 2a?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 z when four letters picked without replacement from zrzrzzzzz?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-27))\/(2\/(-3)). Suppose 11*c + 3*c = -14. What is the second smallest value in 3, 1\/5, c, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 213043591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 4:25 PM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -3, -1357?\nAnswer: -1357","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 10092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -25*m + 1\/20*m**5 + 18*m**2 - 11\/12*m**4 + 4*m**3 + 6. Let i(p) be the first derivative of h(p). What is n in i(n) = 0?\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 33*v**2 + 236*v + 91. Let i be u(22). Which is the closest to -1\/2? (a) i (b) 3 (c) -0.15 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 2:13 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -4, -9\/4, 3?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 308, 421, 602, 845, 1144, 1493?\nAnswer: 1886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15690431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 93*l**4 - 34*l**4 + 2 - 28*l**4 - 13*l**3 - 6*l - 33*l**4 in the form i*l + m*l**2 + h*l**3 + n + r*l**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -2*z**3\/3 + z. Let g(a) = -a. Let c(y) = -15*g(y) + 3*w(y). Let i(o) = 5*o**2. What is c(i(q))?\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4 - 40 = 0. Let f be -1 + (-3)\/(3*-1). Suppose l - 5*q = -11, -4*l + f*l + q + 32 = 0. Calculate the highest common divisor of l and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 15*i + 12. What is the hundreds digit of g(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 3*c = -15, -275 = -3*h - c - 290 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4655056 to the power of 1\/2, to the nearest integer?\nAnswer: 2158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 + 32. Suppose -2*v = 5*h - 697, -h + 338 = v - q*h. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 7) to base 15\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = 2*p - 45*m, -3*p - m + 22 = 9 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.090814 rounded to 3 decimal places?\nAnswer: 0.091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y - 3. Let c be z(3). Let u be (-1)\/(1*(1 + -2)). Which is smaller: c or u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12289375 divided by 6625.\nAnswer: -1855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, 12, -0.4, 3, 6, 1\/2 in ascending order.\nAnswer: -0.4, -0.04, 1\/2, 3, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/(-2)*-14*(-18)\/63. What is the greatest common divisor of b and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lfrrrlfflrr. Give prob of picking 3 f.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-21 - -10) + 13 + -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + q - 2 = 0, -3*i + 5904 - 5912 = -4*q for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4975.119 days to milliseconds.\nAnswer: 429850281600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bq when two letters picked without replacement from bubzuzfzzzbqbbff.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.68 - 4.601. Are 1\/6 and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -19*a**2 + 8. Let u(g) = -5*g**2 + 2. Let b(o) = 2*i(o) - 9*u(o). Differentiate b(t) with respect to t.\nAnswer: 14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*h = 61*h + 4. Let f be ((-2)\/(-5))\/(-2 + (-889)\/(-35)). Which is the third biggest value? (a) h (b) f (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 272*t**2 + 300*t**2 - 8.\nAnswer: 28*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16\/1259 - -1195\/5036. Determine o so that k*o**2 + 11*o + 121 = 0.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 - 12*g - 8. Let n be a(-6). Suppose 10*y - 14 = n. Is 29 a factor of 60\/8*348\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20085885*s - 10042951*s - 10042923*s.\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -18. Put 2, k, 5 in descending order.\nAnswer: 5, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*c + 4 = 0, -5*h - c - 44 = -2. Let s = h - -6. Let u be (5\/(-2) - s)\/(-1). Does u = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 389 = -5*r + 465, -3*q = 3*r - 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**5 - 394200*y**4 - 26801043*y**3 - 26406844*y**2 = 0 for y.\nAnswer: -394132, -67, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 79909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15795 - -16267. Which is the second biggest value? (a) 0 (b) j (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 196 + -192. Let g = 17 + 15. Solve 0 = -4*s + s - 5*m - 13, 3*s = k*m + g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.459311506 rounded to 4 decimal places?\nAnswer: -0.4593","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-914)\/(-10) - ((-85)\/(-25) - 3). Let z = -96 + d. Suppose -3 = 5*i - 2*i. Sort -9, z, i in ascending order.\nAnswer: -9, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 6. Let f be h(0). Suppose k - 4*r - r - 30 = 0, -4*k = 2*r - 10. Suppose -5*v + 33 = -k*u + 13, -4*u + 2 = 2*v. Solve f*l + 12 = v*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hyyssyjhyyyyyyyhjyu. What is prob of sequence su?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7554203.322 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 4*o - 17. Suppose -o - 3 = -3*x. Suppose -j - 4 = 2*n - x*j, 4*n + 14 = 2*j. Which is the third biggest value? (a) n (b) 2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2076 times 0.5\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 644232.\nAnswer: 2, 3, 17, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 671 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*k**2 + 2*k**2 - 5*k - 8*k - 761 + 760 to the form t*k**2 + r + w*k and give w.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 250914 greater than 250971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 2*f + 33. Suppose 8*r - 16 = -f*h + 3*r, 2*r = 4*h - 44. Suppose -10*q + 21 + h = 0. Solve 4*u + 12 = 3*g - 0*u, q*g = -u + 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/179592 and -17\/2828.\nAnswer: 18138792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2. Let j(q) = 1195*q**2 - 171027*q + 2. Calculate j(r(p)).\nAnswer: 1195*p**4 - 171027*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 3\/2*g**2 + 0*g + 11\/4*g**3 + 3\/2*g**4 + 1\/4*g**5 = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5172, 5175, 5178, 5181, 5184?\nAnswer: 5187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5809459727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 156 + -623\/4. Let o = -217\/988 + 5\/76. What is the smallest value in n, -0.15, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 806999?\nAnswer: 806999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.7 + 1.1. Sort -2\/3, -1, z in descending order.\nAnswer: z, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-4)*144\/27.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 709891748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 2*f + 2*f)*(0*f**3 - f**3 - f**3 + (-8 + 3 + 3)*(f**3 - 2*f**3 + 3*f**3)).\nAnswer: -30*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4)*a**(-1\/7))\/(a\/(a*a**(1\/3)\/a*a)*a*a*a*a*a**(-2\/13)\/a) assuming a is positive.\nAnswer: a**(-1817\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - -16. Let y be -7 + 110\/10 - (-2 - 36). Let l = y - t. Which is smaller: l or 6\/23?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*5*((-5 + 1 + sqrt(272) - sqrt(272) - sqrt(272)) + -6*(sqrt(272) + -1)))**2.\nAnswer: -8400*sqrt(17) + 999900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**8\/840 + a**7\/84 - 9*a**6\/200 + 13*a**5\/150 - 11*a**4\/120 + a**3\/20 + 71*a**2. Let j(b) = 0. What is b?\nAnswer: 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q + 4*p - 18, 13*p - 25 = 5*q + 10*p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*u + 4*u**2 + 56*u - 28*u to j + w*u + f*u**2 and give w.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1212017, -2424017, -3636017, -4848017, -6060017?\nAnswer: -7272017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -846 + 849. Solve -s - 5*a + 19 = 0, 2*a - g = 4*s + 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - p - p)*(p**3 + 0*p**3 + 0*p**3) - 1 + 1 + 4*p**4 + p**4 - 1 + 1 - 2*p**2 - 2*p**4 + 2*p**2.\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 55.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 77 = -3*h, -2*d + 4*d + 4*h - 42 = 0. Suppose 0 = -6*o + d - 1. Let a be 1*-1 + 0 + 3. Solve 0*r + 2*r + 4 = o*u, 0 = -2*u + a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (890\/(-30) - -31)*(0 - -1*6) + 48?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**3 + 7*f**3 + 83*f**2 + 5 - 3*f**3 + 2 - 4*f**3 as t + k*f**2 + z*f + y*f**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**3\/9 - 38254886*m**2\/9 - 60976518995522*m\/3 - 20325502081298 = 0 for m.\nAnswer: -9563721, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 19*f**2 + 16*f - 1. Let z(n) = -7*n**2 - 5*n. Let y(t) = 4*h(t) + 11*z(t). Suppose 3*s - 3*m = 2*s + 12, -2*s = 5*m - 2. Determine y(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*f - 16 + 16)*((-80*f**2 + 55*f**2 + 52*f**2)*(0 - 1 + 0) + (2 + 0 - 3)*(0*f**2 - 4*f**2 + 5*f**2)) to d + j*f**3 + l*f**2 + h*f and give j.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -42*k - 296 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from tzqqqztnzt?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6882 and 3065524.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4098, 8198, 12298, 16398?\nAnswer: 20498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 10 = 2*m. Let g(j) = -j**3 + 6*j**2 - j - 6. Let v be g(m). Let a be v\/6 - (-5)\/(-15). Solve 2*i + 8 = -a*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68327)\/(-52437) + (15\/11 - 1)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1554 and 133497?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 4, -645, -1 in decreasing order.\nAnswer: 4, 1, -1, -3, -645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (74\/10)\/((36 + 48)\/(-1260))\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqbdddhbhqhqqh. What is prob of sequence dqhq?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5800 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.19 in -0.03, -4, -64898?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 341, 435, 529?\n\"Answer: 94*u + 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 255*s**3 - 13123318*s**2 + 168844532192*s + 1324271648.\nAnswer: (s - 25732)**2*(255*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*u**4 + 586*u**3 + 103*u**2 wrt u?\nAnswer: 336*u + 3516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/9)\/(-5) + 32\/(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/4)*y)\/y**(1\/7))**(1\/28) assuming y is positive.\nAnswer: y**(31\/784)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggsygyyygykyggoyssy. What is prob of picking 1 k and 2 g?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-262)\/30*(3990\/18)\/(-19) - -3. Find a, given that 32\/9 + 320\/9*a + 18*a**4 + 80*a**3 + z*a**2 = 0.\nAnswer: -2, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5*y**2 + 7*y + 74. Let d(b) = -4*b**2 - 6*b - 74. Calculate -7*d(h) - 6*i(h).\nAnswer: -2*h**2 + 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 682 at least as big as 20467\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 5:49 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -4 (c) 47\/3 (d) -0.08 (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*z + 4*z. Let n(o) = -o**2 + 2*o - 3170. Let d be n(z). Round d to the nearest 100.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from doaddaadsddads. Give prob of picking 2 a.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/10? (a) 1\/4 (b) 0 (c) -4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - l - 74284 = -5*i, -3*i + 3*l = -44580. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3806 and 15642?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 501, -1137, -4923, -10863, -18963, -29229, -41667, -56283?\nAnswer: -73083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2\/7, 4, -0.5 in decreasing order.\nAnswer: 4, 2\/7, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 3:51 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v - 8. Let y be 3\/7 - 17\/7. Let c(f) = 16*f - 40. Let g(d) = y*c(d) + 11*w(d). Let o be g(13). Solve o*u - 5 = -5*k, -5*k - 1 = 4*u - 2*u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40300135 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13371, -27285, -41199, -55113, -69027?\n\"Answer: -13914*l + 543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3655 - 3651. Let x(u) = 14*u - 7. Let z(q) = -7*q + 3. Determine h*x(i) + 9*z(i).\nAnswer: -7*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001745904958 to seven dps.\nAnswer: 0.0000175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 2.06 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*d, 204*k = 201*k + 4*d - 7. Let j(r) = 43*r - 8. Let y(q) = -87*q + 16. Let h(l) = 5*j(l) + 2*y(l). Is 10 a factor of h(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.719 + 2.391. Let f = y - 0.11. Let d be (-5)\/4*((-80)\/(-75))\/(-8). Which is smaller: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.8952 grams in milligrams?\nAnswer: 69895.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 + 1 - 1)*(d + d**2 - d) + (-5*d - 2*d**2 + 5*d)*(-5*d**2 - 2*d**2 + 24*d**2 - 2*d**2 + d - d + (d - 3*d + d)*(1 + d - 1)).\nAnswer: -25*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2553303 + -22?\nAnswer: -2553325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**3 - 476976*m**2 - 18959319015*m - 37916730150 = 0. What is m?\nAnswer: -79495, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 30*q + 0*q**2 - 2 - 28*q + 3. Let r be -1*6 + (3 - -8 - -1). Calculate m(r).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-30)*j))**(-12)*(j*j*(j*j**(1\/59))\/j)\/j**31 assuming j is positive.\nAnswer: j**(-22950\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 992\/434 - (-80)\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5*a**3 + 4*a**2 + 4*a + 6. Let k(p) = -9*p**3 - 7*p**2 - 7*p - 13. What is 7*g(f) + 4*k(f)?\nAnswer: -f**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1000101101010000110 (base 2) to base 7\nAnswer: -2265555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 6*u - 4. Let d be a(-6). Let k be (-15)\/(-6)*(3 + -5). Put k, d, -3 in ascending order.\nAnswer: k, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 859164 is divided by 3839?\nAnswer: 3067","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*m**2 - 3*m**3 + 0*m + 477 - 24*m**2 + m.\nAnswer: -3*m**3 + m + 477","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -126, 9, 4, 54, -1, -5 in descending order.\nAnswer: 54, 9, 4, 3, -1, -5, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 15 = -2*c. Suppose 0 = -4*r + c*r - 35. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -117 + 74. Let i = 72 + f. Let m = -28.99975 + i. What is m rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*m + 72 = -28*m. Suppose 4*n - 15 = 5*h + 5*n, 0 = -4*h + 4*n - m. Put h, 1, 2, 3 in ascending order.\nAnswer: h, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6133.428 centimeters to kilometers.\nAnswer: 0.06133428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1330 - -697. Let l = a + 948. Is l a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39133 + 39133.3. Which is the biggest value? (a) 13\/77 (b) 2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.23 - 5.23. Let f = -31 - -27. What is the second biggest value in f, -1, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(180))**2 + 1 + sqrt(5) + (2*sqrt(5))**2 + sqrt(5) + (1*sqrt(160))\/(sqrt(1152) + (sqrt(1152) + -2*sqrt(1152) - sqrt(1152) - sqrt(1152))).\nAnswer: 23*sqrt(5)\/12 + 6501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 + 101 - 50 + 18*x.\nAnswer: 18*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {z: 5, j: 8, c: 4}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2260 and 1358260.\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = p + 15, 0 = -5*v + 4*p - 105 + 150 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 244*g - 238*g - 270. Suppose -3*p = -4*p + 50. Let w = p - 34. Calculate the remainder when g is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 648687 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -213 - -218. Suppose -51259 = -4*v + 2*m - 5*m, -5*m + 64070 = d*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214085113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j = -5*q + 15*j + 7, 3 = -2*q + 5*j. Let r be (-2)\/1 - -2 - -2. Which is smaller: r or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f - 2. Let h(v) = -v - 9. Let u be h(-6). Let r be b(u). Let z = -1 + 7. Solve -c - z = -r for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + s + s + 10 = 0, 4*s - 4 = 0. Let z(k) = k**2 - 1 - 4*k - 2*k - 1. Let m be z(c). Sort 5, m, -4 in decreasing order.\nAnswer: 5, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jxjx when four letters picked without replacement from {x: 4, j: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4*y + y - 33, 3*j + 37 = 5*y. What is the units digit of (-2)\/j - 33\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -243169 (base 11) to base 6.\nAnswer: -12125423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6335, -6422, -6509, -6596, -6683, -6770?\nAnswer: -6857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (2039 - 1) + 9\/(-27)*15 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 277 + -151. Suppose 0*x + 3*x = h. Calculate the greatest common divisor of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10087057 to the nearest 100000.\nAnswer: 10100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1061, -1062, -1063?\n\"Answer: -k - 1060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -c**3\/3 + 7*c**2 - 3*c. Let x be h(6). Suppose 3*r + 2*k = -x*r + 20, 0 = 2*r - k - 8. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -78\/2244935 and 92\/9904125?\nAnswer: 168370125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/4))**(-1)\/((((u*u**7\/u*u)\/u*u)\/u*u)\/(((u\/(u**1\/u))\/u)\/u)))\/((u\/(u**(2\/7)\/u*u))\/(u*u**(-4)\/u)*u**(2\/3)*u\/u**(-7)) assuming u is positive.\nAnswer: u**(-1859\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 277.6 + -278. What is the closest to 1 in u, -1\/25, -5\/3?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*z = 11, 2*a - 2*z - 13 = -3. Let h = 9 - a. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/50*(-20)\/(-3)*44*20\/(-320)?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2322\/156735)\/((-1)\/5).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0176669695 rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4643*k + 1267540. Calculate d(273).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 86, 118?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 340985 and 705.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11 + (-416)\/(-39))\/1)\/(-21).\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -247*i + 157. Let a(l) = 82*l - 53. Let c(j) = -11*a(j) - 4*y(j). Is c(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 8:04 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2876288.7098647 - 0.14.\nAnswer: 2876288.5698647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 + 13*z - 5. Let a be h(-7). Suppose i - 14800002 = 4*c, -a*i + 11100004 = -2*c - c. What is c rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 378 and 7236.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*h - 1989 + 306 = 0 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**17*d*d*(d\/(d**(-3\/5)\/d*d)*d)\/d)\/((d*d*d**(-6))\/d)**6 assuming d is positive.\nAnswer: d**(258\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10216 - 3755. List the prime factors of b.\nAnswer: 7, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125181 divided by -9?\nAnswer: -13909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 3*z - 13, 2*k = 5*k - 2*z - 11. Suppose -k*r = 61 + 184. Let o = r + 45. Is o a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6213636)\/19448)\/(-3*(-6)\/(-8))?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 36 = -2*t, -336 + 685 = -3*t - 2*o + 383 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n + 9. Let i be m(-10). Suppose 0 = -4*x - 0*x - 40. What are the prime factors of i\/((x\/(-12))\/(-5))?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.076 (b) 3 (c) -11 (d) -0.039127 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + 13. Let t = z - 4. Let o = t + -13. Solve 0 = o*k - 15, 3*k = -0*x - x + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a century in months?\nAnswer: 12720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 14, 9, 4?\n\"Answer: -5*j + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k + 6. Let t be u(-4). Let l = 26 + -261\/10. What is the nearest to 0 in l, -1, t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -20670854.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 849535217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44.5 - -43. Which is the closest to 1\/2? (a) -0.1 (b) -3 (c) -2\/7 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 7*q = -16. Let g = q + -1. Which is greater: g or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*3*-3*(1 + sqrt(684) + -1)*-1*2)**2.\nAnswer: 5540400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 336*40*14\/224 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1910 (base 10) to base 12.\nAnswer: -1132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 6 + 6 = 0. Suppose 7*y = n*y. Suppose -4*j - o + 53 = -0*o, y = j + 2*o - 22. Solve d - 5*d + j = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 3194686.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1311 - 1255 = -14*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/3)\/(2\/24*10). Factor 1\/2*t + 0 - 1\/4*t**p.\nAnswer: -t*(t - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g - 41. Let z be p(-11). Suppose -z*q = 178 - 985. Let o = -189 + q. What is the highest common factor of 48 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.94 + -7. Let v = 5252.5 - 5252. What is the nearest to -1 in f, v, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 + 4*m**3 - 4*m**3)*(-m**2 - m**2 + 3*m**2 + m**2 + 0*m**2 + m**2 + (-4 + 3 + 2)*(2*m**2 - 3*m**2 + 2*m**2) + 4*m**2 - m**2 - 13*m**2).\nAnswer: -6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 4*l + 5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 3*f - 3. Let o(m) = m + 3. Let s be o(-7). Is 15 a factor of q(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5*(-3)\/(-18))\/((-13)\/(-78)*2)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4444757711.\nAnswer: 31, 47, 769, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -64 - 0. Suppose 0*h = -2*t - 2*h + l, 5*t - 3*h = 40. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -2\/7, 6\/11, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + 1. Suppose r = 6*r - a. Solve -3*t - r = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*r**4 - 101921*r + 39390.\nAnswer: -8*r**3 - 101921","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {c: 9, s: 1, r: 1, o: 7}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 403, 777, 1 in ascending order.\nAnswer: -10, 1, 403, 777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-29)\/d**(2\/11))\/((d*d**(-14)*d*d*d)\/d*((d*d\/d**(-1\/16))\/d)\/d) assuming d is positive.\nAnswer: d**(-3211\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: a14ab (base 12) to base 11\nAnswer: 133693","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -61 + 61 + 2*v. Let f be x(0). Is 5 a factor of 35*(-4)\/(f + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*c = 3*o + 381, -7*c = 3*o - 1293. Suppose 5*x + 2*y = c, 4*x - 2*y = -y + 154. What is the highest common divisor of x and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -174 and -927253?\nAnswer: 161342022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -41877\/875 and -48 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 522448929 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -80 - -83. Suppose 3*m - z*y = -y + 40, 2*m - 24 = 2*y. Find h such that 14*h**5 + 7*h**3 - h**3 - 2*h**4 - 4*h + 2*h**2 - m*h**5 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 99*w**2 + 2*w**4 - 2*w - 99*w**2 - 3 to v*w**4 + c + j*w**2 + u*w + k*w**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * 37243.\nAnswer: 744860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from niyinttxitd. Give prob of picking 1 d, 2 t, and 1 y.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*m - 331 + 811 + 826 + 89 = 0 for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.42185874992355 - 0.5?\nAnswer: -0.92185874992355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q + 51*q**2 - 16*q**2 - 17*q**2 - 3*q - 1 - 17*q**2. Let j(d) = 5*d**3 - 2*d**2 - 3*d. What is j(s) + 2*y(s)?\nAnswer: 5*s**3 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35*27\/2835*9\/(-60)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 + 52690*l - 2*l**3 - 52325*l - 360*l**2.\nAnswer: -5*l*(l - 1)*(l + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 0*v**2 - 4*v + 4 - 4 - 6. Determine a(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/405 and 26\/405.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 151.212 - 151.211917383. Round g to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 634386377?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 13*y**2 + 2175*y - 28214. Determine t(13).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5*k**2 + 14*k - 5. Let w be m(-3). Let q = -2 - -3. Is w\/(3 - q)*628\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5230 + -4925.6. Round m to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -544*j**2 + 6. Let l(v) = 2174*v**2 - v - 27. Give -9*i(t) - 2*l(t).\nAnswer: 548*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1892 and 42011?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 388*l - 35. Let u = 306 - 294. Is h(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - f + 1. Let d(y) = 6*y**2 + 5*y + 1. Let r(x) = 7*x**2 + 5*x + 2. Let a(p) = 4*d(p) - 3*r(p). What is a(n) + 2*m(n)?\nAnswer: n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 9, -2, 7, 2 in decreasing order.\nAnswer: 9, 7, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 7*i + 3. Let b be a(-7). Suppose f = -3*c - 3, 3 - 18 = 5*c + 5*f. Suppose c*w = 7*w + 35. Put w, -1, b in ascending order.\nAnswer: w, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) 3\/2 (b) -4 (c) -12.001\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*m - 6 = 0. Let i be 1\/m - 12\/8. Suppose 3*f = -1 - 5. What is the second smallest value in -4, i, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(2\/4*-2). Suppose 78 = 5*p - 4*o, 4*o = -b*p + 2*p - 36. Is 14 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 980219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5039653623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-527*o**2 - 223676 + 223676)*(2*o + 4 - o - 3).\nAnswer: -527*o**3 - 527*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.37 + -0.03. Let x = -0.4 + 0. Let u = x - -0.3. Put p, u, -4 in descending order.\nAnswer: u, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -300?\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 120*j + 247*j - 1 - 129*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49)\/2*(-228)\/(-171)*(-60)\/56.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -16. Let m be 28\/6*(-33)\/(-11). Let i be (m\/8)\/(2\/8). Which is the biggest value? (a) -5 (b) i (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3366 by 17.\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i. Let w(b) = 4*b + 1. Let n(c) = -9*f(c) + 2*w(c). Give n(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/2796 and -5\/5318.\nAnswer: 7434564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-6)*138\/(-2). Let h = 34 - q. Let i(v) = -9*v**2 - 6*v - 5. Let c be i(h). Round c to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41670.\nAnswer: 2, 3, 5, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -0.183, 0.7, -1\/9, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.79 - -0.79. Let f = -163.1 - -146. Let t = 17 + f. Which is the third smallest value? (a) t (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -6 (b) -1 (c) -8602\/5 (d) -0.3 (e) -27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 7*r + 93 = -2*r, -5*w + 3*r = -279. Let f = w + -17. What is f rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 791 is divided by 81?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5\/24 + 59\/168. What is the second smallest value in 10, 0.1, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10348 is divided by 1720.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -5, -0.09, 0.07 in increasing order.\nAnswer: -5, -0.2, -0.09, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -44, 2 in increasing order.\nAnswer: -44, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4*b + 49. What is p(9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 12*a**2 + 2*a - 4. What is the remainder when 8*7 - (-2 - 0) is divided by m(12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6284.637cm?\nAnswer: 0.06284637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 7*m + 3. What is the units digit of c(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 4:42 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 + 0.1. Let u = -393.5 - -394. Let g = -0.203 + 0.003. Sort m, g, u in increasing order.\nAnswer: m, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4480\/768*(-40)\/784*(-4)\/5.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**4*s + 79634*i**3*s - i**2*s + 176*s + 1 wrt i.\nAnswer: 24*i*s + 477804*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 201011112200 (base 3) in base 15?\nAnswer: 76bc9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-1)*210\/(-20). Is 21 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48131\/10186 + 22\/463. Let q = -544 - -979\/2. Let m = -49 - q. What is the common denominator of w and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + u - 3 + 3)*(16399*u**3 - 32804*u**3 + 16409*u**3 - 309*u**2) in the form d*u**3 + q*u + c + h*u**2 + t*u**4 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 44*r - 8. Solve -2*h = -3*p + 6*p - r, 2*h - 4 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2 + 110*n - 585. Let x be g(6). Let i(m) be the third derivative of m**6\/120 - m**5\/15 + m**3\/2 - m**2. What is i(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340259.\nAnswer: 41, 43, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211112000212 (base 3) to base 6.\nAnswer: -13300035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + 3*n - 3*b + 2, -5*n - 3*b + 5 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11 - 10 - 4283*z + 4312*z wrt z?\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 + 51. Suppose x*b - 5*b + 105 = 0. Let v be (-2)\/6 + b\/9. Solve -2*f - 4 = w, v*f + 19 = -f + 5*w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1049, -123, 4, -5, 3 in decreasing order.\nAnswer: 1049, 4, 3, -5, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13)\/(-26)*((-32)\/(-8) + 127702) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (3*(sqrt(130) + sqrt(130)*-2 - sqrt(130)))\/sqrt(10))*1.\nAnswer: -6*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 17*u**2 - 43*u - 35. Let k be b(-14). Calculate the least common multiple of (k\/(-35))\/(8\/480) and 33.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3422*l + 3456*l + 204 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 33\/4, 0.025, -23?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 60443 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*s + 3*l + 33, -5*l - 60 = -3*s. Calculate the highest common factor of 435 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/(-12)*8\/(-2). Let r = 110 + -109.9. What is the third smallest value in -3, 0.04, m, r?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 2)*(-2 + 2 + 4)*(-5 + 2 + 1)*(3*j + 2*j - 7*j) in the form w + d*j and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -5*q**2 + q. Let p(k) = 11076*k - 11076*k + k**2. Give p(n(d)).\nAnswer: 25*d**4 - 10*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/207849 and -163\/142200.\nAnswer: 124709400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 2*r - 2*c, 4*r + 12 = 150199*c - 150203*c for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 8 + 7 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-14)*y)\/y)**(-38)*(y**10*y)**(-8\/3))**(-31) assuming y is positive.\nAnswer: y**(-46748\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.9 - 2.1. Let j = u + 3. Which is greater: 1\/4 or j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 6:23 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 91, 183, 275, 367, 459?\n\"Answer: 92*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*b - 9*b = 7*b + 182 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 146075691*w**6*x + w**5*x - 2655*w**2 - 1476*w*x - x wrt w?\nAnswer: 17529082920*w**3*x + 60*w**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q + 4*q**3 + 8*q**4 + 0*q + 0*q**4 - 6*q**4 to r*q**3 + w + d*q**2 + g*q**4 + c*q and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3651)\/6*1\/(-3). Let f = -202 + k. What is the third biggest value in 0.2, f, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3298 + 3298.02649. Round r to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 98\/3*s**3 + 1\/60*s**5 + 7\/6*s**4 + 6*s**2 + 0*s + 0. Factor x(g).\nAnswer: (g + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -3. Let o be ((-2)\/(-10))\/(9\/(-105)). Is o smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 341121 + 6?\nAnswer: 341130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11132050331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -4, -1, -2 in descending order.\nAnswer: 38, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -267*a + 33. Let o(x) = 87*x - 10. Let v(g) = -7*o(g) - 2*y(g). Let n(z) = 3*z. What is v(n(d))?\nAnswer: -225*d + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + s**2 - 3*s - 1. Let z be w(4). Let g = 96 + z. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 659 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9378.653cm?\nAnswer: 93786.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -0.4, 6.87, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 299*m**5 + 649*m**2.\nAnswer: 17940*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 25*j**3 + 3*j**2 - 2. Let d be y(1). What is the greatest common divisor of d and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46*l**5 - l**4 + 23*l**3 - 1526*l**2 + 307*l.\nAnswer: 2760*l**2 - 24*l + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7014689.\nAnswer: 11, 637699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.01966 times -280\nAnswer: -5.5048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2019 - -14.7981. What is the nearest to -2\/3 in l, -5, -6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -147, 8, -3\/4, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*u - 55*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -39 + 14, -3*c + 75 = -3*f. Suppose 0*z = -5*z - c. Is 339 - 1\/(z\/8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -878, -1023, -1282, -1655, -2142?\n\"Answer: -57*c**2 + 26*c - 847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 + 3*v**3 - 2*v**3)*(0*v + 0*v + 2*v) - 9471*v**4 - 9743*v**4 + 15231*v**4.\nAnswer: -3985*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -2*d**4 - d**3\/3 - d**2\/2 + d + 48. Give w(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -415 times -3?\nAnswer: 1245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*o = 37, -2*f = f - 5*o - 43. What is the highest common factor of f and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16969*c + 14135*c - 2032*c.\nAnswer: 29072*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 16) in base 6?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 - 52. Suppose 140 = -x*m + 740. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3*((sqrt(441)*2)\/sqrt(9) - -2*sqrt(147)\/sqrt(3)))\/(sqrt(28)\/sqrt(4)*5 - sqrt(252)*-3).\nAnswer: -12*sqrt(7)\/23 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -4*d - 0*d + 5*b, 4*d - b = 45. Let r(x) = 10*x - 23. Does 10 divide r(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 4502041?\nAnswer: -4502044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 126a - 4?\nAnswer: 1266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 293 and 294 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*p - 2*b + 9 = 146*p, -3*p - 4*b - 7 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 69862137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -7*o**5\/12 + 9*o**2 + 5. Let w(g) be the second derivative of k(g). Let d(s) = s**2. Calculate w(d(c)).\nAnswer: -35*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 2*l - l - 238, -l - 2*y + 246 = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14603*o - 658*o**2 + 1 + 14601*o - 29205*o to the form t*o + i*o**2 + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -183.125 and 0.01.\nAnswer: -1.83125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 18*v**2 - 20*v + 19. Let a be l(19). Suppose a = -5*g + 527 - 142. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 576 - 134 - 133 - 309 - 2*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 127, -3, 0, 1, -87 in descending order.\nAnswer: 127, 1, 0, -3, -4, -5, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 116 = 4*h. Let u = 31 - h. Solve -12 = u*s - 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10365519, -10365612, -10365719, -10365846, -10365999, -10366184?\n\"Answer: -r**3 - r**2 - 83*r - 10365434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1528, 6474, 14720, 26266, 41112, 59258, 80704?\n\"Answer: 1650*v**2 - 4*v - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 4:41 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k. Let y be g(-1). Which is the biggest value? (a) y (b) 0.4 (c) -0.2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4 = 7. Let y = 12 - 5. Solve y = 2*i - c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76408471421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a44a5 (base 13) in base 4?\nAnswer: -23002212310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 24, 95, 214, 381, 596, 859, 1170?\n\"Answer: 24*p**2 - p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1183 is divided by 53 + -7 - 8\/12*-12.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6558903.\nAnswer: 3, 13, 61, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 150242766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fuj when three letters picked without replacement from eeuujf?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 + 2*j + 2. Let g(r) = 560*r**2 + 26*r + 536. Let k(v) = -g(v) + 12*i(v). Differentiate k(l) with respect to l.\nAnswer: -1072*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-49*16\/(-56))\/(34*(-38)\/(-5168))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/5)\/(q**15*q))\/(q**18\/q**(-12)))**(-2\/23) assuming q is positive.\nAnswer: q**(462\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**3 - 4*m**2 + 3*m - 2. Let n = 0 - -2. What is the remainder when 14 is divided by o(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 7:55 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2783, 2987, 3191?\n\"Answer: 204*t + 2579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -35, -51?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6395.9 * -0.3\nAnswer: 1918.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -s**5\/30 + s**2. Let k = -6 + 6. Let b(z) = 0*z + z + 0 + k. Determine r(b(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1734 to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52\/3 - -14. Let c = 4 + t. Let f = -0.03 - 2.97. What is the smallest value in f, c, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g**4 + 86*g**3 + 1932*g**2 + 3528*g = 0. What is g?\nAnswer: -42, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1780 + -1779.9. Which is the third smallest value? (a) -4\/63 (b) -1\/5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (20\/(-3))\/(4 + 440\/(-108))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o**3 + 770*o**2 + 146673*o - 599076 = 0. What is o?\nAnswer: -387, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.3520128 millennia?\nAnswer: 352.0128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 1 (c) -3503\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from sbsssssssssbssbssbb.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7234192 to the nearest integer?\nAnswer: 2690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -225*b**4\/2 + 373*b**3\/6 - 45*b. What is the second derivative of f(m) wrt m?\nAnswer: -2700","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -48*q**2 - 3 - 35*q**2 - 22*q + 82*q**2. Let r = 7 - 24. What is the tens digit of g(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 4 + 6)*(27*b - 3*b + 0*b).\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1211 (base 4) to base 12.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/130 + (-1794)\/(-3042)\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n**2 - 4*n - 2. Let q = -7 + 11. Is 16 a factor of u(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 79*i**2 + 77*i - 69. Let d(y) = y**3 + 7*y**2 + 4*y - 3. Calculate the lowest common multiple of w(-78) and d(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10)\/80*-6)\/((-300)\/80))\/(5\/20)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 5159958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1 + -1 - (7 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 0.16, 3575 in increasing order.\nAnswer: -1\/3, 0.16, 3575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008098 to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*r - 1\/7*r**2 + 1\/7*r**3 + 1\/7.\nAnswer: (r - 1)**2*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - 1. Let k(q) = -q**3 - 27*q**2 + 4*q + 118. Calculate the remainder when 99 is divided by k(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 5 = -10*j - 63, 15*j - 536 + 522 = 16*j - 2*a for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-158)\/1027 - ((-9246)\/(-1755) - (-4)\/(-18))?\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1362954 to the power of 1\/2, to the nearest integer?\nAnswer: 1167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -13*d**2 - 11*d - 4. Let u(r) = -2*r**2 - r - 1 + 10*r**2 - 10*r**2. Let s(h) = 35*u(h) - 5*z(h). Let s(b) = 0. What is b?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 148 or 215?\nAnswer: 148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2752011935 to the nearest integer?\nAnswer: 52460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 2\/823?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 101100111000?\nAnswer: 101100110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**25\/c**(2\/19))**(-1\/11) assuming c is positive.\nAnswer: c**(-43\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(1 - (3 + 2))*-1. Suppose w = -8*b + 15*b - 8057. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*p + 373 - 373.\nAnswer: 91*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, y: 2, z: 1, s: 1, b: 2, d: 1}. Give prob of sequence sdgy.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*r - 3*r + 4*r)*(-3*r + 0*r + 5*r) - r**2 + r**2 + r**2 - 455*r + 7*r**2 + 455*r)*(2*r**2 - 1 + 0 + 0).\nAnswer: 12*r**4 - 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -15.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + -16051596?\nAnswer: -16051595.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5364, 21038, 47162, 83736, 130760, 188234?\n\"Answer: 5225*r**2 - r + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qcoooco. Give prob of sequence ooo.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 526 not equal to -301?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 4*w**2 + w + 4. Let z = 7 + -3. Suppose 2*q - 4*a + z = 0, q + 0*q = -5*a - 37. Let h be 14\/6 - 8\/q. Calculate m(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -19*a - 4. Let t(u) = 54*u + 11. Let c(f) = -11*s(f) - 4*t(f). Let k(j) = 5*j**2. Determine c(k(g)).\nAnswer: -35*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/7582158 and -87\/14321854.\nAnswer: 128896686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 737 divide 718275611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -86*w + 34*w + 24*w + 1 + 29*w. Determine j(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6077\/426 - -7\/71. Let s = -736271\/305 - -2414. Let k = 11593\/915 + s. Calculate the common denominator of r and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (516\/6321)\/((-2)\/(-833)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -3*q + 1823, -5*r - 180 - 441 = -q. What is the remainder when q is divided by 122?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9000190*d**2 - 19931811 wrt d?\nAnswer: -18000380*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 - -70) + -26 + 1 + -19.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -756*n*o + 1981418*n - 2723*o**2 + 2 wrt o?\nAnswer: -756*n - 5446*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -18*c**3 - 3*c**2 - 4*c - 12. What is the hundreds digit of z(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*j = -4. Suppose 2*z - j - 4 = 0. Let g be (-63)\/(-12) - 1\/z. Solve 0 = -3*m + g*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52775075 by 4525.\nAnswer: -11663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2 = -y, y = -3*j - j - 3. Let z be 4\/(-3)*3\/(-2). Let x be 6\/(-3) + z\/y. Solve v + 0 - 1 = x for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -184 - -184. Solve -t - 8 + 3 = s for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 (base 10) in base 4?\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 + (11\/4 - (-3)\/12) and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 24*z**3 + 13*z**2 + 9*z - 9. Is l(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(704) + (sqrt(704) + -1*sqrt(704)*4)**2) - (-4 + (-6*(sqrt(704) + 1 + sqrt(704)))**2).\nAnswer: -107744 - 1160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -422, -859, -1308, -1775, -2266, -2787, -3344?\nAnswer: -3943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 10*f + 15*f - 3*f)*(29 - 85 - 120).\nAnswer: -3872*f + 176","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10434263, 10434264, 10434265, 10434266, 10434267?\n\"Answer: k + 10434262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.43270188 to 1 decimal place.\nAnswer: 24.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463771504?\nAnswer: 2, 7, 4140817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 + 392 = -s. Round s to the nearest 10.\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - f = 8. Suppose -23 = f*k - 5*x, 4*k = 2*x - 0*x - 38. List the prime factors of 124\/3 - 8\/k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a century in decades?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*s**2)*(2*s + 2*s**2 - 2*s) + 3*s**4 + 2*s**4 - 4*s**4 - s**4 - 2*s**4 + s**4 + (2*s**3 + 4*s**3 - 4*s**3)*(3*s - 2*s + 0*s) + 8*s**4 + 7 - 7.\nAnswer: 15*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*s + (2 + 4 - 5)*(0*s - 3*s + 0*s) + 126*s + 163*s - 42*s.\nAnswer: 242*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 6*u**2 + 2*u - 6. Let v = 12 + -6. What are the prime factors of r(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000015717914 rounded to 6 dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in 8992, -1.8, -1\/4, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(3*u**2 + u**3 - 3*u**2) - 2*u**3 - 2*u**3 + 3*u**3 - 20 + u**3 - 256*u + 28*u**2 + 19 + 255*u.\nAnswer: 2*u**3 + 28*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 2. Let s be (u\/5)\/((-1)\/(-5)). Suppose -484 = -s*p - 2*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4967831 - 2919831. What is q rounded to the nearest one hundred thousand?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*g + 1555, 4*u + g - 1271 = -2*g. Suppose 0 = -25*y + 3436 + u. Is y a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -3*s + 15, -3*g - 4*s + 1 + 14 = 0. Suppose -5*p + g*l = 25, -3 = -5*p + l - 8. Solve -v - v + 6 = p for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, w: 10, q: 2, a: 1}. Give prob of sequence wqah.\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 26 = -3*d, -4*d - 8 = -4*n + 4. Let u(a) be the first derivative of -1\/3*a**3 - 4*a + 1 + d*a**2. Solve u(f) = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 3:55 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**4\/5 + 3762*i**3\/5 + 497742*i**2\/5 - 1006762*i\/5 + 101052 = 0 for i.\nAnswer: -126, 1, 2005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 364 + 246. Let h = d - -180. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-204))\/(((-6)\/(-1))\/(-108))?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2281?\nAnswer: 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*t + 9*t - 5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (-62 + 9 - -112)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 634391520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -77478 less than -115670?\nAnswer: -38192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a = -8*a - 203060. Is a\/(-22) + (-12)\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27177*c**3*j*u**2 - 2*c**3*u**2 + 6*c**3 + 25*c**2 + 9*c*j + 2657*c*u**2 wrt c?\nAnswer: -163062*j*u**2 - 12*u**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbcc when four letters picked without replacement from cccbbc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.24424956 rounded to the nearest integer?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 + r**2 - 5*r**2)*(2*r - 1 + 1)*(-r - 63*r - 17*r).\nAnswer: 324*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**2\/2 + 3*m\/2 + 35 = 0 for m.\nAnswer: -7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 24*r**2 + 63*r + 2. Let v be t(-21). What is the third derivative of -p + 291*p**3 + 2*p**v - 4*p + 0*p**2 - p**2 - 110*p**3 wrt p?\nAnswer: 1086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -778030 to the nearest one thousand.\nAnswer: -778000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p**3 + p + 4. Let b(g) = -21*g**3 - 6*g - 21. Give 2*b(q) + 11*n(q).\nAnswer: 2*q**3 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4941977 to the power of 1\/2, to the nearest integer?\nAnswer: 2223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -30, -34, -38?\n\"Answer: -4*b - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -6. What is the nearest to 0.1 in -0.06, -4, t?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16 and -12.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyppppppwppppypyyyy. What is prob of picking 2 y?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from zzdaavaadzaazadzaa.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4\/7 (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 - 0.8. Let r(p) = -19*p + 6 + 16*p + 0*p**2 - p**3 - 6*p**2. Let m be r(-5). What is the nearest to 2\/7 in m, -1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 56*c**2 + 95*c - 485. What is the units digit of g(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/7 = -92.39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 6*v + 35. Let u be o(-5). Solve -u*i + 2 = 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -16 - (20 + (41 - 3 - (56 - 33)))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.07 + -0.07. Let l = -1 + a. Let x be 98\/(-12) - (-395)\/(-474). What is the closest to 0.1 in -3, l, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 761558.3ug?\nAnswer: 0.0000007615583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1356518791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 51378 (base 9) to base 14\nAnswer: c49a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57288949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92 and 388541438.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 + 1)*((-2*s**2 + 0*s**2 - s**2)*(2*s - 5*s + 2*s) - 4*s + 4*s + s**3)*(-8*s + 9*s - 16*s) to x*s**3 + i*s**4 + j*s**2 + q*s + u and give i.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 + m**2 - 2*m**2 - 2 - 887*m + 887*m.\nAnswer: m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 + 151. Does 24 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 37*z**2 - 168*z + 264. Let y be h(32). Suppose 0 = 3*j + 2*i - 1 - 1, 0 = -4*j - 4*i. Solve 0*a + j*a + y = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-42)\/(-56) + 1658\/8. Let m = -194 + i. Calculate the remainder when 52 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a minute in milliseconds?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hik when three letters picked without replacement from hkkiikhhkhhhkh.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 420 - -3?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 207537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 140 = 2*j + j, -5*t - 10 = 0. Let q be ((-5)\/10)\/((-1)\/j). Solve 2*b + 4 = -4*o + 6*b, -4*b = 5*o + q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5*o. Let m(g) be the first derivative of 11*g**6\/60 + 88*g**3\/3 - 82. Let u(h) be the third derivative of m(h). Calculate j(u(v)).\nAnswer: -330*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - 3*sqrt(300))\/sqrt(4) + (0 + (2 + sqrt(432) - sqrt(432)) - sqrt(432)))**2.\nAnswer: -88*sqrt(3) + 1456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 779759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1292 divided by 59?\nAnswer: 1292\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 + 28. Let a be 34\/(-8) + 2\/8. Sort a, l, 1 in ascending order.\nAnswer: l, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -8*l**2. Suppose -3*j - 6 = -3*t, -4*t - j - 2*j + 15 = 0. Let r be (-2)\/(-6)*t - -1. Let g(o) = r*o - o + 0*o. What is g(s(u))?\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2301163.6 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57838 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 26. Suppose 2*v - i + 24 = 0. Which is the third smallest value? (a) v (b) -0.02 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + l - 5*l)*(-7 - 4 + 4*l - 6*l).\nAnswer: 6*l**2 + 33*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -26*f**3 + f. Let d be t(1). Let z be (-2510)\/d - 2\/5. Suppose -i = 4*i - z. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 12125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4864079299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 9 + 35*v**3 - 37*v**3.\nAnswer: -2*v**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 12:11 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, o: 6}. What is prob of sequence oojo?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-128167859)\/(-20) + 1\/(-2). Let y = 6404394 - j. Let g = 3995 + y. Find the common denominator of 13\/10 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24.15 + 28.15. Which is the third biggest value? (a) 1297 (b) y (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7902, -7896, -7890, -7884, -7878?\n\"Answer: 6*z - 7908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63\/20 - -16\/5. Do -1 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 364.7 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 382454 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1488, -2896, -4290, -5664, -7012, -8328, -9606?\n\"Answer: h**3 + h**2 - 1418*h - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2854072 and 141437?\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 256078206 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4884, 5140, 5522, 6030, 6664, 7424?\n\"Answer: 63*v**2 + 67*v + 4754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**3 - 61557*g**2 - 264394.\nAnswer: 6*g**2 - 123114*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 0)*5\/10. Suppose 4*t - 3*t = u. Suppose t = 5*b + 159 - 734. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - ((-104)\/(-20) - 3))\/((-1407)\/3015).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m + 24. Give k(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 9 (b) -1\/5 (c) -1\/3 (d) 3.9 (e) 8\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = j - 223. Suppose 4*f = 8, -8*l + 3*l + f = -j. Calculate the highest common factor of 5 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 399636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 56*g. Let r(w) = 3*w**2. What is r(d(a))?\nAnswer: 3*a**4 - 336*a**3 + 9408*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 11 = v + 5*g, -4*v + 5*g + 3 = 0. Calculate the smallest common multiple of 9 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1238673.\nAnswer: 3, 412891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-1\/2)\/l*l)\/l**(1\/5))\/(l*l*l\/(l\/(l*l*l\/l**(-4)*l))*l)**(-23\/2))**(-40) assuming l is positive.\nAnswer: l**(-5032)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cjy when three letters picked without replacement from ttyjjscsscsjtyyssjs?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -34*s**2 + s. Let x(h) = -701*h - 21 + 705*h + 21. Determine j(x(o)).\nAnswer: -544*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5 = 5*u, 4*y + 4*u = 10 - 14. Suppose 4*j + 5*f - 57 = y, f - 13 = -7*j + 6*j. What is the lowest common multiple of j and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 15) to base 12\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 5*h - 6)*(4 - 2 - 1)*(2420 - 2420 - 810*h) to u + m*h + a*h**2 and give a.\nAnswer: 4050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1624\/(-672) - (-20)\/(-16)?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 - -105. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*v, -12 = -3*v + 2*v + 2*t. Suppose -2*s = v*z - 140, -6 + 0 = 3*s. Let c = -22 + z. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -15. Suppose -f + 0 + a = 0. Let k(z) = z**3 - 5*z**2 + 3. Let w be k(5). Solve n - w = 4*x, f*x + 12 = 4*x + 4*n for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1974 + 1972. Let p be 4\/3*(-1)\/(-6). What is the biggest value in 4, p, i, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 10 = i. Suppose 3*n - 5*p - 381 = -p, 5*n - 635 = -i*p. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k - 12*k - 7*k in the form q*k + w and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16630 = -18*q + 1802. Calculate the greatest common divisor of q and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1745405895?\nAnswer: 3, 5, 17, 157, 43597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63194 + -189584\/3. Let o = -0.06 - -0.46. Which is the nearest to r? (a) -18\/7 (b) 1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a hour in seconds?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -536*z + 319. What are the prime factors of i(-7)?\nAnswer: 3, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 205 - 1031\/5. Let k be 20\/(-119) - (-6)\/21. What is the closest to 2 in k, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.076 + 0.024. Let g = 1.1 - c. Put 4, g, -1 in descending order.\nAnswer: 4, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 5*u - 5*u + (-1 + 0 + 0)*(-1 + 1 - u) + 4*u - 15 + 3 - 2*u)*(-241*u**2 + 106*u**2 + 116*u**2).\nAnswer: -76*u**3 + 228*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -8*t + 3. Let m(v) = -95*v + 35. Let x(f) = -3*m(f) + 35*o(f). Let c(j) = 2*j + 2*j - 6*j + 0*j. What is x(c(y))?\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 9*m**2 - 5*m + 2. Let x(z) = z**3 - 6*z**2 - 7*z + 4. Let q be x(7). What are the prime factors of f(q)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 523836.\nAnswer: 2, 3, 14551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -156237029, -156237030, -156237031, -156237032, -156237033?\nAnswer: -156237034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -19*m + 197. Determine x(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -508*j + 512*j + x + 7 = 0, x = 5*j + 11 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3197 rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 191607867222*q + 191607867225*q + 0.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -23940 > -23954?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450254787 is divided by 2969.\nAnswer: 2968","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.53371*-3.\nAnswer: -28.60113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 4. Let g be -3 + (0 - (-6 - h)). Suppose 2*c + 3*c - 2*z - 27 = 0, 2*c + 5*z - 5 = g. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-9 + 7 - -6) + 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j + 171 + 266 = -11*j for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 13. Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2603, -10378, -23331, -41462, -64771, -93258, -126923?\n\"Answer: -2589*b**2 - 8*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 95679 or 95586?\nAnswer: 95679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1142 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32.5 + 32. What is the closest to -1\/2 in 0.2, g, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*59 - 0\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dfqd when four letters picked without replacement from dfqduytdyfdf?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -142 - 88.42\nAnswer: -230.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 12*b. Let v(q) = 40*q. Give m(v(y)).\nAnswer: 480*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -593, -1190, -1789, -2390, -2993?\nAnswer: -3598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3474 and 8938782.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 48 = 4*o, y - 3*o = 5*y - 218. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-27)\/6)\/(2\/(-28)*1). Let m = 75 - i. What is the least common multiple of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1412071919 to the power of 1\/3, to the nearest integer?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 324*r + 465. Is w(22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/22 - (8\/(-2) - -8) and -83\/66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 17*m**2 - 15*m + 1. Let g be c(16). Sort 2, g, -2 in descending order.\nAnswer: g, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-9))\/((-8)\/(-3)). Let x be 6\/30 - 40\/(-200). What is the closest to g in x, 5, 6\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 347 - 810 = -4*l + 5*f, -3*l = 5*f - 286. Solve 100*u - l*u = 35 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/7)\/(1\/3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1422 in 1\/10, -0.1, -3, -2, 1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5553622 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -54. Let u = -1477 - -1491. What is the highest common factor of m and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7357746 and 198?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -15*m**3 - 4*m**2 - 4. Let k(u) = 90*u**3 + 25*u**2 + 25. Give -4*k(s) - 25*q(s).\nAnswer: 15*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -332 - -354. Suppose 2*i - 22 = i. What is the greatest common divisor of q and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 3\/17 (c) -5.5 (d) 5 (e) -663\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 0)*-1*15. Let c = w + 10. Let v(t) = -t + 1. What is the units digit of v(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 n, and 1 v when three letters picked without replacement from nsfvv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -210, -317, -422, -525, -626, -725?\nAnswer: -822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9113 + 9024. Put d, 0, -15 in descending order.\nAnswer: 0, -15, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-three quarters of a century?\nAnswer: 1075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 111525 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: Convert -320244 (base 6) to base 4.\nAnswer: -12112210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(-275)*-10*(-30)\/4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/21)\/f*f*f**(-31) assuming f is positive.\nAnswer: f**(-652\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3275 + 11?\nAnswer: 3306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvivd. What is prob of picking 2 v and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 7:36 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 1212\nAnswer: -4848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -20*k. List the prime factors of f(-14).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*d, -w - 3*d + 12 = -3. Is (-16080)\/(-14) - (-9)\/w - -2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x + 12*x + 98 - 307 + 101 + 108 - 7*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o - 5 + 1 = -4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**5\/180 + 5*i**4\/2 - 450*i**3 - 259*i**2. Factor t(m).\nAnswer: -(m - 90)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tetttteeee. Give prob of picking 1 e and 1 t.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 6*b**2 + 4*b - 1. Let j = -31 - -49. Let y = 23 - j. Determine k(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 71*n**2. Let t(j) be the first derivative of -9*j**2 - 2237. What is t(p(b))?\nAnswer: -1278*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107, -89, -69, -47?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -27131, 6 in increasing order.\nAnswer: -27131, 6, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2\/19 + 9442646*q\/19 + 188853720\/19 = 0. Calculate q.\nAnswer: -20, 4721343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13303042 (base 5) in base 2?\nAnswer: 100000111001110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 737805 is divided by 33535?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w + 1 - 1)*(2 + 4 - 5)*(5*w**3 - 2*w**3 - 5*w**3 + (12*w**2 - 20 + 20)*(3*w - 5*w + 3*w)) to the form p*w + l + g*w**4 + j*w**2 + d*w**3 and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**2 - 16*w + 26. What is the hundreds digit of p(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 3*v - 8, 4*v - 1 = -17. Solve 5 = -o*b + b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1286*b**3*n - 55*n - 11 wrt b?\nAnswer: -3858*b**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 11:23 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m*x**4 - 100*m*x**3 + m*x**2 - 2836*m*x + 3*x**4 + 14*x**3 + 2*x**2 wrt x?\nAnswer: 48*m*x - 600*m + 72*x + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2181 a factor of 944569290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25*f**4 - f + 109?\nAnswer: -100*f**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 166.3924868 less than 0.4?\nAnswer: -165.9924868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - 2. Let s = y + 22. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5031?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8363 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/4)\/(-1 - (-2)\/6 - 6545\/(-7140)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 4\/4 + 3)\/(10\/(-70))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**2 - 379*q - 6154 = 0.\nAnswer: -362, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 1107 + 6214 = -4*v, v = 2*d - 1330. Calculate the highest common divisor of d and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 35*y**2 - 75*y + 50. Let w be z(37). Let g(o) = -o**3 + 11*o**2 + 31*o + 10. Let a be g(w). Are a and 75 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5 - -857455761.\nAnswer: 857455762.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 54550836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 1010011011111?\nAnswer: 1010011011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*r + 45 = 0, i + 3*r = -i - 9. Let d = 8 + i. Is d < -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - s + 36. Let i be v(-15). Let t be i\/(-15)*(-3)\/(9\/(-15)). Suppose 0 = -3*p + t + 200. What are the prime factors of p?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 635296.8 litres?\nAnswer: 635296800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.174 and -4535?\nAnswer: 4535.174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4977317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20751268639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((((2*sqrt(117) - sqrt(117)) + sqrt(117))*1 - sqrt(117))\/(-1*(sqrt(9) + sqrt(144))) - (-1*sqrt(130)*-6 - sqrt(130))\/(-1*sqrt(10)*-3 + sqrt(10))).\nAnswer: -29*sqrt(13)\/20 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from zzwzzzwzzzzwzw.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -22, 9, -3, 17 in descending order.\nAnswer: 17, 9, 5, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - ((26600\/(-330))\/20 - -22)?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 9*p + 20. Let o be q(-3). Find the third derivative of -8*r**o - 6*r**2 + 13*r**2 + 4 + 22*r**4 - 5*r**2 wrt r.\nAnswer: 528*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -576 - -564. Let f(p) = p + 16. Determine f(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -761398 divided by -11\nAnswer: 69218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 652 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 331214\/179 or 1850?\nAnswer: 1850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/637806 and -97\/735930.\nAnswer: 9567090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 215544823373760 and 5.\nAnswer: 215544823373765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -7\/42586?\nAnswer: -7\/42586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12476 + -199553\/16. Let y = -471778198 + 19781659958931\/41930. Let l = y + 1\/2995. What is the common denominator of x and l?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 k when two letters picked without replacement from {a: 1, b: 1, k: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*d**2 + 45*d**2 - 1 - 75*d**2 + 5364*d - 5364*d.\nAnswer: 66*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4a - -88ac?\nAnswer: 8862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 - 18*a**3 - 44*a**2 + 1120444*a - 1120445*a.\nAnswer: -20*a**3 - 44*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h - 6*h = -15, 4*s - 2*h = 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -19, 6\/11, 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1300.89 + 1301. What is the closest to -0.05 in -0.1, -2\/5, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 164 (b) 5 (c) 24 (d) 4 (e) -4 (f) -238\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -10. Let u(a) = -a**2 - 12*a + 4. Let v(w) = -w**2 - 11*w + 3. Let h(z) = 4*u(z) - 5*v(z). Give h(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-427 + 405*s - 203*s - 204*s)*(-5 + 3 + 1).\nAnswer: 2*s + 427","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -315350 (base 7) to base 14\nAnswer: -15d27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7174\/75 + -593\/25. Let v = 181\/3 - k. Let l = 396\/35 + v. What is the common denominator of l and -61\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-3 + -1*sqrt(1216) + sqrt(1216) - (sqrt(1216)*2 + sqrt(1216) + -2))*-3*2)**2.\nAnswer: 10368*sqrt(19) + 2364120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-1\/6)*c*c)\/(c*c\/(c**0\/c)))**(-9\/2))**(-3\/10) assuming c is positive.\nAnswer: c**(9\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-49\nAnswer: -24.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 + 43. Let o(s) = 7*s + 1. Let v be o(-2). Let f = 0 - v. Calculate the highest common factor of f and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110 by -55.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from emeem. What is prob of picking 1 e and 2 m?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 10, -12 in descending order.\nAnswer: 10, 5, 3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 + 8*s + 3. Calculate the remainder when 36 is divided by h(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 10 (c) 5\/2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 53*z**2 - z + 2. Let r be i(1). Let k be 1\/3 + 684\/r. Find the first derivative of -2*p + 3*p + k - 5*p - 7*p wrt p.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172645 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: Does 8 divide 203744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 40\/(-25) + 1. Factor 2\/5*q + 0 - j*q**2.\nAnswer: -2*q*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 84 = -0*g. Suppose g*h - 792 = -0*h. Is 65 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + (-9660)\/(-8))*2 + -5. Suppose -7*b = -u + 236. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51119269289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 112 = 13*x. Calculate the greatest common divisor of x and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -17*f**2 - 2*f - 2. Let i(a) = 34*a**2 + 5*a + 5. Let p(s) = -4*i(s) - 10*w(s). Let z(h) = 3*h**2. Give z(p(k)).\nAnswer: 3468*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 31\/(217\/7)*((-32)\/158)\/8\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -126*u + 34. Let a(m) = 126*m - 38. Calculate -9*a(j) - 10*w(j).\nAnswer: 126*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 1753?\nAnswer: 1753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 divided by -9.\nAnswer: 58\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95, 380, 861, 1538, 2411, 3480?\nAnswer: 4745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -191.8 to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(72) + (-4 + sqrt(72) + 0 - sqrt(72)))**2 + -4 + (sqrt(72)*1)**2 + 4 + -2) + 4.\nAnswer: -470 + 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.75 - -3.87. Let k = i - 0.12. Let u = k - 4. Which is the closest to -2? (a) 0.2 (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2084, -4166, -6242, -8312?\n\"Answer: 3*u**2 - 2091*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 269961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (1407\/(-67) - -12)\/((-27)\/111)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 134.\nAnswer: 53.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 689508.4 kilograms?\nAnswer: 689508400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**2 - 386 + 386.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1273.\nAnswer: 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*d - d. Let z be 7\/d + 1\/4. Find the second derivative of 1 + 6*i**2 - 2*i - 4*i**z - 1 wrt i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 16, -20, -76, -152, -248, -364?\nAnswer: -500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -11011001101011?\nAnswer: 11011001101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r - 7. Let q be y(-13). Let d = -55 + 35. Let k = q + d. Does 20 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1\/105, -11\/2 in ascending order.\nAnswer: -11\/2, -0.2, -1\/105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 + -48. Let y(c) = 22790*c + 100 - 14 - 26. Let d be y(x). Round d to the nearest 10000.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6951 = -7*j + 7007. Calculate the greatest common factor of 616 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-22)\/(-6) + 4\/(-6). Let n = -5.6 - -5.6. Let a be 5*2*(-2)\/4. What is the nearest to n in -0.3, i, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 a factor of 89463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 - 6*b**3 + 7*b**3 - 7398*b + 10*b**2 - 11689*b.\nAnswer: b**3 + 8*b**2 - 19087*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 79*s**2 - 2*s - 7. Let q be w(-2). Suppose -20*z + 7 = -q. Calculate the greatest common divisor of 48 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 + 260*i - 3380.\nAnswer: -5*(i - 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 137a5 - -14?\nAnswer: 13809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1765495 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/16)\/(-20*(-7)\/1120)*-17.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (768\/28 + 27\/378)*(-6)\/5\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 5) in base 7?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-11)\/(-385))\/(3\/5)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (6 - (6 + 4)) + -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234888?\nAnswer: 2, 3, 9787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (15 + -13)\/(8\/6*-1). What is the nearest to 1 in 7, 2\/5, c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, f: 14, t: 1, c: 2, m: 1}. Give prob of picking 1 c, 1 g, and 2 f.\nAnswer: 91\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1001 (base 2) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1508 and 232.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 525\/130) + (-96048)\/12064\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 1, 2, -1301, 4, 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1.7 * -78\nAnswer: 132.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 52 = b, 0 = 5*b - 383029*f + 383027*f + 26 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - 1*-1 - -119. Suppose 8280*h - 8277*h + 3*t - 108 = 0, 2*h = 4*t + 96. What is the greatest common factor of h and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-2) + 76 + -2. Suppose 5*z + 0*y = -2*y + 73, 5*z - o = 2*y. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d**3 + 27*d**2 - 36*d + 1. Calculate q(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + -1)**2 - (sqrt(5) - sqrt(30)\/(-1*sqrt(6)))**2) + ((sqrt(720) + (-2*sqrt(720) - sqrt(720)))*-6)**2 + 0.\nAnswer: -8*sqrt(5) + 103741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2320000 to the nearest one hundred thousand.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 23, -0.5, -265, 0.5, -4, 2?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/585 and (300\/216 - 3\/2)\/((-2)\/(-116))?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272493922 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/9 - 2) + 28\/60.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105\/((16\/40)\/((14 - (-1180)\/(-50)) + 10))?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**6 + 623*i**4 - 299*i**2 + 4*i?\nAnswer: 240*i**3 + 14952*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 + -25. Let g(h) = 7*h**2 + 12*h - 17. Let w(x) = -29*x**2 - 49*x + 69. Let u(l) = m*g(l) + 2*w(l). Determine d, given that u(d) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 + 45. Solve -x - n - 2 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 5)*(x**2 - x + x) + 0*x**2 - 3*x**2 + 4*x**2 + 2*x + (-2*x + x - x)*(2*x + x + 3*x).\nAnswer: -9*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -78271638 divided by -277559?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 74.2 - 74. Sort h, 2, -1\/11 in decreasing order.\nAnswer: 2, h, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 8:10 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 14*l + 96 = 0. What is the remainder when 37 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 6*g. Let s(v) = -133*v**2. Calculate p(s(l)).\nAnswer: -798*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 102 - 95. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 12 + 38 = 3*s, -2*s + 14 = 2*w for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -334310, -668616, -1002922?\nAnswer: -1337228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6))\/(5\/15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 3*c**2 - 32*c + 27. Determine m(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 244 (base 6) to base 4\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/51 and 1\/18.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2470*t**2 - 8300*t + 16613*t - 8313*t + 2.\nAnswer: 2470*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 5*v + 30, -5*v + 45 = -2*z - 2*z. Let k = -8 - z. Solve -5*w + 2 = k for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -3\/11, -5, -6\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.79079 and 58.\nAnswer: 57.20921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42599.\nAnswer: 41, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -3*w + 2038 + 11764, -8*g + 27594 = w. What are the prime factors of g?\nAnswer: 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*p**3 + 5316296 - 10632599 + 5316303.\nAnswer: -18*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 1. Let k = -51 - -55. Let u(w) = -w**3 + 3*w - 3. Calculate k*u(f) + 12*d(f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -462*o + 461*o - u + 8 = 0, -o = -u. Solve 2*y = 11*v - 9*v + 4, -o*v + 3*y = 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 674.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -436.\nAnswer: 4\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cicbyccycbyb. What is prob of picking 1 c and 1 b?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -2\/1399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 2*o**2 + o + 177. What is the tens digit of m(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-30)\/275)\/((-4)\/125) and -37\/26.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 3*x**4\/2 + 7*x**2\/2 - 8. What is the second derivative of g(i) wrt i?\nAnswer: 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -s - 4*z - 20, -z - 4 = 0. Let n(b) = 2*b**3 + b**2 + 2*b + 1. What is n(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 356 - 336. Suppose -11*u = -6*u - k. Solve 2*x + 6 = -2*c, -1 = -x - 2*c - u for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 310689.1 to the nearest one thousand.\nAnswer: 311000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4645 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2, -91, -344, -0.1, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/((l\/(l*l\/(l\/(l*l**(5\/7)*l)*l))*l)\/l)*(l\/(l\/(((l\/(l**(-2\/7)\/l))\/l)\/l)))\/l assuming l is positive.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, c: 4, l: 3, b: 6}. What is prob of picking 2 b?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1169*f + 2200 + 4490 + 7904 - 566 = 0 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2850835243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1580)\/(-15))\/(8\/(-12)). Let q = 239 + o. Calculate the greatest common divisor of q and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6*o**2 + o**2 - o**2 + 8 - 1. Let n = 3 + 2. Let q(k) = -4*k**2 - 5. Let c be 21\/(-6)*-1*2. Calculate c*q(l) + n*g(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 2188386?\nAnswer: -1094193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1525\/3843*84\/45 - (-4)\/(-6)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i + 7*i + 3*i + 5966*i**3.\nAnswer: 5966*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 10*y - 18. Let q be x(7). Let m(p) = 7*p - 4. Let r be m(2). Sort 2, q, r in decreasing order.\nAnswer: r, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 0, 5, 12?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + 0. Let z = i + -7. Suppose -2*l - 5 = -o + 9, -o - l - z = 0. Solve 0 = -o*u + u + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4129357355 to the nearest integer?\nAnswer: 1604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9716448 and 803616?\nAnswer: 106880928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1350679373 to the power of 1\/2, to the nearest integer?\nAnswer: 36752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2896 divided by -12.\nAnswer: -724\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - a**2 - 2*a - 3. Let k be v(-2). Suppose -k*w + 0*w = -35. Let h be w\/1 - (-1 - -3). Solve 0 = d - h - 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k**5*k*k*k)*k)\/(k**3\/k))**(-18\/13) assuming k is positive.\nAnswer: k**(126\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/5 of a microgram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-14)\/14 - 15) + 1752 and 3?\nAnswer: 5208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 89 times 56.98\nAnswer: 5071.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ih when two letters picked without replacement from {h: 18, i: 1}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -7325*c - 3. Let k be t(-1). Suppose 8*z + k = -6*z. Let u = z - -830. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 80 - 112. Is -32 equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50656 less than 5.1?\nAnswer: -50650.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.152 and -0.18?\nAnswer: -1.10736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l + 87*l = 48790. Is 698 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 143 - 140. Suppose 0 = -4*z - c + 15. Solve s - 22 = -3*l - 4, -z*s = -4*l + 11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 18*t**2 - 6*t + 7. What is the units digit of y(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 6*n**2 + 7*n - 6. Let t(x) = x**3 + 7*x**2 + 9*x - 7. Let l = -298 - -301. Let m(f) = l*t(f) - 4*o(f). What is m(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.19956 to 3 dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 145*p**2 + 195*p + 385. Let u(z) = 173*z**2 + 194*z + 386. Let n(d) = 6*j(d) - 5*u(d). Let n(i) = 0. Calculate i.\nAnswer: -38, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*b - 15 = 0, 16 = 5*c + 3*b + 7. Solve c = i + 5*r - 26, -4*i - 4*r - r + 29 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, m: 1, s: 2, t: 2, w: 1, a: 3}. Give prob of sequence att.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*a - 2*a. Suppose d = -a*d. Suppose 0 = -4*x + 5*r - 2, 0*r + 4 = -3*x + 5*r. Sort d, x, -3 in descending order.\nAnswer: x, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - 20. Let b be (-64)\/p + 2\/6. Solve 12 = -b*u + a, -2*a - 4 = u + a for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/4 in 5, -90, 1\/4, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -5. Which is the nearest to 1\/2? (a) k (b) 1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -2, 1\/2, 0.6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + j**2. Let v be d(1). Let s be 3*(4 + (-23)\/(-3)). Suppose 0 = -40*g + s*g + 115. Solve -2*f - 3*f = -3*q - 19, v = -5*f + q + g for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + c = 225. Suppose u - 3 = c. Calculate the greatest common factor of 32 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -0.3 (c) 8 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 7*x**2 - 2*x + 5. Let n = 0 - -5. Let w = -4 - -6. Suppose 0 = -2*g - w*g - 64. Let d(v) = 22*v**2 - 6*v + 16. Give g*j(l) + n*d(l).\nAnswer: -2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 11. Suppose 3 = x, 2*s - x + 13 = q*s. Let p(w) = -w**3 + 4*w**2 + 7*w + 1. Calculate the smallest common multiple of p(s) and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iz when two letters picked without replacement from izccicizciicipzic.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.1, 0, 71 in increasing order.\nAnswer: -2, -0.1, 0, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 5201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + -24. Suppose 10 = 2*o, u - 4*u + 5*o - 10 = x. Suppose 0*a + 245 = u*a. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**4 - 612*l**3 + 17646*l**2 - 112280*l - 130536 = 0?\nAnswer: -333, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or 2\/29?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17216 and 807?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -428\/5 - -86. Let k be (42\/(-1785))\/(10\/(-170)). Let 2\/5*y**2 - 2\/5 + k*y**3 - w*y = 0. Calculate y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v - 344 + 344)*(-3 + 5 + v**2 - 1).\nAnswer: -4*v**3 - 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 3*g = 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1489114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 6*w. Let s be f(4). Suppose 9*z - 4 = s*z. What is the first derivative of -18*p**4 + 0 + 23*p**4 + 29*p**z - 2 wrt p?\nAnswer: 136*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 23*t + 24. Let u be s(-22). Solve 3*j + y - 4 = -u, 4*y = 3*j + 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3241.\nAnswer: 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70161 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000744804287 to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -7. Suppose -3*y + l + o = 0, -2*l - 9 = -3. Solve -2 = 3*m + y for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 18.7. Let s = 274\/3 + -92. What is the closest to 1\/2 in w, 2\/11, s?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33248751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001588823234 rounded to 6 dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4\/5 + 22665*p**3 + 285427890*p**2 + 1198796760300*p + 5986850937000.\nAnswer: 3*(p + 5)*(p + 12590)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -655417, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*z = 0. Let l be (-2)\/(-2)*(805\/(-203) - -4). Do l and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*z**5 + 4*z**4 + 2*z - 128 wrt z.\nAnswer: 380*z**3 + 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 457 - 2276\/5. Let h(k) = -k**2 - 8*k - 9. Let b be h(-6). Is b smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 430.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1153*c - 688*c - 457*c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -2. Let t be k\/6 + 14\/6. Find the third derivative of -3*v**2 - 2*v**t - v**3 + 6*v**2 wrt v.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 876 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2065265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 2*g + 26, 5*m - 2*g - 45 = 13. Suppose -7*r + 11*r = m. Suppose 2*n = -r*n + 160. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -8 + 11 - (7 + -23).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 + 149*w - 7737. Calculate j(43).\nAnswer: 2368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/7 (b) -8.6283 (c) -1\/4 (d) 1\/8 (e) 0.2 (f) 2\/9 (g) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*p + 3*i - 0, -2*p + 2 = i. Suppose p = -5*l + 3*y + 45, l - 3*y - 9 = -0. What is the smallest common multiple of l and (6\/2 + -2)*8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -695, -1387, -2075, -2759?\nAnswer: -3439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 + 454. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w - 2*w**2 + w)*(-8 + 7 - 12)*(2*w - 3*w + 0*w) as a*w + i*w**3 + h*w**2 + u and give i.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 2:45 AM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 7*l + 6. Let s be m(6). Suppose 0 = 2*r - 5*p + 2*p, 4*r + 5*p = s. Solve -2*j - 2*j - 16 = r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**6\/360 - x**5\/12 + x**3\/3 + 2. Let k(v) be the third derivative of u(v). Is k(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 17 = -5*o, -2*l - 31 = -22*o + 15*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 2*l = -4*l - 10, 35347 - 35355 = 4*n + 5*l for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/28)\/(-1 - 9\/(-8))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2105869*a. Let u(f) = -2*f**2. Determine o(u(t)).\nAnswer: -4211738*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8426 + -8305. What is the remainder when l is divided by (25\/(-3))\/(1\/(-3))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108050, -432961, -974470, -1732571, -2707258, -3898525?\nAnswer: -5306366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343*s = -5*z + 339*s - 106, -z + s = -31 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 340 (base 5) to base 16.\nAnswer: 5f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l + 3*m - 7, -42*m = -3*l - 47*m + 23 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -81 - 6*x + 154 + 4*x**2 - 73 wrt x.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10, 14.046, 6?\nAnswer: 14.046","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 4420?\nAnswer: -4424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14.18 + 14. Let y = 0.48 + o. Put y, 0.1, 2 in decreasing order.\nAnswer: 2, y, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((4\/(-8))\/((-5)\/(-2))). Let o be -36 + 35 + 2\/(-2). Which is the nearest to 0.1? (a) o (b) 1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 divided by 5621.\nAnswer: 9\/803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/311 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2130\/257, -5, 5, -3\/7 in descending order.\nAnswer: 5, -3\/7, -5, -7, -2130\/257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*i + 24 = 0. Let m = -35 - -82. What is the remainder when m is divided by i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -66 + 51 + 8 + 0 + 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 0*w - 4 + 3 - 1 - w + 2*w**3. Let g be p(1). Put 0, 3, g in decreasing order.\nAnswer: g, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10580 and 40.\nAnswer: 21160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8699 - -14852. What is the highest common divisor of 21 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 - 124\/3. Which is the closest to -0.2? (a) 0.5 (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w + 8*w + 5*k = -5, -21 = -w - 4*k for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5252, 5299, 5344, 5381, 5404?\nAnswer: 5407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 84 = -p. Suppose 2*m - 68 - p = 0. Suppose -z + 2 = 0, -m = -2*t + t - z. Is t a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/1754 and -19\/7016?\nAnswer: 7016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 49 = -5*k + 2*k, -4*k = 4*s - 108. Is 26 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6786849555?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10065 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 115?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -357*p**4 - 2*p**3 + 53*p?\nAnswer: -4284*p**2 - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16721\/7 - (174\/(-21) + 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*d + 180*d - 79*d - 84*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 731642?\nAnswer: 2, 359, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2286.1 + -2286. Let u = -7 - -11. Which is the closest to 0? (a) u (b) f (c) -78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 3. Let n = w + -11. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57294866\/3 >= 19098288?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8*(-7)\/((-392)\/77). Suppose 4*y - 54 = -5*b, -5*y + n - 26 = -2*b. Solve 17*k - b = 15*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 10 = -4*b + 2*b, 0 = b - c + 8. Calculate the remainder when 2\/1*13\/2 is divided by b\/((-8)\/(-4)*-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.95451 litres in millilitres?\nAnswer: 42954.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 509 is divided by 442?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1783695.76 rounded to the nearest 100?\nAnswer: -1783700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 212, 442, 698, 986, 1312?\n\"Answer: k**3 + 7*k**2 + 202*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 4:08 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10 (b) 0 (c) -3\/2 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 70, 100, 130?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 704.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 10540215?\nAnswer: -10540214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/2091012 and -101\/143220?\nAnswer: 10455060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(112) - sqrt(7)) + sqrt(7) + sqrt(7))**2 + sqrt(14)\/sqrt(32) + sqrt(7) + sqrt(7) + -4.\nAnswer: -71*sqrt(7)\/4 + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 716076266?\nAnswer: -716076267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*a + m, 3 = 5*m - 2. Suppose 12 + 2 = 2*y. What is the least common multiple of y and a?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1879 - 1888 = 3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (14*(-20)\/840)\/(10\/(-1200))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33677, 33666, 33651, 33632, 33609?\nAnswer: 33582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + -2 + sqrt(45) + (sqrt(5) - 3*sqrt(180)) + (sqrt(5) + 1 + (sqrt(5) - sqrt(10)\/sqrt(2))**2 - (sqrt(245)*-2 - sqrt(245))).\nAnswer: -1 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 679601502 and -3.0788.\nAnswer: 679601498.9212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -6*sqrt(1331) + 4 + sqrt(1331)*3 + 4)**2.\nAnswer: -858*sqrt(11) + 12148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 12:42 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 6*t + 2. Let u be i(-6). Solve 1 = -u*a + 3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-177)\/4 + 2\/8. Let i = p - -63. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 53*w**7\/2 - 338*w**3\/3 + 4*w - 87. What is the second derivative of m(k) wrt k?\nAnswer: 22260*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 424\/88 - 4\/(-22). Suppose 3*b = s*b + 24. Let m = b - -15. Is m a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101493?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6*b. Suppose -2*f = -8, 2 = -3*n - 5*f + 22. Let x(l) be the second derivative of -9*l + n*l**3 + 0*l**2 + 1\/4*l**4 + 0. Calculate x(p(i)).\nAnswer: 108*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sq when two letters picked without replacement from qqqsqs.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 122937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.2, -3, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.8 (b) -1827.5 (c) -4 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-8)*p**11*p*(p\/(p\/((p*p**(-11))\/p)))\/p**(-14) assuming p is positive.\nAnswer: p**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 2. Determine b(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23 and 1219?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 8:03 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8 * 31860.46\nAnswer: 254883.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*1\/(-24)*7\/7*-15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1869 and 224?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479 is divided by 26.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 12*t**2 + 6*t - 7. Let k be c(5). Let n = -515 + k. Find the common denominator of 2\/(-6) - (-356)\/n and 25\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60 (base 8) to base 16\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -153 - -72. Let f = 115 + k. What are the prime factors of f?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 109879118?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h*h\/h**(6\/7)*h*h*h*h))\/h)\/(h\/(h*h\/h**(-2))))\/(h\/h**1)**(-17)*(h\/h**0)**2\/(h**(-2)\/h*h**(-2\/15)) assuming h is positive.\nAnswer: h**(209\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/6*6\/(-20).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/5)*q**1)\/(q**(2\/3))**(-9\/2))\/((q*(q*q**(-1)*q)\/q)**2\/(q**(1\/6)\/(q\/q**4*q))) assuming q is positive.\nAnswer: q**(119\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0493869939 rounded to three decimal places?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -218718 + 218723. What is the remainder when ((-24)\/(-9))\/((-2)\/(-84)) is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1672 is divided by 835?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 702?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10 times -0.393\nAnswer: -3.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 1, -k = -5*j - 0*j - 24. Put j, -4, 0.4 in descending order.\nAnswer: 0.4, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47187899?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -904*f**2*p**6 + 48*f**2*p**3 - 8*f**2 + f*p**2 + 1352*f*p wrt p.\nAnswer: -108480*f**2*p**3 + 288*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 1:25 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i + 559547 - 559547. Let f(q) = -q**2 - q + 1. Let s(z) = -8*z**2 - 10*z + 10. Let b(j) = -20*f(j) + 2*s(j). Give b(y(o)).\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 2, 2\/11, -0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46025 is divided by 23009.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 18606, 36993, 55378, 73761?\n\"Answer: -v**2 + 18390*v + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-7)\/((b\/(b\/b**(-1\/12)*b))\/b))\/((b\/(b*b*b**(3\/8)))\/(b*b*b**(9\/5)*b)) assuming b is positive.\nAnswer: b**(151\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 + -ac18?\nAnswer: -ac08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-19329)\/(-6822) - (-10)\/(-3)*5\/20. Factor 6\/5*o + 0 + 93\/5*o**s.\nAnswer: 3*o*(31*o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -8, 0*m - 6 = -z - m. Suppose 0*u + 8 = -5*j + z*u, -2*j = -3*u + 6. Suppose l - 5*s = 35, 4*l + j*s - 68 = -4*s. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6\/13))**(-10) assuming v is positive.\nAnswer: v**(60\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**2 + 1604*c - 5432424 = 0.\nAnswer: -1383, 982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 114 - 46. What are the prime factors of ((-3)\/27)\/(6\/(-27))*m?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 258864?\nAnswer: 258863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -288, -2565, -8834, -21087, -41316, -71513, -113670, -169779?\n\"Answer: -332*r**3 - 4*r**2 + 59*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -4 + -1 - 18 - (-606 + 618)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -2. Let k = b + 32. Suppose -m = 2*m - k. 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: How many minutes are there between 8:04 AM and 1:23 PM?\nAnswer: 319","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -9*b**2 - 5 - 4*b + 5*b - b. Suppose -3*c = 0, -4*f - 2*c + 20 = 2*c. Let l(q) = 4 + 4 + f - 10 + 5*q**2. Calculate -5*l(d) - 3*p(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1 - (6 - -4 - -2) - -5\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -u - 3*u - 24, -u + 14 = 4*n. Suppose 5*d - 583 = -n*h, h - 113 = -d - h. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -7*u. Let h be (-3)\/(-1 + 5\/2). What is the remainder when y(h) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3252258?\nAnswer: 2, 3, 229, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 245 = 68. What are the prime factors of s?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 4 + -9 - -13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 10*w**2 - 14*w**2 + 6*w**2. Let u(y) = 27*y. Give u(n(z)).\nAnswer: 54*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -100 + 95. Let i(j) = -6*j**3 + 9*j**2 + 5*j + 5. Let t(k) = k**3 - k**2 - k - 1. What is s*t(w) - i(w)?\nAnswer: w**3 - 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.9 - 6. Let p = 6 - 3. What is the second smallest value in n, p, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7133 + -2384. Is (u\/(-62))\/(5\/4 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 0.0325393.\nAnswer: 0.01301572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 8, 0 = -5*s - 3*q - 121 + 77. Let w = -2819\/20 - -141. Sort -3, w, s in increasing order.\nAnswer: s, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/5 - 64*r\/5.\nAnswer: r*(r - 64)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021221011 (base 3) in base 4?\nAnswer: 12031321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*p - 968, 4*p + 0*o + 2*o = 1968. Is 5\/(-15) + p\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 84*c. Let w(h) = -2*h**2 + 459. Determine w(z(b)).\nAnswer: -14112*b**2 + 459","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.3 and -18.036826.\nAnswer: -16.736826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/((-140)\/24)*168. Suppose 52*l - 54*l + o = 0. What is the highest common factor of 54 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + z - 1174 = -2*a, -3*z - 388 = -a. List the prime factors of a.\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**5 - 5*c**5 + 3*c**5 + (-2*c**2 + 1 - 1)*(0*c**3 - 2*c**3 + 4*c**3) + 161*c**4 - 2*c**2 + 5*c**5 - 161*c**4 + 2*c**3.\nAnswer: -2*c**5 + 2*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 3. What is the remainder when t is divided by (2 + -1)\/((-2)\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1729110*c*n**6 + 7*c*n**5 + 97*c*n**2 - 4*c*n + 14*c - 140*n**2 + 2*n wrt n.\nAnswer: 207493200*c*n**3 + 420*c*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*d**3 - 3 + 5 - 7*d**3 + d**3 - d**3 + d**3 + (-8 - 3 - 3)*(-d**2 + d**2 - d**3).\nAnswer: 14*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 27c7 - -1db17?\nAnswer: 213de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u - 2. Let r be t(-2). Suppose r = -3*j + 4*m + 62, 86 = 4*j - 2*m - 0*m. Solve 7*l = 3*l - 3*g - j, -10 = 5*g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 4*g + 1. Suppose 4*w - 4*s + 20 = 0, -2*w + 4*w - 5*s = -22. Let q(d) = d. What is w*o(i) - 2*q(i)?\nAnswer: i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 351214777.\nAnswer: 351214781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 2*k + 168. Suppose -4*i = -4*y + 20, 0*i - 5*i + 15 = 3*y. Is a(i) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1416*j**3*m**3 - 2*j**3*m - 2*j**3 + 62*j**2*m**3 + 10*j**2*m**2 + 4047*j**2*m - 155*j*m - 4*m**3 + m wrt m.\nAnswer: -8496*j**3 + 372*j**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 1:01 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -682*n + 8123505 = -3760294 + 2674071. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 1.8. Suppose 3*d + d - 12 = 0. Let p = 21 - 20. Which is the nearest to p? (a) x (b) d (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 48.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4 - 2 = 0. Suppose -h = -y*h. Suppose 5*r - o - 14 = h, 5*r + 7*o = 2*o + 20. Solve r*i - 3 - 12 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(189) - sqrt(189)*-2) + sqrt(189))\/sqrt(9))\/sqrt(7).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -94*((-1107525)\/1992*-2 - -2). Let h = 104713 + a. Find the common denominator of 145\/12 and h.\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2360021 - 10790658\nAnswer: -8430637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v = -6*v - 22020. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-14*(-391)\/1288)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2635.721 to the nearest one hundred.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1191*n + 1193*n = 182. What is the highest common divisor of 39 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f - f + 2*f)*(2*f**2 - 2*f**2 + f**2) + 18*f**3 - 36*f**3 + 11*f**3.\nAnswer: -11*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 16, -7, 5, 0.2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 + -18. Is n < 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -806*g + 2641. Let m be h(3). Calculate the highest common divisor of m and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 1851*g - 3482. Is c(12) a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -1110001000100?\nAnswer: 1110001000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -8*c + 1. Suppose -155*n + 163*n = 48. Let o(f) = -f. Calculate n*o(u) - s(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*q**2 - 4*q**5 + 23*q**2 - 981*q**3 + 960*q**3 + 85*q wrt q.\nAnswer: -240*q**2 - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 691*q**4\/4 + 25*q**3\/6 - 6*q**2 + 14*q. Let b be x(-13). Round b to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2161.\nAnswer: 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*4\/(-4 - -3). Suppose 2*g - 5*t = -18, -4*t = 5*g - 7 - 14. Let p = g - x. Sort p, 1, -4.\nAnswer: -4, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 944 divide 100882447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -515*q**4 - 774*q**2 + 535*q**4 - 1078*q**4 wrt q?\nAnswer: -25392*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -317 = -5*s + 113. List the prime factors of s.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 19*t**2 + 1207*t - 1767. Give y(-65).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 3. Let t be (62\/24 + (-336)\/126)*3. Which is the nearest to 0.1? (a) -0.4 (b) -3 (c) t (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tutuhhuthuuuhuuhh. What is prob of sequence hu?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 5) to base 8.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 6*s**2 + 3\/5*s**3 + 69\/5*s + 42\/5 = 0.\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/29? (a) 4 (b) -0.07 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*l**6 + 5*l**5 + 4*l**4 + 4*l**2 - 3*l + 13.\nAnswer: -360*l**3 + 300*l**2 + 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116 divided by 1472756.\nAnswer: -29\/368189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35524 - 4475945\/126. What is the common denominator of 85\/96 and k?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-10)*-3*1850\/(-185).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2816 (base 11) to base 16.\nAnswer: -e3f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 51\/4 (c) 2\/11 (d) 115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/14)\/((-3)\/9). Let x be 1 + -6 + (-624)\/(-144). Which is the biggest value? (a) f (b) 0 (c) x (d) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25786 divided by 1010?\nAnswer: 12893\/505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -307 - -322. Suppose 5*x + 2*u + 8 = 2, r = 2*x - 5*u. Let j = -5273\/11 - -479. Which is bigger: j or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 r, and 1 l when four letters picked without replacement from llqrlqllrqdlqr.\nAnswer: 108\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 179892 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*z**2 - 12\/7*z + 18\/7.\nAnswer: 2*(z - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4 - 615846*i**3 - 1231701*i**2 - 615852*i.\nAnswer: 3*i*(i - 205284)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 281 + -169. Suppose -2*d + x = -3*o, -4*o - 114 - 20 = 5*d. Let h = o - -71. List the prime factors of h.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -113 - -102. Let y(u) = 9*u**2 + 7*u - 20. Let i be y(g). Suppose 0 = 3*h - 1765 - i. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32\/161 - 2\/23. Let u = o + -3\/14. Suppose -16*g + 0*g = 32. What is the second biggest value in -5, u, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17947 + -4?\nAnswer: 17943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 0*p**2 - 5*p - 5 - 6*p**2 - 5 - 2. Let g be d(-6). What is the highest common factor of g and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2211 (base 3) to base 4.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1504*n**4\/5 - 10144*n**3\/5 - 6338*n**2\/5 + 458*n - 12\/5 = 0.\nAnswer: -6, -1, 1\/188, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -2, -131, -5, 5 in increasing order.\nAnswer: -131, -13, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*z + 1533 + 636 = -497. What is the highest common divisor of z and 5394?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1045000 rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -0*s + 60. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20577, -41138, -61675, -82176, -102629, -123022?\nAnswer: -143343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - sqrt(152)*-1 - sqrt(152)) + -1*sqrt(38)*2)\/(-4*sqrt(2)*-1*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-2) - -5) + 2. Put 2, -4, s in descending order.\nAnswer: s, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/21, 0.034, 5, -0.075, -0.5?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 52*a*x - 4*a - o**2*x**2 + 18*o**2 wrt x.\nAnswer: 52*a - 2*o**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29897, -32361, -34825, -37289?\nAnswer: -39753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 1:48 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -109.4 + -11.6. Let x = n + 118. Sort -2\/5, x, -81.\nAnswer: -81, x, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-29)\/(3393\/(-1260)))\/(76\/988).\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**3 + 1130*g**2 + 15526*g + 53998 = 0. What is g?\nAnswer: -551, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -731, -834, -947, -1076, -1227, -1406, -1619, -1872?\n\"Answer: -b**3 + b**2 - 99*b - 632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = t - 4. Differentiate -3 + 2 - 5*d**t + d**3 with respect to d.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8736444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -70, -225, -332, -367, -306, -125, 200?\n\"Answer: 4*f**3 - 183*f + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6981.345 rounded to the nearest 100?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 275293 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 - 3 - 2\/2. Let p(n) = n**3 - n**2 - 2. Let v be p(f). Suppose 1 = u + 5*i, 0 = v*u + 3*i + i - 8. Calculate the greatest common divisor of u and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 2 + 0 + 4. Let y = b + -5. Solve y*v = 2*v + 6, -9 = -w + 4*v for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1127*k + 610*k + 492*k = -386*k + 36461 for k.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002.2947 - -270035?\nAnswer: 269032.7053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i - 4. Let z be w(3). Let v(k) = -2*k + 4 + 2*k - 8*k**3 + k + 10*k**3 - 2*k**2. Let r be v(z). Calculate the greatest common factor of r and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 9:35 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 333*y + 14. Let z be i(-5). Is (-2)\/(-8) + z\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 608329585?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24192 and 11433744.\nAnswer: 91469952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*n - 9, 15 = -n + 6*n - s. What is the second derivative of -4*w + n*w**2 + 4*w + w - 3*w wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.75 - -0.6. Suppose -143650 = -12*r - 143710. Let m = 0.9 + -0.6. Which is the nearest to 0.1? (a) z (b) m (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 2*r = 24, 588*r - 591*r - 39 = -3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/10)\/(((-3)\/5)\/3). Let h(y) = -4 - 3 - 2*y + 9*y + 0. Let o(f) = 4*f - 4. Determine m*h(g) - 5*o(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 5:54 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -230 + 559. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by -6808540?\nAnswer: -7\/3404270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2238, -4519, -6816, -9135, -11482?\nAnswer: -13863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-14) - 57\/(-21). Suppose -z*m + m + 2*i = -30, -5*i + 5 = 0. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23\/92*6)\/(21\/560).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.0461 - 0.0661. Let o = d + -10.2. Let z = o - 1.25. What is z rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(10) - -2*sqrt(10)) + sqrt(10))\/sqrt(5).\nAnswer: 2 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, h: 1, p: 1, z: 1}. Give prob of sequence pih.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38 + 27 - -34) + -24 - (18 + -1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 - 50. Sort f, 0, 2 in descending order.\nAnswer: 2, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17100 divided by 684.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 2*s + 13, -4*s - 75*n + 74*n = -1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4343094247?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 - 5*j**3 + 4*j**3 - 1)*(7 + 10*j - 7 + (-3*j + j + 4*j)*(4 - 5 - 1) + 8*j - 8*j + 14*j).\nAnswer: -60*j**4 - 20*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.28192097 to three dps.\nAnswer: 0.282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 1. Let b be 2 - 4 - (1 + -7). Let a = -132.7 + 127.7. Sort b, r, a in increasing order.\nAnswer: a, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - l = 538, -b + 263 = -3*l + l. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -3\/5 - 6\/5*r - 3\/5*r**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15740101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 10) to base 9.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 28063984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 860 and 245.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 384485 and 20960?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 2:43 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*k**5 - k**4 + 307*k wrt k.\nAnswer: 560*k**3 - 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -65.55? (a) 0 (b) -151 (c) 0.2 (d) -2\/7 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 + -45. Put 3\/4, 0.03, r in ascending order.\nAnswer: 0.03, 3\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 6 = 4, 0 = 2*n - 3*z - 44. Calculate the remainder when n is divided by -1 - 1 - (-75)\/5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 29*f**2. Let a(p) = -4*p**2 - 10*p. Let l(g) = g**2 + 3*g. Let v = 188 - 198. Let i(o) = v*l(o) - 3*a(o). Calculate w(i(j)).\nAnswer: 116*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -282.5 or 1\/2?\nAnswer: -282.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 7*z - 20 = 0. Find the common denominator of 1\/2 and ((-72)\/(-50))\/(z\/20).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*i - 3*h = -20, 3*h = -2*i + 25. Suppose -i*j + 41 = -5*p - 319, 5*p - 179 = -2*j. Calculate the greatest common divisor of j and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-8))\/(1\/2*-1). Suppose -f + 4*u - d = 0, -f + 7 = 6*u - 2*u. Solve -w - f = -0*n + 3*n, 5*w - 3*n = -15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 846 and 3854.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.002, -2\/7, 1\/13, -9\/2.\nAnswer: -9\/2, -2\/7, 0.002, 1\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 r when two letters picked without replacement from {w: 2, r: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64 or 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5940920.22 rounded to the nearest 100000?\nAnswer: -5900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140 and 420?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3146861 is divided by 47679?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/3 in -0.08, 2\/131, -0.5, -5\/2, 2\/7?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/5467 + 5463\/21868. What is the nearest to 3 in 6, a, -0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9057732001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1245335 to the nearest integer?\nAnswer: 1116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p**3 - 4*p**2 + 3*p - 6. Let q(r) = -3*r**3 + 3*r**2 - 2*r + 5. Give 6*q(c) + 5*v(c).\nAnswer: 2*c**3 - 2*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + d + 19. Let k = 64 - 64. Determine c(k).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -530287166 divided by 16102\nAnswer: -32933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -45206*i**2. Let w(p) = -16*p. Determine w(h(n)).\nAnswer: 723296*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 5 - 21 = c, 0 = -163*c + 154*c + 3*q - 39 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 5*x**2 - 4*x + 14. What is i(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5174356 less than 0.1?\nAnswer: 0.6174356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 184\/805*((-270)\/(-24))\/9.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m - 18. Does 4 divide x(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9185 by 5.\nAnswer: -1837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1816431309?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 57*l**2 + 182*l + 1. Let z be r(-3). Put -3, 3, z in increasing order.\nAnswer: z, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -0*q - 9*q. Solve q*a - 20 = -2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4918 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - 68. Let w = 103 + o. Let a be (60\/2)\/(w\/(-700)). What is a rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 2 - (8 + -7 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) -3\/2684 (c) -468\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 178, 5, -69, -5 in descending order.\nAnswer: 178, 5, 0, -3, -5, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -22, -235, -810, -1927, -3766, -6507, -10330?\n\"Answer: -30*s**3 - s**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + 24 - (0 - 10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1641220000?\nAnswer: 2, 5, 7, 19, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 36*l + 36*l + 2*l**3)*(0*l + 0*l - l).\nAnswer: -2*l**4 - 7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -8*g - 4*g + 2*g + 2*g**3 + 4 - g**3 - 9*g**2. Calculate the least common multiple of t(10) and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21048927 and 4206.\nAnswer: 2103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 16 = -4*o - 4, 6 = 3*o - 3*p. Let d be o\/8 - (-2)\/8. Suppose 0 = 2*w - 5*r + 490, -1252 = -d*w + 5*w + r. Round w to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 321891293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-693)\/(-14))\/((2\/1)\/(-12)). Let r = 426 + a. List the prime factors of r.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -261.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t - 2 + 2*t**4 + 6*t - 10*t + t**3 to the form b*t**4 + q + c*t**3 + u*t + a*t**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6) - (-272)\/(-306).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence he when two letters picked without replacement from epeeehjp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 10. Let w be i(6). Let a(v) be the first derivative of 4*v**2 - 4*v + 10 - 12*v**3 + 16*v**3 + w*v. Find the second derivative of a(o) wrt o.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -156 by -39.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -69 (b) -1 (c) -2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25, 9, 1, 7, 33, 85, 169?\n\"Answer: g**3 - 2*g**2 - 17*g + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iurl when four letters picked without replacement from rriirrlur?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*v = -2, r - 1 = 4*r - 2*v. Suppose -4*k + 12 = -r*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2515 is divided by 837.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 8*k + 12. Let n be s(-7). Solve n*r - 1 = -x + 8, 3*x - 17 = -5*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -160263, -160265, -160267?\n\"Answer: -2*s - 160261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + (7426\/(-1501) - 1\/19). Which is smaller: x or 3\/887?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*c**2 + 347*c**2 - 237*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 255 and 566246795?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*u + 18312 = 25*u + 155*u. What is the highest common factor of 9702 and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 + 40. Let c be (4 + m\/6)\/((-2)\/(-20)). Let d = -20 + c. Calculate the highest common divisor of 25 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 16*i**2. Let y(a) = -5*a**2. What is t(y(f))?\nAnswer: 400*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 129954.1 rounded to the nearest 1000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 3*r**2 + 10*r**2 + 4 - r**3 + 6*r**2 to f + m*r + c*r**2 + o*r**3 and give c.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -28 - -14316?\nAnswer: 14299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 8:19 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 213 + -213.0202. Round t to three dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9886519 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -42 + 48. Suppose 5*o - 14 - b = 0. Put 3, o, -2, -3 in descending order.\nAnswer: o, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1901 + 0.18.\nAnswer: 1901.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-450)\/180 + 3\/2*2383?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61 divided by 153\nAnswer: 61\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1551204 and 89972.\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011101000000 - 100?\nAnswer: -11011101000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 37 - (-3 - -10)) + 3 + -2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 205\/6 + -35. Let h be (1 + -3)\/((-45)\/10 - -4). Let d be (-10)\/h*90\/75. What is the nearest to 2\/5 in 4, a, d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 0 - 6 - (0 + -6) - -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 226961 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 z when three letters picked without replacement from {q: 2, z: 3, n: 5}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**25\/(b*b**(2\/87)))**(-3) assuming b is positive.\nAnswer: b**(-2086\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 42 = 4*o, 2*j = -0*o - 3*o + 21. Suppose -2*z - 24 = 4*s, -5*z + 3*s + j = 1. Is 5 a factor of ((-3)\/z)\/(3\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -53*r - 1. Is l(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -46542, -186169, -418880, -744675, -1163554, -1675517, -2280564?\n\"Answer: -46542*q**2 - q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/3)\/((-3)\/(-225)*5). What is the least common multiple of 10 and 34 + 0 + (7 - o)?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3869 (b) 1\/5 (c) 74 (d) -5 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3 = 9. Let u = q + 10. Solve -4*m + 4 = -u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.07152 and 0.6.\nAnswer: 0.52848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.5 - 20.5. Let a = 16 + w. What is the nearest to 0.1 in a, -3\/2, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -0.093?\nAnswer: 0.0465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(3\/18*3). Let l be ((-480)\/6)\/(5\/n + -2). Round l to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 5*l**2 - 3*l - 1. Let a be d(4). Suppose -a*y - 33 = 3*s, 5*s - 4*y = -y - 39. Let i = -8 - s. What is the remainder when i is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 51693 = -3*f, 2*f - 12*p = -11*p + 34462. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(3\/(-47)) + 2. Suppose 0 = -5*i + a + 51. What is the remainder when (-1 - -2) + 114\/2 is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 11*y - 9. Let w be d(12). Suppose -2*t + 12 = 2*t. Is w > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8029 is divided by 322.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 174644*j**3 - 38177*j**3 - 4.\nAnswer: 136467*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/8)\/5 - -2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55537 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 64 = n. Let q = n + -30. Suppose 40 = 4*t - 4*x, -3*t - 3*x + q = 2*t. Calculate the remainder when 21 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 438*u - 42725 = 410*u + 337123. Is u a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -606 and 229351329215?\nAnswer: 229351329821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7708.32545 and -6.4144.\nAnswer: -7714.73985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 819.1594 litres to millilitres.\nAnswer: 819159.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -25, -222, -765, -1828, -3585, -6210, -9877, -14760?\n\"Answer: -29*s**3 + s**2 + 3*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7053, 14108, 21153, 28182, 35189, 42168?\nAnswer: 49113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.76639ns in seconds?\nAnswer: 0.00000008376639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(-3)\/(90\/(-4)). Let j = 1.2 - 0.7. Let k = 0.6 - j. Is d at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 19624213.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -203*m**4\/4 + 362*m**3 + 741. What is the third derivative of u(c) wrt c?\nAnswer: -1218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/((-225)\/18 + 10). Let n(t) be the second derivative of 0 + 0*t**i - 5\/3*t**3 + 8*t. Let y(a) = -a. Determine n(y(h)).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-4)\/12)\/(5\/((-45)\/(-14)))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/5*(-10)\/(-2). Let k(g) = g**2 + 6*g + 9. Let y(d) = -d**2 - d - 1. Let p(m) = x*y(m) - k(m). Is p(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vbsvvdvbss. Give prob of sequence vdbs.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -k + 7, -5*w - 29 - 12 = k. Let i be 1\/(w\/(-10) - 1). What is the smallest value in 0.3, -0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 135 + 393. Suppose 7*a + 4*a = -c. Let p = a - -66. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 6:13 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 2*s + 3*w, 7*s - 50*w = -46*w + 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 8:30 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 - 1326385*h + 1326390.\nAnswer: -5*(h - 1)*(h + 265278)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 33 = -4*k - 5*f, 0 = k + 3*f + 11 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15582, 31867, 48152, 64437?\n\"Answer: 16285*f - 703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -13 - -7 - -5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 68, 144, 290, 530?\nAnswer: 888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -364785*m**5 + 344540*m**2 wrt m?\nAnswer: -21887100*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/228 and -14\/3.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -98100 to the nearest 1000.\nAnswer: -98000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 23*q**2 + 160*q - 2519. Calculate the least common multiple of w(19) and 50.\nAnswer: 19650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -5*n**5 - 85*n**4 + 75*n**3 + 1225*n**2 - 970*n - 2040 = 0?\nAnswer: -17, -4, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -0.5, 49 in decreasing order.\nAnswer: 49, -0.5, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**2 - 230982*n + 60723216 = 0. What is n?\nAnswer: -77256, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 2:07 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84 - -33) + -125 + 44 + 0?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5, 20, 63, 124, 203, 300, 415?\n\"Answer: 9*i**2 - 2*i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 347985 and 114.\nAnswer: 695970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 28 = -9*v - 4*j, 2*v - 56 = 5*j. Let t(g) = -2*g - 7. Let u be t(-7). Solve -6*l + v*l - u = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 5827586642?\nAnswer: 5827586631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + m**3 + m**2. Let k = 8 + -1. Suppose 5*v + 2*u + k = -4, -5*v - 3*u = 14. Let b(g) = -2*g**3. What is v*b(d) - 4*y(d)?\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375*u - 66 = -381*u. Let b(a) = 2*a**2 - 22*a - 4. Calculate b(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p - 810 = -30*p. What is the greatest common divisor of 18 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -1. Let z(u) be the first derivative of -u**2\/2 - 2*u + 37. Let q be z(v). Solve q = 2*o - o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 16 = -a, 0*l - l + 3*a = -2. Put -3, 6, l, 4 in descending order.\nAnswer: 6, l, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -11*d**4 - 5*d**2 + 39. Let f(h) = -6*h**4 - 2*h**2 + 20. Let z(w) = -5*f(w) + 2*x(w). What is the derivative of z(y) wrt y?\nAnswer: 32*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83157 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-44)\/(-154) + (1 - 2\/7). Let f be u\/10 + 1\/15. Factor 2 - 8\/3*l + 7\/6*l**2 - f*l**3.\nAnswer: -(l - 3)*(l - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106263 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 37, 37.825 in descending order.\nAnswer: 37.825, 37, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -111, -3, 1, 7, 0, 3 in descending order.\nAnswer: 7, 3, 1, 0, -3, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - -7*(-1)\/(-9). Let y(l) = 11*l**2 + 26*l + 2. Let v be y(-3). Suppose -5*n + m = -v - 24, 3*n = m + 27. Is b < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2947406 is divided by 118.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*b = 0, 138 = 3*m + b + 134. Solve 0 = 2*j + 4*o - m, 7 = -2*j - 5*o + 11 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k - 4. Let l be -5 + -4 - (-2 - 1). Let x be p(l). Calculate the highest common divisor of 180 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.10455 to two decimal places.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/3201 and 125\/1164?\nAnswer: 12804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 19864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-3*n**4 + 3*n**4 - 2*n**4 + (n**4 + 5*n**4 - 4*n**4)*(-2 + 3 - 2) - 2*n**4 + n**4 - n**4 - 5*n**4 - n**4 + 0*n**4).\nAnswer: -24*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*a - 11 + 19 - 10 + 0*a)*(1932*a**2 - 3340 + 3340) in the form g*a**2 + y*a + u + b*a**3 and give b.\nAnswer: -13524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8694 is divided by 38?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 281 - 278. Solve c*z = 4*g + 2, -4*z + 12 = 3*g + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.07 + 30183.\nAnswer: 30185.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -c, -4*c + 0*z - 2*z = 0. Solve c = -a - a + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 - 309*f**2 + 2328*f - 4560.\nAnswer: 3*(f - 95)*(f - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -6*n**3 - 2*n**2 + 2*n + 2. Let c be y(-2). Let t = c - 26. Calculate the smallest common multiple of 2\/8*-2*-28 and t.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1136.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 11*s + 15. Let j be x(2). Put -120, j, 1, -1, 2 in ascending order.\nAnswer: -120, j, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -15\/2*o + 8 - 1\/2*o**2.\nAnswer: -(o - 1)*(o + 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 2*j**2 - 3*j. Let w be h(-2). Find the common denominator of 0 + ((-8)\/w)\/((-210)\/1035) and 69\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3039 - -3040. Sort -20, 1\/4, u, -6, -2\/3 in decreasing order.\nAnswer: u, 1\/4, -2\/3, -6, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 6. Let g(j) be the second derivative of 7*j**4\/12 + 11*j**3\/6 - 11*j**2\/2 - j. Let b(y) = 2*y**2 + 3*y - 3. Determine n*g(f) - 22*b(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16510714.000067 + -16510564. Let q = 150 - u. Round q to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 4:36 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-30) + (-148)\/(-10). Suppose 0 = 8*o - 3*o - k. What is the second derivative of -i**4 + o*i - 27*i**2 + 27*i**2 wrt i?\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/16*(0 - 16 - (-42 - (-86)\/129))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14370 = -4*u + f + f, -3*u + 10780 = f. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125)*4 - (3 + sqrt(5) + 0)**2.\nAnswer: -14 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -189*c - 108 wrt c?\nAnswer: -189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2269229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g. Let m be w(2). Let c be -3*(m + 3) + 0. Let j(r) = 2*r + 4. Determine j(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 128*v**3 - 10*v**2 + 18*v - 1. Let y be l(2). Which is bigger: y or 1017?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 2) + (-9 - (20 + -35)) - -17\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/40 and 5\/16116?\nAnswer: 161160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 1434 = 3*r. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 5. Suppose 0 = h*s - 3 - 41. Suppose -2*y + 7*y - 495 = 0. Calculate the highest common divisor of s and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 1336*j**3 + 4*j**2 - 8*j - 1. Is q(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v\/(v\/(v*v**(2\/13)))*v*(v*v**8*v)\/v*v**(-6\/5)*v\/(v\/(v\/(v\/v**(-8)))) assuming v is positive.\nAnswer: v**(257\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -8*j + 2. Let d(c) = 15*c - 4. Let o(z) = -d(z) - 2*w(z). Let v(u) = 5*u**2 + 3*u - 3. Give -3*o(b) + v(b).\nAnswer: 5*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20097 and 3663?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 22*k + 15. Give m(-26).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 10*o - 53. Let t be p(5). Let q = 97 + -53. Let n = q - 43. Which is the nearest to n? (a) 0 (b) 3\/2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63052640 take away 1?\nAnswer: -63052641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/((75\/10)\/5). Suppose g - 3*p = p + 80, -2*g + 180 = -a*p. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -434*g**4 - 4098*g**3 - 3*g**2 - 3075789*g.\nAnswer: -5208*g**2 - 24588*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 144367426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 59*q + 128 = 242 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b**3 + 2*b**2 - 4*b + 3. Let t be o(1). Let j be (-3 - -6) + (t - -1). Let r be 0\/(j\/(-1) + 4 + -1). Solve z + 9 - 10 = r for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqqspsss. Give prob of sequence pp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**9\/63 - u**5\/30 - 5*u**2. Find the third derivative of p(r) wrt r.\nAnswer: -960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59741345 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 11*t**3 + t**2 + 3*t + 3. Let m(a) = 29*a**3 + 3*a**2 + 8*a + 8. Let k(z) = -8*i(z) + 3*m(z). Let v(j) = -14*j**3 + 8*j**2. What is -8*k(w) + v(w)?\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 121048292137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -790.327 to the nearest 10.\nAnswer: -790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 1:53 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 828 + -641. Let r be (q\/85)\/(1\/5). Let h be 5 + 1\/(3\/(-6)). Sort -1, r, h in decreasing order.\nAnswer: r, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-4 + -4 + 7).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) -0.27 (c) -0.08 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 346 (base 14) to base 15.\nAnswer: 2d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -300.00000112 + 300. What is t rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1824, -7325, -16502, -29349, -45860?\nAnswer: -66029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -92 - -92. Let q = 39 - 21. Let o be (-4)\/q + 4\/(-63). Sort -0.2, o, j in descending order.\nAnswer: j, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.17 + 0.93. Let g = -0.9 + t. What is the closest to -2\/7 in g, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11422162, -22844324, -34266486, -45688648, -57110810?\n\"Answer: -11422162*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 85 = 85. Let b(w) = w**2 + 36*w - 897. Let p be b(-53). Let x = z - p. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 200878125*z**2 - 256*z + 388360.\nAnswer: 401756250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 5*s + 5*s)*((3*s**2 - 3*s**2 + s**2)*(2 - 2 - s) - 4*s**3 + s**3 + s**3).\nAnswer: -6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**4\/6 - 194225*g**3\/3 - 517939*g**2\/2 + 194225*g\/3 + 776908\/3 = 0.\nAnswer: -4, -1, 1, 388454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 65015276 to the power of 1\/4, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 - 36.88. Which is the third biggest value? (a) -1\/3 (b) 0.1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 0.02, -26.\nAnswer: -26, -1\/6, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0882 + 92.4882. Let p = 92 - v. Which is the smallest value? (a) -0.3 (b) 0.08 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7619, -7593, -7557, -7505, -7431?\n\"Answer: j**3 - j**2 + 22*j - 7641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 385*n - 1428*n + 394*n + 250*n + 400*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 324938.6nm to millimeters.\nAnswer: 0.3249386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.8533943 hours to weeks.\nAnswer: 0.0646035375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 13908959.66 to the nearest 100000.\nAnswer: 13900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - o - 5 = 0, 12*w + 3*o + 6 = 9*w. List the prime factors of (-406)\/(-28) - w\/(-2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 3. Suppose -14*h = 1 + 41. Let g(p) = -p + 2. Let l(r) = h*g(r) + 2*k(r). Determine l(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, c: 5}. What is prob of sequence cc?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 - -41.9. Which is the nearest to 0? (a) -6 (b) -1\/15 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1008) - (sqrt(7) - (sqrt(7) - (sqrt(7) + sqrt(175)))*-5)) + (sqrt(70) + (sqrt(70) + (sqrt(70) - sqrt(70)*2))*3 + sqrt(70))\/(-1*sqrt(250)).\nAnswer: 178*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28.2 - 35. Let x = w + 6.9. What is the closest to x in -2\/11, -5\/4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -20*c**3 - 5*c**2 - 13*c + 19. Let o(t) = -13*t**3 - 3*t**2 - 8*t + 12. Let z = 99 + -91. Let u(b) = z*o(b) - 5*i(b). Let n = -5 + 4. Calculate u(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 5:19 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + (sqrt(4032) + -2*sqrt(4032) + sqrt(4032))\/(sqrt(9)*-1*-1))**2*2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.650125 rounded to three dps?\nAnswer: 4.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 3\/2*k**2 + k**3 + 2 - k. Give z(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2518*l + 589219. Calculate p(234).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7960?\nAnswer: 2, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -3, -187, -12, -2, 122 in decreasing order.\nAnswer: 122, 5, 0, -2, -3, -12, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*t - 2*t - 4*t + (0*t + 4*t - 2*t)*(5 - 5 + 4))*(-3*t**2 - 2*t**2 + t**2) to a*t**2 + x*t**3 + l + v*t and give x.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p. Let m(l) = 11*l**2 - 33*l. Determine 33*d(i) + m(i).\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 5, -1.9, -0.3, 1.8, -2\/9, 0.09?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -95264 - -95258.3. Let k = -3.4 - -3. What is the biggest value in k, p, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**3 - 23*o**2 + 3*o - 6. Let h(y) = -2*y**3 + 11*y**2 - 2*y + 3. Let g(q) = 5*h(q) + 3*v(q). What is the units digit of g(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1216 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35*(213246\/110 - 26).\nAnswer: 7, 73, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 + 0. Let v = 1.2 + g. Let m = -0.0336 + 3.0336. What is the smallest value in -2\/9, v, m?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - 2*l + 260 + 135.\nAnswer: -l + 395","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -910*b**5 - b**4 + 3*b**3 + 6689*b**2 + 1?\nAnswer: -54600*b**2 - 24*b + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*x**4 + 7*x**3 + 2592 wrt x.\nAnswer: -40*x**3 + 21*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1053)*-2*2 - -6*sqrt(1053)*-2))**2.\nAnswer: 9704448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 m when two letters picked without replacement from {j: 2, m: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**5\/20 + 7*c**4\/12 - 7*c**3\/6 - 50*c + 1. Let u be g(2). Let r(f) = -f + 4. Give r(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -7. Let x be 2\/(-5) + 27\/5. Let i = -52\/189 - -449\/945. What is the third biggest value in i, x, y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 123710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2187618.\nAnswer: 2, 3, 149, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + r. Suppose -3*m + 2*k = -3, 3*m + 3*k - k = 15. Let q(t) = 0 + 3*t**m + 0 + 0*t + 2*t. Determine -2*i(u) + q(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 1429388 - 134935 = -213523. Round y to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**6\/30 - b**5\/20 + 5*b**4\/24 - 5*b**3\/6 + 117*b**2. Calculate the remainder when 65 is divided by o(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 9*u**2 + 12*u + 6. Let o be z(-10). Let l = -16 - o. Put l, 3, -4 in descending order.\nAnswer: 3, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 18*m**2 - 66*m - 72. What is o(-21)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 18. Suppose o*q - 2*q = 20. Suppose -q*c - 3 = -3*n, 2*n - 2*c + 5 = 7*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2460)\/(-1233) - 4*(-2)\/(-4). Let t = -788\/6987 + p. What is the third smallest value in t, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2368 and 118509224.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 8. Let l = -3 - -3.5. What is the biggest value in l, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1315 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1210121 + 10?\nAnswer: 1210131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125, 142, 147, 134, 97, 30?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(7) - (sqrt(7) + (sqrt(21)\/(sqrt(3)*1) - sqrt(7)))) + 0 + sqrt(7) + 2 - (2*sqrt(448) - -2*sqrt(175)))**2*4.\nAnswer: -400*sqrt(7) + 17520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -305 > -304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.395627 days to hours.\nAnswer: 177.495048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -123*t**2 + 4*t - 7. Let r be s(6). Let b = -13120\/3 - r. Let p = b - 38. What is the biggest value in p, 0.5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -24, -57, -90, -123?\n\"Answer: -33*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1233*y - 513*y - 20 + 16 - 471*y.\nAnswer: 249*y - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 17*y**2 - 5*y + 7. Give g(-17).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -12763900 to the nearest one hundred thousand.\nAnswer: -12800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 46654934237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59 by 1083.\nAnswer: 59\/1083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 2*f**3 + 2*f)*(1 + 1 + 0) - 208 + 208 + 17*f**3.\nAnswer: 21*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71 + -155. Let g be 18\/(-117) + 1 + m\/(-39). What is the second smallest value in g, 4, 2, 5\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 44 = -5*z + 2*h, 3*z = 4*h + 20. Suppose -625 - 151 = z*o. Let u = o + 140. Calculate the remainder when u is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41010532, 41010522, 41010500, 41010460, 41010396, 41010302?\nAnswer: 41010172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 135 (base 16) to base 11\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {a: 1, v: 7, i: 2, c: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k + 8*k + 8*k + 30*k**2 wrt k?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qke when three letters picked without replacement from {k: 2, q: 1, e: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 y when two letters picked without replacement from pqtpppptqlpppgqypt.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (2 - 4) + (25 - 32).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3592 (base 11) in base 12?\nAnswer: -2877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1374026096 to the power of 1\/2, to the nearest integer?\nAnswer: 37068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(68) + sqrt(68) + 1)*-1)**2 + 5 + sqrt(68)*-1 - (-1*sqrt(68) + 5 + ((sqrt(68) + 2)*1)**2)).\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -10*o + 4 + 61*o + 33*o - 15*o. What is the tens digit of x(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-4)*10\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*h**2 + 2*h**2 + 126*h**2 + 13*h**2.\nAnswer: 160*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2030135 (base 12) in base 16?\nAnswer: 5c13b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-324)\/180)\/(12\/100)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*j = -j - 12, -w - 10 = -3*j. Suppose 0 = -w*f - 2*c + 50, -5*c = 5*f - c - 121. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6201 (base 9) to base 10.\nAnswer: 4537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 17. Let i = 0 - -0.5. Let h = -1 + i. What is the smallest value in h, 2\/11, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 172*p - 53*p + 5 - 59*p - 6 - 61*p + 1791*p**3 to a*p + b*p**2 + f + y*p**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 3) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 0)\/(14\/(840\/(-228)) - -4). Find h, given that 18\/5*h**4 - 24\/5*h**3 + 0 + 0*h + 14\/5*h**a - 8\/5*h**2 = 0.\nAnswer: -2, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j - 2. Let g be o(2). Suppose -f + 0 + 40 = g. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1426 and 920?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 26373, -0.2, 4, -5 in decreasing order.\nAnswer: 26373, 4, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w - 11. Let r(v) be the first derivative of v**2 + 6*v + 2. Give -6*j(f) - 11*r(f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.9 (b) -0.2 (c) 2 (d) -0.3 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**3 - 2*q. Let p be t(2). Let f = -20 + p. Suppose -42 = -o - g, 5*o - 5*g - 240 = -f*o. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 62*c**5\/5 + c**4\/2 - 282*c - 124. Differentiate z(f) with respect to f.\nAnswer: 248*f**3 + 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 + 13)\/(-189) + (-715)\/45\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 5, -2*q + 8*c - 3*c = 21. What is the fourth biggest value in 3, -4, q, -2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27530503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*b + 1492 = 403*b - 8888 for b.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/66 and 46\/67.\nAnswer: 4422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 13933*h + 13403545. What is s(-962)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - r - 7. Calculate the remainder when 23 is divided by k(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14315035 (base 6) to base 8\nAnswer: -1701377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 5*v + 26. Let r be l(8). Suppose -2197 = -r*g - 289. Is g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-6)*((-16)\/(-6))\/1. Let z(b) = -b**2 + 3*b + 6. Let g be z(c). Let u = -16 + 26. Solve g*j + 5*s + 3 = 9, -3*j - u = -2*s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x - 11. Let q be n(7). Let h be (2\/q*14)\/(-1). What is the second derivative of -4*l + h*l**3 - 12*l**2 + 12*l**2 + 9*l wrt l?\nAnswer: 42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-4) - 27\/4. Does 18 divide 140 - (v + 3 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*r + 240. Suppose -r*q - 2886 = -23*q. Calculate the remainder when q is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*q = 2439, 0 = 5*u + 17*q - 19*q - 12178. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 5*m - 303, 6*g - 597 = g - 7*m. Solve l + 1 = 4*k, -k - 101 = 3*l - g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227*y**3 - 231*y**3 + 377*y**3.\nAnswer: -81*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11043 - -50495. Is 28 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*y - 26, 0 = 3*q - y + 11 + 5. What are the prime factors of (-24)\/3*435\/q?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1582 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -15*m**5 + 38780*m**4 + 415055*m**3 + 792440*m**2 - 1713540*m + 467280 = 0?\nAnswer: -6, 1\/3, 1, 2596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 348480 divided by -2.\nAnswer: -174240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*h**2 + 3*h**2 + 36 + 10 - h**2 - 9 + 3*h to the form v*h**2 + i*h + x and give x.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 51*k**2 - 10. Let c(m) = m**2 + 1. What is 2*c(g) + h(g)?\nAnswer: 53*g**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2454 = 3*c - 243, -c + 1619 = 3*t. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -203 or -201?\nAnswer: -203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 14*f**2 - 14*f**2 - 2*f**3 + 41*f**2 - 13*f**2 + f as d + y*f + c*f**2 + t*f**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6164, -6354, -6546, -6740, -6936?\n\"Answer: -d**2 - 187*d - 5976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 2:30 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (2 - 0) + 3. What are the prime factors of ((-135)\/h)\/(6\/(-8))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 - -65. Let p(c) = 7*c - 17. Let f be p(v). What is the third derivative of -5*b**4 - 14*b**2 + 11*b**f - 6*b**4 + 7*b**4 wrt b?\nAnswer: 168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 262 and 19650.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32256 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -91.698635473 - -77.76135916. Let i = b + -0.062730187. Let y = 14 + i. Round y to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 65, 82, 99, 116, 133, 150?\n\"Answer: 17*n + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 7. Let w(j) = -j**2 - 15*j + 16. Let c be w(-16). Calculate z(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170*n**2 + 332*n**2 - 162*n**2 + 5*n**3 + 12*n**3.\nAnswer: 17*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -10*f**6\/3 - 59*f**2\/2 + 9*f - 5. Differentiate n(x) with respect to x.\nAnswer: -400*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59793, -119444, -179097, -238752?\nAnswer: -298409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16 - -1*(0 - -4)\/2. Is (4111\/(-2))\/((-9)\/c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.46 + -0.54. Which is the closest to 4? (a) -2\/7 (b) q (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/17))**(-8\/3)*k**1\/(k*k\/(k\/(k\/(k\/(k*k*(k**(2\/11)\/k*k)\/k))))) assuming k is positive.\nAnswer: k**(-487\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -2*i + 12, 0 = 5*r - 5*i - 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-4 - -5) - (-18 + 9)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 500*i - 1. Let g(b) = 1010*b - 2. What is -4*g(c) + 9*h(c)?\nAnswer: 460*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -458487*k**3 - 1591467 wrt k?\nAnswer: -1375461*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/6 + (10\/(-18) - (-9440)\/(-2124)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*o + 10. What is the remainder when 17 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, r: 2, h: 3, d: 1, o: 1}. What is prob of sequence hron?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 - 0*(0 + -1). Let x be 52\/2 - (-5 + 7). Suppose 3*z + 3*t = u + x, -t - 26 = -3*z. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -36*g**3 - 3*g**2 + 2*g + 4. Let w be r(-1). Suppose 0 = 2*q + w*z - 31*z - 18714, -3*q = 3*z - 28071. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8036059*g**3 - 2815997 wrt g?\nAnswer: -24108177*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3051 - 3002. What is the lowest common multiple of 343 and s?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113269677 a multiple of 521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-984145\nAnswer: -492072.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12222 - -12224. Let x(o) = 5 - 4 + 3 - 5. Let y(n) = -6*n + 3. Calculate f*x(w) + y(w).\nAnswer: -6*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/k**3))**22*(k**(-1\/6))**(-29) assuming k is positive.\nAnswer: k**(557\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4920320 and 1024.\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*k - 5*r + 1739616, -434896 = -k + r. What is k rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 18876?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-10))\/((-20)\/(-50)). Let c be -9 + 4\/(0 - k). Let i be ((-1)\/5)\/(c\/2). Put i, 9, 2 in increasing order.\nAnswer: i, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -456 + 264. Let b = 1346\/7 + y. Factor b*a**2 - 6\/7*a**3 + 4\/7*a + 0.\nAnswer: -2*a*(a - 1)*(3*a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 378388109 and 3014?\nAnswer: 1507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 116844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 14c19?\nAnswer: 14c15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 12:56 PM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + 620\/(-31) - (-19 - 2)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 7*r**2 + 7*r - 3. Let h be u(-8). Suppose -h*q + 2 + 33 = 0. Put -0.5, -5, q in ascending order.\nAnswer: -5, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 159*u**3 - 2*u**2 - 20*u. Let p(f) = f**3 - f**2. Let y(a) = 2*k(a) - 10*p(a). What is the third derivative of y(s) wrt s?\nAnswer: 1848","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/39*(-15)\/(-50)*-12\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 302301 (base 4) to base 15\nAnswer: e69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 9*t**3 - 31*t**2 + 45*t - 345. Is d(32) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 - 11*z**2 - 3*z**2 - 8*z**2.\nAnswer: -20*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-3 - -3 - -1) - 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -8*i + 71. Let t be h(10). Is -8 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -2\/5, 0.4, -7\/9, -35908?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -151 + 151 + c. Let x(o) = -5*o - 3. Let u(g) = 4*g + 2. Let p(v) = -3*u(v) - 2*x(v). Determine p(r(l)).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/5 - (-2)\/5. Let g = 3 - j. Suppose 105 - 9 = 12*c. Calculate the smallest common multiple of c and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/4)*q*q**(-4))\/((q**(-2\/7)*q)\/q)**16*((q*q*(q\/(q**(-6\/11)\/q))\/q*q)\/(q\/(q*q**(-1\/16))*q))**(-45) assuming q is positive.\nAnswer: q**(-192083\/1232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/782400 and 149\/2347200.\nAnswer: 2347200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/2)\/m)**4 assuming m is positive.\nAnswer: m**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 10*x**2 + 8*x + 19. Suppose -69 = 68*w - 34*w - 443. Calculate m(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 12:10 PM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 7:17 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.9244 + 0.0756. Let h = 4 + -4. Let m = 0.65 - 0.15. Which is the nearest to p? (a) 7\/3 (b) h (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48894319?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*h**2 - 141106*h**3 + 85*h**2 + 24327*h**3.\nAnswer: -116779*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5 - 4*f**2 + 0 + 3*f**2 + 7*f. Let m be o(5). Suppose -m*u + 45 + 10 = 0. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 7:19 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -42. Let n = x + -20. What are the prime factors of (-3)\/(n + 10)*-50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**2 + 0*n**2 + 13*n**2 + 14*n**2.\nAnswer: 33*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-162)\/(-15) - -2)*15. Suppose -3*k - i = -3*l, 5*k - 2*k = 15. Let u = 9 + l. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -15 + 17*o**2 - 4*o - 20*o**2 + 4*o. Let t(m) = -m + 1. Let z(v) = -g(v) - 9*t(v). What is r in z(r) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, -0.2, 1, -186802413, 0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 148475.187us in days?\nAnswer: 0.0000017184628125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 2 - -3) + 70\/50?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, l: 9}. Give prob of picking 4 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288 is divided by 28.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 149241856.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -74. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - (10\/(-1))\/2)*51336\/4968. Solve 0 = q*n + 32*n + 282 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b**3 - 7*b**2 + 7*b + 3. What is i(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 204, 570, 1218, 2226, 3672, 5634?\nAnswer: 8190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 118016342 to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78516501 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53986 + 31616. Is (a\/10)\/((-2)\/(1 + 1)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 84.46439 millennia?\nAnswer: 1013572.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 25*f - 21*f - 156, -125 = -3*x + f. Suppose 4*n - 337 = -x. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + l**3 + 1 + (1 - 1 + 4*l**2)*(-3*l + 5*l - l) - 10 + 22 - 3*l - 10 + 2*l**3 in the form m*l + r + t*l**3 + v*l**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/2646*7*(1 - 2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2524 and 10096?\nAnswer: 10096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14, -24, -48, -92, -162, -264, -404, -588?\n\"Answer: -v**3 - v**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d + -2?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 14*n**2 - 13*n + 3. Let x be (-162)\/(-6) + (2 - 5). Let c = x + -11. Let r be b(c). Solve r*u + u = 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126912 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4014108 by -2142.\nAnswer: 1874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 5*o. Let w(p) = -2*p. Let d(y) = 3*h(y) + 8*w(y). Let n be d(-3). Suppose n = k - 7. Solve k = 3*q - q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**5\/5 + 56*x**4\/5 - 232*x**3\/5 + 16*x**2 + 220*x - 200 = 0 for x.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.57081 - 4.4746691.\nAnswer: -5.0454791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 2:19 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/7 (b) 1\/3 (c) 26 (d) -5\/254 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2455963 and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 1)\/(2 + -1). Suppose f*h - 5*i - 50 = -2*h, -25 = -h + 4*i. Suppose -4*z = z - h. Solve -z*x = -2*n + 6, -5 = -3*n - 4*x + 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (1 + 65 - (57 - 37 - (-4 - -14)))\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (5 - (4 - -5)) - -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 16 = -35. Let r = t + 26. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 11:31 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -198?\nAnswer: -198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**5\/19 + 426*l**4\/19 + 3716*l**3\/19 + 8976*l**2\/19 - 64*l\/19 - 13056\/19 = 0.\nAnswer: -204, -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-14)*(-14)\/18*-9. Let y(v) = 4*v**2 - 4*v + 4. Let f(g) = 2*g**2 - 2*g + 2*g**2 - 3*g + 5. Determine l*f(m) - 5*y(m).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -9*f**2 + 2*f + 1. Let c be w(-1). List the prime factors of c\/6 - (-745)\/15.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/6144*32*516.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 0*f - 5\/3*f**3 + 1\/2*f**4 + 8*f**2 + 0 - 1\/60*f**5. Let w be h(8). Calculate the highest common factor of w and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19021*b**3*h**2*r + 16*b**3*h*r**3 - 723*b**2*h**2*r**2 - 2*b**2*r - 4*b**2 - 2*b*h**2 - 4*h**2*r**3 wrt b?\nAnswer: -114126*h**2*r + 96*h*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 + 60*a - 512. Calculate o(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41 - 9) + 24 + 9.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-15) - (-2)\/(-5). Let z = 340\/21 - 49\/3. What is the biggest value in -0.3, z, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*j**5\/9 + 926*j**4\/3 - 4880*j**3\/9 + 698*j**2\/3 = 0. What is j?\nAnswer: -349, 0, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/102*(1218\/70*(-15)\/3)\/(-2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -87 - -90. Let s be (1\/(-3))\/(a\/(-9)). Calculate the smallest common multiple of (-2*s\/(-6))\/((-33)\/(-1188)) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 2289978.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(2\/53)*z)\/z)\/z**5)**30 assuming z is positive.\nAnswer: z**(-7890\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oghow. What is prob of picking 1 h and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fsjufufufjj. What is prob of picking 3 f and 1 j?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2\/5)*s\/s**(-6))\/(s*s**(-8)*s**(-5)) assuming s is positive.\nAnswer: s**(98\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3666 - 1499. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 12 + 3 + -1 - (8 + -15).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 324 = -4*n, 3*n + 2*p = 305 - 63. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 379815.\nAnswer: 3, 5, 25321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-6)\/(-40))*(-18)\/(-792)*-11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*d**3 + 17*d**3 + 21*d**3.\nAnswer: 21*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117884067 divided by -127.\nAnswer: -928221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4019\/(-12057)*23*3.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 27 = 2*i. Suppose 42 + 111 = i*u. What are the prime factors of u?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-14)\/6)\/(5880\/1962 - 3).\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 31*n**2. Let b(m) = 1254*m**2 + 2*m + 5. Give b(l(a)).\nAnswer: 1205094*a**4 + 62*a**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2557.787 litres to millilitres.\nAnswer: 2557787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -72.4 + 66. Let o = -5 - f. Let l = -1.39955 + o. Round l to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + y - 9, -4*i = y + 1261 - 1274 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20253554 - 3203?\nAnswer: 20250351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007145681 to seven decimal places.\nAnswer: 0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*a = 40*a - 490. Is a a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aattaattattataaatat. What is prob of sequence ttta?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**4 - 27256*t**3 + 244980*t**2.\nAnswer: 4*t**2*(t - 6805)*(t - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 0.253.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**3 + 1039*c**2 + 385*c + 13504. Determine i(-346).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -t + 2*t. Calculate the common denominator of -2*t\/((-90)\/(-39)) and -48\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 36462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -254 + 264 - (-2 - (-5 - -25))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*((i\/(i\/(i*i**(-3\/2)))*i)\/i)\/i)\/i**(1\/9)*i**(4\/3)\/i**1)\/((i\/(i*i**2))**(-2\/35)*(i**(-2\/5)\/i)**(2\/7)) assuming i is positive.\nAnswer: i**(1\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g - 15, 6 = -3*h - 2*g - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 6*r - 20. Let x = -75\/2 + 36. Which is the third smallest value? (a) r (b) x (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 - 102*i. Let b(m) = 12*m - 4. Determine b(s(o)).\nAnswer: 24*o**2 - 1224*o - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 528 + -483. Calculate the greatest common divisor of y and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.36 + 0.06. Let t = -5.3 - x. Put 3, t, -3 in increasing order.\nAnswer: t, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11064 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-17))**(17\/5) assuming h is positive.\nAnswer: h**(-289\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 13*i + 24. Let n be p(-2). What is the hundreds digit of (-3 - 1289)*1\/n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50407 and 402173.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 - -47. Suppose i*c - 9 = 6*c. Suppose 0*h + 48 = 3*h + c*y, -48 = -5*h + 3*y. What is the highest common factor of h and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21766.297 - -21778. Let j = w + -11.09. What is j rounded to two decimal places?\nAnswer: 0.61","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - z - 141, -8*d - z = -4*d - 111. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, n: 5}. What is prob of sequence nana?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13*((-6)\/(-9))\/((-6)\/(-99)). What is the highest common factor of b and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**5\/30 - 7*x**4\/12 - 4*x**3\/3 - 6*x. Let w(f) be the second derivative of n(f). Differentiate w(s) wrt s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*j - 1 - j**5 + 1 - 4*j wrt j.\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 77043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n - 22. Let x be v(-7). Let f(k) = -k**3 + 8*k**2 - 11*k - 11. Let y be f(x). Sort y, -2, -2\/7, 1 in descending order.\nAnswer: 1, -2\/7, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 384 = 16. Let l be ((-3)\/3)\/(-1) - d. Let h = l - -48. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 4*b - b. Let t be -3*(43\/b - -3). Put 4, t, -4 in descending order.\nAnswer: 4, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 202568321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 617642.2 days to hours.\nAnswer: 14823412.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23702, -23712, -23724, -23738?\nAnswer: -23754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-45.33.\nAnswer: 271.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1161464160 to the nearest one hundred thousand.\nAnswer: 1161500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18238 - -18237. Which is greater: -96\/403 or d?\nAnswer: -96\/403","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/1542 and -45\/514.\nAnswer: 1542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 5:39 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/445480 and 27\/3220.\nAnswer: 10246040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 278 (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (7 - -6 - ((5 - -1) + 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4)*34\/153.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (30\/5)\/(((-18)\/(-2))\/(-9))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 90853397 to the power of 1\/2, to the nearest integer?\nAnswer: 9532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-2)*2\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10236, 20473, 30710, 40947?\n\"Answer: 10237*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3269130 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4*n**2 + 16*n - 20. Let j(b) = -b**2 + b - 1. Let t(s) = 3*j(s) - u(s). What is t(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63591 + 169851559\/2671. Is 0.02 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, 0, 601, 3, -2, -11, 1 in descending order.\nAnswer: 601, 3, 1, 0, -2, -11, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -3*j**6\/10 + j**2\/2 - 11*j. Find the first derivative of z(g) wrt g.\nAnswer: -36*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -819 + 2?\nAnswer: -817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*m + 352, 0 = 5*m - 5*u - 297 - 143. Suppose 29*g = 30*g - m. Calculate the remainder when g is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000292672 to 7 dps.\nAnswer: -0.0000293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mwmmmwmwmwwmmm. Give prob of picking 3 m.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.4 + -1.2. Let l = 0.2000013 - u. Round l to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 257*y - 288. Let o be v(-5). What is o rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 745396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 9 = -7*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, k: 7}. What is prob of picking 3 q?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 667511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uurz when four letters picked without replacement from {r: 1, y: 2, i: 6, z: 4, u: 2}.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 624 and 429.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {o: 2, x: 8, n: 5}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*l**4*u**2 + 116*l**4*u + 2159*l**2*u + 2*l*u**2 - l*u + 5*u**2 wrt l?\nAnswer: -240*l*u**2 + 2784*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 927130?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 2719\/5 - 4 - (-2)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3283302.\nAnswer: 2, 3, 11, 49747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34 - 209*w - 4545 + 502*w - 157*w - 226*w with respect to w.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-17)\/(-7) - (-8)\/14. Suppose s*y - 1 = -2*v - 6, -3*v - 10 = 5*y. Suppose -3*c = -v*a + 31, -4*a + 8*c = 4*c - 20. Solve -a = 3*u - u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -77*u - 6. Let k(q) = -6*q + 1. Determine -2*k(y) - s(y).\nAnswer: 89*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (0 - 2 - -2). Let r = h - -2. Solve -2*o - r*o - 4 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*p**2 - 184*p**2 - 498*p**2 + 71*p**2.\nAnswer: -517*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/5 - 46951\/(-145).\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 + 49. Solve 6*i - q*i + 3 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (51\/170 + 2\/10)*-12. Let y(z) = z**3 + 5*z**2 - 4*z + 5. Calculate y(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 154201 (b) -9 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 5:52 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*l - 13 - 7 = 0, 4*l = 3*n - 18. Let u(i) = -n*i**3 + i**3 + 7*i**2 - 5 + 0*i**2 + i - 3*i**2. Suppose 2*g - 32 = -24. Give u(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22)\/(-10) + -2 + 182\/65. Solve -c*t + 2*t = 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9927430, -39709706, -89346832, -158838808?\n\"Answer: -9927425*c**2 - c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7605 and 3510?\nAnswer: 45630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 666554.6ml in litres?\nAnswer: 666.5546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, h: 2, a: 4, d: 3, y: 3}. What is prob of sequence dyz?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q - 3 + 0*q**2 + q**2 + q + 0*q**2. Suppose -1 = i - 0*i. Let j = -5 - i. Calculate c(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 446*r + 224*r - 25878 = 125*r + 9002 for r.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + -3)\/(-1*2*(-35 - (-25092)\/720)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qa when two letters picked without replacement from aqq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 79*q**2 + 158*q - 340. Give t(-81).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.4, -0.3, -17, 2 in decreasing order.\nAnswer: 2, 1.4, -0.3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-8)\/k**(-11))**(1\/11) assuming k is positive.\nAnswer: k**(3\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 1313?\nAnswer: 1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18\/(-8))\/((-2)\/8). Let h be 3\/(d\/6) + 2. Solve h*w - 6*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -1. Let h(k) = -2*k + 21. Let g(c) = h(c) + 3*n(c). Let a(l) = -2*l. Determine a(g(y)).\nAnswer: 4*y - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(208) - (0 + sqrt(208))) + 1 + -5)**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 f, and 1 a when four letters picked without replacement from qqfqqqffffffiqakqiki.\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1199685?\nAnswer: 3, 5, 79979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*p**4 - 15 + 26 - 12 + p - 3*p**2 - p**3 + 0 to the form l + o*p + z*p**2 + n*p**3 + r*p**4 and give r.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/3 + 2108*v\/3 + 2110\/3.\nAnswer: -2*(v - 1055)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -2\/17, 191, 0.4, 2\/21, 24\/11?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5*z - 222. Let j(f) = f + 102. Determine -2*g(p) - 5*j(p).\nAnswer: 5*p - 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4693936237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bkbk when four letters picked without replacement from wybybykbyyyyykbykbky?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 480 + 486 - 1928 + 483 + 479 - 2*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1, 6, 17, 34, 57?\n\"Answer: 3*c**2 - 4*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*u**4 - 3*u**4 - u**4 + (-4*u**3 + 2*u**3 + 3*u**3)*(127*u - 125*u + 19 - 52).\nAnswer: 5*u**4 - 33*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.9 - 29.3. Round y to zero decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 224340 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*o - o = -4, 0 = -2*j - 4*o - 48. Let n = -250 + 258. Is ((-10)\/n - -1) + (-292)\/j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qk when two letters picked without replacement from vkbqqbbvvbkqkv?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.230159 + 0.4958?\nAnswer: -3.734359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a**3 - 17*a - 19*a + 36*a.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -57*y**7\/7 + y**6\/2 - 2*y**5\/5 - 14*y**3\/3 - 32*y**2 + 2*y - 2266. What is the third derivative of r(q) wrt q?\nAnswer: -6840*q**3 + 180*q**2 - 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1690852*d**3 - 5072568*d**2 + 3381740*d - 24 = 0. What is d?\nAnswer: 3\/422713, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = -8*u + m, 4*m - 8576 + 8631 = 7*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 18221856084 + 15351\nAnswer: 18221871435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 24*a + 139. Let k be u(15). Calculate the greatest common factor of 1 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s + 15. Let z be i(9). Let d be z + 9 + -4 + 1. Solve -2*b - d = -7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*n**3 + 7*n**3 + 35*n**3 - 99*n**3.\nAnswer: -155*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 7*r + 13. Let q(n) = -3*n - 6. Let b(h) = -9*q(h) - 4*w(h). Suppose 2*o - 141 = 5*o. Let f = -44 - o. Determine b(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6237, 49650, 167561, 397218, 775869?\n\"Answer: 6208*w**3 + w**2 - 46*w + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7362846, -14725697, -22088548?\nAnswer: -29451399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3*n**3 - 3)*(4 - 3 + 9)*(-1 - 3 + 2).\nAnswer: 60*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*c = 24, 0 = -0*c - 5*c. Suppose -m*r + 27*r = 279. Suppose j = 2*j - r. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2064 - -5350. Does 28 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22830822 by -543591.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**6\/720 + u**4\/4 + 2*u. Let d(s) be the third derivative of q(s). What is the units digit of d(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -31?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(15)*1*5 - (-1*sqrt(90))\/sqrt(6)))\/(1*(sqrt(500) + (-5*-4*sqrt(500) + sqrt(500) - sqrt(500) - sqrt(500)))).\nAnswer: 3*sqrt(3)\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 947 + -8518\/9. Let l(t) be the second derivative of 0 + 1\/9*t**6 - 1\/3*t**5 + u*t**4 - 1\/63*t**7 - 5\/9*t**3 + 1\/3*t**2 + 3*t. Factor l(w).\nAnswer: -2*(w - 1)**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f - 154 - 13 - 25 = 0 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 - 253 = -2*m. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cnlrnnnnnccqlljlcqj. Give prob of picking 1 l, 1 q, 1 r, and 1 n.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -s**6\/15 + 3*s**5\/10 + s**4\/3 - 4*s**3 + 8*s**2 + 3*s + 4. Find p, given that d(p) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 678.278 kilograms?\nAnswer: 678278000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 2*u + 15. Suppose 0 = -1361*y + 1364*y - 6. What is the first derivative of 16*j**2 + 2 + 4*j**2 + u*j**y - 5*j**2 wrt j?\nAnswer: 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4058840 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 161207890 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1390435406?\nAnswer: 2, 17, 641, 63799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m + 19*m - 53*m**3 - 2 + 1 + 3.\nAnswer: -53*m**3 + 9*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 4*r + 3. Let b be p(1). Suppose b = 5*s + 94 + 246. Let o = 72 + s. Solve -15 = o*f - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/15)*w*w**9*((w\/((w*(w\/(w\/w**(-2))*w)\/w)\/w)*w)\/w)**(-37) assuming w is positive.\nAnswer: w**(-1517\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/1*-3)\/(16\/144*-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gw when two letters picked without replacement from gwmmmxq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = -1 + 19. Sort 253, s, -3.\nAnswer: -3, s, 253","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 4*z + 49. Let v be ((-57)\/z)\/((-63)\/14 - -6). Solve l = -21 + v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(6\/5)*k**5)\/(k**(3\/8)\/(k\/(k\/k**(-2))*k)) assuming k is positive.\nAnswer: k**(193\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2666\/465)\/(-43)*6\/16.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -63657*l**2 + 63657*l**2 - 77*l**3 + (9*l + 6*l - 32*l)*(4*l - 4*l - l**2) - l**3 + 2*l**3 + 0*l**3.\nAnswer: -59*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193466 is divided by 760.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + h = 350 + 1365. Let j = 216 + -118. Calculate the greatest common factor of j and h.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4 + 108\/8 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -34*w**6\/15 + 13*w**5\/12 + 108*w**2. What is the third derivative of h(r) wrt r?\nAnswer: -1632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-1) - (-26)\/(-2). Let x be q\/(-6) - 4\/(-12). Solve 0*w = -4*y + 3*w + 26, -2*w = x*y - 11 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 n when two letters picked without replacement from {n: 15, s: 5}?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 8*p**2 + p - 4. Let w be m(-3). What is the tens digit of 0 + (w + -2)\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(0 + 1 + 0)*(-222 + 222 - 21*y).\nAnswer: 21*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 12 - 3 = 0. Suppose -5*x = 2*h - 65, -5*h + 56 = y*x - 9. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11564*y - 15451*y + 29441*y + 16817*y.\nAnswer: 42371*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 12*a - 434 = 0. Suppose 238 - 1323 = -a*l. What is the greatest common divisor of l and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/((-75)\/672) - (-2)\/10. What is the third derivative of -12*w**2 + 67*w**5 - 66*w**5 + l*w**2 wrt w?\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1762136?\nAnswer: 2, 19, 11593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41 - -39) + (-8 - ((0 - 3) + 2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 15*a + 3. Let x = 94 - 64. Suppose 2*g + 0 = 5*o - x, 3*g = 3*o - 36. What are the prime factors of s(g)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*w + 3, w = 6*t - t - 1. Suppose t = 2*m - 865 + 69. Suppose -3*u = -u - m. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.13560056 take away -2?\nAnswer: -9.13560056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2292)\/(-4) - 2\/(-2). Suppose q - 4*m = i, -q + 541 + 53 = m. What is q rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 6, -0.2, -2\/9, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 2*w**2 - 2*w - 3. Let m = -3179 - -3182. Calculate p(m).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 891 divided by 1.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1301346479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4*(-25)\/20)\/(-1). Suppose 236 = 4*p + 76. Calculate the greatest common divisor of y and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.2 + 4. Which is the closest to -2? (a) -0.1 (b) -2\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -70191 from 0.875.\nAnswer: 70191.875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 6, 2\/13, -4\/639137?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118825076 is divided by 19804179.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79255?\nAnswer: 5, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and 28071?\nAnswer: 28076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -8, 6*q = 2*q + 5*g + 234. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(2299) - sqrt(2299)*-4)*-2)**2*-1.\nAnswer: -229900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-9))\/((-40)\/(-30)). Let p = -29\/161 + 14\/23. What is the closest to g in -1, -0.2, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(2\/73)*c*c\/(c*(c\/(c**44\/c))\/c)*c**0*(c\/(c*c**(6\/31)))\/c)**(-8\/7) assuming c is positive.\nAnswer: c**(-792576\/15841)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p - 9*p - 4*p**2 + 2*p**2 - 8*p**2.\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5740\/164*2496\/(-1680)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2905 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5127 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) -0.2 (c) -2\/3 (d) -62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/5)\/(48\/(-240))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21.83585mm?\nAnswer: 21835.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 404049672 and 7.\nAnswer: 404049679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*n - 62*n = -174 - 217 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r. Let l(x) be the first derivative of x**3\/3 - 4*x**2 + 4*x - 1. Let a be l(8). Let z(w) = -a*w + 4*w + w. Determine z(j(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**5\/11 + 6620*w**4\/11 - 26506*w**3\/11 + 19884*w**2\/11 = 0.\nAnswer: -3314, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.22604 rounded to zero dps?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 6, 12 = b + 2*b - 4*x. Suppose b = 4*j - 349 + 61. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*z - 135, 0*n = 2*n + 2. What are the prime factors of z?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 7*m**2 + 9*m - 29. What is the tens digit of i(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 10:53 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + 4*k - 22, -3*z + 4*k - 6 = -0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3923644 months in years?\nAnswer: 0.1993637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**7)**(-3\/14))**(-7\/6) assuming l is positive.\nAnswer: l**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ia when two letters picked without replacement from {i: 2, g: 1, n: 3, d: 3, c: 3, a: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1355 (base 7) to base 6\nAnswer: 2242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 1\/10*z**5 - 118*z - 3*z**3 + 9\/2*z**2 + 0 + 1\/10*z**6 - 7\/3*z**4. Determine m, given that h(m) = 0.\nAnswer: -3, -1, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/6 (b) -1 (c) 0.01 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/3))**(4\/11) assuming m is positive.\nAnswer: m**(-4\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 4*g = 20, 180*g - 181*g - 5 = 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*k - 2 = 159*k. Let o(a) = -a**3 + 12*a**2 - a + 14. Let b be o(12). Let l(i) = i**2 - 4*i - b - 4*i**2 + i. Give l(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153)*-1*-4 - (sqrt(153) + sqrt(153) + (sqrt(153)*2 - sqrt(153)))*3)*-6)\/((2*1*sqrt(9) - (1*sqrt(225) + sqrt(9)))*5) + 4.\nAnswer: -3*sqrt(17)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -5*w - 18, 0*w - w = -4*h + 12. Let z be (-1)\/(w + 38\/10). Let l = -65 + 60. Sort -1, l, z.\nAnswer: l, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.44 + -12.36. Let o = -14.2 - i. Which is the nearest to 1\/4? (a) o (b) -1.3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 373 a factor of 6696469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 124530 and 1950.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 67 - 23. Let k(q) = -q. Let b be k(-2). What is the greatest common divisor of b and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + d - 5*h - 2 = 0, d = 4*h + 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**(-1\/10)*v)*v)\/v)\/(v*v**(2\/7)*v))\/(v**(3\/5))**(15\/11) assuming v is positive.\nAnswer: v**(-2313\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/9)\/((v*v**(-2\/23)*v)\/v)*(v*v**2)**(-13))**42 assuming v is positive.\nAnswer: v**(-115990\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -927*z - 622. Does 155 divide a(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*n + 263 + 80, 2*n - 4*x - 174 = 0. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27054 and 432?\nAnswer: 216432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -149.0365 - -149. Round x to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + o**2 - o - 1. Let x(i) = -4*i**3 + 2*i**2 - 2. Give -x(p) + 2*z(p).\nAnswer: 6*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-14\/5)*h*h**9*h*h**(4\/5)\/h**(-18\/7))**(2\/19) assuming h is positive.\nAnswer: h**(1272\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*i**3 - 8 + 10 - 14*i**3 in the form m + k*i**3 + j*i**2 + f*i and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6367*o**2 + 4008788*o - 4008788*o.\nAnswer: 6367*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*t + 26*t - 3680 = 60*t for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 317451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52 + 4. Let q = 48.064 + r. What is q rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -334732, -668341, -1001950, -1335559?\n\"Answer: -333609*f - 1123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (14\/(-4))\/((-3)\/6). Let p(j) = 1466 + 1526 - 2998 - 3*j + j**2. Calculate p(r).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k. Let c(h) = -2*h**3 + 13*h**2 + 8*h. Let q(d) = c(d) - 4*l(d). Let z be q(6). What is the highest common divisor of z and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9642932.\nAnswer: 2, 13, 185441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60.25 - -72.8. Round q to 0 decimal places.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/(-10)*((-39)\/(-9) - 3). Suppose 3*l = b - 3*b + 34, f*l - 18 = b. Solve l = 5*q - 0*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m, x + 4*m - 11 = 2*x. List the prime factors of (-80)\/(-44) + (-2)\/x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14346498 is divided by 108?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 640 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from immmiimimmmmmm. Give prob of sequence iimm.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 370969 and 963.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -14089764.\nAnswer: -14089758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - t**2 - 4*t + 3. Let o be w(2). Is (4 + -132 - 3)*o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + u - 1. Let k(a) be the first derivative of -a**2\/2 + 2*a + 4. Let p(h) = -5*k(h) - 5*t(h). Differentiate p(j) wrt j.\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 512736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence heer when four letters picked without replacement from {h: 3, e: 5, r: 3}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 375 = 2*b + 384, -29 = -3*b - 4*p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 580, 2229, 4978, 8827, 13776?\nAnswer: 19825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*z = -134, 5*l - 6*z + 11*z - 165 = 0. Let v be ((-8700)\/l)\/(14\/(-539)). Round v to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - 81.1756113.\nAnswer: -104.1756113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 2*w + 12, -w + 3 = 4*i + 15. Find the first derivative of 4*j**3 - 1 + w + 0*j**3 + 3 wrt j.\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 9:48 PM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/14)*c*c*((c\/(c**(2\/23)*c*c))\/c)\/c*c)**(-50) assuming c is positive.\nAnswer: c**(1275\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7342456 divided by 4?\nAnswer: 1835614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -57976169, -115952342, -173928515, -231904688?\n\"Answer: -57976173*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 240 divided by 4\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0.019 (c) 0.52375\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.05 - -0.25. Let p = -34.17 + 31.113. Let n = p + 0.057. What is the closest to 0.9 in 3, n, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(9*(15\/(-5) + 4))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9264*h + 4 + 1 - 128*h**3 - 9264*h.\nAnswer: -128*h**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(341\/2232)*63\/72?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*a - 268850 - 529960. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 divided by -145.\nAnswer: 83\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*-210.\nAnswer: 4620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**4 + 23558*l**2 + 44975*l wrt l?\nAnswer: -24*l**2 + 47116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-10) + (-88)\/(-55). Suppose -y - y = -5*k + 29, k + 3*y + 1 = 0. Suppose 6 = -i*c + k*c. Calculate the lowest common multiple of c and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2. Let a(g) = 4*g**2 - 5*g. Let k(n) = 3*n**2 - 4*n. Let x(m) = -4*a(m) + 5*k(m). Give x(j(u)).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 3*o - 2. Let l(t) = -t**2 + t. Let x be l(1). Let p be ((3 - x)*2)\/((-2)\/(-3)). Suppose -p*b = -8*b - 3. What is d(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*n - 3 = 0. Suppose y = 2*y - z + 8, -4 = -2*y - n*z. Let m = y - -7. What is the third biggest value in 0.2, 1\/3, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2\/3, 843\/695 in descending order.\nAnswer: 843\/695, 0.2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*s**3 - 73*s**3 + 51*s**3 - 66*s**3.\nAnswer: -150*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 27 (b) -0.1 (c) -5 (d) -0.3 (e) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000718 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1486 + 1489. What is the closest to -0.3 in -3\/2, -1.8, v?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/4 in 4, 3, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.132 - 65303.\nAnswer: -65297.868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32 - 34 + 161*y + 66 to b*y + v and give b.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/((-6)\/(-15)) - 4)*773 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -20656*d**3 - 2*d**2 + 1. Let j be p(1). Let b be ((-2)\/2 - -3) + j\/(-21). Let z = -1005 + b. Find the common denominator of 41\/6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) -1\/2 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 4*j**3 + j**4 - 4*j**2 + 4*j**3)*(-36 + 259 + 202).\nAnswer: 425*j**4 - 1700*j**2 + 850*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*i - 4*o = -50, 0 = 4*o - 20. Let s = 26 + -13. Let m = i + s. Solve -4*h = 12, -m*k + 2 - 5 = -4*h for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 371, -2, 3, -5.\nAnswer: -5, -2, 3, 371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (495\/(-75) + (-10)\/100)\/((-160)\/400)\nAnswer: 67\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -785 - -780. Let i = 0.5 + -0.2. What is the nearest to t in i, 2\/11, 0.5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 1172a?\nAnswer: -11733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-1.74162.\nAnswer: 0.696648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 219118494 to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/1909 < -0.18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**2 - 3787578*k - 1195478925507 = 0. Calculate k.\nAnswer: -631263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44956 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, r: 1, y: 2, p: 4}. Give prob of picking 1 h and 1 r.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22967201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jbbojbukukob. Give prob of sequence uobu.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 165304?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8188 + 6875. Which is smaller: 0.1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -31*g**2. Let k(n) = 17*n. What is k(x(p))?\nAnswer: -527*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 11:18 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*i + 18. Let h be (-2 - i) + 692\/(4\/2). Let c = h + -207. Does 28 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**2 - 3*f**2 - f**2 + 6*f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.089216892 to four decimal places.\nAnswer: 0.0892","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47.8 - -79. Let z = 31 - w. Let f = -1.2 - 0.8. Which is the second biggest value? (a) -12 (b) -0.3 (c) z (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -1.1. Let g = x + 1.02. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -49*m**3 - 7*m**2 + 6*m - 7. Let k(w) = 52*w**3 + 6*w**2 - 5*w + 6. Give -6*f(p) - 7*k(p).\nAnswer: -70*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -30, -51, -90, -153, -246, -375, -546, -765?\n\"Answer: -n**3 - 3*n**2 - 5*n - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.9 - 2.9. What is the third biggest value in o, 0.1, 4, 7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -8*k + 189. Let a be p(23). Let o(u) be the third derivative of u**6\/120 - u**5\/15 + u**4\/24 - u**3\/2 + u**2. What are the prime factors of o(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -388*f**3 + 804*f**3 - 2*f + 2 - 389*f**3 - f**2. Determine h(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1882\/163 or 0.0202?\nAnswer: 0.0202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 910 is divided by 399?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t**2. Let o(d) be the third derivative of 0*d + 1\/12*d**4 + 0 + 0*d**3 + 2*d**2. Give z(o(v)).\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113344 (base 8) to base 7.\nAnswer: 220422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024 a factor of 326656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/24618 and 31\/73854?\nAnswer: 73854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sxssxsxrbssxsxsxm. What is prob of sequence bmrx?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 24200 - 9?\nAnswer: 241c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 169 - 164. Suppose 138 = b*u + 3*j, 26*j - 134 = -5*u + 22*j. Solve 8*q + u = 2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**4 + 35*v**3\/2 + 5185*v**2\/2 + 15095*v + 3612 = 0. What is v?\nAnswer: -28, -6, -1\/4, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2\/11, 2, -25, 0.5, 104, 14?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -1. Let x(l) = -l**2 - 3*l + 7. Let s(n) = 6*a(n) + x(n). Let v be s(-3). Solve y = -3*j - v - 5, 2*y = j - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by -15\nAnswer: 31\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -162*a + 178. Calculate j(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 4*c**2 + 5*c - 6. Let h be n(-5). Let o be h\/(-1) + 0\/(-2). Let d be (-3)\/o - (-134)\/4. What is the highest common factor of 11 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-91)\/7 + (6 - -8) + 1 + 132\/(-69)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4431 - 4426. What is the nearest to 6 in -0.03, -4, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4999980 = 4*w, -c - w - 3*w = -999980. Round c to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/3)\/((-1)\/15). Let h(l) be the first derivative of -2*l**3\/3 + l**2 + 3*l + 1. Let p(r) = -2*r**2 + 3*r + 4. What is k*h(w) + 4*p(w)?\nAnswer: 2*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -318 or -319?\nAnswer: -318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(3\/13)*n\/(n*n\/n**(-2\/5)) assuming n is positive.\nAnswer: n**(-76\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2715*r**3 - 1032*r.\nAnswer: -16290*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nhn when three letters picked without replacement from {h: 5, n: 3}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 150*j - 2. Let f be x(12). What is the highest common factor of 90 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 h when two letters picked without replacement from chhcchhchhchghc.\nAnswer: 16\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 4*q - q)*(-1 - 2*q + 1) - 105 - 91*q**2 + 105 + (0*q + q + q)*(q - 4*q + 2*q) + 9 - 9 - 23*q**2.\nAnswer: -112*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 100396605 + -100396592.0000002. Let j = 13 - n. What is j rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**3 + 7*c**2 - 3*c + 10. Let l be a(4). Which is smaller: -19 or l?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.64? (a) 5 (b) 2\/11 (c) 1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 419\/1058?\nAnswer: 419\/1058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 6*t = -5*t - 82, -55 = -g - 4*t. What is the remainder when g is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101010001110110110 (base 2) in base 6?\nAnswer: 32321422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwuuuuuw. Give prob of sequence wwu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**3 - 22*o**2 - 7*o - 24. Calculate h(11).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 46. Let s = 29 + p. Let u(k) = 26*k + 4. Is u(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70458, 140797, 211134, 281469, 351802, 422133, 492462?\nAnswer: 562789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 90\/8 - 2\/8. Let z = x + -12. Suppose z*f - 7 = 165. Calculate the remainder when f is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -j + 19, -j - 17*r = -20*r + 16 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.531315 milliseconds to microseconds.\nAnswer: 4531.315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v + 9. Let t be u(-4). Let y(s) = 3*s**3 + 2*s**2 - 7*s - 7. Let w(m) = m**3 + m**2 - 3*m - 3. Give t*y(z) + 7*w(z).\nAnswer: -2*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14199043 or -14199048?\nAnswer: -14199048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 2, 4, -8\/463, -4\/9, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7024 = 9*t + 7*t. What are the prime factors of t?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -6*b - 2. Let y be 13\/2 - (-2)\/(-8 + 12). Let u(v) = y*v + 10 - 5 + 6*v. Determine -5*f(r) - 2*u(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 1\/2*t**2 - 3\/4*t**4 - t + 7 - 1\/3*t**3. Suppose -k + 3 = 2. Calculate y(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*65\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 196\/13 - 192\/13. Calculate the common denominator of r and -79\/10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13, -1, -29, -77, -151, -257, -401, -589?\n\"Answer: -a**3 - a**2 - 4*a + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**10)**24 assuming x is positive.\nAnswer: x**264","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -240 + 242. What is the second biggest value in 19, l, -0.2, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -30. Let k(x) = x**2 - 3*x - 6. Let n be k(r). Solve 2*u + 2 = n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3754 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 421 - -5054. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7, -10, -7, 8, 41, 98, 185, 308?\n\"Answer: q**3 - 3*q**2 - q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10140037169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 121823?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1661751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2091139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 g when two letters picked without replacement from {e: 2, s: 3, d: 5, g: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73 - 52. Calculate the greatest common factor of i and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-18))\/((-4)\/(-18))*-6614. What are the prime factors of (-15)\/40 - j\/8?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 119253 and 329946?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h**4*v + 2*h*u**2 + h*u*v - h*v**2 - 8*u**2*v**2 - u**2*v - 3*u*v wrt h?\nAnswer: 8*h**3*v + 2*u**2 + u*v - v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 72*u + 20. Let w(y) = -24*y - 6. Determine -6*k(d) - 20*w(d).\nAnswer: 48*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d**2. Let f = 9975 + -5688. Let k(y) = 5*y**2 + 48*y + 33. Let p be k(-9). Let m(r) = -4287*r + p*r**2 + f*r. Calculate a(m(s)).\nAnswer: -144*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 98 + 910. What is the highest common divisor of 63 and i?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 3. Let g be r(3). Calculate the common denominator of (-94)\/(-24) + 1\/4 and ((-20)\/(-210))\/(g\/7).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2501*a + 13176 - 390993 + 60190 = 0 for a.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1522 = -3*j - 2*l - 1489, 2*j + 10*l = 36*l - 224 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -150 - -155. Solve -5*x - 3*v = 12, -4*x + x - h*v - 4 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2021937823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12955743, -12955746, -12955749, -12955752, -12955755?\nAnswer: -12955758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 748231228?\nAnswer: 2, 71, 97, 157, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 10 - (-12 - -17)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -9*h**3 - 5*h**2 - 21*h. Let j = -5 - -11. Let b(g) = 5*g**3 + 3*g**2 + 11*g. Let s(r) = j*z(r) + 11*b(r). Determine s(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 7 + 0*h - 2\/27*h**3 + 2\/9*h**2 - 1\/18*h**4. Factor q(o).\nAnswer: -2*o*(o - 1)*(o + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 6 = -0. Let f(k) = 6 + k - u. Let x(n) = 2*n + 1. What is 3*f(j) - 2*x(j)?\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -36163250 (base 7) in base 5?\nAnswer: -1310141043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -12*m + 72. Let c(i) = -i + 5. Let l(f) = 15*c(f) - 3*o(f). Let y be l(7). Solve -y = -5*v + 3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -422, -849, -1278, -1709, -2142?\nAnswer: -2577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90*660\/3564)\/((-2)\/15))\/(-3 + 4).\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*p - 362. Let f = p - 84. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3*33\/(-154))\/(1\/(-6))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 6 = -5. Let v be (3 - y)*(11 - 9). Solve -3*m - 3*u + 9 = 0, -m + 5*u + 1 = v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25 and 0.21.\nAnswer: 5.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from okoeekkkkkssjeseeees.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4\/29, 90.1, -0.3, -5?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 3*v**2 - 2391*v - 2394 = 0?\nAnswer: -1, 798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11723 divided by -19.\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 378393.489 to the nearest ten thousand.\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/78)\/((-406)\/15834)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -12424, -2\/41, -2\/193?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 204859 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(-10 + 2 - 17)*(-1 - g**2 + 1 + 2*g + g**2 - 2*g + (-2 + 2 + 2)*(-g + g + g**2)).\nAnswer: -100*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence em when two letters picked without replacement from {u: 5, m: 3, e: 1, i: 3}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**5 + p**5 + 0*p**5 + (p - 5*p + 2*p)*(-5*p**4 + 0*p**4 + 4*p**4) + (-2 + 3 - 2)*(2*p**5 + p - p) + p**5 - 5*p**5 + p**5.\nAnswer: -p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*p + 325750 + 579416 = -1601136. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 8:18 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -2 - 1 - (13 - 9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3937783 is divided by 92.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12824068?\nAnswer: 2, 67, 109, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77527, 619061, 2088951, 4951381, 9670535, 16710597, 26535751?\nAnswer: 39610181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/6*-4)\/(7 + 62558862\/(-8936982)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(3\/804*2) is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54665194183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 10*u**2 - 9*u + 6. Let w be a(-9). Let s be 3\/6 + 18\/(-4). Let l = s + w. Solve 0 = 2*n + l, 2 + 6 = 3*p + n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.5, -12.\nAnswer: -12, 0.5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0*a - 30 = 5*l, -3*l + 3*a = -6. Sort -5, 2.2, 4, l in decreasing order.\nAnswer: 4, 2.2, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -37*l**3 + 2*l**2 + 4*l + 2. What is the tens digit of d(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-708)\/54 + 104\/(-5 - -13)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/615617 - -4931707773\/4309319. Let s = -1140 + y. Is s < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 9*y + k - 20 = 0, -k + 11 = 2*y. Let n(f) = 29*f**3 + 7*f - 23. What is the hundreds digit of n(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71 + 70.484. Let s = 0.51599791 + g. Round s to 7 decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.8409259 decades?\nAnswer: 8.409259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5287 and 3961.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 12 (b) -0.02 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/8)\/((-3)\/(-6)). Let i = 3 + h. Suppose 4*u - 2*z - 80 = -0*z, -z = 2*u - 40. Solve 0 = -i*s + s + u for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49 - -55) + 0 + (-9 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 30 = 2*n - 127, 3*n = 2*m + 146. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iq when two letters picked without replacement from iziqi?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 12*f**2 + 5*f - 24. Determine t(12).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 8 = -0, -3*j - 402 = -3*x. Does 39 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*n**2*y**3 + n**2*y**2 + 5*n**2*y + 21765*n*y**2 - 7*n + 2869224*y**6 + y**2 wrt y?\nAnswer: 78*n**2 + 344306880*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (204 + -1)*1 - 0?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, 1149, 2, 57 in descending order.\nAnswer: 1149, 57, 6, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271459 is divided by 870.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 30499?\nAnswer: 30499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 988499 - 988497. Let t = -0.05 + -0.02. What is the second biggest value in 0.1, 0.4, m, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*j = -51*j - 33 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1662*m + 215153 + 39799 - 58836 for m.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 79807 and 182?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -367 + 364. Let s = 259\/15 - 53\/3. Put s, 5, w, -5 in increasing order.\nAnswer: -5, w, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.02 + -39.98. Let f = 41.51 + o. Let t = f + -0.4. Round t to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-160)\/30*(-25)\/((-200)\/(-93)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*b - 100 = 0, -v - b = 4*v - 125. Suppose -4*j - 5*r = -j - 50, -5*r + v = 2*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -91 + 112. Suppose 5*g + i = 441. Suppose 2*t - g = 4*q, -3*t - 3*q + 130 = -8*q. Calculate the greatest common divisor of 5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o + 7*o + 5*o - 3*o as d + z*o and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -88\/135471 and 97\/30?\nAnswer: 1354710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1))**(-34))**5 assuming v is positive.\nAnswer: v**170","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3232 divide 84248544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 11*y + 34. Let q be u(-6). What are the prime factors of 2 - ((-576)\/27)\/(q\/42)?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 7*b**5\/60 + 31*b**2 + 1. Let w(a) = -a. What is x(w(m))?\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - s - 4 = n, 0 = 5*n - 3*s + 13. Let d = 243945 + -243865. What is the remainder when d is divided by 142\/5 + n\/5?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - -18) + (8 - (5 - 3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 93\/(-27342)*(-93 + 65)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 less than 1112577699.9?\nAnswer: 1112577611.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2823739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -24*(1 + (-69)\/12).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/15840 and 139\/19038?\nAnswer: 50260320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -135*c + 105. Let q(v) = 17*v - 13. Let b(u) = 2*u + 22. Let g be b(-8). Let a(t) = g*r(t) + 51*q(t). Let y(m) = 7*m - 4. Determine 4*a(i) - 33*y(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/13 bigger than 26.87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.4, 91, 3, 48\/5, 2, -0.5?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - -3 - (-4 + -3). Suppose c - h = 2*c. What is the tens digit of ((-8)\/5)\/(1\/c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 541*m**3\/2 + 290*m**2 + 377*m. What is the derivative of f(l) wrt l?\nAnswer: 1623","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 797085182?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/105*-2)\/((-4)\/(84\/(-9)))?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -35*x + 7. Let p be f(0). Suppose -v + 410 = -3*h, 3*h - 2072 = -5*v + p*h. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32010124 (base 5) in base 16?\nAnswer: -41031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*y - 58*y = 378. Suppose -6*k = -21 + y. Let f(j) = -j**2 - 7*j - 8. Determine f(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 59, 5\/4, -3, 1.9?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + -1 + -2*((-1*sqrt(1331) - sqrt(1331)) + 4 + sqrt(1331) + -1 + sqrt(1331) + sqrt(1331) + 5)).\nAnswer: 30 + 44*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -123071, 1\/8, -6, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.9 + 1.71. Let s = n + 1.1899937. What is s rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxuxiixxiaaxaii. What is prob of sequence ax?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 899.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12 and 27\/209.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.55 + 0.35. What is the fourth biggest value in -0.4, 1\/4, 0, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -528 + 44351\/84. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58377 is divided by 14593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 561.\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1375298, 1375277, 1375254, 1375229, 1375202?\nAnswer: 1375173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1445338122?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwududuwuuwddwwdd. What is prob of sequence dxw?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1965*v**6 + 2*v**4 + 42429*v**2.\nAnswer: -235800*v**3 + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**2*a*a*a**3*a)**(-50)\/((a\/a**(-6))\/((((a\/a**(-8))\/a)\/a)\/a))**(-27\/7) assuming a is positive.\nAnswer: a**(-3123\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1934 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*j + 1947 = -45*j + 1337 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 39 + (-27 - 3) + (-1 - 13)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4*c - 4)*(-6 + 4 + 1).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2628481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*k = 279, r + 4*r - 3*k - 446 = 0. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2011110212111 (base 3) in base 5?\nAnswer: 243312441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, g: 5}. What is prob of picking 4 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*p, 2*h + 2*h + 5*p + 401 = 0. Let a = h + 220. Suppose -3*f + a = 6*f. Calculate the highest common factor of 7 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4218*f**2 - 2 + 8430*f**2 - 4216*f**2 - 10*f + 43*f in the form x + c*f + u*f**2 and give c.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20\/7 in -1\/2, -0.1, -1\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 12147.56 to the nearest ten.\nAnswer: 12150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.031 (b) 3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/3133?\nAnswer: -2\/3133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-1\/2))\/w)\/w**2*(w*w**(3\/5))\/w**(-2))**(11\/5) assuming w is positive.\nAnswer: w**(231\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*g - 322*g = -162*g + 4*r + 27, -g = 3*r + 21 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*s = 89*s. Solve 7*h + 6 = -o + 6*h, s = -o - 5*h - 14 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1030368 and 343456?\nAnswer: 1030368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15784 - 15785. Let f = 0.7 - 1. Which is the biggest value? (a) f (b) 4 (c) v (d) 25\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 * -11.25.\nAnswer: -191.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 0 + 1\/4*h**5 + 5*h + 0*h**3 - 1\/6*h**4 + 0*h**2. What is the third derivative of f(g) wrt g?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 8:52 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70372814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006908 rounded to six dps?\nAnswer: -0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 3 + (-15 - -17). Let f be (30\/51)\/(-5) - 106\/(-34). Solve f*p = -0*p - o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 6:40 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -87880a (base 11) in base 10?\nAnswer: -1402521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 204 (b) 2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 + 9*i + 5. What are the prime factors of j(-7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 8 = -19*y + 30*y. Let h(w) = 402*w**3 + 27*w**2 + 27*w + 27. Let j(v) = 31*v**3 + 2*v**2 + 2*v + 2. Calculate y*h(g) - 27*j(g).\nAnswer: -33*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -16*z - 2. Let f(c) = 17*c + 2. Give 3*f(m) + 2*u(m).\nAnswer: 19*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - f - 156, -i - 2*f + 160 = -5*f. Suppose 0 = 6*r - i - 104. Calculate the lowest common multiple of 12 and r\/2 - 5\/10.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -2, 4 in descending order.\nAnswer: 4, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -6. Let l(x) = -2*x + 9. Let c be l(g). Let m = 153 - c. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1902555 is divided by 287?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1685215992?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v - 10. Let b be r(7). Let m(a) = -12*a - 2. Let t be m(4). Let g = t - -46. Sort g, -3, b in increasing order.\nAnswer: g, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1971 and -714.76.\nAnswer: 140.879196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 8:58 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t + 11. Let v be d(0). Solve 4*y - 5*o = v, 0 = -4*y - 6*o + 2*o + 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/258180?\nAnswer: -1\/258180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 4*g + 0*g**3 + 0*g**2 - 1\/75*g**6 - 1\/30*g**4 - 1\/25*g**5 + 0. Let b(l) = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*p**3*z**2 + 218*p**3 - 2*p**2*z + 31*p*z**2 - p with respect to z.\nAnswer: -16*p**3*z - 2*p**2 + 62*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -570865*o**3 + 5864*o**2 + 340?\nAnswer: -3425190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 4. Let j = -7 + k. Suppose -4*x - 4*l = -4, 2*x + 2 - 8 = -l. Sort 1, x, j in descending order.\nAnswer: x, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -165492 and 3059978.\nAnswer: 2894486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -61*y - 40. Let c(f) = 840*f + 550. Let b(w) = -4*c(w) - 55*u(w). Let z be 3\/5*(-15)\/(-3). Suppose 13 = -s - 3*g, -2*g - 3*g - 31 = -z*s. Give b(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.937 + -2.063. What is the nearest to -0.1 in -2\/13, b, -2, 0.3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) - sqrt(2401)*-1)\/(sqrt(56)\/(-3*sqrt(8))) - ((((sqrt(28) - 3*(sqrt(28) - sqrt(112)\/sqrt(4))) + sqrt(28))\/(-1*sqrt(4)*-6))**2 + 1).\nAnswer: -24*sqrt(7) - 16\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**9))\/(m\/(m*m*((m*m*m*(m\/(m\/(m\/(m**(-1\/6)*m))))\/m*m)\/m)\/m))*m**(-3)\/(m*m\/(m\/(m\/(m*m\/(m\/m**(4\/5)))))*m) assuming m is positive.\nAnswer: m**(-331\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -18*k + 8. Let p(r) = -36*r + 15. Calculate 7*i(o) - 4*p(o).\nAnswer: 18*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (0 - -3)) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 1375.\nAnswer: 3\/1375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 946720 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 5. Calculate the remainder when (1\/h)\/(4\/492) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 - (-16 - 35) - -23\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3842983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {o: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 5*n + 1. Let f(i) = -4*i. Let c(u) = -3*f(u) - 2*s(u). Let w = 41 + -39. Calculate c(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 7 + -4 + -11\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2.6 (b) -0.1 (c) -138\/10657 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 97 and 35.\nAnswer: 3395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 345, 4, 1, 3, -6, -5 in ascending order.\nAnswer: -6, -5, -4, 1, 3, 4, 345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 at most -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7185 = 6*v + 9*v. Let j = 4186 + v. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -117, -116, -115, -114?\n\"Answer: b - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/3, -0.5, -37161699 in ascending order.\nAnswer: -37161699, -7\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, 442, 786, 1130, 1474, 1818?\nAnswer: 2162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 + -49. Solve -q + 0 = n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 375545 and 1915.\nAnswer: 143833735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19953 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 36*t - 52. What is c(34)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 13576?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 7. Let x(o) = -o**3 - 8*o**2 - 7*o - 5. Let y be x(-7). Calculate m(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 2:26 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 278564 and 50182.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -4*j + 5*x, -5*j - 19 = -2*j - x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((11700\/80)\/(-195))\/((-6)\/(-8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -0*m + 30. Let i = 11 + m. Let k = -3 + i. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2707265 (base 8) to base 14.\nAnswer: 15a061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 - 44.99999914. What is g rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.4 in 0.2, -0.1, 0, 37\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2. Suppose 0 = 7*l - 61 - 16. Let i(f) = 5*f**2. Give l*h(d) + 4*i(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 760\/12*((-33)\/(-6) + -4). Let l = x - 80. Let -l*s**2 + s - 3*s**3 - 13 + 40 - 10*s = 0. What is s?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 227.\nAnswer: 3\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -523076 (base 11) in base 6?\nAnswer: -25550245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 b when four letters picked without replacement from {v: 11, q: 6, b: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 + 0 + (-3 + 5 + 1)*(0 + 4 - 5))*(9 + 1 - 4)*(2*x + 0 + 0)*(-3*x + 5*x - 3*x) in the form n*x**2 + f*x + j and give n.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 86?\nAnswer: -17.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*j**2 + 3 - 45*j**2 + 3 - 6.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hyph when four letters picked without replacement from {y: 5, i: 3, h: 2, p: 7}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -425.3 + 425. Sort a, -1, 3 in decreasing order.\nAnswer: 3, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/2 and 59\/2106?\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((4*sqrt(156)*-2)\/(sqrt(588)*2))**2 + 2*((sqrt(468) - (sqrt(468) + -4 + sqrt(468)*-1) - sqrt(468)) + 0)**2.\nAnswer: 1776\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 933 and 21.\nAnswer: 6531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 20*c**2 - 20*c - 16. Suppose -26 = 3*d - 89. Let v be r(d). What is the biggest value in 10, v, 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 11*t - 80 = 0. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000056997 to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 x when two letters picked without replacement from xxixxixxixxixaiiixxi.\nAnswer: 44\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -93, -0.07, -5, -9.4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 909358592?\nAnswer: 2, 1776091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 222 = -4*o, -2*w + 7*o = 3*o - 144. List the prime factors of w.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -l**5\/20 - 11*l**4\/12 - l**3 + 20*l**2 + l - 1844. What is x(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 820*h - 815*h - 9*t + 1 = 0, -h - t - 3 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -4*g - 2*l, 6*g - 8*g - 5*l - 5 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20720 and 994560.\nAnswer: 994560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y + y - 5*y + 1 - 1 + y + (-2 + 5 - 5)*(3*y - y + 0*y) - y + 3*y - 3*y + 3 - 2*y - 3 + 2*y - 3*y + 3*y - y + 0 + 0 as c + w*y and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k + 7. Calculate y(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/((s*(s*s**(-2)*s*s*s)\/s*s)\/s)*s\/((s**(-7\/4)\/s*s)\/s))**(-8)\/(s**2\/s**6)**(-45) assuming s is positive.\nAnswer: s**(-210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14*(-12)\/1386)\/((-11)\/33))\/(-2).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-14))\/((-5)\/7).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 67 in 2, 992, -1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 172663\/30762 - 3\/1709. Find the common denominator of f and 63\/80.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-13*(240\/(-3960) - 58\/132).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/36)\/((-2156)\/882) - 51\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -218, -411, -578, -719, -834?\n\"Answer: 13*b**2 - 232*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 856855.2 centuries to months.\nAnswer: 1028226240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/6*(-2)\/8. Let z = 27\/20 + -8\/5. What is the closest to 2\/7 in 2, x, z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 982207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.97 + 6.73. What is n rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*12069\nAnswer: -72414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = y - 2*y + 8, -2*y + 8 = 2*d. Suppose -6 = 4*k + y. Let m = k - -12. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 429, 860, 1291?\n\"Answer: 431*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17831 and 2222?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 17862*h**2 + 17865*h**2 - 35728*h**2 + 1596*h + 566*h as x*h**2 + t + c*h and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 25464*i + 2 - 1 + 1.\nAnswer: 25464*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40bf2 (base 16) to base 14.\nAnswer: 6c910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 0 + (1 - 1). Let p(o) = -4*o + 7*o + 8 - n*o. Let h be p(6). What is the highest common factor of h and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*f**2 - f - f**3 - 14*f**2 - 17*f - 9981*f**4 + 9982*f**4 to m + p*f**4 + y*f**2 + b*f**3 + r*f and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -828 + 828.09. Which is the third biggest value? (a) r (b) 8 (c) -2\/17 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -537 + 1374. Suppose -802 = -11*f + p. List the prime factors of f.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5\/81 - -22\/81. Let r = -0.2 - -0.5. Let j = 0.2 - r. What is the second smallest value in -2\/7, i, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**5\/4 - 49*y**4\/4 - 523*y**3\/4 + 1873*y**2\/4 - 494*y + 169.\nAnswer: -(y - 1)**3*(y + 26)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-7) + (-88)\/(-14). Suppose 80 = -2*r + j*r. Let z be ((-6)\/r)\/(3 - 0). Put 2, -1\/5, z in increasing order.\nAnswer: -1\/5, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*n - 11223 = 311*n for n.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2082 - 2082.1. Which is smaller: -188\/45 or l?\nAnswer: -188\/45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 13*u**2 + u + 3. Let z(k) = -2*k**3 - 25*k**2 - 2*k - 5. Let x(y) = 5*t(y) + 3*z(y). Calculate the lowest common multiple of 18 and x(-10).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12\/893 + 7612\/34827. Let x = b - -6\/13. What is the closest to -2\/5 in 21, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence enny when four letters picked without replacement from eyyybeynyeyyyeuny.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 87, 101, 81, 15, -109, -303, -579?\nAnswer: -949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5336 and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**4 + 459759*t**3 - 24817554*t**2 - 104787420*t - 106626504 = 0.\nAnswer: -2, 58, 153199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/682814433 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -69, -119, -165, -207, -245, -279?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*w**2 - 11*w**2 - 15*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -r**9\/5040 + 3*r**8\/2240 - r**7\/420 + 7*r**4\/4 - 12*r - 1. Let t(z) be the third derivative of y(z). Factor t(u).\nAnswer: -3*u**2*(u - 2)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -2.3. Let g = q + 1.6995. Round g to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 754.00001034 + -754. Round m to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(66)*-3)\/sqrt(6) + (-1 + sqrt(176))*4 + 3.\nAnswer: -1 + 19*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -3 - (0 + -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y**2 - 48*y + 6. Let c(m) = -9*m**2 + 144*m - 17. What is 11*a(r) + 4*c(r)?\nAnswer: -3*r**2 + 48*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 94 = 5*g, -5*r + 0*g = 4*g + 97. Let d be (r\/(-42))\/((1\/4)\/1). Solve 0*h - 2*h = d for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**2 + 3*b - 2. Let c(p) = -p**2 + 2*p - 1. Suppose 4*k - 4*h - h - 10 = 0, 0 = 2*k - 2*h - 6. Give k*c(a) - 2*q(a).\nAnswer: a**2 + 4*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/902558 and 77\/8.\nAnswer: 3610232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 108 + 1182. What is i rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40596746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23242?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189)\/(sqrt(825)\/sqrt(11)))\/(-6*(sqrt(441)*-3 + sqrt(441))))**2.\nAnswer: 1\/25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 184*c - 843 + 1688 + 5*c**3 - 32*c - 843 to the form n*c + j*c**2 + q*c**3 + g and give n.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-18))\/((-3)\/27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 2*c**3\/27 - 64*c**2\/9 - 146*c + 4183. Factor n(a).\nAnswer: 2*(a - 73)*(a + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a factor of 6590034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rk when two letters picked without replacement from {k: 5, a: 4, r: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2 = -16. Is 8\/24*2253*w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 169550406 to the nearest one million.\nAnswer: 170000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (75\/(-45))\/((-590)\/(-7788))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20280912?\nAnswer: 2, 3, 283, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 70.1 (b) 2\/11 (c) 0.3 (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1508 - 297*g**3 - 4878*g**3 + 756 + 346*g + 755 - 241*g**3 wrt g?\nAnswer: -32496*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 333*w**2 + 97*w - 24. List the prime factors of k(-7).\nAnswer: 2, 37, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) - sqrt(550)\/(sqrt(55)\/sqrt(5)))\/(-1*-2*sqrt(10)) + -5)*2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fiflklik. Give prob of picking 2 l and 2 f.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 6, 5*b - 9 = 2*n - 18 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-10)*s)\/(s*s**3))\/(s**(3\/2)*s**(-5)) assuming s is positive.\nAnswer: s**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -131 - -142. Suppose -3 = y + 4*v - 2, -y = -5*v - 26. Solve -3*b + t = -9, i + y = 5*b - 4*t for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 9486 = 34800. Let s = x - -2381. Round s to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 353 and 15456811.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64248?\nAnswer: 2, 3, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 43254*v - 21634*v - 27*v**2 - 21632*v.\nAnswer: -3*v*(9*v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.3 in -1\/9, -5, 2, -2\/17, 14?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*1\/(-6)*-6 + 5. Put -3, -2, 122, c in descending order.\nAnswer: 122, c, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 441 = 5*t + 107, t = 5*g - 1540. Suppose 2*f + 93 = g. Is f a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 + (14 + -52 - 17) - (4 - 15).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 382965652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*r - 84 = -177*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 12:24 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 505, 4062, 13715, 32512, 63501?\nAnswer: 109730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 1:41 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -l, g + 19 - 39 = -3*l - 16 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2841 - -552?\nAnswer: 3093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 1102 = -8*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 426481255 to the power of 1\/3, to the nearest integer?\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - s + 3*s = -1, -5 = 5*s. Put -9, o, 4 in ascending order.\nAnswer: -9, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**3 + 1401*p**2 + 765*p + 45506. Give a(-700).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 12*u**2 - 10*u - 2. What is the units digit of d(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 47822, 95647, 143472, 191297?\n\"Answer: 47825*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**3*l**2*z + 134615669*a**3*l**2 - 2*a**3*l - 16*a**2*l - 695*a**2*z + 2*a*z + 7*l*z + 3*l - z wrt l.\nAnswer: 2*a**3*z + 269231338*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 4:20 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (118\/4)\/((-19)\/(-76)) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1338050, 1338054, 1338060, 1338068, 1338078, 1338090, 1338104?\nAnswer: 1338120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.15 - 20.15. Let f = s + -3. Let k = f + 23.0000053. What is k rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 230756, 230792, 230828, 230864?\n\"Answer: 36*c + 230720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.83 in 4\/5, -3, -5, 352?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1762 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.07 (b) 7.1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 6, 3*s = 6*h - 7*h + 3. Suppose -s*j = 2*p - 276 - 78, 3*j - 3*p = 549. What is the greatest common divisor of j and 144?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 7:35 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - 175164\/21906 - -4. Let w = 191546\/441771 - b. Calculate the common denominator of w and -41\/88.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 6 + 6)*(4 - 2 + 0 + 4 + 3 - 5 + 5 - 3 - 4 + (-2 - 3 + 7)*(-1 + 0 + 0) + 1 + 1 - 4).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -267.78? (a) 1 (b) 0 (c) -64 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 228 and 451406294.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (24\/10)\/3 + (-1280)\/(-400). Solve -5*f = b*z, 3*f + 3*z - z - 2 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y**2 - 13*y = 0. What is y?\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 + 44. Suppose 0 = a*d - 5*d - 34. Let o = d + 112. Does 26 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*r - 21, 5*w + 2*r = -3*r + 10. Suppose w*l = 4*l + 22. Is (28\/10)\/(l\/55) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 5*y**2 + 3*y - 15. Let a(m) = 3*m**2 - 144*m - 445. What is the least common multiple of a(-3) and b(-7)?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407062 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -53. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -0*r - 20. Suppose 2*z + 0*z + j + 2 = 0, 3*z - 8 = 4*j. Suppose -r = -z*p - 5*p. Solve -4*g - 2 = -p*o, o + g = -2*g - 14 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137, -261, -389, -521, -657, -797?\nAnswer: -941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 plus -618?\nAnswer: -638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*c = 0, 3*s - 2 = 7*s - 2*c. What is the derivative of -5 + 2*l**2 + 6*l**s - 4*l**2 - 2 wrt l?\nAnswer: 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113 = 68*p - 23 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 9*j + 430 = 0. List the prime factors of j.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -445, -1069, -2413, -4837, -8701, -14365?\n\"Answer: -60*q**3 - 204*q - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (4 + (-5 - 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -188259684*c**3*w + 103905721*c**3 with respect to w.\nAnswer: -188259684*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 17\/3 - (-6)\/(-9). Suppose -288 = 4*z - 1340. Let n = z - 264. Put y, n, 0 in decreasing order.\nAnswer: y, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 11:48 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-8)*72\/(-18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -768.6 times 0.0376\nAnswer: -28.89936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102000313 (base 4) to base 6.\nAnswer: -1325331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o - 4. Let r be t(-3). Suppose -4 + 14 = -r*i, 4*i - 26 = -2*b. Suppose -b = -z - 8. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1218 in -5, -267, 0.2, -4\/7?\nAnswer: -267","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -0.06 (c) 171 (d) 8 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60.5 + -52. Let z = 24843479.4999898 + -24843488. Let f = p + z. Round f to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**4\/8 + b**3\/6 + 4*b**2. Calculate m(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-3) - (-13 + -6). Suppose 5*m + s = 293. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6980*w**4 + 1533*w**2 - 1.\nAnswer: -167520*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 198 + -197.6. Let d = 1884 - 1872. Which is the nearest to x? (a) 0 (b) -1\/4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3163 divided by -1\nAnswer: 3163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 8) in base 9?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17323 and 391?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 9:58 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 19. Let o(w) = -6*w**2 + 2*w + 1. Let y be o(-1). Let x = m + y. Let k(l) = l**2 - 3. Calculate k(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v - 2909 + 3030 = 3*m, -4*v - m + 39 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.71 * 1.\nAnswer: 1.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of u**4\/12 - u**3 + 5*u**2\/2 - 50*u. Give i(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335713928267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1049*x + 6604*x + 5009*x + 564*x + 7106*x + (-4 + 3 + 3)*(-4*x + 2*x + x) + 0*x - 3*x + x in the form c + d*x and give d.\nAnswer: 18230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 8*b**2 - 2*b - 9. Suppose 0 = 4*g + 13 + 3. Is u(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n**(2\/5)\/n)*n\/n**(2\/7))**(-14\/9)\/(n**3*n**1)**(-7\/2) assuming n is positive.\nAnswer: n**(398\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -2*f - 5*k, -26*f + 22*f - 2*k + 26 = 0. Calculate the common denominator of -5\/156 and (18\/16)\/9 + f.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -14*u - 13. Let q(m) = 17*m + 19. Let l(r) = 7*d(r) + 5*q(r). Determine l(4).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 239.87 * 11.\nAnswer: 2638.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-2\/5)*d)**(5\/4)\/(d**3*d**1\/d) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 5*c + c)*(-6*c**2 + 17*c**2 - 7*c**2).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81 - -119. Suppose -2*x + 10 = 2*w - 5*x, m = 4*w + 3*x. Find the third derivative of i**6 + w*i**2 - i**6 - 14*i**6 wrt i.\nAnswer: -1680*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 44 = 12*h. Let m be -4*(-2)\/h + (-3)\/2. Let x = -0.9 - -1. What is the closest to -2 in m, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50274 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.442*49282.\nAnswer: -514602.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 5) to base 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -9105669*g**3 + 9107454*g**3 + 2*g**4 - 4*g**4 - g in the form p + m*g + y*g**3 + d*g**2 + w*g**4 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 910 is divided by 880?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, 8, 53, 126, 233?\nAnswer: 380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 b, and 1 f when three letters picked without replacement from kmkhmfkbfmbfmkmmmbh.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 3. Let y(w) = 2*w + 4. Let z(v) = 7*i(v) - 4*y(v). Suppose -o - o = 32. Let r be z(o). Solve -5*l = 1 - r for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i**5 + 1912*i**4 + 3348*i**3 - 15808*i**2 + 2752*i = 0.\nAnswer: -172, -4, 0, 2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-2)\/(-6)*-1). Suppose 0 = -4*k - d - 13. Let m be (-4)\/(-8) - (-2)\/k. Solve m = 4*g - p - 0 - 1, 4*p = 12 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 804025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -786, -1700, -2724, -3846, -5054, -6336, -7680, -9074?\nAnswer: -10506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o + 6. Let t be z(-4). Suppose -40 = -2*i + 5*u - 3*u, -5*i + 118 = 4*u. Let y = i + -21. Which is the biggest value? (a) 2\/9 (b) y (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/462954 and 3\/162188218?\nAnswer: 486564654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 33, 32, 31, 30, 29, 28?\n\"Answer: -o + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 8*i**2 - 10*i - 6. Let z be c(-9). Suppose z*u + 12 = 5*u - 4*j, 0 = 4*j. Let w(h) = -5*h - 4*h + u*h + h. Let g(t) = 5*t. What is g(w(n))?\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1667.5359 months to centuries.\nAnswer: 1.38961325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.39 + 3.75. Let g = f - 0.36. Which is the second biggest value? (a) 2\/3 (b) -6\/5 (c) 0.29 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 41947, 41763, 41579, 41395, 41211?\n\"Answer: -184*t + 42131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57 + 59. Suppose 19 = 5*x - 3*f, t*f + 2*f + 16 = 2*x. Suppose -b + 1311 = -2*v - 382, -x*b + 3385 = -3*v. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -1.8 (b) -0.01 (c) 0.3 (d) -0.05 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from esrejs. What is prob of picking 3 r and 1 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-132)\/20)\/3*-5. Suppose 2*g + 4*y + w = 35, 4*g + y - 20 = 0. Suppose 2\/3*u**5 + 5\/3*u**g + 0 - 1\/3*u + u**3 - 1\/3*u**2 = 0. What is u?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(1872) + 2*sqrt(1872)*6)**2*-2 + ((sqrt(143)*1*2)\/((sqrt(110)*-2)\/sqrt(10)))**2.\nAnswer: -632720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-15)*1*18. Is 30 a factor of (-3006)\/(-30) + j\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**5\/120 - g**4\/24 + 11*g**3\/3 - 2*g + 81. Let x(z) be the third derivative of l(z). Suppose 2 - 8 = -2*o. Calculate x(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3067448516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51 - -54. Solve -5 = 2*r - 5*g, 2*r + 2*g - c = -1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-10)*4)\/((-48)\/((-74880)\/26)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*b**2 + 40*b**2 + 25*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) - (sqrt(847) - (-1 + sqrt(847))*6)**2) + -4)*2 - (sqrt(28)\/(sqrt(8)\/sqrt(4) + sqrt(2)) - sqrt(14))\/(sqrt(2) + sqrt(200) + sqrt(2)).\nAnswer: -42430 + 32209*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 8356260.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 8836429400 to the nearest one million.\nAnswer: 8836000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 184923*c + 26567*c - 1.\nAnswer: 211490*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 2. Let q be t + (-5)\/(-7) - 2. Which is the closest to 1? (a) 2 (b) q (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 161129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7*i**2 - 9*i + 0*i - 4*i**2. Let z(o) = 20*o**2 + 61*o - 4. Let x be z(-3). Does 35 divide j(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 364.7132l?\nAnswer: 364713.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.369*-0.5.\nAnswer: -0.1845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -1 + (-86 - -90).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 12*z - 167. What is the lowest common multiple of m(-9) and 4528?\nAnswer: 49808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25505 (base 6) to base 8.\nAnswer: 7421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 322984959 to the nearest integer?\nAnswer: 17972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 4 - 13*c**2 - 1 + 136*c**2 - 2 to the form t + f*c + z*c**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1920215781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 27*r**2 + 685*r + 3665. Determine q(19).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 2 = -2*x, -18*x + 2*y = -14*x + 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7705 divided by -5?\nAnswer: 1541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -2145444?\nAnswer: 10727220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*w - w**2 - 3*w)*(7 - 7 + w**2) + w**4 - w**4 - w**4 + (-w**4 - w**4 + w**4)*(1 + 0 + 1))*(-4*w + 0*w + 2*w).\nAnswer: 8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 4*j**2 - 2*j - 6. Let f be l(-4). Let k = -2 + f. Suppose k*g = g. Solve -5*i - 20 = -g*i + 5*o, -2*i = -5*o + 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*f**4 - 21*f**4 - 22*f**4 + 30*f wrt f?\nAnswer: -108*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 176 and 48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**2*c*c**7)**(-5))**6 assuming c is positive.\nAnswer: c**(-330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 14308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 16 + 15 = -y, -5*y = 4*h + 14 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.72262049 to four dps.\nAnswer: 2.7226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17\/55125 - 1301115307\/220500. Let y = q - -248861\/44. Let x = y - -246. Find the common denominator of x and 48\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 371 divide 4008279548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/84 + 1212\/7 - 2. Suppose a - 10*a = -p. What is the highest common divisor of 152 and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4664 + -1?\nAnswer: -4665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oj when two letters picked without replacement from ojooojoj.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -6648.94 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4)*(27 + 1). What is the remainder when 7 is divided by 3\/6 + o\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and 7842318.\nAnswer: 7842323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 515, 2, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**2\/7 + 702*j\/7 + 699\/7 = 0 for j.\nAnswer: -233, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00119840108 to 5 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/6406919 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*s + 5*s + 1470. Solve 10*l + s = 17*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 7.1. Let y = d + -3.1. What is the nearest to 0.3 in 5, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90066996 divided by 82?\nAnswer: -1098378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/3310 and -3\/24205037.\nAnswer: 242050370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 22*s - 5278. Let z(l) = 180 - 3*l - s + 152. Let j be z(-15). Which is the closest to 0.2? (a) j (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 76*r + 46. Let u(g) = 15*g + 9. Let i(z) = -2*f(z) + 11*u(z). Suppose 11 = 5*x - 2*w, 2*x - 25*w + 26*w = 8. What are the prime factors of i(x)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(612) + sqrt(612) + -1 + 3 - sqrt(612) - sqrt(612) - (-2 + -1*sqrt(612))))**2.\nAnswer: 1728*sqrt(17) + 22608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 16*i. Let k(x) = -811*x**2 - 2*x. Give t(k(h)).\nAnswer: -12976*h**2 - 32*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s**2 + 2*s + 2. Let b = 25 + -18. Let w be ((-4)\/10)\/(4*b\/(-140)). Give a(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4c01 + 7c?\nAnswer: -4b74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44848113.\nAnswer: 3, 19, 41411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4\/5)\/(i*i**7*i*i))\/((i\/i**(-1\/8))\/i**(-2\/9))*(i*i*i*i**(2\/3))**(-14\/9)*i**(-8)\/(i*i**(-1\/2)*i) assuming i is positive.\nAnswer: i**(-29539\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51\/(42\/(-21)*17\/((-306)\/27)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 1417*u**5\/120 + 2*u**3 - 2. Let k(p) be the third derivative of w(p). Is k(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 27 = 3*m - 3*u, 5*m = -u + 20. Suppose -m*w - 2 = -4*w. Suppose -z = 4*n - 177, -3*z + 92 = w*n + z. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1463?\nAnswer: 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5328978 to the nearest integer?\nAnswer: 2308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 112\/5. Suppose 2*o - 10 = -5*u - 26, -3*o = -5*u - 1. Which is the nearest to 0? (a) h (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 15 = 4*r, -36 = -3*k + 5*r - 2*r. Let b(p) = p**3 - 8*p**2 + 10*p - 7. Give b(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -5*h - 5*q, -7*h = -6*h + 3*q + 15. Let j be -14 - (-2 + (2 - h)). Let a = j - -22. Solve -6*l - a = -l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 516075 is divided by 11215.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 2:15 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 113*t**2 - 113*t**2 - 19*t + 3*t**4 + 17*t**4 + 14*t**4 - 14*t**4 + 5*t**4 - 2*t**4 - 2*t**4 + (2*t**3 + t - t)*(-1 + 1 + t) + 2*t**4 + 0*t**4 - 4*t**4.\nAnswer: 21*t**4 - 19*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6367519.4 rounded to the nearest 10000?\nAnswer: 6370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1929769259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - c. Suppose -2 = -x - c*x. What is the second derivative of -i**5 + i + 2*i**5 - i - x*i wrt i?\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/20*(-4)\/(-6))\/(213\/(-1065))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*a**4 + 20*a**4 + 6*a**4)*(-2 - 3 + 3) + 3*a**4 + 7*a - 7*a - 3*a**4 - a**4 + 2*a**4 in the form b*a + p*a**2 + z*a**3 + v + q*a**4 and give q.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**2 + 97804*y + 97800 = 0.\nAnswer: -24450, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of s**5\/120 - s**4\/72 - 2*s**3\/9 + s**2 - 9*s + 4. Let k(j) = 0. What is j?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 + -40 + (15 - -56).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -7\/353 (c) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-70)\/(-3) + (22\/(-6))\/11. What is the greatest common divisor of x and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -8*b**2 - 11 + 18*b**2 + 4*b - 9*b**2. Calculate the remainder when j(6) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 8 - (-20 - (1 + (4 - 9)))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 plus 146.7?\nAnswer: 153.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/225425 and 1\/1668145?\nAnswer: 8340725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -28598786 and 0.09847787.\nAnswer: -28598785.90152213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1510935 is divided by 1915.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5752 and 560200.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 12. Let f = 1556 - 1559. Let h(a) = -3*a**2 - 24. Calculate f*h(c) - 7*b(c).\nAnswer: 2*c**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*x - 5*b = 35, 71 = 2*x - 5*b + 58 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3362 less than -5?\nAnswer: -7.3362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 - z**3 + 15*z**3 - 1000 - 146.\nAnswer: 13*z**3 - 1146","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5*t - 33. What is the smallest common multiple of 16 and o(9)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + 38. Is 18 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 19 = o, 268*n + 2*o = 266*n + 46 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 0, 0 = 4*a + 196*c - 187*c + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3122 - 3244102?\nAnswer: -3240430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/7 - 53862*m\/7 + 2049644\/7.\nAnswer: -2*(m - 38)*(m + 26969)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i + 13. Let w = 7 - -3. Let h be q(w). Find the third derivative of 5*o**3 + 5*o**h + 11*o**2 - o**3 - o**3 wrt o.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*b + 93*b - 18 = 3*l, l - 3*b + 10 = 0. Sort -33, -4, 0, l in descending order.\nAnswer: 0, l, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -229 + 229 + x**2. Let o(w) = 11*w**2. What is o(z(i))?\nAnswer: 11*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16910795 and 881.\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 559378123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1235*p - 356*p + 38243 + 5577 = 600*p for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 11) to base 16.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 5*p**2 - 6*p. Let j be g(6). What is the second smallest value in -0.1, -5, j, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6 = 4*q. Let s be 42\/6 + (-2 - q). Calculate the greatest common divisor of s and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*h - 2)*(6 + 2 - 2)*(4 + 0*h - h - 5).\nAnswer: -12*h**2 - 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 - 129 - (4 - -1 - (-19 - -23))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**23\/h)\/h*h\/(h*h\/h**(-30)))**(-9) assuming h is positive.\nAnswer: h**81","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 173 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z. Let q(v) = v - 12*v + 3*v - v. Calculate q(i(y)).\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5*3 - (-4205)\/319 and 23\/2087?\nAnswer: 22957","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**5 - 10*n**4 - 986*n**3 - 27*n**2 + 3715*n wrt n.\nAnswer: 120*n**2 - 240*n - 5916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b23482 + -37?\nAnswer: -b234b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 4*w**2 + 2*w - 6. Let k be r(4). Suppose 8 + k = 5*l. Find the third derivative of -10*a**2 - 3*a**2 + 5*a**5 - a**5 + 6*a**l wrt a.\nAnswer: 240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 210*v + 226 - 674 = 0, 3*v - 7*v + 340 = -z + 318 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -2\/65 (c) -9\/14 (d) -3 (e) -20 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 10*t**2 + 9. Determine i(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(3*o**2 - 11*o**2 - 5*o**2)*(-4*o**3 - 3*o**2 + 3*o**2 + o**2).\nAnswer: 52*o**5 - 13*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -8bf?\nAnswer: 8c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*j = -2, -4*p - j = -10 - 14. Suppose 0 = 2*f - p*f + 25. Suppose -2*a = -f*a + 9. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 111 = -2*d - 456, -4*d - 2*g - 682 = 0. Let p = 302 + d. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1768624400073 and 5.\nAnswer: -1768624400068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 + 0*v**2 + v**3 + (-v**2 + 5*v**2 - 3*v**2)*(6*v + 0*v - 4*v) - v + v**3 + v - 35 + 21*v**3 + 35.\nAnswer: 25*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -188*m**2 - 8*m - 7. Let h(p) = -189*p**2 - 7*p - 6. Give -7*h(q) + 6*r(q).\nAnswer: 195*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 15) in base 5?\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 9. Suppose 5*i = -z*i - 4*y + 135, -i = -4*y - 3. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.78 - -196182332050\nAnswer: 196182332048.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/21 in -4\/3, 4, -4\/2053, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2. Let h be w(-1). Solve 6*k - h = 7*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c7951 (base 13) to base 14.\nAnswer: -150579","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 + 7*h + 2*h - 8*h)*(-2 + 3 + 1).\nAnswer: 2*h + 68","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -32*r**3\/3 - r**2\/2 - 5*r + 45. Calculate h(1).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: -110120120101210 (base 3) to base 8\nAnswer: -31376163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*d - 36 = -98*d. Suppose -d*m = -24*m + 2700. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 687 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -8. Let n = u + -2.2. Let x = 1.1 + -1.4. What is the closest to 2\/5 in -4, x, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 14*a**2 + 2. Let g be 42\/3*(3 + -4). Let d be v(g). Solve -4*u + 6*u + 3*b = 5, 3*u = -d*b - 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1569 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: Let h be 0 + 8 + -7 + -6670. List the prime factors of -1 - (h\/8 - 3\/8).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23307\/15 - ((-56)\/(-10))\/7.\nAnswer: 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + 387\/(-135) + 4\/(-30). Sort 61, 0, f in descending order.\nAnswer: 61, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 7 - 15 = -4*d, 4*s - 23 = -5*d. Determine w, given that 8*w - w**2 + 2*w**2 + 7*w**2 + 2*w**d + 0*w**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (8 - (7 + -4)) + -7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -937*y**5\/5 - 274*y**2 - 2*y + 1166. What is the second derivative of q(r) wrt r?\nAnswer: -11244*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1174*w**4 + 4*w - 1 wrt w?\nAnswer: 14088*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 72944, 74057, 75170?\n\"Answer: 1113*k + 71831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l - 1. Let x be u(-4). Calculate the remainder when (50\/7)\/(x\/21) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(56\/(-64) + 4\/4)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 156260?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4*sqrt(128) + (sqrt(288) + 0 - sqrt(2)) + (sqrt(64)\/(sqrt(8)*2) + 0)**2.\nAnswer: -21*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.1 - 2. Let t = -0.254852 - -0.054852. What is the nearest to z in t, -0.3, -14?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*x - 24 = 27*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - 565)\/(3 + (-15 - -11)).\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*w + 2 = -48*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, l: 5, s: 2, b: 8, w: 2}. What is prob of picking 1 e and 1 w?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6775*q + 2358*q - 2842*q + 7259 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -22434 > -22434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - -4) + -2 + -9 + 20.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 900\/126 - (8\/28 - (171\/21 - 9)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*k - 30*k + 450 = 52*k for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*i**2 + 3*i**3 - 4*i**3 - 2*i + 8*i**3 - 8*i**2 as q + t*i**2 + k*i + r*i**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 0*i**2 + 0*i + 17\/3*i**3 - 30 + 32\/5*i**5 + 0*i**4. What is the third derivative of g(c) wrt c?\nAnswer: 768*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**8)**(6\/7)\/(d**(-12)*d*d\/((d\/(d\/(d**(2\/3)\/d)))\/d)) assuming d is positive.\nAnswer: d**(326\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4c912a (base 13) in base 8?\nAnswer: 7031112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, g: 3, n: 4, o: 6}. What is prob of sequence onn?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 373754?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 408 + -109. List the prime factors of l.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56 by 219.\nAnswer: -56\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -15. Let j(b) = b**2 - 2*b + 2. Determine j(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.7 + -0.3. Which is the closest to -2\/7? (a) -2\/7 (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -22 - (0 - (-1 + 1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 12:10 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 106 - 35. What is the remainder when x is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1370 + 1369.93. Which is the closest to 1\/5? (a) 8 (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssssssssssysysss. What is prob of sequence syy?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 22 = -2*u, 3*u - 4*p + 3*p + 8 = 0. What is the hundreds digit of (-3 + (u - -5))*103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 0, -4*g - 3*x + 7*x = -20. Suppose 5*l - 18 = -3*h + g*h, 0 = -3*l + 6. Let p(d) = 2 - 3 + 0. Let t(c) = -c - 4. Calculate h*p(k) + t(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {a: 5, g: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8795227 to the power of 1\/4, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + -32133100?\nAnswer: -32133112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -z**6\/120 - z**5\/60 + z**4\/24 - 7*z**2. Determine i(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2\/7, -5, 3\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnxssnxxmnwxewwsnwnx. Give prob of picking 3 s.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 10:41 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 29*h**2 + 32*h - 126. Let i be k(28). Which is smaller: 15 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 132, 2 in increasing order.\nAnswer: 1, 2, 4, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 4*y - 4. Suppose 18*s - 21*s + 24 = 0. Let q(g) = -g**3 + 7*g**2 + 8*g + 4. Let i be q(s). Solve -n + 5*p + 16 = 0, -y*p = -i*n + 2*p for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 13*s + 2106 = 0. 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: Let x(h) = -3*h + 9. Suppose -99*j = -156 + 1245. Let d(g) = 15*g - 44. What is j*x(o) - 2*d(o)?\nAnswer: 3*o - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1501213670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -275455 - -826366\/3. Factor 0 - b*s**3 - 1\/3*s**4 + 2\/3*s**2 + 0*s.\nAnswer: -s**2*(s - 1)*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*n**3 - 9*n**2 + 18*n**2 - 11*n**2)*(-1 + 2 + 1) in the form m*n**2 + p*n + k*n**3 + a and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.26+497\nAnswer: 497.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1314211.\nAnswer: 19, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 11:24 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 230 + -1?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + 12092)*-13*(10 + (-189)\/18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**5\/5 - 6*i**4 - 1242*i**3\/5 + 2342*i**2 + 34200*i = 0.\nAnswer: -20, -9, 0, 19, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**6\/120 - z**5\/30 + z**4\/2 + 5*z**3\/6 + 14*z**2. Is m(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/8*1)\/(2\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -m**6\/90 + m**5\/10 + 2*m**4\/3 + 14*m**3\/3 - 43*m**2. Let w(p) be the first derivative of u(p). Factor w(o).\nAnswer: -4*(o - 4)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.079 - 24.921. Let d = g + 22. What is the third biggest value in -12, d, 2, 0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -20433 + 187318. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 28\/(-4) - -2. Is 15\/2 - 6\/c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a hour in seconds?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 0.12\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 + 11 = 4*o. Let p be (o\/1)\/(1\/(-1)). Suppose -13 = -3*a + p. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(5\/10*-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-28 - (-15 - 92))\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16823 is divided by 3797?\nAnswer: 1635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from miiblil. Give prob of picking 2 l and 2 i.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, -0.1, 6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1451.\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -5*a + 4 - 108, 162 = -a + 4*a + 5*p + 346 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/2*(-3 + 3). Let s(x) = -x**3 - 12*x**2 + x + 14. Let t be s(-12). Let l = t - m. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 637 - -11b18?\nAnswer: 12553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/13 - 14*u**2\/13 + 14*u\/13 + 30\/13.\nAnswer: 2*(u - 5)*(u - 3)*(u + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -5618, 16, -12.\nAnswer: -5618, -17, -12, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2a4 - 5d?\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m**2 - 226. Let w(l) = 1330*l + 6. Calculate v(w(d)).\nAnswer: -5306700*d**2 - 47880*d - 334","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54645*-0.9991.\nAnswer: -54595.8195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 * 453550\nAnswer: 72568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 794916963?\nAnswer: 3, 43, 684683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + -1)*(0 + -3). Let u = -11\/4 + p. Let o = 0.1 - -0.4. Sort u, -1, o in decreasing order.\nAnswer: o, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -684 and -16.\nAnswer: -700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/10*7\/(105\/75)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120) - (sqrt(120) + (sqrt(120) + sqrt(120)*1)*1))\/sqrt(5))\/(4*((1*sqrt(144) + sqrt(144) + sqrt(144))\/sqrt(12) + sqrt(12))).\nAnswer: -sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.374 - -0.074. Let v = b + 0.9. Round v to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -151*v - 1080. What is the thousands digit of x(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2402.1 + 2294.67. What is j rounded to the nearest integer?\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -22, -31, -3 in increasing order.\nAnswer: -31, -22, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(550) - sqrt(550))*-5 + sqrt(550))\/(sqrt(22)\/sqrt(2)*-1))\/(-1*1*sqrt(250)*5).\nAnswer: sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 95*p**2 + 740*p - 897. Let n be s(3). Factor 66*r + 1\/2*r**2 + n.\nAnswer: (r + 66)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.44 times -557.4723?\nAnswer: -245.287812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (7 + -2 - (-7 - -7 - -6))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 5 - 12*c)*(7*c - 4*c - c).\nAnswer: -24*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -14. Solve -2*v - 3*v + 4*f = -20, -v + s = -3*f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 20*q - 12*q. Let y be ((-38)\/10 + -1)*-10. Let n = y - q. Calculate the remainder when n is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 12. Let j be 3*3\/(-9)*h. Let g(p) = -p**2 + p + 20. Let w be g(j). Solve 0 = -4*b - 0 - w for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and -40141.\nAnswer: -40141.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/163 or -0.0867?\nAnswer: 2\/163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 15) to base 13\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11009 + 13989. What is the greatest common factor of 20 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4d + 4?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 2059600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 16546*t**4 + 198554*t**3 + 347490*t**2 - 1621466*t - 196 = 0?\nAnswer: -7, -1\/8273, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 - 3*p + 2.\nAnswer: (p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*j**2 - 2*j**2 + 2*j + 11*j**2 - j**2 + 4*j - 4*j + (3*j - j - 3*j)*(2*j + 2*j - 2*j) - 2*j**2 + 5*j - 5*j.\nAnswer: -11*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 0*g - 2 + 0*g**3 + 1\/12*g**4 + g**2. Let b(t) be the second derivative of i(t). Let o(n) = -2*n**2. Determine b(o(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -155*b**3 + 2*b**2 - 5*b + 7. Is z(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*o**2*x**2 - 141215149*o**2 + 48013068*x**4 wrt x.\nAnswer: -4*o**2*x + 192052272*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5552 and 5584?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8.6356 and 27401.\nAnswer: 27392.3644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*n**3 - 465*n**2 - 3025*n\/4 - 625\/2.\nAnswer: -(n + 50)*(6*n + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 0, -2 in descending order.\nAnswer: 3, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-51)*(12 - 9). Which is the nearest to -0.4? (a) -0.4 (b) 0 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 57002.9 and 43?\nAnswer: 2451124.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-2))\/((-1)\/10). Suppose 0 = 2*n + 5*d + 21, 0*n + 5*d = -h*n - 15. Which is smaller: -1\/6 or n?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38743.\nAnswer: 17, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1\/k**0*(k**0)**45)\/((k\/(k*k**1\/k*k))**(8\/9)*(k\/(k\/k**(2\/5)*k))\/k*k**(-2\/3)) assuming k is positive.\nAnswer: k**(187\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 101010111101011110000101?\nAnswer: -101010111101011110001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 s when four letters picked without replacement from {f: 5, s: 7, x: 2}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of s**6\/2340 + s**5\/780 - 2*s**3\/3 - 7. Let o(b) be the third derivative of q(b). Factor o(c).\nAnswer: 2*c*(c + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -330*m**2 - 74250*m + 60. Calculate k(-225).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 9*a = t - 17, 3*a + 102 = 4*t. Let l(y) = y**3 + 7*y**2 - 2*y - 2. Calculate the lowest common multiple of l(-7) and t.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10058490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2550305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 277952 or 277973?\nAnswer: 277952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 220, 5.\nAnswer: -11, 5, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u**2 - 2*u - 2. Let w be k(-2). Let l be 0 - 4 - w\/2. Let x = -11 - l. Solve x*f + 9 = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + w**2 - 3*w + 701. Is j(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 6\/31 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 16.14. Let x = -0.6 - o. What is x rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4*q**2 - 1)*(23*q**3 - 12*q**3 - 24*q**3).\nAnswer: 52*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 451*p + 9716. Calculate t(-21).\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(3120\/50)*24\/15?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-535)\/(-30) - (0 + 3). Let k = h - 40\/3. Let y = 0 + -4. Which is the biggest value? (a) -1\/9 (b) k (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 5*l + 14, -7 = 3*c + 4*l - 0. Let r = 135 - 942\/7. What is the third biggest value in 0.2, c, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 9 = 2*d - 0, 4*f = -4*d + 8. Suppose 1 = -r, -d*u + 0*r + 2*r = -2. What is the tens digit of (-2)\/(4\/(-54) - u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-36)\/176)\/((-8)\/((-64)\/12)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2783*g = 2764*g + 171 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t + 20715 - 20697 = -13*b, -5 = -5*b - 5*t for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -6. Suppose -o*x = -x. Solve x = -4*i + 7 + 9 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525449707 to the power of 1\/2, to the nearest integer?\nAnswer: 22923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5250471743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -11c?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i**2 - 30*i. Let h(s) = -7*s**2. Give p(h(w)).\nAnswer: 196*w**4 + 210*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/8)\/(-3 + (-18)\/(-16)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1483*p + 4117*p + 1728*p + 2378*p.\nAnswer: 9706*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 121132729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-8)\/((b*b**4*b)\/b)*(b*b**(3\/4)*b)\/b**(-8)*(b*b**(3\/5)*b*b\/b**(-8)*b)**(3\/32) assuming b is positive.\nAnswer: b**(-171\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16395 and 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -943*i + i**2 + 921*i + 4*i**2. Let n(l) = l**2. Calculate n(x(y)).\nAnswer: 25*y**4 - 220*y**3 + 484*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1234067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - 2 + 5)*(-2*g - g + 2*g) - 1 - 2*g + 1 + 5*g - 3*g - 4*g)*(-32 + 32 - 4*g) to the form f*g + u + v*g**2 and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/2529175 and 93\/919700.\nAnswer: 10116700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 6*f = f - 45, -2*f + 10 = 5*v. Let n(d) = -6*d**3 + 3 - 2 - v*d**3 - d**2. Is n(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2588, -5182, -7778, -10376, -12976, -15578?\n\"Answer: -b**2 - 2591*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - z - 2*z)*(-4 + 9 + 7) - 2*z + 4*z - z + 0*z - 3*z + z.\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 58546526 to the power of 1\/2, to the nearest integer?\nAnswer: 7652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.43318, -0.5, -1, -0.9 in descending order.\nAnswer: -0.43318, -0.5, -0.9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/22)\/(1\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejpl when four letters picked without replacement from {l: 4, e: 1, p: 2, q: 1, j: 2}?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - 2. Let x(a) = -a - 2. Let g be x(n). Let m = -0.032 + 13.032. What is the smallest value in m, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 15) to base 10.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, -29, 23, -6.\nAnswer: -29, -6, 23, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21544, -21533, -21512, -21481, -21440?\nAnswer: -21389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**2 - 6*d - 3*d**3 - 117 + 60 + 2*d + 56 as i*d + z*d**2 + u + w*d**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 583224643 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*p = 220. What is the remainder when p is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -6*d**3 + d**2 + 150*d + 3. Determine f(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -82 - -d63?\nAnswer: cd1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 42179342 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/18109 and -58\/28457?\nAnswer: 199199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.897192 rounded to 3 decimal places?\nAnswer: 3.897","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*l**2 + 0 - 111*l**2 + 0 to the form k*l**2 + s*l + o and give k.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 652 + -637. Suppose 0 = -16*c - j*c - 248. Which is smaller: c or -6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58728651?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (8 + -4 + -6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 17 - 5. Solve -l*f + 5*j = -28, -f - 2*j - 6 = -0*j for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 1332?\nAnswer: 6660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7804 divided by 2?\nAnswer: -3902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39827 - -91876. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9068 from 1530.4.\nAnswer: -7537.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-1084.\nAnswer: -216.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 17. What is the closest to -2 in -5, -3\/2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -219 - -219.01175. Round p to 4 decimal places.\nAnswer: 0.0118","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 times 0.4\nAnswer: 19.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 4:49 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rmffncnnn. What is prob of sequence fnfr?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*h - 3*d - 8, -2*h - 6 = 5*d. Sort h, -69, -1.\nAnswer: -69, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 338\/5 - 78*u - 2\/5*u**3 + 54\/5*u**2 = 0.\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a + 5. Let n = 5 - 1. Let f be p(n). Let s = f + -7. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 5*d = -35, -b - 3*b - 3*d + 35 = 0. Suppose 16*n - b*n - 32 = 0. Solve -20 = 3*m - n*f, 5*m + 9 + 13 = f for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -783 - -1444. What are the prime factors of h?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 1 = w, -2*i = 2*w - 49291 + 49281 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10131331121 (base 4) to base 5.\nAnswer: 244440124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-54))\/(1\/4). Let t be (2\/(-3))\/((-2)\/(-9)). Let q be 3\/6*1\/t. What is the second biggest value in -2, y, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 11:41 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43 - -25) + 16 + 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + l)*(3 - 3 - 1) + 0*l + 0*l - l - 6*l + 3*l + 0*l + (4 - 2 - 1)*(3*l - 4*l - l) to the form x + q*l and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1091.84 + -1089. What is s rounded to one dp?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94038977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0615 and 0.063.\nAnswer: 0.0038745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4\/13 - 3288*t**3\/13 - 9876*t**2\/13 - 760*t - 3294\/13.\nAnswer: 2*(t - 1647)*(t + 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 16 - 4 = 0. Suppose 0 = -7*w + 2*w + t. Suppose -w*i + 31 = 3. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**3 - 4*q**2 - 320*q + 1792 = 0. What is q?\nAnswer: -14, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(1*sqrt(5)))\/sqrt(12).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -5 + (-140)\/(-21) + 11975\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 717 is divided by 103?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -9) + (0 - 17)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -3, 0.5, -348, -4, 1, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllllllfllff. Give prob of sequence lf.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (27 - 47 - -4) + (-6 - 0) + 0?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -11*c - 6. Let i(p) = 45889*p + 11 - 45877*p - 4. What is 4*i(k) + 5*m(k)?\nAnswer: -7*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and -421991.\nAnswer: -421990.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3766+385353\nAnswer: 381587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i + 12*i + i + (-5 + 4 + 2)*(-i + 0*i + 3*i))*(-497 + 497 + 14*i**4).\nAnswer: 266*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 q, and 1 u when four letters picked without replacement from iqqqquqiiqdqiqq.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 11:13 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139*2.\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 275888600 to the nearest integer?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {g: 2, a: 1, p: 2, v: 1, k: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/3 + (-1)\/2. Let d = 59 + -183. Let i = 121 + d. Is x less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from addadaaaadddaadadd. Give prob of sequence aaa.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9465875 litres in millilitres?\nAnswer: 946.5875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110200.\nAnswer: 2, 5, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 q, and 1 i when four letters picked without replacement from {q: 8, i: 2, c: 2}.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d*x**2 + 62312*d*x - 18*d - 6296987*x**2 wrt x?\nAnswer: -2*d - 12593974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeze when four letters picked without replacement from {f: 4, t: 10, z: 3, e: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 11*n + 15. What is i(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, k: 2, j: 1, a: 1, t: 1, w: 1}. Give prob of picking 1 w and 1 t.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*p**(-1\/13)*p*p**(2\/3)*(p**(1\/3))**13 assuming p is positive.\nAnswer: p**(103\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 337693599 to the nearest integer?\nAnswer: 18376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 1810*i**3 + 1814*i**3 + 1809*i**3 - 10*i**2 - 7254*i**3 - i + 1818*i**3 as v*i**2 + w*i**3 + k + f*i and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 956550 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/3, -42\/23, -7.5 in ascending order.\nAnswer: -7.5, -42\/23, -1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16273217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*s**4 + 0*s**2 + 2*s - s**2 + 14*s**4 - 3*s**3 to the form a*s**4 + j + b*s**3 + t*s**2 + m*s and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1392 - 1397. Sort 436, -2, p.\nAnswer: p, -2, 436","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 8 = -w, -4*w = -4*t + 3*t - 11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + (sqrt(119) - (sqrt(119) + -3*sqrt(119))))*2*-4)\/((sqrt(525) + (5*sqrt(525) - sqrt(525)))\/sqrt(3)).\nAnswer: -32*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12405051 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33.4425 or -397?\nAnswer: -397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43\/32545 or 1?\nAnswer: 43\/32545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*z - 8 = 0, -2*l + 3 - 15 = 3*z. Suppose l = s + 5, -4*u + 40 = u - 5*s. What is the lowest common multiple of 14 and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b - 68. Let u be n(26). Solve -g = -13*g - u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w**2 + 12*w. Let b(v) = 11*v**2 + 34*v. Let u(f) = -6*b(f) + 17*x(f). Let g(l) = -5 + 5 + 0 - 27*l**2. Give g(u(h)).\nAnswer: -108*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-36)\/8)\/((-6)\/(-8)). Let o(m) = -m**3 - 6*m**2 + 8. Determine o(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 69 = 5*u - 1624, u - 4 = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p + 17*p - p - 7*p - 18*p.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*q - 16*q - 37*q - 26*q.\nAnswer: -20*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1725 + -1720. Let n(q) be the second derivative of 0*q**4 + 0*q**3 + 0 - 7*q**2 + 2*q + 0*q**s + 7\/15*q**6. What is the first derivative of n(j) wrt j?\nAnswer: 56*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -737 (b) 0.3 (c) 3 (d) -1\/8 (e) -1\/3 (f) -12\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 10:35 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/24)\/((-4)\/(-36)*-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lklkylylylll. What is prob of picking 2 k and 1 l?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.28678727 to four decimal places.\nAnswer: -0.2868","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6876236 less than -0.0350394?\nAnswer: 6876235.9649606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) 57\/4 (c) -5 (d) -3 (e) -14\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 170*n**2. Let a(h) = -10*h**2. Give m(a(c)).\nAnswer: 17000*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*a - 56 = 59*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4 + f + 5 + 2 - 2. Is 5 a factor of t(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 7*r**2 + r + 7. Let d be k(-7). Let x(z) = -2*z + 583. Is x(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0707 - -2.9293. Let j be 1 - (-1 - 6\/(-2)). What is the closest to j in 4, 9, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160625471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 9:50 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1501823567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v + 3*v**2 + 3*v**2 + 0*v**2 - 4*v**2 - 37313*v**3.\nAnswer: -37313*v**3 + 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -59314 (base 10) in base 6?\nAnswer: -1134334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(6776\/33)*329\/846.\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u**(-3\/7)\/u))\/u)\/(u**(-2\/11)*u)*(u**(1\/2))**(-26))\/((u\/(u*u**(-2\/7)))**(4\/29)*u**(2\/5)\/(u**(1\/5)*u)) assuming u is positive.\nAnswer: u**(-129838\/11165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12287 - 8574. What are the prime factors of z?\nAnswer: 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-3)*(5 - 8 - -6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5\/24 - -1\/3. Let x = -18.4 + 18.9. What is the third smallest value in x, -2, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49794 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3060.3 + 3293. What is m rounded to the nearest ten?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11\/4 - 1 - 3\/4. Let m(u) = -u**2 - z + 1 + 0. Let r(s) = 36*s**2 + 2. What is m(r(o))?\nAnswer: -1296*o**4 - 144*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9431 - 9414. Solve 5 = p*y + 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1884387, -1884388, -1884391, -1884396?\nAnswer: -1884403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 38918 and -29.9147.\nAnswer: 38888.0853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19095 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 -123*g + 2*d - 17476 = -127*g, 3*d = -2*g + 8730. What is the highest common divisor of 141 and g?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 616668*x - 4. Let t(q) = q**3 + 10*q**2 + 8*q - 6. Let m be t(-9). Let y be b(m). What is y rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40709 + 41205. What is the highest common divisor of 272 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i - i**3 - 2 + 1 - 2*i**2 + 0*i**2. Let z be (-1)\/(-3) + (-4)\/3. Let s be d(z). Solve 5*r - 15 = -s*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66 - -178. Let k be 2\/(-7) + 172\/r. Which is the closest to 0? (a) 5 (b) k (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1874535.\nAnswer: 3, 5, 13, 9613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**5\/20 + 23*u**4\/36 + 5*u**3\/18 + 3*u**2\/2 + 7*u + 180. Let n(h) be the second derivative of q(h). Factor n(s).\nAnswer: (s + 5)*(9*s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(-3 + 2))\/(-12 - -11). Suppose m = -7*t + 75 - 12. What is the remainder when t is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 14, w: 5}. Give prob of sequence wr.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/3, -0.0169, -0.6943?\nAnswer: -0.6943","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2257 + 2260. Put -2, -4, -7, a in descending order.\nAnswer: a, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -6. Let o(m) = -7*m**3 - m. Let n(d) = 13*d**3 - d**2 + 3*d. Let g = 12 - 17. Let v(w) = g*o(w) - 2*n(w). What is v(p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2408 - -3494. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -86.7 - -87. Which is the third smallest value? (a) -0.008 (b) u (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -0.049?\nAnswer: 0.0147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -5. Let x = -726.824 - -731.824. Which is the closest to 0? (a) 0.5 (b) x (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1072266*b**6*g**3 - 28*b**2*g**3 - 5*b**2*g**2 - 8*b*g**3 - 16*b*g**2 wrt b.\nAnswer: -128671920*b**3*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5231, 5211, 5177, 5129, 5067, 4991, 4901?\n\"Answer: -7*f**2 + f + 5237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 437*j**3 + 235*j - 86*j - 79*j - 78*j.\nAnswer: 437*j**3 - 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 - -25.52. Let k be ((-15)\/117)\/((-255)\/(-306)). What is the third smallest value in s, k, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 11:23 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 10*v**2 - 4*v + 2. Let d be p(2). Suppose -5*b - 753 = -20*h + 16*h, 3*b + 564 = 3*h. Calculate the greatest common divisor of h and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110110010 + -1100101000001111?\nAnswer: -1100110111000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o**2 + o**3 - 5 + 2*o - 4*o + 8*o. What are the prime factors of b(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5620346 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: What is the remainder when 35 is divided by 18\/(-5)*15\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 + 29 = z. Solve z*y = -4*y - 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 637180563, 1.\nAnswer: 1, 4, 637180563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 16*m - 16. Let v be w(12). Suppose -2*d - 2*n = -84, 5*n - v = -d + 2*n. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61072076 by -26.\nAnswer: 2348926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 401892.2 milliseconds?\nAnswer: 401.8922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.3 (b) -167 (c) 0 (d) -0.1 (e) -0.051\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 223142697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*r - 1. Suppose i = -r*i + 48. Suppose -65 = -3*f - 8*h + 3*h, 2*h = 5*f - 160. Calculate the remainder when f is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 954 < 1635?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -234652, -234650, -234648, -234646, -234644, -234642?\nAnswer: -234640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -107 + 117 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 2. Let o(q) = -q + 3. Let a(f) = 3*c(f) - 2*o(f). Let p(h) = h + 8. Let t be p(-6). Let d(s) = t*s + 4*s + 2*s - 6*s. Determine a(d(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (4 - 14 - -15) - 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1448400 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -368012, -734749, -1101486?\n\"Answer: -366737*s - 1275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 180824232?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 49 (b) -18 (c) -0.003\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 115066 (base 8) to base 11\nAnswer: 2772a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 3*u - 13. What is the remainder when 105 is divided by q(-8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 380470538059472977\/263296 + -1445029693041. Let w = h - 1\/15488. Let j = w + -10\/17. What is the closest to 0.1 in j, 2\/17, 0?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*b + 25 = -41*b, 4*x + 14 = 2*b for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f + 3*f - 3*f)*(0 + 0 - 3)*(-40 + 196 - 89)*(-1 + 2 + 1) to the form b*f + v and give b.\nAnswer: 1206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2417029*b**4 - b**2 - 10*b - 18252 wrt b.\nAnswer: 58008696*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + g - 26 = 0, 0 = -3*l + 2*g + 31 + 22. Let t = 15 + 45. What is the greatest common factor of l and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwbuwwgbwbbgw. Give prob of sequence ugw.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19550 = -2*z - 3*z. Let u = z + 108. Let o = u + 10402. Round o to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -122*o**4*w - 3*o**3 + 2*o**2*w**3 + 1658*o*w**3 wrt o.\nAnswer: -1464*o**2*w - 18*o + 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 771143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -0.0902, 178 in increasing order.\nAnswer: -2\/5, -0.0902, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 78, 57, 22, -27, -90?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 8*f. Let l(a) = -10822*a**2. Calculate v(l(x)).\nAnswer: -86576*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 510 - 40. Is 79 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 9*a**2 + 9*a + 16. Suppose -3*b + 0*b - 24 = 0. Let f be i(b). Let y be ((-42)\/(-35))\/((-2)\/(-15)). Do y and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9083.4 take away -0.1?\nAnswer: 9083.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -160, -1278, -4318, -10240, -20004, -34570, -54898, -81948?\n\"Answer: -160*l**3 - l**2 + 5*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, h: 1, j: 1, f: 1, q: 4}. What is prob of sequence jeq?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.109749485 rounded to five dps?\nAnswer: -0.10975","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 50347 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/5 (b) 0.2 (c) 0.37 (d) 0.1 (e) -485\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 5*p - 19, 20 = -4*p + 4. Which is greater: -2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 8*n**2 - 9*n + 2. Give h(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(1*(-2)\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -6. Let u(r) = -2*r - 5*r + 6*r + 1 + 18*r. Determine u(t).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1, -18, -47, -86, -135, -194, -263?\n\"Answer: -5*q**2 - 4*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5431.321 to the nearest 10.\nAnswer: 5430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 230, 898, 2012, 3572, 5578, 8030?\nAnswer: 10928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14141 (base 7) to base 2.\nAnswer: 111100001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f**2 - 5*f + 2. Let i(k) = k**2. Let a(o) = 6*i(o) - r(o). Let g be a(2). Let l = g - 6. What is the remainder when 22 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61727 by -640.\nAnswer: -61727\/640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/8 - 300\/(-80). Let y be ((-6)\/28)\/(b\/(-8)). Solve y*p**2 + 9\/7 + 15\/7*p - 3\/7*p**3 = 0 for p.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3110*i - 2680*i + 2225*i.\nAnswer: 2655*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7196, 7153, 7108, 7061, 7012, 6961, 6908?\nAnswer: 6853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-7680)\/68)\/16 + 2\/34\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 4. Let q be -7 - -4 - (-48)\/(-2). Let x = -3 - q. Solve 4*d + x = 4*p, d = -c*p + p + 10 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d**3 - d**3 + 14*d**3 + (-2 + 7 - 3)*(d**3 + 3*d**3 - 5*d**3) + 5*d**2 - 2*d**2 + d**3 + 0*d**2 to the form r*d + y + n*d**3 + m*d**2 and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -154234 + -2?\nAnswer: -154236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6630 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 b when two letters picked without replacement from {e: 1, p: 2, b: 8, q: 2, l: 1}.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 9:21 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 2*b + b)*(7 + 1 + 0) - 3*b + 2*b + 2*b + (-2 + 4 + 0)*(2*b - 4*b + b) + 1 - 4*b + 2*b + 0*b.\nAnswer: 13*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 4*x - 335, x + 2*d + 0*d = 86. Let q(h) = h + 6. Let l be q(-5). List the prime factors of (l - -3) + -7 + -1 + x.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z - 250 = -30*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 4*y + 5, -1 = -y - 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + -2 - (0 + -3). Suppose -1 = -2*p - m*v, 3*p - 4*v + 3*v - 18 = 0. Suppose 4*h = -20, 4*n - p = -h + 2. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a meter in centimeters?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6047, 18897, 31747, 44597?\nAnswer: 57447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - -85. Is a a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 80319 - 27692. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**4 - 154*i**3*o**2 + 34*i**2*o**2 - i**2 wrt i.\nAnswer: 48*i - 924*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -3\/7, -1.8, 1\/3, 2 in descending order.\nAnswer: 2, 1\/3, -3\/7, -1.8, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 31 = 4*w, -4*w - z = -6*z - 41. Suppose o = -3*c + c + 62, 0 = w*o - 3*c - 204. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 34, 66, 98, 130?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**3 + 69*y**2 + 66*y = 0.\nAnswer: -22, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by 175.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 41, 34, 43, 74?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 2. Let t be (-11)\/(-2) - 5\/10. Solve -t*q - b - 5 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 4:40 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1908 = -206*v + 203*v. Suppose z - v = 647. What are the prime factors of z?\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2016 = 6*s. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) 0.8 (c) 2\/5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 9315007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -12. Let v = 0.41 - -4.59. Which is the second biggest value? (a) r (b) -0.5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70684.812s in days?\nAnswer: 0.81811125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1323440 (base 6) to base 15\nAnswer: 16b2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let t be 39\/(-9) + 2\/6. Suppose -17 = 5*q + 3*z, -4*q + 25 = -9*q - 5*z. Let j(p) = -3*p - 2. Let o be j(q). Put o, t, -2 in decreasing order.\nAnswer: o, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 854*p**2 - 25*p**2 + 1081*p**2 - 244*p**2 + 25 - 19*p wrt p?\nAnswer: 3332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98999.25 centuries to decades.\nAnswer: 989992.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2*18\/16 - -2)*(-8121731 + -137) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -227, -485, -743, -1007, -1283, -1577, -1895, -2243?\n\"Answer: -y**3 + 6*y**2 - 269*y + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48528 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 divided by 38?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 6) + (1 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 5*c**2 - 4*c - 9. Let k be u(6). Suppose w = 4*w + k. Let l(o) = 8*o**2 + o. Determine l(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -4*k - 246. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2807\/17 + 165. Let o = 78\/125 - 3\/125. What is the closest to -1\/3 in d, -1\/3, o?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 23*g + 3. Let r be b(8). Suppose -2*v + v + r = 0. Let c = 45 - 28. What is the greatest common divisor of v and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*q**3 - 5*q**4 - q**3 - 3*q**3 + q**2 wrt q?\nAnswer: -120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123, 207, 253, 261, 231, 163?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -8 + 1 + u**3 + 5. Determine v(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -47847653+-4986327\nAnswer: -52833980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-410)\/70 + -2 + 7.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 3*u - 153. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 10261080.\nAnswer: -10261080.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11, -44, -97, -170, -263, -376, -509?\n\"Answer: -10*d**2 - 3*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16 - -378?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/8 and 115\/10362036.\nAnswer: 20724072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a millennium in years?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*(-2 + 3) + 1. Let y = o + -3. Suppose -v = y*v - 644. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 13 - (2 + (-303)\/(-27)). Put m, -5\/6, 0.19, -0.3 in decreasing order.\nAnswer: 0.19, m, -0.3, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n**2 + n**2 - n**2)*(1813 + 2465 - 1634) to the form f + t*n + g*n**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k = -22*k + 3. What is the tens digit of 10 + -11 + 168 + -2*k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86301 and 12169.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + (-1*2*sqrt(88) - sqrt(88) - sqrt(88)) - sqrt(88) - sqrt(88))\/(sqrt(600)\/sqrt(3)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3 + 0 + 115\/6 and -2\/13.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.936 + -14.936. Let o = 0.2 + -0.3. Put u, 0, o, 0.4 in decreasing order.\nAnswer: 0.4, 0, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 0 + 15. Suppose -3*v + 5*h = -55 - 79, -138 = -3*v + k*h. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in millimeters?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 124602133 to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4449 (base 11) to base 10\nAnswer: 5861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 2*i + 4 + (2 - 5 + 1)*(2*i + 2*i - 5*i) - i + i - 3*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5\/3, 3415\/7, 4, 0.7, 56?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -65735 divided by -3?\nAnswer: 65735\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2684426 and 3060388.\nAnswer: 5744814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 6:28 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-6)\/h))\/h**(2\/5))**(-50)\/((h\/(h*h*h**(-1)))**(1\/23)\/(h\/h**(-4)*h**(-8)\/h)) assuming h is positive.\nAnswer: h**(-384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1369*i = 804*i - 565 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 82 + -54. Let t = b + -14. What is the greatest common factor of 154 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**15*v*v**(-1\/5))\/(v**(-7)*v)**(-4\/9) assuming v is positive.\nAnswer: v**(197\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -513 divided by 69?\nAnswer: -171\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-304)\/4446 + (2 - 28\/13)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a minute in milliseconds?\nAnswer: 97500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*v = -145 - 215 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 4*t**2 + 2*t + 3. Let n be w(-4). Let y = 6 + n. What is the lowest common multiple of 12 and 1 + 0 - (y - 6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8, -1, 12, 31, 56?\n\"Answer: 3*i**2 - 2*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(3\/5)*y)\/y)**(-5) assuming y is positive.\nAnswer: y**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6397\/2 - -16038\/5. Calculate the common denominator of 47\/4*(-1)\/(-5) and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2053 - 1183. Let m = 886 - u. What is the remainder when 53 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11 and -11.709904.\nAnswer: -22.709904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -72 - -108. Solve 4*b - m = -5*p, -12 - 12 = -5*b - p for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w**2 - 8*w + 4. Let y be g(4). Let a = 133 - y. Suppose -a = -7*i + 4*i. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g = 14*g. Suppose 0 = -4*m + u - 0*u + 205, g = -u - 5. Let o be m + -3 + -1 + -3. Calculate the greatest common factor of o and 301.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pce when three letters picked without replacement from {e: 1, p: 1, c: 2, x: 1, o: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83532, -83559, -83624, -83733, -83892?\nAnswer: -84107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 3*x + 16 - 4 = 0, 9 = h + 2*x for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 20 = 3*l - 5*l, l = -w. Let i(k) = -1. Let d(p) = -3*p + 5. Let u(t) = d(t) + 5*i(t). What is the tens digit of u(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24.03 - 24. Let a = 9.97 + o. Let z = -9.946 + a. What is z rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*g - 4. Let z(l) = 1. Let m(w) = -w**3 + 2*w**2 - 3*w + 4. Give g*m(k) + 4*z(k).\nAnswer: k**3 - 2*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*p = 19, -3*f + 4*p + 0*p = -9. Let l(s) = -s**3 + 8*s**2 - 10*s + 21. Let t be l(f). Which is smaller: 5\/6 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 2*g - 2*g)*(2*g - 3*g + 0*g) + (-3*g**2 + 0 + 0)*(37 - 126 + 727).\nAnswer: -1911*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(243) + 1 + sqrt(243) + sqrt(243) + 0)**2 + (sqrt(1452)*-2 - sqrt(1452) - sqrt(12))\/sqrt(4).\nAnswer: 20*sqrt(3) + 2190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67182.01ns to milliseconds.\nAnswer: 0.06718201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 26710483.\nAnswer: -9\/26710483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30075 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4699*l**2. Let k(m) = -6*m + 7. What is k(b(a))?\nAnswer: 28194*a**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160) - (2*sqrt(160)*-5 - sqrt(160)) - 2*2*sqrt(160))\/(-2*(sqrt(392) - (sqrt(392) - (sqrt(392) + (-1*sqrt(392) - sqrt(392))))) - 4*2*sqrt(392)).\nAnswer: -8*sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 14*m = 11*m - 26, -3*m = 6 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zgl when three letters picked without replacement from lztgptt.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1084864.8589 + 1084938. Let r = 73.1 - k. Round r to 3 decimal places.\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - (-100 - -38)) + -24?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 9.728. What is c rounded to two dps?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -9. Let w be -4*(2 - 18\/u). Does 25 divide 3 + -5 - (-52)\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/32*-78)\/((-18)\/24).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {k: 11, h: 2}?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w - 6. Let j = -8 + 17. Let l be p(j). Let d = l + -12. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*q + 5*y + 22, -5*q - 4*y = -14. Let z = -8 + q. Let c(r) = r**2 + 2*r - 1. Let g(v) = -5*v**2 - 8*v + 5. Calculate z*g(p) - 9*c(p).\nAnswer: p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + o**2. Let w be p(0). Let v(d) = -13*d + 171. Let f be v(13). Solve w = -6*t + f*t - 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 12*m + 16. Let w be u(11). Suppose 2*n - k - 3 = -1, 5*k = w*n. Solve n*q = -6 + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2. Let s(w) be the third derivative of -w**4\/6 + 13*w**2. What is s(t(b))?\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 4*m = -108, 6*t - 8*t + 172 = 33*m - 30*m + 66 for t.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 26?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*u, 0 = -6*v + 10*v + 3*u + 28. What is the nearest to 2 in 1\/4, 104, v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a gram in milligrams?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-25)*q*q*q*q**(-21))\/(q**12\/(q*q\/q**(4\/15)*q)))**(-1\/14) assuming q is positive.\nAnswer: q**(19\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(-1\/14))\/n)\/(n\/(n\/(n\/n**(-1\/21))))*(n**(-9)*n)**(-50) assuming n is positive.\nAnswer: n**(16795\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = 68*o + 120. Sort 25, 4, o.\nAnswer: o, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-4) - (0 - (-1)\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 9. Let x(l) = 2*l**w - l - 5*l**2 + l. Let d(i) = -10*i + 14. Let v(y) = -2*y + 3. Let t(o) = 3*d(o) - 14*v(o). What is x(t(h))?\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -c**4\/4 + 7*c**3\/3 + 4*c**2 + c + 9. Let b be q(8). Suppose b + 9 = 5*g. Solve 2*s = 2*p, g*p + s = 20 - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170367 is divided by 785.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8927365, -35709480, -80346337, -142837936, -223184277, -321385360?\nAnswer: -437441185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -221\/9 - -937\/18. Calculate the common denominator of m and 139\/(-12) + 2 + (-20 - -11) + 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of q**4\/4 + 5*q**3\/3 - 7*q**2\/2 - 4*q - 1. Let w be u(-6). Calculate the remainder when (-6 - -4)*(-13)\/w is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037 a factor of 261539438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -0.3. Let w be 56\/(-14) + 4*2. What is the third smallest value in w, 0.2, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 267 and 356.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 480 + 195 = 75*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.24 - -0.34. Which is the closest to 1? (a) 0.03 (b) -0.2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -631? (a) 4\/5 (b) -1\/6 (c) -2\/9 (d) 9 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3331\/4 + 833. Which is the closest to j? (a) 59 (b) 3 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7d12c (base 14) to base 11\nAnswer: -19901a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 50 = 3*i + 2*v, -4*i = 4*v + 28. Let r(o) = -3*o**2 - 896*o + 5489. Let k be r(6). Sort 1, -5, i, k in descending order.\nAnswer: k, 1, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 32*j - 16. Let d be g(26). Suppose 4*i + i - d = 2*z, -25 = 5*z. Let t be i\/((-78)\/(-18) + -4). Does 79 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 9*g**2 + 17*g - 38. Let j(p) = 3*p**2 + 6*p - 13. Let u(b) = -17*j(b) + 6*t(b). Find the first derivative of u(i) wrt i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 374.9 and -0.1.\nAnswer: -37.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a - 2*a**2 + 2*a. Let k(i) be the second derivative of 216*i**4 - 5*i**3 - 213*i**4 + 5*i**3 + 19*i. Give c(k(v)).\nAnswer: -2592*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 78 - 384 = -h, 0 = -5*h - 3*p + 1581. Let i = h - -171. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6417, 7209, 8537, 10401, 12801?\n\"Answer: 268*t**2 - 12*t + 6161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 = -3*h - 3*i, -4*h = h + 4*i + 280. Let s = h - -50. Is s greater than or equal to -5\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 230*c*j**3 + 114*j**3 - 2*j wrt c?\nAnswer: 230*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 272*z**2 + z**3 - 263*z**2 + 10*z + 4 - 2*z**3. Suppose 170*c = 167*c + 30. Calculate f(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 3:11 AM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3472 is divided by 389.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 2*j**3\/3 + 7*j**2\/2 - 13*j + 6384. What is p(3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -2\/33, 1.3, 8, 5, 4 in increasing order.\nAnswer: -2\/9, -2\/33, 1.3, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2, -5, 0.4, -380 in increasing order.\nAnswer: -380, -5, -2, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2985)\/(-4) - 6\/(-8) - -2. Let p = -272 + v. Suppose -4*k = -5*d - p, -3*k - d = -k - 249. List the prime factors of k.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.4 and -92.\nAnswer: 956.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {t: 7, o: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3832*h - 39. Is f(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, 5, 1\/4, 143, 47, 0?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 3*v = -1 - 2 + 2, 0 = -9*r - 5*v + 10*v - 47 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 6 = -5*p - 1, 0 = 4*f + 4*p - 36. Let n be -16 + 18 - 5*1. Sort f, -4, n, 4 in increasing order.\nAnswer: -4, n, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/(-63) - 38\/(-9). Let i(s) be the first derivative of 0*s + 0*s**2 + 1\/16*s**f + 1 + 0*s**3. Let i(m) = 0. Calculate m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2577, -4975, -7371, -9765, -12157, -14547, -16935?\nAnswer: -19321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 n when two letters picked without replacement from {v: 3, e: 1, g: 2, z: 1, n: 12, d: 1}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a - 2. What is d(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 196 + -182. Suppose -29*k + 6493 = y*k. What is the remainder when k is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 64116*x**5 - 649*x**3 + 3845533*x**2?\nAnswer: 3846960*x**2 - 3894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, r: 3, s: 4, o: 6}. Give prob of picking 1 r, 1 o, 1 x, and 1 s.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(648) + 3 - (sqrt(66)\/(sqrt(11)*-1))\/(-2*sqrt(27)).\nAnswer: 6 + 107*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a**4 - 4*a**4 + 0*a**4 + (156 - 992 + 281)*(a**4 - 1 + 1) + a**4 + a**4 - 4*a**4 in the form v*a**3 + o*a + r + m*a**4 + n*a**2 and give m.\nAnswer: -558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28631107 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l*l**(4\/3))*l)\/(((l\/(l**(3\/2)\/l))\/l)\/l))\/((l\/(l*((l*l**(-1\/3))\/l)\/l))\/l)**(-2\/37))**(1\/39))**(3\/14) assuming l is positive.\nAnswer: l**(263\/40404)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 640, 2, -4.\nAnswer: -4, 1, 2, 640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 - 5 = -4*u. Suppose -j + 3*o = 0, 2*j - u = 4*o - 9*o. Find f, given that -4*f + 4*f + 4*f**2 - 3*f - f**j = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 21*n**2 + 4 + 5*n**2 - 32*n**2.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/(-14) - (-2)\/4. Suppose x = -5*t + 15 - 0. Solve 0 = t*p + 2*p + 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112806236 divided by -2?\nAnswer: -56403118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 397*n**3 - 3*n**2 - 3*n - 3. Let x(v) = -396*v**3 + 2*v**2 + 2*v + 2. What is 2*t(o) + 3*x(o)?\nAnswer: -394*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(14))\/((sqrt(77)*-2)\/sqrt(11) - sqrt(7)) + (sqrt(6) - -2*sqrt(294))\/(sqrt(12)\/sqrt(4)*1) + -2.\nAnswer: -2 + 44*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide (21131*1 - -1) + (-23)\/((-161)\/(-28))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10023 + 231?\nAnswer: -4242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, m: 1, v: 10, e: 2, f: 3, s: 1}. What is prob of sequence lvvm?\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g + 10*g + 5*g + 9*g**2.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and -115529964356?\nAnswer: 115529964355.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**2 + 503*p**3 - 257 + 2*p**2 - 501*p**3 - 45.\nAnswer: 2*p**3 - 4*p**2 - 302","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 v when two letters picked without replacement from {k: 1, v: 2, h: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 2223118.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133130.8 millilitres to litres.\nAnswer: 133.1308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13941\/(-27)*(-5 - -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 - (-4 - (-22 - -5 - -5)). Suppose 0 = -3*n + 8*n - 25. Put p, 4, 1, n in descending order.\nAnswer: n, 4, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*a*l*z + 445*a*l - a*z - 2*l*z + 258*z + 16 with respect to z.\nAnswer: -8*a*l - a - 2*l + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o**2 + 3*o + 3. Let n(q) = q**2 + q + 1. Suppose 15 = 5*x, -126 = -4*i - 2*x + 40. Let c = 7 + -53. Let r = c + i. Calculate r*n(l) + 2*g(l).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 6*d**2 + 22*d - 100. Determine c(-12).\nAnswer: 500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 386569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03233 minus -6.2368?\nAnswer: 6.20447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 0 + 0*a**2 - 1\/4*a**5 + 2\/3*a**3 + 0*a**4 - 7*a. What is the second derivative of s(i) wrt i?\nAnswer: -30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8a455 (base 14) to base 15\nAnswer: 696a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 3*v = -15*j + 26, 0 = -4*j - 0*j - 4*v - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -82*d - 24. Let q(o) = 56*o. What is q(z(y))?\nAnswer: -4592*y - 1344","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 8*w - w)*(0*w - 7*w + w)*(2 - 1 - 2).\nAnswer: 30*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -4*m - 3*f - 7, 4*f - 4 = -2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 162 and 234.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, 2 in decreasing order.\nAnswer: 6, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -951*f**4 - f**2 - 10*f - 423073 wrt f.\nAnswer: -3804*f**3 - 2*f - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12586365 and 0.01.\nAnswer: -12586364.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -35.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -212240 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1560 and 3488760?\nAnswer: 45353880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 930*d**2 + 937*d**2 - 1871*d**2. Let n(j) = -j**2 + 9*j + 13. Let g be n(10). Let t(p) = -5*p - 3 + g. Give y(t(o)).\nAnswer: -100*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 - 35403*s**2 - 814678*s - 4251120.\nAnswer: (s - 35426)*(s + 8)*(s + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-170)\/(-22) - (-10 + 5 - -13).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -10*j + 3. Let t be u(-2). Suppose -2*k - 2*k + 828 = 0. Calculate the highest common divisor of k and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11709518\/4616645 + -1\/167878. Let d = -2\/55 + y. Which is smaller: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(11) + 0)**2 - ((1 + sqrt(11))*4)**2.\nAnswer: -258 - 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 5*k - 91, -2*s + s + 32 = 2*k. Suppose -2*d - 2*f + s = -10, -d = 5*f. Let x = d - 10. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 149467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 2*j**2 + 2*j - 14. Determine h(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + 1.8. What is the closest to -0.1 in -4, n, -6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1686857581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281410?\nAnswer: 2, 5, 107, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2293*z**2 + 953*z - 1166*z**2 - 1125*z**2 to u*z**2 + p*z + c and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cec when three letters picked without replacement from {e: 1, c: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -a**4\/6 + 4*a**2. Let p(s) be the third derivative of 0*s**3 + 0 + 0*s + 5\/24*s**4 + 5*s**2. Determine c(p(i)).\nAnswer: -20*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3\/2 + 18273180*b**2 - 111303072317151*b\/2 + 111302999224443.\nAnswer: -3*(b - 6091059)**2*(b - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44 - 39 - 27*h + 37 - 48*h + 2*h - 3*h + 2*h + (0 + 0 - 2)*(2*h - 2*h + 2*h).\nAnswer: -78*h + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -25 - (4 - ((45 - 10) + -12 - 12))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 1 = 0, n + d = -4*d + 7. Let f be (3 - 4)*n\/26. Suppose 3*o + 92 = 3*p + 74, 5*o = p - 34. Are p and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*p**2 - 117*p**3 + 7*p**3 + 34*p**3 - 50*p**2 - 2 as v + k*p**2 + g*p + y*p**3 and give y.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 12*w**2 - w + 3. Let k(b) = 12*b**2 - b + 2. Let i(c) = 3*k(c) - 2*o(c). Let d(l) = -l**2 - 3*l + 17. Let f be d(3). Give i(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 6*b**2 + 10*b - 4. Let p be f(2). Let n = 16 - 13. Suppose y = 2*y - h - n, -3*h - 9 = 5*y. Solve y*m + 4*m - 16 = p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5443154 * 1.\nAnswer: 5443154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (-38)\/(-2) - 1. Let l be ((-6)\/15)\/((-2)\/f). Suppose l*p - h + 4*h - 164 = 0, h - 4 = 0. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15071 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 232 divide 43848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -71 + -46 + 46 + 15 + (-5 - 0)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10781357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 3. Let t(m) = -4*m**3 + 4*m**2 + m. Let h(x) = -25340321*x - 5*x**2 + 2*x**3 - 2*x**3 + 25340320*x + 5*x**3. Determine r*h(l) + 6*t(l).\nAnswer: l**3 - l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5804, -11615, -17438, -23279, -29144, -35039, -40970?\nAnswer: -46943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 88\/149?\nAnswer: 88\/149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -17*y + 16. Let o be b(3). Let j be 18\/5 + ((-84)\/o - 2). Does 8 divide j*8\/12*42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 507611 is divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-21))\/((-6)\/(-9)). Let j = -4 + -10. Let k = j + 13. Is k greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/6)\/((-2)\/6). Let j(f) = -2*f - 2. Let a be j(-7). Let m = z + a. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -2*p**3\/3 - 25*p**2 - 390. Solve y(s) = 0 for s.\nAnswer: -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -6. Let b = -3 + 5. Let v = b - -1. Sort -1\/3, v, r in decreasing order.\nAnswer: v, -1\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 377251.91 rounded to the nearest 1000?\nAnswer: 377000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2392\/39)\/((-2)\/(-6)) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -1\/144*v**6 + v + 0*v**3 - 1\/30*v**5 - 7\/12*v**4 + 0 + 0*v**2. Let a(x) be the third derivative of i(x). Calculate a(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -4. Let k = -1.47 + 0.47. Which is the smallest value? (a) -3 (b) s (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 3*v**2 - 11*v - 18. Let h be s(-2). Suppose -4*b - 6 = -5*f + 21, 4*f + 3*b - 34 = h. Calculate the remainder when 26 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -v**5\/30 + v**4\/3 - v**3\/2 - 5*v**2. Give y(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + 6. Let p be v(-17). Calculate the highest common divisor of 23 and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/10*(-135)\/(-27).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*b = 5*v - 10, -10 = -2*v - b. Suppose 2*q - 3*f = -6*f + 555, v*f = -25. Suppose -s + 380 = 2*i + 2*i, 3*i = -2*s + q. Is 20 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52796709 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3073 = 6*n + 50*n + 5563 - 2196 for n.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*4\/(-3) + -1. Let n(c) = -c**2 + 5*c + 16. Let a be n(x). Solve -15 = -4*f + 2*q + 5, 0 = -a*f + 2*q + 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from kllkklllllkklllkllk?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 146599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = 3*l - 4*z + 32, l + 24 = -5*z. Let y be ((-9)\/12)\/(l\/96). Calculate the common denominator of 37\/6 and (12\/y)\/((-2)\/(-41)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b + 45. Let a be j(15). Let r(x) = x**3 + 4*x**2 - 4. Let o be r(-3). What is the highest common divisor of o and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*v + 52*v + 3*z - 7, 0 = 3*z + 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 23 = 2*o + 4*x, o + 4*x + 5 = 0. Suppose -4*u - 2*g + 16 + 2 = 0, -4*g = u - 15. Suppose -4*f + u*f = o. What is the closest to f in -0.1, 1\/4, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 290 a factor of 39019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o = -13*o - 225. Calculate the highest common divisor of 495 and o.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 851 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 11:54 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-120)\/27)\/(66\/18*-3*32\/(-176))\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -149.4, -1 in decreasing order.\nAnswer: 1\/5, -1, -149.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2623 + 160 + 144 - 205)*(p - p + p) as k*p + q and give k.\nAnswer: -2524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 3. Let z(i) = 4*i**2 - 2*i - 1. Let c be (2 - 3 - -4) + -1. Suppose -c*l = 5*u - 3, u + 2*u - 13 = -4*l. Let d be z(u). Calculate y(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2332 - -54a?\nAnswer: -19a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j**3 + 359*j**2 + 818*j - 299. What is p(74)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/7 - 1371*a\/7 - 390.\nAnswer: -3*(a + 2)*(a + 455)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1230\/(-3444))\/((-15)\/(-12)))\/((-44)\/(-14)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (550\/975)\/((-12)\/(-52))?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98918?\nAnswer: 2, 49459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111, 272, 445, 630?\nAnswer: 827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -12, -17, -24, -33, -44, -57?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1091, 0 in descending order.\nAnswer: 0, -5, -1091","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*u - 58 - 102 = 0. Suppose 3*x + 2693 = 4*a, -3*a + 2020 = -x + u. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 30 = s + 5*g, -5*s + 30 = -3*g. Suppose -8*f + 5*f = -s. Suppose -6 = -q - f*q. Solve 0*j = -j + q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5 - 3*p + 3 + 0 + 3. Let j(x) = -4*x**2 + 2620 + 2640 + 7*x**2 - 5260. What is k(j(g))?\nAnswer: -9*g**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j + 3282554446*j**2 - 3282554446*j**2 - 6*j**3 - 2*j + 0*j.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 w when two letters picked without replacement from nxxwnnwxnnwxn?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.043 - -0.043. Let o = 25 - 43. Let v be (-4)\/18 - (-32)\/o. Which is the third biggest value? (a) v (b) j (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/3 + 16*n**2\/3 - 10*n\/3 - 28\/3.\nAnswer: -2*(n - 7)*(n - 2)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rdyyadyyaynyaadnany. What is prob of picking 2 a and 1 d?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-96)\/(-18))\/4*9\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48095869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -4*k - 4, 597*k - 4*r = 602*k + 16 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -176704 by 32.\nAnswer: -5522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-852)\/14)\/(-6) + -10?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35113 - 3145 = 1034*o for o.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -18.5 + 19. What is the smallest value in 0.1, 0.3, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**6\/(n*n\/n**6))**(-47)\/((n**3\/n)\/((n\/(n*(n*n**(-8))\/n))\/n)*n*n*n**(-2\/9)*n**6\/n) assuming n is positive.\nAnswer: n**(-4246\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50.5 + -21. Let m = v - 30. What is the second smallest value in -0.1, -2, -2\/5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 7600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 62*w + 370. Let r be y(-5). Let d(u) be the first derivative of -15\/2*u**4 - r*u**2 - 3\/5*u**5 - 33*u**3 + 7 - 48*u. Solve d(x) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) 5 (c) 0.064 (d) -1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 376, 1489, 3344, 5941?\n\"Answer: 371*d**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 2*r - 23, 1 = 4*h - r - 7. Suppose 9 = h*s - 21. Suppose s = 22*m - 17*m. Solve 4*q - 3*t + 7 = m*q, -4*q = -5*t + 13 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*n + 2*n. Suppose 0*g - 3*g + 2*q = -80, -g + 2*q + 24 = 0. What is the highest common factor of g and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -aa196 (base 11) in base 7?\nAnswer: -1234213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2\/4 + 38496593*x\/2 - 1481987672607649\/4 = 0. What is x?\nAnswer: 38496593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -61*z - 1528. Let j be n(-25). Which is the third biggest value? (a) 291 (b) 0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2499 and 0.5.\nAnswer: -2498.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*d + 140 = 76*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(60)\/sqrt(5)*-2).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -q**4\/4 + q**3 + q**2\/2 - 2. Let b be f(3). Suppose -2*o - b*o + 30 = 0. What is the remainder when 16 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -124 (base 7) to base 6\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**3 + 2*f - 3. Let u be c(1). Let p be u\/(186\/45 - 4). Solve 4*x**3 + 11*x**2 - 2*x**3 - 6*x**3 - p*x**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78.4 + -78. Let x = 5397 + -5401. Which is the third smallest value? (a) -1\/5 (b) x (c) r (d) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -45 + 32*g + 354*g - 104*g. What is the units digit of r(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -31524422331?\nAnswer: -31524422332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105\/(-7) - (-34 + 23)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -950, -4294, -10066, -18428, -29542, -43570?\nAnswer: -60674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -155 + -42 + (51 - -47)\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181630 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t - 2*t**3 - 2*t)*(3*t + 0*t - 4*t) + 106 - 106 - 27*t**4 + t**4 - 5*t**3 + 4*t**3 + t**3 in the form w*t + h*t**2 + y + q*t**3 + f*t**4 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 415 + (-48)\/(-6) - -11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 0*a + a)*((-16 - 5*a + 16)*(2*a**2 - 4*a**2 + 3*a**2) - a**3 - 2*a**3 + 4*a**3).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 10 = s + t, 2*s - 2 = -4*t for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 277.2651 minutes in hours?\nAnswer: 4.621085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -364*u**6 - u**4 - 2*u**3 - 9*u**2 + u + 68?\nAnswer: -43680*u**3 - 24*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24\/36)\/(1\/(-423)). What is the smallest common multiple of (t\/(-9))\/((-28)\/(-42)) and 1?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18555 less than or equal to 148431\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 10*z = 12 + 27, 2*z = -5*q - 21 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - m**2 - 2*m**2)*(-m**2 - 3*m**2 + 2*m**2) - 1262*m**4 + 1270*m**4 - 6*m**3 + 0*m**3 + (-5*m**3 - 10*m**3 + 3*m**3)*(-2*m - 4 + 4).\nAnswer: 34*m**4 - 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 473805 is divided by 67684?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*k - 19 = -4, -k = 3. Does 22 divide 204 - ((6 - -6) + r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -631\/1170 or -1?\nAnswer: -631\/1170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 1. Suppose 5 = n*t - 143. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 0 (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one eighteenth of a day in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.42 + -0.029.\nAnswer: -1.449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(14 + -4) - -5 - (21 + -17).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (20\/(-25))\/(24\/180). Let l(n) = -3*n**3 + 2*n**2 + 63*n - 11. Is 23 a factor of l(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123168795 a multiple of 241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sqqxqqsqxbxqsxqbxqx. What is prob of sequence sxxx?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -62\/25070557 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -10, -3*j - 5 = 2*p - 2. Suppose 0 = 29*d - 35*d + 18. Solve d*m - 15 = p*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o**2*v**4 + 3*o**2*v + 14*o*v**2 - 27*v**5 wrt v.\nAnswer: 48*o**2*v - 1620*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-16)\/(-200)*-2.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 8214*u - 49278. Let s be r(6). Suppose 48\/7*q**2 - s*q**3 + 6\/7 + 18\/7*q**4 - 3\/7*q**5 - 27\/7*q = 0. Calculate q.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6849439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -688*q - 4. Let a(y) = 335*y + 2. What is 7*a(z) + 3*k(z)?\nAnswer: 281*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 71274 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2047 - 2015. Suppose 4*r - 3*z - 176 = 2*r, -358 = -4*r + 3*z. Calculate the remainder when r is divided by m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 12) to base 6.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -803 = 2202*l - 2167*l + 422 for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 8*f - 69. Let g be a(9). Factor g*n**2 + 0 + 0*n - 3\/2*n**4 + 3\/2*n**3.\nAnswer: -3*n**2*(n - 2)*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -125*m + 8. Let j be v(-4). Let o = j - 118. Suppose -2*l - 6 = 0, -418 - o = -4*c - 4*l. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 349 = 3*x + 4*i, -3*i = -4*x + 304. List the prime factors of x.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r**2 - 137*r + 274. Let c be n(2). Solve -90 = 14*t - c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-22)\/4)\/((-11)\/22). Let d be 3 + (0 - -1 - -4). Let o be (-4)\/d + (-22)\/(-4). Solve -o = -3*t - f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321.77 plus 2?\nAnswer: 323.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4 = -2*r - v, -r + 2 = 2*v. Let b be r\/(-3)*36\/(-8). Calculate the common denominator of -119\/18 and -108*((-465)\/(-160) - b).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 146*n**2 + 8458*n - 579. What is i(-58)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + u = -266, 2*x - 2*u - 100 = -0*x. Does 27 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 181683.02 to the nearest one thousand.\nAnswer: 182000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 4*q. Let y be (2 + q)*10\/4. What is the second derivative of -39*n**5 + 4*n + 46*n**y - n wrt n?\nAnswer: 140*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4\/4 + 1961*y**3\/2 - 3849441*y**2\/4 + 1921780*y - 960400.\nAnswer: -(y - 1960)**2*(y - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g**2 + 38*g + 12. Is 39 a factor of r(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 2*c - 283, -6*c - 269 = -3*k - c. Let d = 51 - 24. Suppose -u = 3 - d. Calculate the remainder when k is divided by u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/2 (b) 271 (c) 252\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1224 and 1530?\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 9:27 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*a = -29*a - 8. Suppose 0*i - i = 4*c - 22, -4*i + 5*c + a = 0. Suppose i*l - 475 = 353. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 2*u + 3*u. Let d = 1430 - 2315. Let n = d + u. What is n rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**4\/12 + 5*s**3\/6 + 5*s**2\/2 - 21*s. Calculate the remainder when a(-8) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 856403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8016 divided by -76761.\nAnswer: 2672\/25587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(108)*-1 + 3 - ((sqrt(108) + 1 - sqrt(108)) + -5 + (sqrt(108) - (sqrt(108) + 0))*4))**2.\nAnswer: -72*sqrt(3) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001101011 + -111000?\nAnswer: 10000110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 511754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g - 60 - 36 = 0. Let h be 3\/5 + 2*g\/20. Let x(u) be the third derivative of u**4\/24 + u**3\/2 - u**2. Calculate x(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 43. Let l = -29 - p. Calculate the remainder when l is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4 + 0 + 3*f**3 + 1166*f**2 - 3 - 1164*f**2. Give h(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4290686009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**5 - 2*o**5 + 4*o**5)*(-3 + 1 + 7) + 0*o**3 - o**5 + 0*o**3.\nAnswer: 14*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 i when three letters picked without replacement from iilililiiliiiiilii.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*f**4 + 4 + 2*f - 3*f**4 - 19*f**4 - 19*f**4 + 61*f**4 + 3574*f**2 as v*f**2 + r*f**4 + t + i*f + a*f**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 8*d + 12. Suppose -6 + 51 = 5*n. Let q be g(n). Solve 0*x + 9 = -q*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 - -28. Let t = -8 - j. Suppose -t*v + 18 = -9. Solve -v = 3*h - 6*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 - 61. What is the closest to v in 2, 5, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21008 divided by 101?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 100 divided by 42\nAnswer: 50\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + 28. Calculate the remainder when c is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 20 = -57. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and -111002894.\nAnswer: -111002893.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1113*l**3 + 38*l**3 + 293*l**3 + 1828*l**3 - l.\nAnswer: 3272*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01040079856 to four dps.\nAnswer: -0.0104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0768 and 25?\nAnswer: -1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -836.98 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 3*t**2 - 6*t - 5. Let b be v(5). Solve -o + 6*o + b = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 4*c + 1. Let n be v(-2). Solve -2*w = -3*w - 5*p, -n*p = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8801*t**3 + 188*t**2 - 5.\nAnswer: 52806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-7) + 69\/(-126)*470. Let a = 255 + v. Which is greater: -2 or a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 26*t - 15. Let z be r(-25). What is the tens digit of 9 + (-294)\/30 + 2248\/z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1890690158 to the power of 1\/2, to the nearest integer?\nAnswer: 43482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, 2, -323, -4 in ascending order.\nAnswer: -323, -51, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6112 - -6112.0021. What is the second smallest value in l, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -95*g**3 + 464*g**3 + 376*g**3 - 107*g**3 + 499 wrt g.\nAnswer: 1914*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 7*t**2 - 3. Let u(a) = 8*a**2 - 4. Let g be 4 - 162\/39 - 4\/(-26). Suppose -3*w - o + 6 = 0, 0 = -2*w - g*w + 2*o + 12. What is w*u(i) - 4*l(i)?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = d - 5 + 14 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1371 - -1371. Sort d, 0.059, 0.09.\nAnswer: d, 0.059, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 192 + -196. Let b(i) = -280*i - 249. Let u(a) = 6*a. Let x(g) = f*u(g) - b(g). What is the derivative of x(j) wrt j?\nAnswer: 256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-0.063794224\nAnswer: -0.0063794224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/18 + 426\/27. Is x + (-1*4 - -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31923 - -5\nAnswer: 31928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 + 50 = 10*a. Suppose -5174 = -21*z + a*z. List the prime factors of z.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 711785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.013 - -6.787. Let k = 40 + -38.2. Let l = s - k. Which is the biggest value? (a) -1\/9 (b) l (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 791.59 take away -5?\nAnswer: 796.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/7 - 250\/7. Suppose 1147*g - 1159*g + 108 = 0. What is the remainder when (-820)\/r + 2\/g is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -31, -79, -167, -307, -511, -791, -1159?\nAnswer: -1627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -172*y**2 - 346*y + 508. What is a(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405427 is divided by 149?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/2277 and -47\/232254.\nAnswer: 232254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -48, -47, -46?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 - -204. Suppose -h = -a - 13. Is a a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 0 + 4)*(-30*d + 21*d - 34*d) + (-1 - 1 + 0)*(-d - 4 + 4))*(1 + 4 - 3) as y + j*d and give j.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/5*(-45)\/54.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3275188529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 68 = 4*s, 0 = 4*s - i + 2*i - 88. What is the remainder when 50 is divided by (-40)\/140 + 363\/s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 85\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ysyuxxuxuyxxyxsyyxy. What is prob of sequence syu?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2103518935 to the power of 1\/3, to the nearest integer?\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 8. Let y = -6 - s. Suppose -m + 105 + 102 = y*q, -627 = -3*m - 3*q. What is the greatest common factor of m and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = a + 4*a. Suppose 0 = -i + 2*i, 2*v = -a*i. Let r(x) = -x**3 - x**2 + 260. Let d be r(v). Round d to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.052 - -218.052. Let x = n + -217.5. Put x, -139, 1\/4 in increasing order.\nAnswer: -139, 1\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5ca62 - -6c4?\nAnswer: -5c36b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1881 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -10*i - 5. Let v(r) = r**3 + 15*r**2 - 17*r - 19. Let y be v(-16). Let k be b(y). Let q = -30 + k. Let c(d) = 3*d + 6. Give c(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26761810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-21)\/(-23) - 1)*-1. Let q = 155\/231 + -16\/21. Put o, q, 2\/11 in descending order.\nAnswer: 2\/11, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79 + -9. Suppose -2*j = 2, 4*x - 5*j + d = 279. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - b714?\nAnswer: -b719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 2*l - 4*l + (-2 + 5 - 2)*(2*l - l + l) + 6*l + 1 - 1)*((-2*l + 0 + 0)*(1 + 4 - 4) + l - 9*l + l).\nAnswer: -81*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 3, 47, 0.02, -1 in descending order.\nAnswer: 47, 10, 3, 0.02, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1955450909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 788*p**3. Let g(v) = 6305*v**3. Calculate -5*g(q) + 39*m(q).\nAnswer: -793*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.45 - 5.4477. Let x = u + -0.0323. Let z = 0.03 + x. Which is the closest to -1\/2? (a) 2\/9 (b) z (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3962 and 461818.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-5)\/10*-5*320?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/3 - 544\/24. Let l = g - -70. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, m: 3}. Give prob of sequence mm.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3430 (base 5) to base 16.\nAnswer: 1ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -i**2 - 2*i - 1\/6*i**3 + 0. What is the derivative of r(u) wrt u?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of a**4\/24 - a**2. Let g(h) = 17*h + 3. Let y(m) = 9*m. Let b(c) = -2*g(c) + 4*y(c). Determine v(b(p)).\nAnswer: 2*p - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241671?\nAnswer: 3, 80557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 341 + -283.8. Let j = 57 - h. Which is the nearest to j? (a) 2 (b) 3\/7 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 48*y**5\/7 + 500*y**4\/7 + 618*y**3\/7 + 36*y**2\/7 - 166*y\/7 - 36\/7 = 0.\nAnswer: -9, -1, -2\/3, -1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -t + 2378, -t + 7148 = -5*g + 8*g. Calculate the smallest common multiple of g and 90.\nAnswer: 4770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 minus -20120?\nAnswer: 20119.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 545.9 to the nearest ten.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002090336 rounded to 5 decimal places?\nAnswer: -0.00209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 4*h**2 - h. Suppose 0 = -5*f + 16 - 1. Let s be 0 + ((-45)\/f)\/(-3). Let l = 8 - s. Determine x(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 39*z + 121. Let r be s(36). Let f(o) = o**2 - 20*o + 21. Let m be f(r). Which is bigger: -137\/2 or m?\nAnswer: -137\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-8) + 3\/4. Is 218 + s + 4\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13362 (base 7) to base 11.\nAnswer: 27a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -123 + 106. Let a = 8884\/21 - 1270\/3. Sort a, -2, u in descending order.\nAnswer: a, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3262.004 seconds in nanoseconds?\nAnswer: 3262004000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/5 + 26*i\/5 + 192\/5.\nAnswer: -(i - 32)*(i + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -170 divided by 34?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 5*r + 2. Let o be i(6). Let y(h) = 7*h - 15*h + 8*h + 0*h + h. Determine y(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 43*a**3 + 44*a**2 - 11*a + 295577?\nAnswer: 129*a**2 + 88*a - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**3 + 3*m**3 + m**3)*(-1 - 11*m**2 + 13*m**2 + 18).\nAnswer: 18*m**5 + 153*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 35 = 4*c, 370*g - 369*g + 4 + 57 = 7*c + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17759 - -57241. Round y to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23543.46 centuries to years.\nAnswer: 2354346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3660678 tonnes to micrograms.\nAnswer: 366067800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 204*u + 1 - 141296*u**2 + 70650*u**2 - u**3 + 70645*u**2 - 2*u**3 + 0*u**3 + 3*u**3 + 0*u**3 - u**3 + 2*u**3 + (-3*u**2 + 3*u**2 - 2*u**3)*(-3 + 2 + 0).\nAnswer: 3*u**3 - u**2 + 204*u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -4326268.\nAnswer: -5\/4326268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6*l**2. Let x(w) = -4*w - 3. Let k(u) = u + 1. Let q(s) = -3*k(s) - x(s). Determine q(n(m)).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 10:56 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 10:36 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a millennium in years?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -475262, -950503, -1425744, -1900985, -2376226, -2851467?\nAnswer: -3326708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 15) to base 2.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 10*v - 5*v. Suppose 6*s - 22 = v. Calculate the smallest common multiple of 3 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4533 - -7941. List the prime factors of n.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48611201?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*d**2 - 49 + 49)*(13*d + 56 - 56) + (5*d + 7*d - 5*d)*(4*d**2 + 0*d**2 + 0*d**2) to h*d**3 + i + j*d**2 + m*d and give h.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 0*z - 147 = -3*z, -z + 104 = 3*h. Let j = 7 + 10. Calculate the remainder when h is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18830223817*l - 3*l**3 + 115 - 115 - 18830223817*l.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-1 + -2 + 2)) + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirteen fifths of a micrometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 0*c - 4*c + 6*c + 1 + 10*c. Let g be w(4). Solve d = 2*r + 5, -3*d = 5*r + g - 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 7*y**3 + 1. Determine z(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 + 2 - 26)*(4*y - 4*y + y) to the form x*y + b and give x.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 7 - 1 = 0. Let l = -12 - -18. Let i = x + l. What is the smallest common multiple of 8 and i?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 149090 and 477965?\nAnswer: 16250810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -38 + 16 + 78 - 87\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = -2*u - 4*c, -4*u + 3*c = -9*u - 210. Let b = -39 - u. Let o(l) = l**2 - 2*l. Let p be o(b). Is p at most as big as 1\/51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -137, -284, -431?\n\"Answer: -147*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 229 + 97833*i**4 + 2*i - 97833*i**4 - 284*i**5 wrt i?\nAnswer: -5680*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 9:58 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(153) + 0)*1*3.\nAnswer: 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -91*d**2*x**2 + d**2*x - 4*d**2 + d*x**2 - 2*d*x - 64*d + 22807*x**2 - 30*x + 3 wrt x?\nAnswer: -182*d**2 + 2*d + 45614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 2*o + 7*o**2 - 4*o + 1 + 3*o. Is t(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**7\/70 - 19*i**6\/20 - 39*i**5\/20 - 2*i**2 + i - 126. Find k such that p(k) = 0.\nAnswer: -1, 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*k**3 + 414*k**3 - 133*k**3 - 7412*k + 7412*k.\nAnswer: 408*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 6. Let b be v(-6). Suppose b*g - 26 = -g. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -7*h + 12. Let q be (12\/(-9))\/(1\/(-3)). Calculate the remainder when 9 is divided by q\/24 + 46\/h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44005701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 448226 and -0.13.\nAnswer: -58269.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4\/559, -1, -5, 334, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*a + 35 = -82*a - 81*a. Let m(f) be the first derivative of 4*f**2 + 2 + 2*f**3 - 1\/4*f**4 + 0*f. Determine m(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, g: 4, k: 1, r: 1, a: 1}. Give prob of picking 1 k and 1 s.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*b - 3*v, -5*b = -2*b - 3*v - 18. Calculate the remainder when ((-21)\/5)\/(4\/(-20)) is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -89446, -4, -1 in decreasing order.\nAnswer: -1, -4, -89446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -12*k. Let q(r) be the first derivative of 25*r**2\/2 + 177. What is z(q(l))?\nAnswer: -300*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1749, 12, 41, -5, 0 in ascending order.\nAnswer: -5, 0, 12, 41, 1749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -151 - -67. Is q at least -82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4951*p + 0 + 5*p**2 - 4957*p + 6. Let o(j) = -j + 1. Give 6*o(c) - s(c).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y + y**3 + 1 + 9*y**2 + 4*y**2 - 2*y**3 - 10*y**2. Calculate f(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86*a + 86*a - 1501*a**2 - 2*a**3 - 25 + 1503*a**2 to the form b*a**2 + q + w*a + h*a**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**3 - 25*j**2 - 61*j - 9. Is o(26) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) 0.1 (c) -2\/31 (d) 0 (e) 1 (f) -7\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of 8*v**3 - 14*v + 2 + 6*v**2 - 3\/4*v**4 - 2\/5*v**6 - 39\/20*v**5. Solve n(h) = 0 for h.\nAnswer: -2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/3)\/(-4)*2328\/15*(-60)\/48?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -23*g**3 + 70*g**2 - 21*g + 12. What is q(3)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 995811643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2488 + 16330. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 500316 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-4) + (-220)\/8. Suppose -15 - 153 = -4*n. Let c = s + n. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 + 55 + 46 - 101.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-114)\/(-9)*6\/12*3. Suppose 72 = x*l + 15. Solve 4*h = 2*y - 20, -l*h = 2*y - 3*y + 14 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 7*r - 45. Let c = 93 + -86. Let i be x(c). Solve -7*h = -2*h - i*u + 1, -5*u = 2*h - 26 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*d = -19*d + 134*d + 1976 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, 0.08587, -0.5, 283?\nAnswer: 283","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 9*h - 75 = 0. Suppose -3*n = -h - 57. 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: Four letters picked without replacement from bbtbhbtbt. Give prob of sequence bttb.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22721.\nAnswer: 22721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*t**2*z**2 + 5*t**2*z + 529*t**2 - 85*t*z**2 - 5 wrt z?\nAnswer: 12*t**2*z + 5*t**2 - 170*t*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 163533 - 0.2?\nAnswer: 163532.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a + 8e180?\nAnswer: 8e18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 16 = -3*w. Suppose 0 = -w*h - 4*k + 40, -4*h + 19 + 16 = -k. Calculate the highest common divisor of h and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gaa when three letters picked without replacement from tttattgaatga?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 3*o + o)*(2*o + o - 2*o) + (-1 + 1 - o)*(o - 3*o - 18*o) - 2*o**2 - 1 + 1.\nAnswer: 17*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3 = -4*o + 9, 0 = -2*d + 2*o - 4. Let s be (-3)\/d*3*8\/18. Let g be -3 + s + -3 - -8. Solve 0*v - g = 2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -582.9433 + 583. Let f = x - -82.5533. Round f to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/11 or 193\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28? (a) -28 (b) -0.3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**2 - 13*u + 320. Let n be q(0). Suppose p - 24 = -4*v, -2*v = p + 3*v - 20. What is the greatest common factor of n and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m - 8. Suppose 0 = 5*b + p + 2, -8 = 5*b + 4*p - 0*p. Suppose b = -17*u + 53 + 66. Calculate k(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*i*p*t + 4237*i*p + 1149*i*t - p*t - 11594*p - t wrt t?\nAnswer: 9*i*p + 1149*i - p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 206800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5807873 and 4094.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 452 + -319. Let v = g - 132.5. Which is the nearest to -0.01? (a) 2 (b) v (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 7*l**6\/20 - l**5\/20 + l**3\/3 - 39*l**2 - 2*l. Find the third derivative of c(m) wrt m.\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 9*v**2 + 8*v - 10. Let g be i(-10). What is the greatest common divisor of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-75)\/(-7) + 6\/21. Let t = -23 - -24. Calculate the highest common divisor of t and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*c - 31 = -4*d, 4*c = -2*d + 28. Let q be 7*7\/(98\/12). What is the third derivative of d*n**2 + n**q - 10*n**2 - 2*n**6 wrt n?\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/10)\/(13\/((-468)\/(-9)))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 392*r = 406*r - 21280. What are the prime factors of r?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8332 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 7:16 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1210343\/376 + -3219. Let w = -737\/5640 + f. Let t be (-2)\/6*1\/1. What is the second biggest value in -2\/11, t, w?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -131 - -230. Suppose 0 = 3*h - 33 - g. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 622407510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -117\/14 - -76\/7. What is the common denominator of a and 117\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000153659 rounded to 7 decimal places?\nAnswer: -0.0001537","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -k + 1, -18 = 4*q - 8164*k + 8166*k for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2568?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1951\/2 - 974. Let c(s) be the first derivative of 0*s - 5\/3*s**3 + a*s**2 - 6. Find the second derivative of c(f) wrt f.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1544, -220, 14, -5 in increasing order.\nAnswer: -1544, -220, -5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32642, -32631, -32598, -32531, -32418, -32247, -32006?\nAnswer: -31683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 266\/(-8)*72\/168 - 3\/4.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2. Let z(v) = -21 + 6 + 15 - v. Determine m(z(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 20*f**2 + f + 1. Let b be k(2). Let n(s) = -s**2 - 7*s + 16. Let p be n(-9). Let r = p + b. What is the greatest common factor of 9 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 885057?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9266 and -8018499.\nAnswer: -8009233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.23, -3, 1\/5, -0.5 in descending order.\nAnswer: 1\/5, -0.23, -0.5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 8. Let n be g(4). Suppose 48 = -n*r + r. Let p = -14 - r. Solve -20 = -p*u + 7*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 i when three letters picked without replacement from zihhiiiz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 512*k - 275*k - 4981 = -56*k for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67142\/7 - 9590. What is the nearest to -0.1 in -2\/5, 0, 2, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/3874 and 3\/130.\nAnswer: 19370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46777275 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/80)\/(825\/396*(-3)\/35).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1759 (b) 31 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(65)\/sqrt(45) - (sqrt(130)*1 - sqrt(130))\/sqrt(10)) + 2.\nAnswer: -1 + sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) - sqrt(833)*1)*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 50*s - 62*s = 238 - 280, 44 = -2*y + 16*s for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 13) in base 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, d: 1, x: 2, e: 2, z: 1, s: 10}. Give prob of sequence dz.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40338758.\nAnswer: 2, 20169379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 35*m - 34*m = -16, 5*p = m - 24 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, -0.349, -2?\nAnswer: -0.349","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c**2 - c**2 - c**2)*(5*c + 4 - 2*c - 5) as f*c + b*c**2 + r + j*c**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 0 + 1\/18*o**4 - 13*o - 1\/3*o**3 + 0*o**2. Factor c(y).\nAnswer: 2*y*(y - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from arcxxfl. What is prob of picking 1 x and 1 a?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4e1 (base 16) to base 15.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27677?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-472 - -474 - (-2 + -2)) + (-1 - -19)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-57)*7439070\/8420\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 2*z + 1. Give g(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -9.54. Let z = b + 0.04. Put -3, -0.4, z in decreasing order.\nAnswer: -0.4, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 379 - 340. What is the units digit of 21944\/j*(-12)\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -58596*t + 1651. Is h(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/168 and -119\/2008572.\nAnswer: 28120008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 552*i**2 - 67 + 494*i**2 + 13.\nAnswer: -58*i**2 - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -10. Suppose 170 = 2*y + a*l, 206 = 2*y + 4*l - 9*l. Let m = y + -45. Is 16 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (-2 + 14) - -8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -46858 and 7006.\nAnswer: -39852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 11 + 31 - 33.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 37\/(-13) + 3 - (-11522)\/(-26). Let b = h + 15063\/34. Let u = 41\/174 - 2\/29. Put 1, u, b in increasing order.\nAnswer: b, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67 - 10 + 3*z**2 + 77.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -13011485 at most as big as -13011484?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7158 (base 9) to base 5.\nAnswer: 131422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 12*p**2 - 13*p**2 + p**2 + 8*p**2.\nAnswer: -16*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17229353549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*c - 2*v + 5 = 34*c, 0 = -v + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3203624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 565929 and 1638?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 193 and 8?\nAnswer: 1544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -9 + (132\/55 - -7). Let b(a) be the second derivative of f*a**5 + 2\/3*a**3 + 0 + 0*a**4 + 3*a + 0*a**2. Find the second derivative of b(p) wrt p.\nAnswer: 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 2)*(-421 + 2*d - 213 + 24) to the form r + l*d and give r.\nAnswer: -610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1820567?\nAnswer: 7, 260081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.213046 rounded to 1 decimal place?\nAnswer: -20.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2. Let u(y) = -1388*y. Give u(v(g)).\nAnswer: 2776*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32.9999941 + -33. Round n to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 186 + -185. Do 2\/23 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*t**6 + 36702915*t**3 - 2960*t**2 + 3*t + 3033 wrt t.\nAnswer: 360*t**3 + 220217490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (0 + -1 + 19 + 28 + -36).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 442\/13 + -21 - (-1 - 134\/(-8))\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3373181.51 - -9401.85.\nAnswer: -3363779.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -107870 rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c**5 + c**5 + 2*c**5)*(-2 - 2 + 6)*(2 - 3 - 7).\nAnswer: -160*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.56146077 + 0.734460944. Let x = -16059.827 - -16060. Let u = x - a. Round u to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 493?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 14 = 2*u, 3*x = -4*u + 344 - 331 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - n + 850 = 0. Suppose 0 = 4*y + y - n. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11126567 and 1945.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 3*g - 2. Let k be u(2). Solve -4 = b - 5*r - 10, -3*b + 4*r + 7 = k for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.43 - -35628\nAnswer: 35619.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*t + 152 + 108 - 218 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59 + -59. Let r be (15 - z)\/(2\/(-136)). What is r rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k - 2*k - 4*k + 5*k - 8 + 2*k**2. Calculate the least common multiple of v(5) and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -7. Suppose -l*z = -5*z. Suppose 4*f - 8*f + 12 = 0. Solve z = f*b + 2*k + 18 - 8, 3*b + 5*k = -25 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 5, -2136 in ascending order.\nAnswer: -2136, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**2 - 555*z + 83804. Calculate v(-386).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4317 + 4357 = -5*a - 4*b + 8604, 3*b - 35 = 5*a for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -4*o + o. Let i be (10\/(-2) - -19) + 1. Let j = o + i. Solve -n + 0*x + 4*x - 3 = 0, 9 = -j*n + 4*x for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 4*q. Let n(x) = 45*x**3 + 5*x**2 + 26*x. Calculate n(c) + 5*v(c).\nAnswer: 45*c**3 + 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 2 + 3)*(3 + 1 - 2) - 17 + 30 + 151)*(14*l**2 + 44 - 44).\nAnswer: 2240*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 8 = 2*n - k, 10 = 2*k for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 93 = 4*m, -77*m = -q - 72*m + 48. Solve -55*z = -q*z - 336 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4 - 14 = -v, -t - 72 = -4*v. Let u(j) = j**2 - 7*j - 26. Let g be u(11). Differentiate -v*i + 5 + g*i - 6*i**3 with respect to i.\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4126, -4144, -4162?\n\"Answer: -18*n - 4108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 113 = -27. What is the remainder when 12 is divided by -1 - -6 - 0 - (35 - p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.14178 not equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 + -13. Let a = 103 + n. List the prime factors of a.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 7*g - 4. Let d be q(6). Let n be 4\/6 - (-446)\/12. Let v = n - d. Is 1 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5045 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 6*b + 2. Suppose -18*v = -13*v + 25. Let f be a(v). Calculate the greatest common divisor of f and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p. Let k(g) = -37 - 30 + 27*g + 93 - 26. Give k(s(o)).\nAnswer: -27*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/48)\/((-24)\/72)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -21*d - 46. Let r(s) = -4*s - 9. Give 11*r(t) - 2*w(t).\nAnswer: -2*t - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (6 - (-3 + (14 - 4)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -x**3\/2 - 43*x + 3. Let k(j) = -7*j**2. Determine k(w(z)).\nAnswer: -63*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-35) + 106\/(-77). Let j = 35\/22 + g. Sort -3\/4, 3, j in increasing order.\nAnswer: -3\/4, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 19*q**3 + 1161*q**2 + 275*q + 9199. Give x(-61).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 8. Let j(h) = h. What is the units digit of j(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25067*w**3 + 3 + 11*w + 25121*w**3 - 5 - 4*w as j*w + m*w**2 + t*w**3 + d and give t.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1501.30935 milliseconds in days?\nAnswer: 0.000017376265625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/((-140)\/5745) - 3\/(-4). Let z(w) = s*w - 288*w - w**2. Let f(y) = -10*y. Calculate f(z(g)).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 90 - 179 - 152 + 43 + 10*n**3.\nAnswer: 10*n**3 - 337","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**4 - 3*r**4 - 2*r**4)*(0 + 1 + 8).\nAnswer: -9*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 + 32. Let g = 201 + -199. Which is the nearest to -3\/5? (a) f (b) g (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2 + a - 4 - 13 as r + q*a and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -5*v**2\/2 + v - 1. What is the remainder when m(-13) is divided by (-2 + -1)\/((-264)\/51 + 5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32926*b*n**5 + 2*b*n**2 + b*n - 2*b + 409*n wrt n.\nAnswer: 1975560*b*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -6*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, i: 9}. What is prob of picking 1 i and 2 q?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*z - 2*z + 21, -2*t + 3 = z. Suppose 0 = -t*q + k - 3*k + 120, -26 = -q + 4*k. List the prime factors of q.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9398 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 + 36. Let c be (-1)\/4 + 57\/(-12). Let f = c + m. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138 - -460480002.\nAnswer: 460480140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from egegggegggeggggggge. Give prob of picking 2 e.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 317818, 0.3, 2 in ascending order.\nAnswer: 0.3, 2, 5, 317818","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z + 373 = -18*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -35. Suppose 4*l - 3*h + 0*h = 18, 0 = 4*l - 4*h - j. Suppose 0*v + l*v - 30 = 0. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7499 take away 0.06?\nAnswer: 7498.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4 + sqrt(304) + 5 + -2*sqrt(304) + 6*((sqrt(133) + sqrt(133)*1)\/sqrt(7) + 2))**2.\nAnswer: 208*sqrt(19) + 1390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwkwwwwbkwbwwpff. Give prob of sequence ppwf.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11 + 1\/((-145)\/20 - -7). Solve -t*q - 24 = -13*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(684) + (sqrt(684) - -1*sqrt(684)) + 5 + sqrt(684) + -1)**2*-2 + (((sqrt(684) - (-4 + 0 + sqrt(684))) + -2 + sqrt(684)*-1)*-1)**2).\nAnswer: -106160 - 2040*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a century?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 78 - 74. Suppose 9*c + 2*z - 7 = 4*c, 2*c = -2*z + q. Sort -3, c, 14 in ascending order.\nAnswer: -3, c, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/15)\/((-152)\/(-1938)) + 22\/(-55)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - 30?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-60)\/(-25))*(-66196)\/(-19095).\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 187*r + 191*r = 23, -68 = 11*a - 3*r for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*p - 6, -4*u - 2*p + 5 + 5 = 0. Suppose 4 = -u*m + 8. What is the closest to -1 in -5, 1, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -3*n. Suppose -4*i + n = -16. Suppose 0 = -0*d + 3*d + 12, 0 = -4*o - 2*d + 40. Solve 0 = i*c - 8*c - o for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.8543617 rounded to two decimal places?\nAnswer: -9.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 14635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.183 * -0.3\nAnswer: 0.0549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by (1 - -13)\/((-192)\/(-30) + -6).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*h - 7 = -0*t, -2*t + 5 = 5*h. Suppose 8 + 4 = 3*q - c, -t*q = 4*c - 37. Solve q*n = -8 - 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 4*n - 136 = -n - 158, -279*b = -9*n - 315 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 l when two letters picked without replacement from {d: 2, k: 2, h: 3, l: 3, v: 1, f: 1}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 777 by 2.\nAnswer: 777\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*c**2 - 30*c**2 + 2 + 0 - 35*c**2 - 13*c.\nAnswer: -90*c**2 - 13*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 586188?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, 2\/107, -9, -4, -1\/3, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00017464270442 rounded to five dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 34\/(-10) - 12\/(-30). Let w be 1*a\/3 - -6. Suppose -w*v = -v - 28. Solve -3*x - v - 5 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5*u - 113. What is y(-21)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*h - 26*h - 27*h - 832 = 132*v + 25*h, -2*v + 3*h - 62 = -2*h for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 168202 - 168126.471. What is r rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*2*((-24)\/114)\/4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(132)*-1)\/(sqrt(36)\/(sqrt(12)\/sqrt(4))).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**3 - 36 - 11222*q**4 + 10*q - q**3 + 11224*q**4 to the form s + o*q + m*q**2 + h*q**4 + j*q**3 and give s.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392301 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c, -2*c - 213 = -3*p + c. What is the remainder when p is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, v: 2, c: 2, l: 1, h: 1}. What is prob of sequence nnc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * -89257.\nAnswer: 4462.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 16) to base 8\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4095\/805 + (-2)\/23.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.2, -0.27, -11\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h - 3*h - 6*h - h. Let z(b) = -6*b**2. Calculate c(z(p)).\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ypahz. Give prob of sequence hzy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a hour in seconds?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2\/5 - 23284744*j\/5 - 135544825786384\/5 = 0. Calculate j.\nAnswer: -11642372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**5\/4 + 159*c**4\/4 + 147*c**3\/4 - 471*c**2\/4 - 75*c\/2 + 78 = 0. What is c?\nAnswer: -52, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1203500 to the nearest one thousand.\nAnswer: -1204000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 18990869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 3*a = 4*m + 873, 4*a = 3*m - 518. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51342\/20124 + (-5)\/2.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4264, 8525, 12786, 17047, 21308?\n\"Answer: 4261*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*o + 44*o + 8*o = 45*o - 3472 for o.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-8))\/((-4)\/(-48)). What is the greatest common factor of 2 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140680 divided by 596?\nAnswer: 35170\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*y = -378, 49*p = 46*p + y + 358. What is the remainder when 1933 is divided by p?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 126, -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36\/11? (a) 0 (b) 0.0167 (c) -5\/8 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 62.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22031254 - -3?\nAnswer: 22031301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23571 and 97.\nAnswer: 23571","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 2:13 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3105164 is divided by 5210?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 93 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 + 1. Suppose 0 = -c - 2*s + 10, 3*c = 2*s - 3 + 9. Sort p, -3, c in descending order.\nAnswer: c, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*i**2 - 2*i**3 - 9*i**2 + (-6 + 3*i + 6)*(14*i**2 + 15*i**2 - 10*i**2) + (3*i - i + 2*i)*(0 + 2*i**2 + 0).\nAnswer: 63*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.018, 10, 5\/2 in descending order.\nAnswer: 10, 5\/2, 0.018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 7*j - 12. Suppose 0 = -4*k - m + 546, -4*m = j*k - 139 - 277. Is 27 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 689 - 512. Let n = f - 191. Let o(h) = -2*h**3 - 29*h**2 - 15*h - 12. What is o(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 2 = d. Suppose 4*a - 5 - 3 = 0. Suppose j - a*j - 4*y = -177, -j + d*y = -193. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -33, -113, -213, -333, -473, -633, -813?\n\"Answer: -10*s**2 - 50*s + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/3)\/r)**38*r**0*r**10 assuming r is positive.\nAnswer: r**(-46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 610*a - 274*a - a**3 - 328*a + a**3 + a**4 - 124*a**2 - 2 to the form v + z*a**2 + r*a**3 + m*a + l*a**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.26*-3.71.\nAnswer: 0.9646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1107308325?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 7:01 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 184*r - 183*r = -20, -24 = 4*p + 5*r. Solve -3*g - 19 = p*a + 8, 0 = -4*a - g - 25 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 - -32?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-10))\/(((-1)\/10)\/((-2112)\/1320)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -121, -241, -361, -481, -601?\n\"Answer: -120*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2652818*s**2 - 160*s**3 - 2652818*s**2.\nAnswer: -160*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5 = -2*f - 0, -3*y = -2*f - 3. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - -1 - 1) + 939 + -974 + (22 - -1).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) 11 (c) 0.2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 38559753849.\nAnswer: -38559753846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1508 and 1924.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1331) + 5)**2 - (1 + ((2 + sqrt(11))*6 - sqrt(11))).\nAnswer: 127*sqrt(11) + 1354","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -7*m - 4*r, 3*m = 4*m - r + 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-3)*20\/495. Let i = -265\/792 + p. Sort 2, 9, i in descending order.\nAnswer: 9, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102216239959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/574270341 and -1\/382.\nAnswer: 1148540682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*f**2 + f**2 - 19757 + 19760 - 2*f as l + c*f**2 + s*f and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from ssbbss?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25 and 290?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41202.7 - 41203. Let o = -3 + 5. Which is the third biggest value? (a) v (b) o (c) -1\/2 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*k**2 + 55*k**2 - 24*k**2 + (0*k + 2*k - 3*k)*(0 + 2*k + 0) + k**2 + k**2 - k**2 as d + r*k**2 + t*k and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((95 - -9) + 3)*-5. Let i = j + 850. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59*a**2*m**3 + 3386*a**2*m*w**2 + a**2*m + m**3*w**2 - 73*m*w wrt w?\nAnswer: 6772*a**2*m + 2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.093 - -13.173. Let l = c + -13. Let x = 0.18 - l. Which is bigger: x or -4\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 557, 4949, 16869, 40079, 78341?\n\"Answer: 627*r**3 + 2*r**2 - 3*r - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (2 + -17 + 17 + 6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (374\/187)\/(((-10)\/15)\/((-4)\/(-3)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 115624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 2 = 9*t - 10*t, 7 = t - 4*l for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-18)*-15)\/(44\/66)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 34\/145 (b) -0.4 (c) -178\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*o**3 + 2*o**3 + 3*o**3 - 7*o**3.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5456018 is divided by 340997.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - -8. Let g be (-4)\/u + (-60)\/(-14). Let v be 3\/1 + g + -5. Solve -6 + 1 = -2*x - 3*h, -4*x = v*h + 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -428119 and -30590378?\nAnswer: 30162259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/3*(-12)\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**3\/7 + 17904*x**2\/7 + 392962*x\/7 + 53580 = 0. What is x?\nAnswer: -8930, -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*x - 2125 + 4144 = -1677 for x.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7611949 is divided by 37.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -18 + -1 + (-3)\/1. Let z be -1*u*3\/6. Let c = z + -7. What is the remainder when 9 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -0.96404?\nAnswer: 1.96404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1127165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 10*y**7\/21 - 13*y**4\/6 + 17*y. What is the third derivative of r(c) wrt c?\nAnswer: 1200*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -6*h - 63. Let x = 75 + h. Find the third derivative of -37*s**5 + 37*s**2 + 23*s**5 - x*s**5 wrt s.\nAnswer: -1560*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2504985997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -2. Let j = -3 - -4. Is z at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3374*r + 5 - 4 - 3425*r + 10162*r - 3374*r - 1.\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-308) - (528325\/66220 + -8)\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 119*t + 23*t - 50680. Solve t = m + 355 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 157*w - 2. Let a be y(1). Suppose 7*q - a = 664. What are the prime factors of q?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/28 - 18\/36?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29392 + -29390. Determine s so that 10\/9*s**3 + 28\/9*s + 0 + 74\/9*s**i = 0.\nAnswer: -7, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from fwwffwwfffffffwffff?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*-1*(-2)\/((-2)\/(-3)). What is the first derivative of -n**3 + n**3 + 20*n**4 + r - 12*n**4 wrt n?\nAnswer: 32*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4417062 = -1088*m + 1010*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 8*x**2 - 10*x - 4. Let a be k(-9). Let v be (-78)\/315 - (-1)\/a. Let w = v + -2\/7. Is w bigger than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 2448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.35 - 0.05. Let b = -271.1 + 270.7. Put c, b, -13 in descending order.\nAnswer: c, b, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 3*m = 3*r + 579, 5*m - 379 = -2*r. Let u = -1264 - -1424. What is the highest common divisor of u and r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r + 21. Let f = 20 + -15. Suppose -f*n = -n. Let g be p(n). Solve 6 + 2 = 4*s, g = -3*y + 3*s for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c**2\/4 - 11913*c\/4 - 309412 = 0. Calculate c.\nAnswer: -103, 12016","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 + 4*z + 3. Let w be i(-3). Suppose 0 = 8*s + 42 - 10. Let t(q) = 13*q - 2. Let x(j) = 6*j - 1. Determine s*t(p) + w*x(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 117940037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 15, -3*x + 0*u - 5*u = -6. Let w(i) = -13 - 2*i**3 + 9*i**2 + x*i**3 + 11*i - 6*i**3. Let a be w(10). Sort a, -1, -4.\nAnswer: -4, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 311.2753 nanometers to meters.\nAnswer: 0.0000003112753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (457\/(-46614))\/((-1)\/(-12))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 803191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62664 is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 942 divide 2840130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 486*o - 8749. Let f be k(18). Let d be (712\/48)\/((-4)\/(-6)). Which is greater: f or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160300\/193 smaller than 831?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**4 - 5*f**4 - 3 + f**4 + 5*f + 2*f**2 + 2 as l*f + i*f**3 + o + s*f**2 + r*f**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 20 - 9?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-39)\/(-4) + 3\/12. Factor 4*k**3 - 1 + 12*k**4 - 1 + 5*k**5 - n*k**2 - 8*k - k.\nAnswer: (k - 1)*(k + 1)**3*(5*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**2 + 1047*l = 0?\nAnswer: -1047, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -787*l*z**5 - l*z**3 + 174*l*z**2 - l*z wrt z?\nAnswer: -47220*l*z**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-1\/46)*s*s)\/((s*s\/(s*s*s**29*s*s))\/s*s))\/((s\/(s*s*s\/(s\/(s**23\/s))))\/(s*s**(-5\/3)*s*s)) assuming s is positive.\nAnswer: s**(8053\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -18 - (-43)\/(602\/56).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -45 at least as big as -45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6 = -2. Differentiate c - 2 - i + 2 with respect to i.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -36 - -2?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 102, 180, 274, 384?\n\"Answer: 8*w**2 + 54*w + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.5 + -3. Let i = 101.5 + -100. Let n = y - i. Is -0.1 >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 1. Let w(f) = 69*f**3 + 6*f**2 - 6. Let x(b) = -4*d(b) + w(b). Does 12 divide x(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000011100110 (base 2) in base 12?\nAnswer: -2606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16010*o + 140500?\nAnswer: -16010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-15)*-5 - 210. Let t = -198 - a. Calculate the smallest common multiple of t and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(6 - 250\/40).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-3))\/((-4)\/(-36)). Let g be (-1)\/((-2)\/(-18)*d). Let x(f) = -8*f + 6*f - g*f - 3. Determine x(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 341, 345, 337, 311, 261?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5*c**2 + 4*c. Let p(f) be the third derivative of f**5\/20 - f**4\/3 - 55*f**2. Let u(q) = 2*q**2 - 5*q. Let k(z) = -5*p(z) + 8*u(z). What is m(k(n))?\nAnswer: -5*n**4 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1766 at least 1758?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -25*o**2 + 2*o + 4. Let x(y) = -8*y**2 + y + 1. What is 2*k(a) - 7*x(a)?\nAnswer: 6*a**2 - 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 92 - 645\/7. Suppose 2*s = -95*m + 99*m + 36, -3*s = -3*m - 45. Sort m, o, -3\/5 in decreasing order.\nAnswer: o, -3\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 38 = 5*q - 8, -3*q = -15. Let f = d - -19. Is 3 a factor of (-1 + 1\/(-2))*f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.9314777 years?\nAnswer: 11.1777324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 1675*d**3 - 4*d**2 - 3119*d**3 + 1443*d**3 + d. Suppose 2*h - 20 = 7*h. Calculate n(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 26 - 21 + 35 + 50 - 19 + w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3 = -5. Suppose 0 = -4*b + v*b + 122. Suppose 5*p = -4*m + b, -2*m + p + 0*p + 41 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 1:34 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3415066?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 149279614.\nAnswer: 3\/149279614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or -1567?\nAnswer: -1567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 1\/2 (c) -0.55 (d) -4\/7 (e) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1805300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 27, 103, 291, 645, 1219, 2067, 3243, 4801?\n\"Answer: 9*r**3 + 2*r**2 + 7*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**3*y**4 + 7*b**3*y**2 - 47*b**2*y**4 - 182*b**2*y**2 wrt y?\nAnswer: -72*b**3*y - 1128*b**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 9 + k + 4.\nAnswer: k + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8260 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of 7*a**5\/60 - 4*a**2. Let f(g) = 3*g - 2. Let i(c) = 6*c - 5. Let u(r) = -5*f(r) + 2*i(r). What is u(w(m))?\nAnswer: -21*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 332778713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 150\/(-20)*(-4)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**6\/(v*(v*(v**9\/v)\/v)\/v))\/(v*v**(-4)*v\/(v*v*(v*v\/(v*v\/(v**8\/v))*v)\/v)) assuming v is positive.\nAnswer: v**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7196325420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 2)*(0*n + 2*n + n)*(22 - 7 + 7)*(0 - 5 - 1)*(3 + 2*n - 3) to b + u*n + r*n**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 410 = 17*d + 60*d + 102. Let z be (-35)\/(-10) - 1\/(-2). Suppose z*r = -m + 19, 3*m - 1 = 2*r - 0. Put m, d, -1 in ascending order.\nAnswer: -1, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 709 - 250. Suppose -5*o = 4*o - d. Is 19 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5 = -5*f - 3, 2*q - 4*f + 4 = 0. Sort -4, q, -1 in descending order.\nAnswer: q, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 - 41 - (3 - -15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -574429 + 861866. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**3 - 4*y**3 + 2*y**3)*(5 - 4 + 1) - 3*y**3 + 5*y**3 + 0*y**3 + y**3 - 2*y**3 + 2*y**3.\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(2\/11)*u*u**6)\/(u\/(u**4\/u*u)*(u\/u**(-3\/4)*u)\/u)*(u\/(u*u*u**0))**(-27)\/(u**(-2\/9)*u**(2\/7)) assuming u is positive.\nAnswer: u**(99805\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.00719714 rounded to two decimal places?\nAnswer: -31.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (201*470\/47235)\/((-1)\/14).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 21381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 211085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 341486560 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -345172233 + z - 7*z**2 + z**2 + 345172232. Let i(k) = 4*k**2 + 5*k - 1. Let g(u) = -u**2. Let l(p) = -3*g(p) - i(p). Let a be l(-5). Determine r(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6564593 is divided by 1133.\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2d - 1d?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10184828 + -0.04?\nAnswer: -10184828.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253*m**3 - 153*m**3 - 3*m**3 + 29*m**3.\nAnswer: 126*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1005\/2010)\/((1\/7)\/1)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 128551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -2122430?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/115410 and 79\/46164?\nAnswer: 230820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*t + 46*t = -80. Solve 11*w - 3 = 10*w - h, h = t for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 8*x + 5. Let r be o(6). What is the tens digit of (14 + r)*(-1 - -19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventy-two fifths of a hour?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 15*c**2. Let j(u) = 40*u**2 + 90*u. Let b(n) = -n**2 - 3*n. Let g(l) = 30*b(l) + j(l). Determine w(g(k)).\nAnswer: 1500*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 1993*l + 10 - 1993*l - 5 + 5*l**2. Determine g(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + v + 4*v - 30 = 0, 20 = 5*v. Let f(k) be the second derivative of 0 + 17*k - 1\/12*k**4 - 1\/20*k**5 - 1\/6*k**3 - 5*k**d. Determine f(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1, 0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(475) + sqrt(475) + 0)**2 - sqrt(475))*4 + (sqrt(38) - sqrt(152)*1)\/(sqrt(200)*2).\nAnswer: -3601*sqrt(19)\/20 + 7616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-588)\/(-245))\/(3\/20)*1. Suppose 13*t - w*t + 42 = -3*a, -10 = -t + 3*a. Solve h = -4*o - 4*h + t, 3*h = 2*o - 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-21)*((-65)\/(-10) + -1*3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1988)\/1136)\/(23625\/(-72)).\nAnswer: 2\/375","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1488413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4 = -4*l + 21, -2*l = -4*v - 12. Let b be (6\/l)\/((-6)\/(-40)). Calculate the greatest common factor of 40 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13336.32 litres to millilitres.\nAnswer: 13336320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i - 4. Let z(y) = 5*y - 6. Let m(c) = 1. Let n(p) = -3*p**2 + 2*p - 1. Let f be n(1). Let x(w) = f*z(w) - 22*m(w). Calculate 12*k(j) - 5*x(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.255 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*d + 110349000 = 17*d. Round d to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41685460, 41685459, 41685458, 41685457, 41685456?\nAnswer: 41685455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40066\/5565 - -2\/5565. Let h be ((-2)\/2)\/(-1)*2. Factor 4\/5 - g*r**2 - h*r.\nAnswer: -2*(2*r + 1)*(9*r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 5*v - 263651 - 246, 7*c + 3*v = 1847471. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 95 = 7. Let z(p) = 5*p + y*p - 10 - 22*p. Let l(a) = -2*a. Determine z(l(c)).\nAnswer: 18*c - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -288*z**3 - 1724*z**2 - 2568*z + 36.\nAnswer: -4*(z + 3)**2*(72*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i - 1. Let q(z) = z**2 + 6*z - 3. Give 5*h(b) - q(b).\nAnswer: -b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2480 and 3410?\nAnswer: 27280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13484292 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366*k**3 + 1833*k**3 - 444*k**3.\nAnswer: 1755*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/18)\/(36\/(-27))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7 - (-5 + 7)) + (10 - 12 - -1). Factor f - 7*q - 1\/2*q**3 + 7\/2*q**2.\nAnswer: -(q - 4)*(q - 2)*(q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18.55 + -14.8. Let q = g - 3.45. Let k = -25\/396 + -2\/99. What is the third biggest value in 0.5, q, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*h + 879 - 34*h + 120*h - 28*h - 24*h in the form n*h + r and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1594008.\nAnswer: 2, 3, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -15 and 81.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -1\/3*j**3 + 3*j + 1\/4*j**4 + 0*j**2 + 0. Find the second derivative of c(y) wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 11317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -72684 (b) 0.5 (c) 2\/7 (d) -2 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**4 + 0*l**4 - 3*l**4 + 15*l**4 + 4*l**4 + 17*l**4 + (-2*l**3 + 2 - 2)*(1 - 2*l - 1).\nAnswer: 39*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 145*k**2*q**2 + 4*k*q**2 - 4*k + 2*q**2 wrt k.\nAnswer: 290*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27968948?\nAnswer: 2, 7, 47, 53, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -27 + 1b55c64?\nAnswer: 1b55c3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*sqrt(1100) - 6*(sqrt(1100)*3)**2) + 5.\nAnswer: -59398 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -5, 8 in decreasing order.\nAnswer: 8, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -9*y. Let s(f) = -830*f**2. Determine r(s(h)).\nAnswer: 7470*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -128 + 148. What is the remainder when 98 is divided by l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2010554, -2010494, -2010438, -2010386?\n\"Answer: -2*o**2 + 66*o - 2010618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1e39 (base 16) to base 14\nAnswer: -2b69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3e - fbb?\nAnswer: -f7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/21*(672 + -770).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -174, -123, -78, -39, -6, 21, 42?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -90109?\nAnswer: -90109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*2*(-1)\/(-1). Suppose c + a*c = 0. Suppose c = -v + 3 - 0, 2*u = -5*v + 35. Solve -q - q = -u for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 1:25 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yogo. Give prob of picking 1 o and 1 y.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -34 + 8 - 28*j - 5 - 4*j. Let f be c(-5). Suppose 48 = 3*b - f. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -34*s**2 + 67*s - 13. Let z(f) = -f**2 - 9*f + 1. Let p(r) = d(r) + 8*z(r). Let h(v) = -21*v**2 - 3*v - 3. Calculate -5*h(x) + 3*p(x).\nAnswer: -21*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3861 a factor of 1704403701?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 77*l**2 - 22*l + 78. Is n(3) a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 105\/4069?\nAnswer: 105\/4069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 6*t + 8. Calculate r(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3279 is divided by 819?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 311? (a) -5 (b) -0.3 (c) -3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5157, 3, -1 in descending order.\nAnswer: 5157, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1260 and 9511110?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3440*p + 5168*p**2 + 3439*p + 1364*p**2 as o*p + q + r*p**2 and give r.\nAnswer: 6532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 45 = -3*c. Suppose 0 = -2*g - 4*v + 8, -3*v + 4 = 4*g - v. Solve 5*l - 3*q = -q + 17, -l - q + c = g for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1368, -1385, -1420, -1479, -1568?\nAnswer: -1693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004998369707 to 4 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12142 (base 5) to base 8.\nAnswer: -1632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 86 = 4*l, 2*i - 6*l + 4*l = 36. Is i bigger than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 111 = 19*d - 7*d, 3*f = 5*d + 49 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2809?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 224958?\nAnswer: 1349748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 187*n**2 + 7*n + 19. Is y(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -3*x + 93. Let o(q) = -3*q + 0*q + 5*q - 4*q. Let i(u) = -6*u. What is x*o(h) - 6*i(h)?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*w**2 - 36*w - 57*w**2 - 49*w + 85*w.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*h + 164*h - 1382 - 4484 = -1786 for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 984*f**2 - 875*f.\nAnswer: 1968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18253 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r + 3. Let y be k(-5). Solve c = -3*q, 4*c - y = q - 0*q for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 1. Let m(c) = 8*c - 6. Let g(h) = m(h) + 6*u(h). Let y(p) be the first derivative of 22*p**3\/3 - 666. Give y(g(f)).\nAnswer: 88*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 4*v + 2\/5*v**2 + 10 = 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (304*r - 2*r + 115*r)*(2 - 1 + 1)*(-5 - 1 + 2)*(4*r + 0*r - 6*r).\nAnswer: 6672*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78993, 5.4, -1\/8, 2\/9, 0.5 in decreasing order.\nAnswer: 78993, 5.4, 0.5, 2\/9, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooosooooosoo. What is prob of picking 2 s and 2 o?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -60000 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1610828304?\nAnswer: 2, 3, 33558923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -50 - 1b?\nAnswer: -6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -540, -441, -318, -171, 0, 195, 414?\nAnswer: 657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 11062 - 4668 = 0. Round v to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82.86*1.2.\nAnswer: 99.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -13 - (-6 - -6 - -7). What is the fourth biggest value in 3, y, -1, -2\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -238670 - -2611456\/11. Let p = u + 1268. Is p smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 33 + 1051 = -j, 3*j = -4*v + 1415. Calculate the remainder when v is divided by 199.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.3 + 2.2. Let t = -0.4 + a. Let n be 5\/(-7) - -1*1. Sort n, 3\/2, t.\nAnswer: n, t, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -42*y**3 + y**2 - 1. Let z be m(-1). Suppose -6*a + 3*a + 4*n = -33, 5*n = a - 22. What is the greatest common factor of a and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3506, 6912, 10146, 13124, 15762?\nAnswer: 17976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3 + 0 + sqrt(176) + -2 + (sqrt(176)*2*-6)**2)*3.\nAnswer: 12*sqrt(11) + 76015","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 813 = -273. Suppose 98*j = i*j. Solve -2*a + 8 = -3*p, 1 = -j*p - 2*p - 3*a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -15*g + 4. Let d = -545 - -548. Let x(v) = -19*v + 3. Let p(l) = d*x(l) - 4*k(l). Let f(z) = 2*z - 4. What is -5*f(q) + 3*p(q)?\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-27 - -7)*8\/10. Let w = -11 - v. Solve 3*a + 19 = 2*k, w*a = k - 23 - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(2*s + 2 - 2) - 3 - 21*s + 40*s - 52*s.\nAnswer: -35*s - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011000 - 1011000000100101001100?\nAnswer: -1011000000100011110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + -0.7. Let r = -0.8 - t. Let j = r - 0.1. Which is the second smallest value? (a) 1\/8 (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*j + 90*j - 45*j + 463 + 396 to the form s + b*j and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1636 = 43*i - 1937. Solve -25 = -16*x + i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in 5, 4, 0.178, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-6) + (-4)\/(-6). Let l = 0.3 - 0.5. Let t = -0.3 - l. What is the closest to -0.1 in s, 2\/9, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -143 - -163. Solve -k + 5*k = -v for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1379, -1387, -1409, -1451, -1519, -1619, -1757, -1939?\nAnswer: -2171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*m + 16 = 0. Suppose -2*o + 5*x + 1 = 4, 0 = -3*o + 4*x - 8. Is o > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49095916?\nAnswer: 2, 12273979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 78 + 87. Find t such that -290 + 13*t + 122*t + 12*t**2 + k + 158 = 0.\nAnswer: -11, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 8. Let f = -0.42 + 0.4. Let v = -0.32 - f. Which is the second smallest value? (a) -2\/5 (b) t (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -245 - 230 - 4*o + 489 + 16*o as n + v*o and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 1 - 10. Let v be ((-10)\/6)\/(18\/(-27) - (-119)\/21). Which is the closest to -0.1? (a) -3 (b) i (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**2 - 2800804*x\/7 - 1600464\/7 = 0.\nAnswer: -4\/7, 200058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -168*m**2 + 100*m - 12. Let k(g) = 67*g**2 - 40*g + 5. Let h(o) = -12*k(o) - 5*t(o). What is the second derivative of h(z) wrt z?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*n - 115, -f - f = -4*n + 92. Let v(h) = -4 + n*h - 22*h - 5. What is v(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3184)\/(-995) - (-4)\/5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 2\/5 (c) 0.1 (d) -34\/67 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4723282 and 17630?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -124 divided by 31\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*p**2 - 2*p + 14.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 1855 (c) 31\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -10*d + 10. Let a(t) = 3*t - 7. Let i(k) = -16*a(k) - 5*o(k). Let s(n) = -4*n. Determine i(s(y)).\nAnswer: -8*y + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 6324908?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-2)\/(-10) + ((-432)\/(-486) - (-85)\/(-450))?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**4\/13 + 24*g**3 + 36438*g**2\/13 + 458212*g\/13 + 1270320\/13 = 0.\nAnswer: -67, -10, -4, 237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 4. What is the remainder when q is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-1 - (-2 + (-2 - -9))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41068*t**3 - 5048*t**2?\nAnswer: -246408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -7*h**2\/2 + 3*h + 250. What is j(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 22*y**3 + 3629*y**2 - 166*y - 68. What is c(-165)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 8 + 5*p + 7 + 16 - 6*p. Let h = 12 + -4. What is the smallest common multiple of h and m(9)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*w**3 + 35*w**2 + 17 + 26*w**2 - 56*w**2 - 12*w**3 - 5 - 54*w**4 + 8*w wrt w.\nAnswer: -1296*w - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1318, 1332, 1346, 1360, 1374?\n\"Answer: 14*a + 1304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 118 by -94.\nAnswer: -59\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(96) + (sqrt(96) - (sqrt(96) + (sqrt(96) - (-4*sqrt(96) - sqrt(96)) - sqrt(96)) + sqrt(96) - sqrt(96)))).\nAnswer: -sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16538232 and 1752.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 23*r + 137 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o*o\/(o\/(o*o*o*(o*o\/(o**(-7)\/o)*o)\/o*o*o*o))*o*o)\/((((o*o**0\/o*o)\/o)\/o)\/o)*o**(-2\/23)\/o**0 assuming o is positive.\nAnswer: o**(527\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1)*o**(2\/9))**(-31) assuming o is positive.\nAnswer: o**(217\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(1\/(-4))*(399\/(-114))\/(4\/(-14))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3172 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - t + 3 = 0, -4*z + 2*t = -2*t + 12. Which is smaller: 1\/622 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(171) + sqrt(171)*3 - sqrt(171)))\/(sqrt(576)*2).\nAnswer: -9*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 182\/8*(-15)\/(-35). Let k = -9 + v. Sort -1\/3, k, -4\/9.\nAnswer: -4\/9, -1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -5, -36249, 2 in descending order.\nAnswer: 2, 1, -2, -5, -36249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**3 + s**3 - 4*s**3)*(-998 - s + 1950 - 758).\nAnswer: -s**4 + 194*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2928 a factor of 1214868192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmrrmmmrrmrm. Give prob of picking 4 r.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -462182 (base 13) to base 9\nAnswer: -3111665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d**2 - 2*d + 8. Let s be z(6). Round s to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 30009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4574.08757 rounded to the nearest one hundred?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*a**(-5))\/a))**(-2\/21)\/(a**5)**12 assuming a is positive.\nAnswer: a**(-424\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2989, 11992, 27007, 48034, 75073, 108124, 147187?\n\"Answer: 3006*h**2 - 15*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 725957700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 72*o**2 + 60*o + 758. Calculate z(71).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -1 + 4 + -2. Let u be l - 1 - (-5 + 3). Solve -3*q + 15 = 0, -u*o + 0*q - 11 = -q for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11112 (base 6) to base 12.\nAnswer: -a98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37537696*u**6 + 324136622*u**2 + 1 wrt u?\nAnswer: -4504523520*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8207.135 millilitres to litres.\nAnswer: 8.207135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65966 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 14*r - 25. Let p be a(6). Calculate the highest common divisor of 59 and p.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 30 = 4*n, -3*d - 36 + 5 = -5*n. Let c(t) = t**3 + 4*t**2 + 3*t + 1. Let k be c(d). Solve 3*f = -9, q + q + k*f + 3 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccpcpjdddcccdmjcppcc. What is prob of picking 1 c and 1 m?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/939488 and -13\/26384.\nAnswer: 91130336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 a, and 1 x when three letters picked without replacement from axevpvevvaippvp.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 549*y - 568*y - 57 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3132 (base 5) in base 7?\nAnswer: -1134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499 is divided by 42?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 477 divide 3867516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*t - 450*t**3 - 446*t**3 + 29 - 8*t + 897*t**3 - 3*t**2 + 39 + 4*t**4 in the form o*t**4 + p + m*t**3 + f*t + v*t**2 and give p.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/37? (a) -9 (b) -5 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/8, -2\/3, -1\/3, 169, -149?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 537 = -35*h + 38*h. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1008 by 6.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 300*10.33\nAnswer: 3099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -12*x**2 - 14*x - 3. Let o(z) = 50*z**2 + 63*z + 13. Let s(k) = 18*j(k) + 4*o(k). Let u(f) = -2*f. Determine s(u(y)).\nAnswer: -64*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 - 9958*n + 52186392.\nAnswer: -2*(n - 3193)*(n + 8172)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-49)\/(-70))\/(15\/150)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + a82?\nAnswer: a80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*s + 15 - 30 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*h = 3*m - 14, -20 = 5*h - 5*m. Put 2, -4, h, 0 in decreasing order.\nAnswer: 2, h, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + 1)*3175\/50. Round y to the nearest 10.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 4*y - 49 = -17, 10 = -5*y for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 8:49 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.49792 nanoseconds to milliseconds.\nAnswer: 0.00002849792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - 0) + (109 - 75) + -7?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, -4\/7, 2\/99, -0.0084, -4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 8:29 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/4 of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 261*f**2 - 302*f**2 + 2.\nAnswer: -41*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -11, 65, 33, -1, -15 in increasing order.\nAnswer: -15, -11, -5, -1, 1, 33, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24335 + 24773. What is the third biggest value in 0, -3\/7, -2\/3, v?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11248.3 - -11248. Which is bigger: 3872 or w?\nAnswer: 3872","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -36735*b + 36731*b + 121, -84 = 2*y - b for y.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -47 + 0*w**2 + 64 + w**2 + 9*w. Let b be c(-8). Solve -5*g = -0*o - o + 11, -g + 3*o + b = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3033 (base 5) to base 9\nAnswer: -476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 597945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/126710 and 29\/886970.\nAnswer: 886970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2720264 is divided by 2696?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 59581*y**2 - y - 1. Is r(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1575*a**2 + 0 - 2 + 3150*a**2 + a**3 + 6*a - 1571*a**2 in the form z*a**3 + w*a**2 + r*a + h and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 778 and 160.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 5*j - 940, 3*f + 717 = 2*j + 2*j. Let z = j + -182. Let w(v) = 14*v**3 + 2*v**2 - 1. Give w(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 5:17 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-four fifths of a kilometer?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2. Let b(v) = 1140*v**2 + 22*v + 22. Let p(s) = 3*s + 8*s**2 + 71*s**2 + 75*s**2 + 9*s**2 + 3. Let t(f) = -6*b(f) + 44*p(f). Determine g(t(n)).\nAnswer: 220448*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -772, -523, -94, 527, 1352, 2393, 3662?\nAnswer: 5171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, j: 8, c: 1, r: 1, x: 2, k: 3}. Give prob of picking 2 x and 1 m.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-1\/17))\/g**(-23\/4))\/(g\/(g**(4\/9)*g)*g**23*g) assuming g is positive.\nAnswer: g**(-10321\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 282385.793941.\nAnswer: 282381.793941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -1 - 0)\/(-1). Suppose -f*u + 7 = 1. Sort u, -1, 3 in ascending order.\nAnswer: -1, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((0 + 5 + (sqrt(275) + 1 - sqrt(275)))*1 - (-2 + 4*2*sqrt(275)*-2))**2 + 4.\nAnswer: 1280*sqrt(11) + 70468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 255, 364, 617, 1074, 1795, 2840, 4269?\n\"Answer: 10*n**3 + 12*n**2 + 3*n + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1713*q + 4378*q + 1775*q + 93240 = 0 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 0*p + 4. Suppose -118 = p*h - 6*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 - 73*j - 149. Give d(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 95 or 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 11:03 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a + 1275 = -19*a. Let r = a - 238. Solve -2*k + i + 10 = 0, 0*i = -k - 5*i - r for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4858345 - 3?\nAnswer: 4858342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 6:56 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (w**4 - 3*w**4 + 0*w**4)*(12 - 10 - 14) in the form k*w + o*w**4 + v + c*w**2 + a*w**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.7944662 minus -0.3?\nAnswer: -8.4944662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34811 + -14674. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 128 and 208?\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -168500 to the nearest 10000.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1001644740.50000066 - 1001644828.5. Let u = -88 - j. Round u to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m + 8 + 172 = 0. Let a(k) = -k - 7. Let x be a(m). Suppose -x*t - 629 = -5898. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a year?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 8, -4*j = 3*u - 237733 - 204106. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**7\/105 + 31*v**6\/15 + 41*v**5\/10 + 703*v**2. Factor k(a).\nAnswer: 2*a**2*(a + 1)*(a + 123)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -86, -113, -122, -107, -62, 19?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60595705?\nAnswer: 5, 107, 191, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z + 6. Let s be u(6). Suppose 7*y + 24 = 19*y. Suppose 14 = 3*j + y. Solve 3*p + 6*g = 2*g + s, p - j*g + 12 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-666))\/(9*9\/324)\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/16 (b) 3\/41 (c) -7 (d) -0.1 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -19*c**3 - 3*c**2 - 4*c. Let d(x) = 57*x**3 + 8*x**2 + 11*x. Let t(o) = 3*d(o) + 8*p(o). Find the second derivative of t(g) wrt g.\nAnswer: 114*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -76 - -78. Suppose 4*r + 16 = 0, d*q + q + 3*r = 129. List the prime factors of q.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*l + 24 = 0, 2*o - 15 + 3 = -3*l. Suppose -2*k = 5*a - 20, 19 = 5*k - o. Calculate the least common multiple of 20 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 111 and 131101824?\nAnswer: 4850767488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**4 + 121648*k**3 - 729802*k**2 - 851452*k = 0.\nAnswer: -1, 0, 7, 60818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = -3 + 11. Let v(h) = -2*h + 4. Let y be v(3). Put l, 5, y in decreasing order.\nAnswer: 5, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xep when three letters picked without replacement from vegxpek.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (164\/(-1148) - (-184)\/14) + -10. Let j(m) = m. Let z(k) = 1. Let f(a) = -j(a) - z(a). Let g(x) = -4*x - 5. What is v*f(c) - g(c)?\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1643, 1854, 2059, 2258, 2451, 2638?\nAnswer: 2819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 541*k**6\/6 + 9562*k**3\/3 + 11359. What is the third derivative of a(j) wrt j?\nAnswer: 32460*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 848\/11448 + 219\/(-1863) + 0?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/(-22)*-1*2. Suppose -12 = -4*n + n + b, 12 = -n - 5*b. Let u be 1*n*4\/(-54). Which is smaller: x or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 5, -5 in descending order.\nAnswer: 5, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 78813 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: Calculate the remainder when ((-217)\/4)\/((-1)\/4) is divided by -10 + 15\/3 - 5*882\/(-105).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 - 33. Suppose -5*n = -4*n - a. Let f be (n\/1)\/(6\/4). Solve 4*h + 4 = 2*s, 6*h - 4*h = -4*s - f for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 174671382 and 9?\nAnswer: 524014146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.365458 millilitres to litres.\nAnswer: 0.001365458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 422*x**4 + 150 wrt x.\nAnswer: 1688*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2\/11*t**2 + 2\/11*t**4 + 0 - 4\/11*t**3 + 4\/11*t = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 405*y + 20. Is c(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 5 (b) -0.5 (c) 1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 11*h**2 + 8*h - 9. Let f = -2 - -6. Suppose 3*o + 62 = -5*r + 7, 0 = f*o - 4*r + 20. What are the prime factors of m(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) -0.1 (c) -5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 181.565 and -0.42.\nAnswer: -76.2573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2 = 4*z, -9*z + 3*c - 6 = -6*z. Let 0 + 6\/7*l**2 + 6\/7*l**z + 2\/7*l + 2\/7*l**4 = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/9)\/((-52)\/(-78))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1453, 5786, 13011, 23128, 36137, 52038, 70831?\nAnswer: 92516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26704059*c**3*o - 9724351*c**3 - 1 wrt o.\nAnswer: 26704059*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3082 + 3142. Solve -12*y = -2*y + j for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*u = u + 25, -3*u = 5*s + 15. Let y be (2\/(-6))\/((-10)\/(-450)*-5). Suppose -b - 2*r = b - 12, -y*r = s. Which is greater: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -154, -266, -378?\nAnswer: -490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(17) - (sqrt(1088))**2) + (4*4*sqrt(17) - sqrt(17)) + -5.\nAnswer: 10*sqrt(17) + 5435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -244155 divided by -11\nAnswer: 244155\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from idvjo. What is prob of sequence djo?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*b - 5099, 32 + 5075 = 3*k - 2*b. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 435090.1 decades to centuries.\nAnswer: 43509.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2252770 rounded to the nearest 100000?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 4*u - 9 - 3, 6 = 2*u. Suppose 0 = z - c*z - 35. List the prime factors of z.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*v - 37 - 155 = 11*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 319\/2233*(7 - 168)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + b + 0*b)*((b - b + b)*(2*b**2 + 2*b**2 - 2*b**2) + 12*b**2 - 12*b**2 - 6*b**3).\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvvevveevvvvvee. Give prob of picking 3 v and 1 e.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27806 - -0.31.\nAnswer: 27806.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 176\/12 + (-2)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r + 62. Let b be d(0). Let n be b\/(-1 + (-12)\/(-4)). Suppose -2*m - n = -45. Solve -5*v + 0*a = 2*a, -v + m = -a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -104.11 + 103. Let n = u + 1.08. Let w = 1 + -6. Which is the second biggest value? (a) w (b) -3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77343249 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of k**4\/12 + k**3\/6 - 21*k**2 + 4*k - 1. Let c be q(-7). Solve o + 4*w - 6 = 3*o, c = -w + 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**2 + 5*x + 5. Let r be 64\/12 - (-1)\/(-3). Let f(h) = -h**2 - h - 1. Let w(b) = r*f(b) + n(b). Let k(g) = 2*g. Give w(k(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271535 is divided by 421.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.1 + 0.1. Let q = -1\/28 + 2\/7. Let o be (-2)\/18*(-1 + 3). Which is the nearest to -1? (a) k (b) o (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 5*h + 9. Suppose -2*n - 7*c + 18 = -h*c, 4*c - 23 = 3*n. Let u be n\/4 + 9*21\/36. Sort u, 1, -4 in increasing order.\nAnswer: -4, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 + 115. Suppose -2*a = b - s, 0*b - b + 105 = 4*a. Calculate the remainder when 81 is divided by a - 20\/(15\/(-3)).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*o**2 + 678416*o - 898374.\nAnswer: -4*o + 678416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**6 + 9383*a**5*p + 2806*a**2*p - 2*p wrt a.\nAnswer: -120*a**3 + 562980*a**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0097905506 rounded to 6 decimal places?\nAnswer: -0.009791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 78742194, 78742191, 78742188, 78742185, 78742182?\n\"Answer: -3*a + 78742197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -621*f**2 - 10*f**3 + 621*f**2 + f.\nAnswer: -10*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 54. Let u be l(-7). Suppose -5*a - 45 = -5*c, 6*a = 4*c + u*a - 48. Solve -c - 32 = 9*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 460945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/7)\/((-4)\/(-10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 s, and 1 u when three letters picked without replacement from dqqhdsuduu?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**5 + 245348*c**4\/5 - 8511344*c**3\/5 + 20176048*c**2\/5 + 9447936*c\/5 = 0. Calculate c.\nAnswer: -12302, -2\/5, 0, 3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 3*i + 6. Suppose 3 + 9 = 3*o. Let z = o + -8. List the prime factors of q(z).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*v**2 + 33*v - 31*v - v**2 - v**2 as s*v**2 + r + h*v and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -4.62, -0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gqqg when four letters picked without replacement from {f: 2, o: 3, q: 2, g: 2}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 115 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -34583, -71187, -107791?\n\"Answer: -36604*r + 2021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = -15*n - 4*n. Suppose -6*o - 900 = -n*o. Round o to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zbbzggbxzgzrzbzbb. What is prob of sequence gxrg?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 2 - 4. Let r = s + -7. Is r < -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + sqrt(242) + -4 - (sqrt(242)*-1 + 1 + ((sqrt(242) + -1)*-2)**2))*4.\nAnswer: -3916 + 440*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/11, -28.4, 47, 0.4, 1\/46?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -665, -1164, -1665, -2168, -2673, -3180, -3689?\nAnswer: -4200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 9:56 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 36\/27 + (-5)\/(-3). Let b = 8 - m. Solve -b*c - 5*y = 0, 5*y + 0 = -4*c - 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -251404 (base 8) to base 6\nAnswer: -1505444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -181, -168 in descending order.\nAnswer: -1, -168, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11226 is divided by 70.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11178 + 2706 = 12*b. Calculate the remainder when b is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11767 times -11146\nAnswer: 131154982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 52\/7? (a) -2\/17 (b) 2 (c) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wt when two letters picked without replacement from dwtddwddtdddtdwwddd.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzzggzgrg. Give prob of sequence zr.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 5*i - 52, 68*i + 120 = 4*k + 70*i. Suppose 33 + 29 = k*w. Factor 8*m**w - 16\/3*m + 0 - 4*m**3 + 2\/3*m**4.\nAnswer: 2*m*(m - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4330415, -4330512, -4330609, -4330706, -4330803, -4330900?\n\"Answer: -97*v - 4330318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -13*i - 8 + 1\/3*i**3 + i**2. Let z be h(-6). Solve 3*u - z - 1 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -429.5581 and 0.04.\nAnswer: -429.5181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**2 + 119*g + 570. What is the remainder when (1323\/45)\/((-1)\/(-5)) is divided by m(-5)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 42792 and 42793 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -15, -27, -39?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3581310 divided by -596885.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14053426 to the nearest integer?\nAnswer: 3749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-2*v + 2*v - 3*v) + (-3 + 0 - 6)*(-2*v + v - v)*(2 + 1 - 4) - 6*v + 8*v + 6*v + 0*v - 4*v + 3*v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 10440024?\nAnswer: 10440033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8297509?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 165\/33 + 0\/(1*-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101110 - 101?\nAnswer: 10101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.38 + -2.62. Put 0.4, w, 1\/6 in descending order.\nAnswer: 0.4, 1\/6, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 4*i**2 - 16*i - 2 + 3 - 2 = 0. Calculate i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -75, -266, -637, -1248?\nAnswer: -2159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 7:36 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2433659, -2433674, -2433689, -2433704?\nAnswer: -2433719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 11*b**2\/2 - 6*b - 1. Is s(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x + 254794 - 254794.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 550407247 divided by -1094249?\nAnswer: -503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) 4 (b) 2\/7 (c) 763\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297*b - 83*b + 200*b.\nAnswer: 414*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 275, 1097, 2453, 4331, 6719?\n\"Answer: -2*s**3 + 279*s**2 - s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c = -2*c - 105 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 27*d**2 + 6*d. Let j(x) = 27*x**2 + 7*x. Give -4*j(l) + 5*o(l).\nAnswer: 27*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -46 + 72 + 75 - 16 - 2049*y**2 - 1386*y**2 wrt y?\nAnswer: -6870*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 122638?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.021 + 6.681. Put l, -0.2, -1\/4 in decreasing order.\nAnswer: l, -0.2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3 = -4*w. Let z = -14 + 17. Let m be (4\/10)\/(2\/(-10)). Put z, m, w in increasing order.\nAnswer: w, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.96 - 1.96. Let a = 60 - 182\/3. What is the nearest to 1 in a, -2, x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3077227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 424140 is divided by 12470?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -1) + 1200\/110.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**3 + 378*a + 8 - 3*a**4 + 6*a**2 - 5*a**2 - 381*a + 0*a**3 as r*a**4 + k*a**3 + z + o*a + w*a**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 454 or 453?\nAnswer: 454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 31 + 16 + 10 - 125\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 23 + 83. Let t be 1*6 - k\/(-4). What is the second derivative of d + 4*d**3 + 2*d - 6*d**t wrt d?\nAnswer: -12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 28\/(-7) + -1*1. Let b = g - -7. What is the units digit of b\/(-11) - 136\/(-22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6473 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (0 - 8\/(-3)). Let d = -0.067 - -33.067. Let r = d + -32.9. Which is the closest to 1? (a) r (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 6*z + 3*u - 27 = 0, -4*z = -2*u + 20. Let q be 12*27\/(-36) - (2 + -8). Is z < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -2\/7 (b) 2 (c) 0.139\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 4*a + 26, -112288*a = -112293*a + 20*j + 125 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10757 divided by -4621\nAnswer: -10757\/4621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**5 + 1113502*w**4 + 4453984*w**3 + 4453976*w**2 = 0. What is w?\nAnswer: -556747, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 10\/(-6) + (-56)\/(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -344331 divided by 8829?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 18 - 2 = -5*h, -5*h = -3*g - 12. Suppose -l + 154 = -w - 3*w, -3*l - h*w = -447. Is 27 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7478 (base 15) to base 6.\nAnswer: -310022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (-1 - -2) - -6. Suppose o*h = 4*u - 42, 0 = -4*u - u + 3*h + 46. Solve -k - 4 = 4*k - 2*n, -k - 2*n - u = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-35)\/15 + (-1)\/(-3). What is the remainder when 339 is divided by (-11)\/((3\/6*y)\/1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28\/45 + -2\/45. Which is the closest to z? (a) 1\/3 (b) -2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 at least as big as -2\/256735?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 2, 34, -0.1, 3\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 m when two letters picked without replacement from rrrvvvbbvvorrrmbv.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - 212?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -56 - -20. Let z(f) = 818*f - 4086. Let g be z(5). Put g, -5, o in decreasing order.\nAnswer: g, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -s**4\/12 - s**3 - 3*s**2 - s. Let h = 0 + -4. Let r be c(h). Solve -3*n = -r*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 1639*j**5\/60 + 361*j**4\/8 + 7*j**3\/6 + 5*j**2 + 3*j + 1. What is the second derivative of d(k) wrt k?\nAnswer: 3278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.14 - -0.14. Let x = 4 + t. Which is the third biggest value? (a) -0.1 (b) 5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -347*j - 1324. Let i be t(-4). What is the highest common divisor of 56 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -96975, -96972, -96967, -96960?\n\"Answer: v**2 - 96976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 629337 is divided by 553?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.037? (a) -0.3 (b) 128704 (c) -1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 851653 is divided by 538.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 17. What is g(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l + 0*l + l**3 + 6*l**3 - 7*l**3 - 5*l**3 + (-3*l**2 + 6*l**2 - 2*l**2)*(-2 + 2 + l).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1775, 5025, 11215, 21815, 38295, 62125, 94775?\nAnswer: 137715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 5:28 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 98301 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1198 - 1086 = -37*o - 2173 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 - 15 - 12) + 0 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4581000 rounded to the nearest 100000?\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((409131\/12)\/9)\/(21\/56)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 232, 244, 238, 214?\n\"Answer: -9*i**2 + 39*i + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2\/2 - 869*s + 9308.\nAnswer: -(s + 358)*(5*s - 52)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -364 (b) -2 (c) 2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -4 + -1 - (-23 + 4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -u**7\/189 - 7*u**6\/135 - u**5\/9 - 203*u. What is i in o(i) = 0?\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3027273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 87\/2 of a day?\nAnswer: 1044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, 1\/10, 8, -0.09?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 136.3 - 136. Let x = 4.714 - 0.194. Let k = x - 4.5. Put -5, 4, i, k in decreasing order.\nAnswer: 4, i, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 39 - 150 + 58 - 11*x. Is 5 a factor of n(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/4 - -1)\/((-19)\/((-380)\/(-30))). Which is the third biggest value? (a) 5 (b) 0.18 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 1, -864, 3\/4?\nAnswer: -864","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.823 - -0.277. Let x = a - 6.58. What is x rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*j**2 - 3 - 12*j**2 + 172*j**2 - 64*j**2.\nAnswer: 63*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmkknnmknnn. What is prob of sequence mnk?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -75*w + 40*w + 26*w. Let u be i(-2). Solve u = -2*r + 8 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) -465\/2 (c) 172 (d) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3997 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*y + 56, -p - p + 5*y = -5. Calculate the remainder when 37 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/980640 and 83\/7264.\nAnswer: 980640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6094069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqd when three letters picked without replacement from {k: 1, q: 1, u: 1, e: 1, n: 1, d: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**8\/20160 - g**7\/2520 - 4*g**5\/15 + 35*g**2. Let c(y) be the third derivative of n(y). Determine b so that c(b) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/32 of a kilogram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 15*q + 1. Let r(j) = 30*j + 2. Let k(c) = -13*b(c) + 6*r(c). Is k(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggmmgm. What is prob of picking 1 m and 1 g?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-10))\/((-9)\/45).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -276 (b) 3\/2 (c) 2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.36 - 5.36. Is -0.3 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**3 - 128*k**2 - 3141*k + 1253. What is m(60)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 138 and 12?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 146 + -145. Let x be 3 - (0 - 0 - 0). Let i = x + -1. What is the remainder when i is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101978 - 26*c**2 + 2*c**3 - 203950 + 101972 - 35*c**2 - c**3.\nAnswer: c**3 - 61*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 40647 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/21)\/1)\/((2\/(-1372))\/((-433)\/1732))\nAnswer: 49\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33872 = -30*d + 47278. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.07, -3, -0.1, -2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**3 + 2*k**3 - 5*k**3 + (2*k**2 + 1 - 1)*(-k + 2*k - 3*k) + (-k**2 + k**2 + k**3)*(-10 - 6 + 5) to the form o*k**2 + c + g*k**3 + d*k and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5059, 10140, 15233, 20344, 25479, 30644?\n\"Answer: c**3 + 5074*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 8:39 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**3 - 102*g**2 - 208*g - 68. Determine j(36).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 359425 and 165?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/19 (b) -3 (c) 2 (d) 4 (e) 1\/133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 328\/(-369)*(-3)\/(-2).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 48 + 0*k**2 - 48 - 3*k**2. Let l(f) = 3*f + 4. Let j(z) = -1 + 3 - 3. Let g(r) = 4*j(r) + l(r). Calculate t(g(a)).\nAnswer: -27*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6722393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 6 + 7*b**2 + 4*b**2 + 2*b - 11*b**2. Calculate x(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.29488 to one decimal place.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008940829 to seven dps.\nAnswer: -0.0000894","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8218674 and 30?\nAnswer: 41093370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 8:36 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 43550 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: b\"What is the ith term of -1324169, -2648343, -3972519, -5296697, -6620877?\n\"Answer: -i**2 - 1324171*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 3*f = -26, 5*z + 1250 = 6*z - 5*f + 605 + 609 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -156105 - -170748.4. What is z rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 478*p = 17*p + 19362 for p.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**8\/336 - 17*h**7\/210 + 31*h**6\/60 + 49*h**5\/30 - 21*h**4\/8 - 27*h**3\/2 - 40*h**2. Factor z(f).\nAnswer: (f - 9)**2*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - c. Let m(x) = x**3 + 6*x**2 - 7*x. Calculate -4*l(s) + m(s).\nAnswer: s**3 + 2*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463455.\nAnswer: 3, 5, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*d**2 + 1 + d - d**4 + d**3 + d - 12*d**2 to y*d + h*d**3 + t*d**4 + c*d**2 + x and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t**2 + t - 2. Give a(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12*(0 - (-3)\/6). Let m = u - -4. Solve -m = -y - 4*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 707 + -707. Suppose -4 = -2*o - 0*o. Solve o*a - p + 4 = g, -p + 8 = -5*p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 49 = 3*p - 163, -4*p = -5*q + 128. Let l(k) = -10*k**3 + 8*k**2 + 23*k - 1. Let x be l(-4). Suppose 3*z - q = x. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(187)*-6)\/(sqrt(44)\/sqrt(4)*-5).\nAnswer: -12*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.75816 centimeters to millimeters.\nAnswer: 707.5816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s = -16*s + 20. What is the tens digit of 2*s*(3 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1796, -1886, -1994, -2114, -2240?\n\"Answer: y**3 - 15*y**2 - 52*y - 1730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + (58 + -30 - -10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272*c + 842688 = 424*c. Is c a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 3*z. Suppose -3*o = -o + 2, -3*k + 5 = -5*o. Suppose -4*r = r + 3*n, k = -4*r - 5*n + 13. What is s(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 872?\nAnswer: -877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21279880759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((1130\/(-904))\/((-10)\/12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 7971.2.\nAnswer: 31884.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, e: 1, g: 2, b: 1, q: 1, d: 1}. What is prob of picking 1 w and 1 d?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -252, 4 in descending order.\nAnswer: 4, 1, -3, -252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.12 + -5.12. Let z = -8 - d. Suppose -3*o + 2*o = q + 4, 4*o = 2*q - 22. Which is the closest to 0.1? (a) o (b) z (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319273567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100301001121 (base 4) to base 14.\nAnswer: 8259d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*c - 16128 = 146*c + 49*c + 105*c for c.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 - 3*k - 2. Let d(p) = p**3 + 12*p**2 - 14*p - 15. Let z be (918\/(-4))\/9*(1 + -3). Suppose 55*o - z*o = -52. Let w be d(o). What is g(w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - -5*(sqrt(187) - sqrt(187)*2))\/(-2*sqrt(11)*3).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 498*h**3*p**4 - 3*h**3*p**3 + 48*h**3 - 24 wrt p.\nAnswer: 1992*h**3*p**3 - 9*h**3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2125993.\nAnswer: 2125993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 266 + -266. What is the nearest to 1 in p, 5, -2\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a + 6. Suppose -3*b + 3 = 0, 9 = -5*x + 3*x - 3*b. Determine k(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 102 = -3*s + 5*s, -2*y - 2*s = -82. Let o = y - -49. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 861\/58 bigger than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xntnxootx. What is prob of sequence tx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 29 + (-36)\/252 - 29. Let b = -1111\/2 - -542. Which is bigger: b or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.11, 44\/3, -2 in ascending order.\nAnswer: -2, -0.11, 0, 44\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/4))**(-49)*(s*s\/(s**(4\/5)\/s))**(-2\/97) assuming s is positive.\nAnswer: s**(71207\/1940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-11)*(x*x\/(x*x**(1\/12)*x*x))\/x)\/(x**2\/(x*x\/(x**(-4)\/x))) assuming x is positive.\nAnswer: x**(-97\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05 + -0.15. Which is the second biggest value? (a) -2 (b) r (c) 2\/51 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - 0.1. Let g = 0.31 + 0.69. Put -0.2, g, y in decreasing order.\nAnswer: g, y, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5375428.6 to the nearest ten thousand.\nAnswer: 5380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) -0.5 (b) -2\/15 (c) 1\/308\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*i + 2*i + i)*(3*i - 3*i + 2*i**2) to the form l*i**2 + q*i**3 + g + n*i and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 71, 150, 251, 368, 495?\nAnswer: 626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-168)*203*2)\/((-2)\/4).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -168410311\/20 + 8425503. Let y = u - 4993. Calculate the common denominator of 33\/14 and y.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p. Let k(x) = 35986*x + 2. What is a(k(g))?\nAnswer: 71972*g + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 664730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1680)\/1344*(-48)\/(-3)*1\/6.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33424? (a) -1\/4 (b) -2\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {h: 3, y: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -12 - 110\/(-15)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -270*k + 1614. Give j(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3817968 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p - 2*p**2 + 4*p**4 - 3*p**4 - 2*p**3 + 0*p**4 - 3*p**4 - 2 as j*p**2 + k*p + r*p**3 + u*p**4 + b and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -5, 0, -221, -98, 4 in descending order.\nAnswer: 4, 3, 2, 0, -5, -98, -221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -m**4\/8 + m**2 - 4*m. Determine y(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13961?\nAnswer: 23, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 749143134 a multiple of 3210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -211*z**2\/2 - 681*z + 1220. Differentiate v(d) wrt d.\nAnswer: -211","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**5 + 4350*h**4 + 26164*h**3 + 17460*h**2 - 26162*h - 21810 = 0.\nAnswer: -5, -1, 1, 2181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 55?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of 7\/6*t**3 + 5\/6*t**4 + 1\/2*t**2 + t - 4. What is the second derivative of b(k) wrt k?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**3 - 62512*x**2 + 144722900*x = 0. What is x?\nAnswer: -17675, 0, 2047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -175 (base 12) in base 5?\nAnswer: -1413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-1))\/(-1 - 0). Let x = p - -2. Suppose 4*o - 4*z - 20 = 0, -z = 3*o + x - 8. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**3 - 1 + 2*y**2 + 0*y**3 + 8 + 0 to the form w*y + p + g*y**2 + z*y**3 and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -170*a**3 - 18*a**2 - 88*a - 11. Let g(w) = -57*w**3 - 6*w**2 - 32*w - 4. Give -11*g(h) + 4*y(h).\nAnswer: -53*h**3 - 6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3399 + 3397. Is k >= -231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 1 - 1)*(3*m - 2*m + 0*m) - 8 - 4*m**2 + 8 + 28*m - 28*m - 20*m**2.\nAnswer: -26*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108000012 = -5*v + 7*v. Suppose i = -i - 5*n - 27000010, v = -4*i - 3*n. What is i rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/8026 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 2 + -2 + 0 + 7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**4\/3 + a**3 + a**2\/3 - a + 1\/3 = 0. What is a?\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 0 - (-11 + -4 + 20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**7\/2520 + t**4\/24 + t**2. Let w(n) be the second derivative of x(n). Let i(m) = 101 - 101 - m. Determine i(w(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -119 + 79. Which is the nearest to 1? (a) v (b) 2 (c) -4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 10:04 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.08770701 rounded to 1 dp?\nAnswer: -54.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 39 = 3*i. Let j(b) = b - 1. Let t be j(i). Suppose f - 3*o - t = 0, 4*f - 11 = o - 0*o. Solve -f = z + z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45013 is divided by 14990?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15663 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2421742 is divided by 73383?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -12, 68, 1\/46, 2\/11?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 39*t - 25. Is p(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*n**5*x + 7*n**4*x - 175*n**3 - 77540*n**2*x + n*x + 1 wrt n?\nAnswer: 840*n**2*x + 168*n*x - 1050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*i + 5*i - 42*i - 25*i + 107*i.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 24*n**2 + 23*n - 28. What is v(-23)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 35 + 62 - 39 = 5*s, 21 = 3*d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3620, -14165, -31718, -56261, -87776?\nAnswer: -126245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 554, -0.3 in ascending order.\nAnswer: -0.3, 0.4, 554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 471 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4234.82 + -4235. Put -6, d, -1\/3, -5 in descending order.\nAnswer: d, -1\/3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 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 prob of sequence kkck when four letters picked without replacement from kkckkkkck.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 465399 and 14925.\nAnswer: 2315360025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 p when three letters picked without replacement from kkvdpd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Let j = -116 + 118. Find z such that 0 - 1\/2*z**j + 1\/2*z = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of v**4\/4 + 4*v. Let b(z) = -1 - 2*z + 6 - 5. What is j(b(o))?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = -2*m - 101 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -314482 and -314480 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (0 - (14 + (-5 - 2))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/109 (b) 2 (c) -3\/2 (d) 0.3 (e) 3\/7 (f) -0.279\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmrrrmrmrmr. Give prob of picking 1 m and 1 r.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 159 by 151479.\nAnswer: 53\/50493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49)\/((-98)\/(-8))*4\/20.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.372 - -0.963. Let s = j + -0.491. Let z = 4 + -9. What is the closest to s in -3, 0.4, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 10 = -4*o, -4*o + 4*y = 5*y + 2. Which is the closest to o? (a) -2 (b) -3\/7 (c) -1\/3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 4278812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 116 and 288?\nAnswer: 8352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**4 + 7980*r**3 + 3991976*r**2 + 11920128*r + 7936128 = 0. Calculate r.\nAnswer: -996, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*775.\nAnswer: 3100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1089990148?\nAnswer: 2, 13, 23, 911363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + sqrt(2299))*-4)**2.\nAnswer: 919600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.96, -10\/7, -2 in increasing order.\nAnswer: -6.96, -2, -10\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -13. Let h(o) = 4*o**3 - 3*o**2 + o. Let c be h(3). Suppose 3*f - 2*t - c = d, -3*f + 131 - 47 = 5*t. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m*n*t**4 - 2*m*n*t**2 - 4*m*n*t + 321*m*t**4 - 7*m*t**3 + 6*m*t**2 - 907*m wrt t.\nAnswer: 24*m*n*t + 7704*m*t - 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -80077 - -80076.599989. Let f = 0.4 + y. What is f rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2437576 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -96461.768 and 0.2.\nAnswer: -19292.3536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2820, -11282, -25386, -45132?\n\"Answer: -2821*g**2 + g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((r\/(r\/(r**(-4)\/r*r))*r)\/r)\/r)\/r**5)\/(r**(-1\/6))**(2\/95))**(1\/14))**(-3) assuming r is positive.\nAnswer: r**(407\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 5*n + 88. Let j be s(7). Suppose 14*i + 41 = 15*i - j*y, 2*i + 4*y = 118. What are the prime factors of i?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 848570\/80 - (-6)\/(-48).\nAnswer: 10607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 3. Suppose 106 = 2*i - 2*u, -m*u + 8 + 0 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2\/7)\/(7\/98) + 165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and 1.7.\nAnswer: 15.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2261 - -2258. Let b(u) = u + 6. Calculate b(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19a13 - 36?\nAnswer: -19a49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 6*s**2 - 3*s - 6. Does 4 divide r(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 663 is divided by 27.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48284565.4 + -2.4.\nAnswer: 48284563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 245, 549, 853, 1157?\nAnswer: 1461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 2)*(9*p - 2*p - 3*p) + p + 1 + 1 + p in the form j*p + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -2 (c) -3\/8 (d) -5 (e) -5\/46\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000086372349 to six decimal places.\nAnswer: -0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(12\/(-60)) + -12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 - 408069*q**2 - 63604008*q - 2479844484.\nAnswer: -3*(q + 78)**2*(q + 135867)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 465*h + 57*h + 296*h = -372*h - 143990 for h.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*k, -5*k - 25 = -5*w - 0*k. Let s be ((-27)\/(-12))\/(w\/((-24)\/(-2))). Solve 16 = 2*i - 4*i - 3*o, -i = 2*o + s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 g when three letters picked without replacement from {o: 1, y: 4, h: 2, g: 4, v: 2, d: 7}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**3\/3 + 1. Let p(h) = -5*h + 103 - 103. Let q(k) = 4*k. Let b(m) = -5*p(m) - 6*q(m). What is b(u(f))?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 87 = 4*r + 197, -r = -w + 64. Let s = -1162 - -11629\/10. Find the common denominator of r\/(-42) - 2\/7 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1159383, 1159382, 1159381, 1159380?\n\"Answer: -d + 1159384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -21*x**2 - 9*x - 7. Suppose 16045 = -3*h + 16087. Let f(q) = -11*q**2 - 4*q - 3. Calculate h*f(a) - 6*v(a).\nAnswer: -28*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -4.96 (c) -1916 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-4))\/(m*m**0)*(m**(2\/3)\/m)\/m*(((m**(-1)\/m)\/m*m*m)\/m)\/m*m**4\/(m*m**1)*(m*m**(-3\/8)*m)\/((m**5*m)\/m) assuming m is positive.\nAnswer: m**(-233\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -238, -536, -1020, -1690, -2546?\nAnswer: -3588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1209131461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 227704573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f**2 + 6 - 8*f**2 + f**2 + 0 + f**2 + 0 + (-2*f + 3*f + 0*f)*(3*f + 4*f - 6*f) + f**2 - f + f.\nAnswer: f**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -66728.\nAnswer: 6672.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -206517, -412866, -619215?\nAnswer: -825564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 9*q + 2. Let s be t(9). Let b(j) = -7*j**2 + 0*j**3 + 12*j - 13 + j**2 - 12*j**2 - s*j**3. What are the prime factors of b(-10)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/289 + (-62)\/(-51)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/6 - 172*d\/3 + 3542\/3.\nAnswer: (d - 322)*(d - 22)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2530 divided by -1265.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2520 + 2527. What is the lowest common multiple of u and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**8\/168 - w**6\/120 + 43*w**5\/30 - w**2 + 23. Find the third derivative of a(y) wrt y.\nAnswer: 120*y**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 18, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 38\/1*2\/(-8)*-778. Suppose -4436 = -3*a - 2*h, -10*h + 11*h = -5*a + y. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 2*g - 21 = 4*i, 9 = -2*i + g. What is the second biggest value in 195, i, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1247302 (base 12) in base 11?\nAnswer: 2025058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 11 = 5*a - 0*z, 0 = 5*a - 5*z + 5. Let v be (-1)\/(-2)*(3 + a). Suppose -6*n - 32 + 14 = v. Is n less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 r when four letters picked without replacement from rtrtttrtdrv?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.62? (a) 2\/9 (b) 1 (c) -1\/8 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243 + 354 = 128*o - 2321 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.839 - 0.199. Let v = 13 - 12.3. Let f = v - h. What is f rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/7 (b) -5 (c) -30\/7 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**3 - 13*t**2 - 15*t**2 + 5*t**2 + (-t**3 + 5*t**3 + 2*t**3)*(-1 - 3 + 2) - 3*t**3 - 2*t**3 + 3*t**3 + 2*t**3 + 5 - 5.\nAnswer: -14*t**3 - 23*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -3.1. Let x = -10 + 4. Let f be (3\/17)\/(x\/(-4)). What is the smallest value in -2\/17, r, f?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 3*j + 418 + 478, 0 = -3*y - 4*j - 672. Let r be (-928)\/y - (-6)\/7. Let d(c) = 1 + 11*c**3 + 3*c**2 + 0 - 12*c**3 + 7*c. Calculate d(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 1 + 4*g - 4 - 5*g + 1. Let v be (-16)\/(-12)*9\/(-2). Let i be (-2)\/(-4) - (-21)\/v. Give l(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136533 smaller than 136534?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15099084 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 5*n**2 - 2*n. Suppose 10 = -2*t + 4*x, -5*x - 5 = -2*t - 4*x. Let g(p) = p**3 - 4*p**2 - 2*p. What is t*u(r) - 6*g(r)?\nAnswer: -r**3 - r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2359487\/4 + ((-30)\/480)\/(2\/(-40)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a78b3 (base 16) to base 11.\nAnswer: 429662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*i + 807 = -19*i + 183 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 415578481*3\nAnswer: 1246735443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.97 in 24, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*z - 1153475 = 5*z. Let o = z + 12252. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**2 + 53734*k - 268720 = 0. What is k?\nAnswer: -26872, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g - 4. Determine m(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from zzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 9. Suppose 0*g = -8*g + 32. Let s be ((-9)\/(-2))\/((14\/g)\/(-7)). Give y(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**5 - 1092*k**4 - 7611*k**3 - 17372*k**2 - 13020*k = 0. What is k?\nAnswer: -1085, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 20765874.\nAnswer: 20765879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/7 and -48\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 78 = 96. What are the prime factors of p?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -23*f + 301. What is the smallest common multiple of 78 and l(11)?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(7) + (sqrt(448) - (sqrt(448) - 3*sqrt(448) - sqrt(448)))**2.\nAnswer: sqrt(7) + 7170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1549, 0.08, 1?\nAnswer: -1549","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -c42 (base 15) in base 9?\nAnswer: -3708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*v = -664, 9*o + 1811 = 2*v + 229. Is o < -1906\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28923 and 622?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 266 = -437. Suppose 1258 = 47*j - 13*j. What is the greatest common divisor of c and j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 d when three letters picked without replacement from {d: 3, k: 1, v: 1, n: 4, q: 4, s: 2}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1442 - 1452. Let z(m) be the first derivative of 3*m**2\/2 + 35*m + 2. What are the prime factors of z(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rivijiiwivvj. What is prob of picking 3 i?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 360525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2688 and 11420352?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(1\/2))**(-41)*i*i\/(i\/(i**(-1\/9)*i))*i*i*i*i*i**(1\/6) assuming i is positive.\nAnswer: i**(-130\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -66 + 93. Suppose 2*k = x + 3*k - 3, 5*x - v = -2*k. Suppose -2*g + x*g - 1160 = 0. List the prime factors of g.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1401*f**2 - 4239*f + 108 = 0. What is f?\nAnswer: 12\/467, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 723520844 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9213760?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is 1976135 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16ba (base 13) in base 3?\nAnswer: 11121121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 136 - 133. Suppose 2*l - 12 - 4 = 0. Suppose 0 = 4*g - 8 - l. What is the third smallest value in g, m, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of 0*m**5 + 0 + 0*m**4 - 1\/240*m**6 + 3*m**2 + 0*m + 0*m**3. Factor z(k).\nAnswer: -k**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 697248799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - d + 0*d)*(4*d**4 - 35*d**2 + 35*d**2) - 166*d**5 + 3*d**5 - 11*d**5.\nAnswer: -162*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ye when two letters picked without replacement from {e: 10, y: 2}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 7:47 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**(-3\/14)*l**(1\/8)\/(l*l**(-6)*l)*(l\/l**(-1\/3))**4*(l\/(l*((l\/(l**1\/l))\/l)\/l*l*l)*l)**(8\/9) assuming l is positive.\nAnswer: l**(1553\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 116\/989 + 1821683\/8901. Let c = 205 - n. Sort 0.3, c, -4\/3.\nAnswer: -4\/3, c, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.469, 3.8, -0.4, 2.1.\nAnswer: -0.4, 0.469, 2.1, 3.8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 6:17 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(-30) + (-6)\/15.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -188 + 187.96. Let a = 0.2 + 5.6. Let k = -0.8 + a. What is the nearest to 0 in k, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9667891.1 and -0.3.\nAnswer: 9667890.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**3 - 4*s**3 + 2*s**3)*(4*s**2 - s**2 - 5*s**2) - s**5 - 294*s**3 - 251*s**3 + 594*s**3.\nAnswer: s**5 + 49*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22889110 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -y + 1039, 310 = 5*r + 5*y - 745. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -112 + 252. Let c = m - 141. Is -1 != c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/1018120 and 51\/127265.\nAnswer: 1018120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 302 and 1?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 498\/52783 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 15 = -n. Suppose -n*i + 87 = -3. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**4 - 459*n**3 + 498*n**2 + 60264*n + 202944 = 0. Calculate n.\nAnswer: -8, -4, 14, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 282 + -275.54. What is u rounded to one dp?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 11:16 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**(1\/3)))\/r)**(17\/5)\/(r**(-8)*r**(-2\/65)) assuming r is positive.\nAnswer: r**(1124\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.15402 millilitres in litres?\nAnswer: 0.09215402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 6*z**2 - z + 12. Let l be i(6). Suppose -3*r + 0*r = -l. What is the least common multiple of r and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*y**2 + 25*y**2 - 41*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 394879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-51))\/(2\/3).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -1. Let z = -0.04 + 0.54. What is the smallest value in 2, s, -5, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 524*h**2 - 5*h**3 - 524*h**2 - 2*h.\nAnswer: -5*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, j: 2, p: 3, n: 1, l: 3, m: 4}. What is prob of picking 2 j and 1 a?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*k - 3385, 5*x - 896 = 4*k - 3591. What is k rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1802 = 93*w + 895 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (33024936\/111270)\/(14\/5)\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**2\/6 - 1931*h\/3 + 3865\/2 = 0.\nAnswer: -3865, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 5*f - 2*r, -3*f + 11 = 4*r + r. Suppose f*c - 2 = 34. Which is greater: c or 84\/19?\nAnswer: 84\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 42315.16 centimeters?\nAnswer: 423151600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 1546*y**2 - 206*y + 824. Does 16 divide c(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 693389189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence itti when four letters picked without replacement from iftiiifitifi?\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 4.5. Let p = -3099569\/9120 + -609\/608. Let l = p - -341. Which is the biggest value? (a) 1\/8 (b) l (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 345*n - 16*n**3 + 14*n**3 - 311898*n**2 + 311893*n**2 to the form p*n**2 + f*n**3 + z*n + t and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397185 is divided by 396?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 41 = f. Let o = f + 101. Suppose -3*m + o = -5*p, 5*m - 12 = 4*p + 31. Solve -c + m - 4 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1740)\/(-24)*(7\/5 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 4403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -25045, 7?\nAnswer: -25045","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times -0.41?\nAnswer: 0.0246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/7))**(13\/3)*s**(3\/10)*s**(1\/12) assuming s is positive.\nAnswer: s**(-359\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -2, 5 in descending order.\nAnswer: 5, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 smaller than 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.43 (c) 3 (d) 1 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 273863 + -273840.0094. Let g = n + -23. Round g to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 11:43 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - 4 - (-11 - -3). Let m = -6 + s. Is (m - 51)*1\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -53.59 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -3481*t**4\/4 + 295*t**3 - 75*t**2\/2 - 549*t + 1. Factor i(m).\nAnswer: -3*(59*m - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10183.3 - -10183.76467. Let l = -0.461 + d. Round l to four decimal places.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0. Suppose -l - 3 = -r - 2, 5*r - 3*l - 7 = z. Let v(c) = r - 2 + c**2. Let y(a) = a. Determine y(v(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t - 13 + 25 - 15. Calculate z(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 2*p + 282, -4*h - p + 287 = -3*h. Suppose 13*s + 32 - h = 0. Suppose 4*t = -0*t + 32. Calculate the lowest common multiple of t and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -30 - 5. Let i(v) = 8*v + 7. Let t(k) = -7*k - 6. Let b(m) = a*t(m) - 6*i(m). Let z(s) = -4*s**2. Calculate z(b(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 950.\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 - 1.661126\nAnswer: -1.641126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 27. What is the remainder when q is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -6*a**2. Let m(o) = 1381628*o**2. What is d(m(s))?\nAnswer: -11453375582304*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddqp when four letters picked without replacement from dqpd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (((-5)\/210)\/((-10)\/750))\/(5\/70)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2666, -2792, -2988, -3254, -3590?\nAnswer: -3996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.13, -150, -0.3 in increasing order.\nAnswer: -150, -0.3, 0, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmmmr. Give prob of sequence rm.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 80*w**2. Let p(t) be the third derivative of -t**4\/24 + 129*t**2 + 2*t. Determine p(m(z)).\nAnswer: -80*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 8 = -0*g + 2*w, 0 = -3*g - 10*w - 54 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 125335002341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-3 - 1) - (2 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/35 and 3\/22300.\nAnswer: 156100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-996)\/(-16) + ((-1106)\/168 - -2)*(-30)\/50.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9624 divided by 6.\nAnswer: 1604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -6010515\/122 = -49267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.78525 rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - 3 - -3 - -77 - 3. Let p = a + -48. Suppose -q + 2*q - 3 = 0. Calculate the highest common factor of q and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of y**3 + 9*y**2\/2 + 7*y + 3. Is m(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - y - 3*y)*((-y + 0*y - 2*y)*(2*y - 5*y + 4*y) - 169*y + 22*y**2 + 169*y).\nAnswer: -76*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 63046 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15674260616 - 8*k**3 + 15674260615 + 3*k**3.\nAnswer: -5*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 15, 1874, 0, -1 in descending order.\nAnswer: 1874, 15, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*x**2 - x**3 + 4*x + 30*x**2 - 8*x**2 to l*x**2 + k*x + h + j*x**3 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 60 = -15*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108204 is divided by 6373?\nAnswer: 6236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -331, -0.5, 2, -3 in descending order.\nAnswer: 28, 2, -0.5, -3, -331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**5 - 129*t**4 + 351*t**3 + 4401*t**2 + 6318*t = 0.\nAnswer: -3, -2, 0, 9, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31.2 + -31. Let p = 59 - 175\/3. Which is the closest to 0.1? (a) w (b) 0.4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1728 divided by 6?\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -648 divided by 24\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4154e3 - -3?\nAnswer: -4154e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 36 = 12. Suppose -z*u + 11 - 51 = 4*t, 0 = -t - 1. Let d be (-8)\/6 + (2 - (-8)\/u). Solve h - 3*y = d, 4*y + 3 - 1 = 2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*((-35)\/(-14))\/(-11 + 6)*4.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37100900 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 10 = -3*u + 5*r, -3*r = -9*u - 30 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*b - 13*b - 744 = 0 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 200\/30*45\/20.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 + 3\/5*5 - -2. Let q be ((-5)\/(-20)*w)\/(81\/6). Which is the third smallest value? (a) q (b) -1\/3 (c) -6 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + k**2 + 1. Let x be o(-1). Let n be 0 + x - (-26)\/(-22). Let v = -0.287 + 0.387. What is the closest to v in 0.5, n, -3\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -17. Let b(y) = y**3 - 2*y**2 + 3*y - 1. Let q be b(h). Let s = 95 + -91. Sort s, q, 2, 3 in decreasing order.\nAnswer: s, 3, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*y - 447 = 50 + 653 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 70120 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 55003.5978 to zero dps.\nAnswer: 55004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3)*(-23 + 5*a**4 - 43 + 49).\nAnswer: -15*a**4 + 51","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/12)\/(11\/(132\/(-32))).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - 1804\/(-66))*(-6)\/(2\/(-1)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17\/23 + -50\/161. Let k be 6\/4 + (-280)\/144. What is the third smallest value in b, k, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -4, -3, 2.519, 2\/7, 3, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 27*k**2 + 2*k - 737. Calculate f(28).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 795 - 66?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1093710 rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 34*k. Let b(w) = -486563*w**2. Determine v(b(p)).\nAnswer: -16543142*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 1355958948.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, r: 1, t: 1, p: 2}. Give prob of picking 1 r, 1 t, and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of s**2\/2 - 13*s + 24. Let p be l(12). Let y(g) = 2*g - 3*g - 1 - 12*g**2 + 0. Calculate y(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0*s\/(s\/(s\/(s\/s**(-2\/31))))*s)\/(s**(2\/111)\/s**(-30)))**(9\/4) assuming s is positive.\nAnswer: s**(-300219\/4588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, n: 4}. Give prob of picking 1 n and 3 t.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 + 143 - (15 - 8).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8945 is divided by 60?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(1584)*-1 + 5 - 1*sqrt(1584)*-2*2) + 2)*3.\nAnswer: 33 + 108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1846 divided by 62.\nAnswer: 923\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -82 and -4211.54.\nAnswer: 345346.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 74027*p. Let n(q) = q. Calculate n(i(l)).\nAnswer: 74027*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away -87.56518761971?\nAnswer: 87.26518761971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3 + 2. Find the third derivative of -29*g**l - g**2 - 2*g**2 + 17*g**5 wrt g.\nAnswer: -720*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**2 - 15 + 15)*(-42*n**3 + 84*n**3 + 101*n**3) - 4*n**5 + 4*n**5 - 4*n**5.\nAnswer: -576*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-24 - -17) - (3 - -4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15338870*k**2 - 136054*k + 28 wrt k.\nAnswer: -30677740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5289 - -5324. Solve 47*s = 52*s + h for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3359, 3327, 3275, 3203, 3111, 2999?\n\"Answer: -10*z**2 - 2*z + 3371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5*a - 2. Let u(q) = -11*q - 5. Give -13*g(v) + 6*u(v).\nAnswer: -v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*i)*(-303 - 622 + 74)*(1 + 0 + 2).\nAnswer: -5106*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.33 (b) 0.1 (c) -528 (d) 2\/897\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5473247 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37*d*v**2*z**3 + 2806*d*v**2 + 503*v**2*z**3 - 8*v**2*z**2 wrt z?\nAnswer: -222*d*v**2 + 3018*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -16354 bigger than -16358?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 122664227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a minute in seconds?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 12:23 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s**2 - 4*s - 3. Let n be l(-2). Let d be (110\/n + -4)\/((-1)\/(-30)). Suppose -7*h + 3*h + d = 0. Solve h*k = 6*k - 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -7. Factor 0 + 4*w**3 + 0*w**q + 2 - 2*w**4 - 4*w.\nAnswer: -2*(w - 1)**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 210\/12*4\/(-5). Let m(t) = -t**2 + 13*t + 46. Let l be m(d). What is the highest common divisor of 8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 750, 1290, 1830, 2370, 2910, 3450?\n\"Answer: 540*p + 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 82 - b?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -314 - -4084\/13. Let t be -8*((-299)\/(-276) + -1). What is the closest to t in i, -2\/27, 2\/9?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 145.13 and -9.54?\nAnswer: 154.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/15)\/(((x*x**(-14\/5)\/x)\/x)\/x)*x**7\/(x\/(x\/((x\/(x*x\/((x**3*x)\/x))*x)\/x))) assuming x is positive.\nAnswer: x**(149\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5995875.\nAnswer: 3, 5, 59, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 53560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/18)\/(4\/(-60) - -6 - 6)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -165, 0, -16 in increasing order.\nAnswer: -165, -16, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -119 + 136. Let o = -0.56 - 0.04. Let i = 0.2 + o. What is the fourth smallest value in -2\/11, i, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 461749160?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 375 + -372. Suppose 19*a - 20*a = -x*i - 19, 5 = -i. Solve a*s = 10 - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 705055913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 393204 and 730236?\nAnswer: 5111652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 10:38 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*h + 4*h**3 + 120*h - 242*h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 78*w + 1400. Let x be b(15). Solve -5 = x*o + 21*q - 17*q, -4*o - 3*q = 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41846333 is divided by 4854.\nAnswer: 4853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 588 = 11*g - 4*g. Let d = g - 82. Solve x = 5*v - 3, 0*x - 6 = v + d*x for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(832) + 4) + (-1 + sqrt(832))**2 + -4.\nAnswer: 24*sqrt(13) + 849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101010010001011 (base 2) in base 5?\nAnswer: 12314242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**5\/30 - j**4\/2 - j**3\/2 + 4*j**2 + 3. Let y(o) = -o**2 + 6*o + 1. What is 2*t(x) + 5*y(x)?\nAnswer: -x**2 + 6*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**2 - 2392*c + 3788 wrt c.\nAnswer: -2*c - 2392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 630, 1259, 1888, 2517, 3146?\nAnswer: 3775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-1 - (16 + -10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3364 (b) 0.4 (c) 253\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 7698*b**2 + 600*b - 1199. What is the tens digit of q(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 15*n**5 - 620*n**4 + 780*n**3 + 800*n**2 = 0.\nAnswer: -2\/3, 0, 2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*h = 1, h + 0 = -m + 8. Suppose -4 = -m*j + 1. Is -1\/10 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 856, -0.4, -1\/6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -114, -7, 9 in descending order.\nAnswer: 9, -7, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 191.3371 millilitres in litres?\nAnswer: 0.1913371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18 + -14 + (-10 - (-2 + -25)). Solve n*j + 55 = 10*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 8*u - 1 + 1\/2*u**2. What is the remainder when c(-4) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 524 in 0.8, 9, -0.045?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooqo when four letters picked without replacement from {q: 2, o: 6}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 11*f - 20*f + 11*f - 2*f**2)*(3*f**3 + 2*f - 2*f + (5 - 1 - 3)*(f - f**3 - f) + 2*f**3 + 15*f**2 - 15*f**2).\nAnswer: -8*f**5 + 8*f**4 - 32*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from flsrtsffssjsf. What is prob of picking 1 j and 2 s?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1156 (base 7) in base 11?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + (2 - 4 - 0). Suppose 17*g - 10 = 12*g. Suppose 19 = -4*s + g*o - 5*o, -4*s - o = 25. Do s and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmrrmrkrkjrr. Give prob of picking 2 r.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m - 15. Give j(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wywvw. Give prob of picking 1 w and 1 v.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/12)\/g)\/(g*g*g**(5\/8)) assuming g is positive.\nAnswer: g**(-89\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 63021.15mg in micrograms?\nAnswer: 63021150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18823 (base 9) in base 7?\nAnswer: 53040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8, -44.\nAnswer: -44, -8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/9, -3\/8, 0.86?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 59965.65ml in litres?\nAnswer: 59.96565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**29\/((((p**(-5)*p)\/p)\/p)\/p**(-5))*(((p**(-1\/5)\/p*p)\/p)\/p*p*p)\/p**(-4\/5)*p\/(p\/(p\/(p*p**(-4)\/p)))*p*p**(3\/7) assuming p is positive.\nAnswer: p**(-734\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 7 = -2*f + 16, -2*y - 22 = -4*f. Suppose -f*h - 1482 = -11062. Suppose -7205 + h = -10*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/186 - 35\/62. Which is the closest to 0.1? (a) 2 (b) g (c) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**0)\/w*w)**(-32)*(w**(-2\/15)*w)\/(w**(2\/9)\/w) assuming w is positive.\nAnswer: w**(-1366\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 286232?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(2) + sqrt(7))*6 - (-2*sqrt(112))**2.\nAnswer: -448 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(5\/3)\/5*39. Let b = -21 - x. Solve -5*w - 5*a + b = 0, -3*w + 5*a + 11 = -8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 2:57 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2 - 3*j - 51. Calculate m(9).\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 712409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -28 + 13*m - 11*m**2 + 33*m**2 - 9 + m**3 - 6*m**2. Is 22 a factor of h(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -804028 (b) 0 (c) -5 (d) -1 (e) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25806328 and 58064238?\nAnswer: 232256952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.3 - 2.7. Let l = 0.063 - 0.083. What is the third smallest value in -1, 1, l, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, r: 2, f: 3, g: 3}. What is prob of sequence gruf?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 659*l*y**5 + 150*l + 6*y**2 wrt y?\nAnswer: 39540*l*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + 933. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 710, 1418, 2126, 2834, 3542, 4250?\n\"Answer: 708*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 2*c - 5*p, -3*c + 5*p + 99 = c. Let d(r) = -r**3 + 22*r**2 - 15*r - 49. Is d(c) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 8546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27500 or 137496\/5?\nAnswer: 27500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2f4 + 5?\nAnswer: -2ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**8\/224 + u**7\/210 + u**6\/80 - u**5\/60 - 44*u**2. Find b such that d(b) = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w**2 - 8 + 8 + (0 - 2*w + 0)*(2*w - 17*w + 37*w) as u*w + l + n*w**2 and give n.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 6:18 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -499*x + 1 - 71*x + 201*x - 267*x as f + n*x and give n.\nAnswer: -636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p + 3. Let z be q(-29). Suppose 4*k = 86 + z. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32323 (base 13) to base 7.\nAnswer: -525115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 - -96. Let h = 47 + r. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21*34\/119)\/(4\/10).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) 5\/3 (b) -184 (c) -0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 113*r + 1123. Give n(-12).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (45\/(-27))\/((-1)\/(-3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 101 + -54. Does 16 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61965777 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0083 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2795025294.\nAnswer: 2, 3, 1423, 109121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/12 - (-6)\/18. Is 9\/(-54) - p\/(-12)*685 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 294666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 9:42 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(-2\/15)*w*(w*w**(2\/33))\/w*w*(w*w**(-19))\/w*w\/(w**(-6\/5)\/w*w) assuming w is positive.\nAnswer: w**(-449\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 191*c + 577*c - 200*c - 139*c - 144*c.\nAnswer: -97*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 0. Let r(q) be the second derivative of -q**5\/120 + q**4\/3 + q**3 - 2*q**2 - 88*q. Let k(b) be the second derivative of r(b). Calculate k(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 10 = 4*d, 81*d + 9 = 78*d + 3*g for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/2 + 13*t\/2 + 6.\nAnswer: -(t - 4)*(t + 1)*(t + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.601119703 to three decimal places.\nAnswer: -3.601","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 6:36 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4000 = 2*m + 4*a, -26*m + 28*m - 3994 = -a. What are the prime factors of m?\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.32078 and 16.6336891?\nAnswer: 18.9544691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 = -5*z + 203. What is the greatest common factor of 42 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1722 (b) 3 (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1591 + 4717\/3. Find the common denominator of (-1092)\/18*(-12)\/(-16) and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 1:36 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 28\/3135009?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/4 of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-140)\/150)\/((-1)\/((-6)\/(-4)))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4181 + -16725\/4. Which is the third biggest value? (a) n (b) -49 (c) -13\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10800625 is divided by 82.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-11\/5)\/r*r*(r*r*r\/r**(-15\/8)*r)\/r*r)\/((r*r**(-25))\/(((r*r**(1\/2))\/r)\/r)) assuming r is positive.\nAnswer: r**(1087\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 16391 = -5*t, -6*t - 4*s = -3*t - 9828. Round t to the nearest 100.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 1 + 11 = 0. Let b(v) = -v - 3. Let r be b(w). Let x = 14\/19 + -32\/95. Which is smaller: x or r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 326110*c - 68. Let b(a) = 326111*a - 66. Let t(n) = -3*b(n) + 4*y(n). Let q be t(-18). What is q rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wqwwwnwww. Give prob of sequence wnq.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 11*i**2 - 3*i - 15. Calculate m(-11).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u - 7*u + 3*u. Let p(k) = -k + 21. Let c be p(19). Let s(l) = -l**c - l**2 - 3*l + 3*l. Give s(o(x)).\nAnswer: -98*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20655*y + 280614 with respect to y.\nAnswer: -20655","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10029016 and 368.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 3*w - 1211 + 1190, 2*u = -3*w + 39. Calculate the remainder when 355 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13442 in -3\/2, -15, 1\/4, -0.2, -2?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2205520 - 14?\nAnswer: -2205534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 6*w - 8 = 0. Let t(m) = m**3 - 4*m**2 + 5*m - 4. Does 3 divide t(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1569, -3131, -4691, -6249, -7805?\nAnswer: -9359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*7\/(-42)*2\/1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 7*k**2 - 5*k. Let x(m) = -1 + 1 - 5*m + 8*m**2. Let c be 2 + ((-16)\/4 - -3)*6. Let p(g) = c*x(g) + 5*w(g). Find the second derivative of p(t) wrt t.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1037 = 38*j - 22 - 103 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.0325, -0.1 in ascending order.\nAnswer: -2, -0.1, 0.0325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 108\/(-9)*(1 - 8\/6). Let f(c) = -m + c**2 - 2 - 5 + 4 - c + c**3. What is f(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2\/3))**19\/(n**1)**(-2\/73))**(-47) assuming n is positive.\nAnswer: n**(-65471\/219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*x + 1787102 = 67*x. Does 18 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21 + -16 - (-3 + (1 - -2)). Factor 0*y + 0 + 3\/7*y**2 + 0*y**3 - 9\/7*y**4 - 6\/7*y**r.\nAnswer: -3*y**2*(y + 1)**2*(2*y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (sqrt(19) + (sqrt(19) - sqrt(76)*-2))) + sqrt(19) + 2*(sqrt(19) - sqrt(57)\/sqrt(3)))**2 - (sqrt(57) + (1*sqrt(228))\/sqrt(4))\/sqrt(3).\nAnswer: -2*sqrt(19) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 10 = -4*f, -810*l + 807*l + 14 = -f for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2330*m**2\/3 - 6994*m\/9 - 4\/9.\nAnswer: -2*(m + 1)*(3495*m + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 17298500.61 to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25 - -22) + 4 + -1 + 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8429, 22959, 43591, 70325?\nAnswer: 103161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 171\nAnswer: -171.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 376. Let p be 5\/10 + (-4)\/8. Suppose 0 = -p*x - 5*x + 165. What is the greatest common factor of y and x?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104 divided by -957657\nAnswer: 104\/957657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 4. Let j be s(-4). Suppose 22 = 3*d - 0*b + 2*b, -2*d + 8 = 3*b. Calculate the least common multiple of d and 7*(-1)\/(4\/j).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18.25, -1915, 0.1.\nAnswer: -1915, -18.25, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 7240?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -s**3\/6 - 4*s**2 - 49*s. Calculate k(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 5, -434.63, 2, 1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*w - 12. Let l = 11 - 12. Let f(i) = i. Let h(c) = 8*c + 1. Let v(d) = l*h(d) + w*f(d). Differentiate v(j) wrt j.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 0*j + 208 - 27\/2*j**2. Let l(s) = 5*s + 0*s - 3*s. What is l(u(a))?\nAnswer: -54*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d - 5. Is 9 a factor of f(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 10 = 2. Solve -3*r = -5*i - 26, -i - g*i = -5*r + 26 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*m + 20655 + 22357 = 0, 2*v - 5*m = 42985. Round v to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2031*t*v**3 + 22*t*v**2 - 2*v - 1 wrt v.\nAnswer: 12186*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -108013183*c**2 - 2*c + 70752401.\nAnswer: -216026366*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 o when two letters picked without replacement from {r: 1, u: 5, w: 1, z: 3, o: 4}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 1503.\nAnswer: 12024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b*b**2)\/b)**(-19)*(b**(-2))**(-2\/11) assuming b is positive.\nAnswer: b**(-623\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 10:19 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10951\/2510 + -66\/251. Let g = -14317\/6 - -2369. Calculate the common denominator of z and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-12)*f*f*f*f**(-13) assuming f is positive.\nAnswer: f**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b - 3871a8?\nAnswer: -387199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -9595*a**2. Let s(z) = -2*z - 25. What is s(d(i))?\nAnswer: 19190*i**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2711*j + 235766. What is c(-87)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 98*g + 6. Let r(z) = 99*z + 7. Determine 5*l(q) - 4*r(q).\nAnswer: 94*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/6 (b) 2\/23 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = r - 1921135 - 427269, r = 2*q + 2348408. Suppose 4*p - 10*u = -12*u - r, -3*p = 4*u + 1761300. What is p rounded to the nearest 10000?\nAnswer: -590000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in -2\/3, 0.5, -2, -262, 1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 8625050.\nAnswer: 34500200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (17 + (351 - 337 - (-1 + 115)))\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**4 + 6*s**2 - 6*s**2)*(-s + 2 - 2) - 3*s**5 + s**4 - s**4 - 287*s**5 - 160*s**5 + 100*s**5.\nAnswer: -354*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42112 - -3473461395.\nAnswer: 3473419283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x = 4*x - 30 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*i - 38*i + 109*i - 39*i - 38*i + 20*i.\nAnswer: -20*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 53 = -d, -8 = -3*d + 1. Calculate the smallest common multiple of a and 55.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1022 - -1353?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -119*n + 118*n, -v - 243 = -48*n for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 931*u - 916*u - 480. Solve -5*s = -3*s - 5*g - 17, -u = 3*s + 4*g for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -27*o + 0 - 3 + 13 + 28*o. Let y be i(-6). Solve 3 - y = -x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -3*s**2 + 724854*s - 43784443443 = 0.\nAnswer: 120809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + 11*q - 6*q - 21, -24 = 3*g - 5*q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7822 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-1 - (8 - (-2619)\/(-153)))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -230 - -60?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14042650?\nAnswer: 2, 5, 23, 12211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 - 42. Is (b\/6)\/((-1)\/110) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 t when three letters picked without replacement from tzttbbtszbzvct.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -15. Let z be 0\/n - -2*1. Solve z*y - 2*y - 14*y**2 + 17*y**2 - 3 = 0 for y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2072.21 rounded to the nearest 10?\nAnswer: -2070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1222958 is divided by 399.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -2*n**3\/3 - 3*n**2\/2 + 6*n. Let o be z(-4). Let -10 - 3*t + 5*t**2 - 5 + o = 0. Calculate t.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*t = -112*t - 2*i + 15, 3*i = -t + 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16355 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1714\/3 + 12001\/21. Find the common denominator of -7\/519 and z.\nAnswer: 3633","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 18. Let z be (u + (-15)\/9)*30. Let l = z - 9. What are the prime factors of l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -155 - -157. Let m = -10 - -9.6. Which is the third smallest value? (a) -22 (b) s (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c. Let z(n) = n + 595. What is z(u(w))?\nAnswer: -3*w + 595","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/3 (b) 33\/46448 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - 4 - (-1 + -3 + -1 + 5).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 17*m + 10. Let j be c(17). Suppose -j = -z - z. Calculate the remainder when z is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pypn when four letters picked without replacement from ypyrpnmnrpxprmnmnnrn.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2, 19, -4, -92 in increasing order.\nAnswer: -92, -7, -4, -2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -15. Calculate the greatest common factor of k and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -2467487 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4071 by 23.\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/50 of a microsecond?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6176450837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -3462528.9 to the nearest 1000.\nAnswer: -3463000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -12080*m**3 - 7*m - 21. Let x(o) = 12078*o**3 + 6*o + 18. Calculate 6*q(h) + 7*x(h).\nAnswer: 12066*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -1403*x**2 - 13*x + 33. Let j(t) = -701*t**2 - 4*t + 16. Let p(g) = -5*j(g) + 3*w(g). Find the second derivative of p(s) wrt s.\nAnswer: -1408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 4 (b) -0.4 (c) 88 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-6)*(x*x**(1\/26))\/x assuming x is positive.\nAnswer: x**(-155\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*o + 32*o + 1057 = 49*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(539) + 4 + 2)**2 + (((sqrt(77) + sqrt(77)*1 + sqrt(77) + sqrt(77))\/sqrt(7))**2 - (sqrt(11) + sqrt(22)\/sqrt(2) + -2)) + 5.\nAnswer: 82*sqrt(11) + 758","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-46086)\/(-12) + -2)\/(1\/10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 1:49 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126234 and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -743*n**2 - 731*n**2 + 2166*n**2 - 719*n**2.\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/8 (b) -2 (c) -1 (d) -103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((21*(-14)\/(-392))\/((-3)\/12))\/((-270)\/8)\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 5507*r**3\/2 + 49524*r**2 + 444663*r\/2 - 3159 = 0.\nAnswer: -9, 78\/5507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -6, -5903\/24?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61477597.\nAnswer: 19, 23, 140681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (l**2 + 0*l**2 + l**2)*(3*l + 2*l - 6*l) - 338*l**3 - 33225*l**2 + 33225*l**2 + 2*l**3 + 2*l**3 - 2*l**3 as c*l**3 + g*l + k*l**2 + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(2\/23)*b)\/b*b*b\/(b*b\/(b*b**(2\/5))*b))\/(b**1*b\/((b*b**0)\/b)))**(-17) assuming b is positive.\nAnswer: b**(1003\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14 + 14 + 93*q + (-1 + 5 - 2)*(-3*q - 3*q + 7*q) + (-4 + q + 4)*(-3 + 1 + 3).\nAnswer: 96*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 36*(6\/8)\/((-117)\/(-104)). Calculate the highest common divisor of 600 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1359095440 to the nearest integer?\nAnswer: 36866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/5))**21*(x**0)**(-49) assuming x is positive.\nAnswer: x**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9940*d**3*i**3*p - 50*d**3*i**3 - 33*d**2*i**3 + 2*d**2*i*p - 2*d*i - d*p - 9*i**3*p - 2*i wrt d.\nAnswer: -59640*i**3*p - 300*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 6 - 2. Which is smaller: j or 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of a**3\/3 - 2*a - 9. Let u be x(2). Let l be (-20)\/24*(-4 - 2). Put 0, u, l in decreasing order.\nAnswer: l, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 - 17. Suppose 14*h - 10*h = 0. Suppose h = 26*z - 27*z + 6. Calculate the smallest common multiple of w and z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/9))**(1\/6)\/((i\/(i*i**5)*i)\/i)**(5\/8) assuming i is positive.\nAnswer: i**(667\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 10*i + 4. Let a be n(10). Suppose -5*c + b - 4*b = -15, a*c - 12 = b. Solve -5*r - 14 = -c*f, -2*r = -5*f + r + 18 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-46)\/483*18\/4. Let z = -0.12 - -0.1. Let l = -0.42 - z. Sort l, d, 0 in increasing order.\nAnswer: d, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0*k)\/k**7*k**(3\/8)\/((k*k*k\/(k**(-4\/7)*k))\/k*k)*(k**(-1\/8)\/(k*k**3\/k))**(-40) assuming k is positive.\nAnswer: k**(6541\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z - 4 + 9 + 3*z + 2. Is f(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1 + sqrt(1100)*1 - ((sqrt(1100) - 1*sqrt(1100)) + 0) - (-1*(sqrt(1100) + 0) - (-3*(sqrt(1100)*-1 + sqrt(1100)) - sqrt(1100))))**2.\nAnswer: -20*sqrt(11) + 1098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3472110079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8 - 1. Let z = -0.235 + 5.185. Let d = -0.05 - z. What is the third biggest value in o, d, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2683 + 3.\nAnswer: 2686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -201 divided by 5\nAnswer: -201\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84800, -339440, -763840, -1358000, -2121920?\nAnswer: -3055600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 46*q**4 - 1752*q**2 - 2092. Find the second derivative of s(x) wrt x.\nAnswer: 1104*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 11 = 5. Let l = -0.5 - -0.3. Let v = l + 0.7. Which is the smallest value? (a) v (b) w (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 9 = -g, 7 - 2 = -5*x. Suppose 4*n + 85 = 3*m, -g = 2*m - 3. What is the tens digit of n\/(0 + -1) - 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - 0)*3\/(-3). Suppose -5*c - 67 = s*y - 13, 3*y = -9. Let o = c - -21. Calculate the highest common divisor of o and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -178*k**3 - 1. Let r be h(-1). What is the greatest common factor of r and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2548?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 136491641, 136491679, 136491719, 136491761, 136491805, 136491851, 136491899?\n\"Answer: w**2 + 35*w + 136491605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1267.\nAnswer: 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -5*n - 1420, 5*n + 1710 = 158*p - 152*p. What is the third biggest value in p, -0.4, -1, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22\/9369 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 166 (b) 7 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g + 7*g - 3*g - g**2. Let o(r) be the third derivative of -5*r**4\/4 + r**3\/3 + 43*r**2. What is o(x(y))?\nAnswer: 30*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -62, 0.5, 5, 1, 1.538?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**4\/12 + 2*t**3\/3 - t**2\/2 + 9*t. Let r be a(3). Is r + 1137*(-4)\/(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-2\/3)\/u)\/u*u**(1\/3)*u*(u**(-1\/3))**(36\/5) assuming u is positive.\nAnswer: u**(-41\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -423 - 8*a + 842 - 407. Let v(o) be the second derivative of o**3\/6 - o**2\/2 + 2*o. What is d(w) + 12*v(w)?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i + 5. What is q(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 53*r**6\/60 - r**3 + 17*r**2. What is the derivative of f(t) wrt t?\nAnswer: 318*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 7*w - 2*w. Suppose 0 = w*b - 10 + 26. Let a = 3 + b. Let u(h) = 14*h. Give u(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*i - 73*i = -80. Let c be (((-90)\/8)\/(-9))\/(1\/i). Solve 0*d = 5*d + c for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*k**4 + 5*k**2 - 18*k**2 + 44 + 4*k**2 wrt k.\nAnswer: -16*k**3 - 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*n - 920 = -86*n. Solve 2*k - 5*r = 5*k - 9, -2*r = -k - n for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6015260 and 69680?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 4094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -11010011001101111011 (base 2) to base 16\nAnswer: -d337b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v. Let y(q) = -332*q. Give m(y(a)).\nAnswer: 664*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**2 + f**2 - f**2 + (-5 + f + 5)*(7 - 7 + 20*f).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -32112147034300 - -14\nAnswer: -32112147034286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 4*r**2 - 7*r + 6. Let d be (0 + 1\/2)\/(44\/18392). Let n = 214 - d. Give x(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (0 + (5*sqrt(152)\/(sqrt(32)\/sqrt(4)) - -6*(sqrt(19) + sqrt(19) + 1)*-5))**2 + -3.\nAnswer: 3300*sqrt(19) + 58367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2951*f + 3068*f - 351 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3157*w**2 + 3067*w**2 - 3*w + 3054*w**2 + 5*w - 9279*w**2 - 2*w.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 35400120 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + x + 1. Let u(d) = -7*d + 6*d - 1 - 4 + 4. Let i(a) = 331*a - 1652. Let z be i(5). Calculate z*y(g) + u(g).\nAnswer: 3*g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (50 + (-10 - 17))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -18. Which is the nearest to 0.1? (a) 2\/27 (b) -0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*c - 6*c + 23*c)*(-2*c - 3*c + 4*c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 - 14*b**2 - 3*b**2 + 15*b**2 + 577*b**3 + 2*b**2.\nAnswer: 577*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 + 5. Let i = o - -62. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*r = -108. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 plus 3.769?\nAnswer: -8.231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38 - -30) + 29 - (8 - -1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-333)\/370)\/(6\/10 + 4 + -4)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(95)\/(sqrt(45)\/(2*sqrt(9))))**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 4*n**2 + n + 4. Let p(u) = 3*u**3 + 9*u**2 + 3*u + 8. Let t(b) = -5*l(b) + 2*p(b). Suppose -2*r = -3 - 3. Does 8 divide t(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 15*v + 1326 = 3*v. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -278.536 + 405840?\nAnswer: 405561.464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 3*h + 5. Suppose -9 = 2*k - h*k, 0 = -4*v + 4*k + 4. Determine b so that b - 3*b**2 - 3\/2*b**v + 1\/4*b**5 + 0 + 13\/4*b**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168*p**2 + 90*p**2 - 8*p**2.\nAnswer: 250*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/491523 and -43\/7.\nAnswer: 3440661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-298)\/(-447))\/(((-2)\/22)\/((-3)\/2))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8275 = 672*v - 838*v - 3345 for v.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 3*c - 5*n, 0 = c - 4*n - 200 + 156. Solve 11*d = c + 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-132)\/(-135) - 1). Let q(p) = -p**3 - 6*p**2 + 2*p + 17. Let b be q(-6). Let i = b + f. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.667 - -0.45. Let h = -5.783 + o. What is the closest to h in -4, -1\/4, -1\/2, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*a - 7, 4*h - 4*a - 8 = 0. Solve 2*v - 1 - 3 = h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 9*r**2 + 4*r - 3. Let p = -85 + 95. What is the tens digit of w(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(90\/(-284)) + 0. Let z = -3248\/207 - o. Let s = -29\/69 + z. Put 0.2, -5, s in increasing order.\nAnswer: -5, s, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 6:40 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/((p\/(p**(1\/43)*p)*p)\/p*p))*(p*p**(-3)\/p)\/p)\/((p*p**(-14)*p)\/p)**(-25) assuming p is positive.\nAnswer: p**(-14105\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 0. Let m = -7 - s. Suppose 5*g - 177 - 148 = m. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10369\/22 + -5190\/11. Let p = -1 + 0.7. What is the third smallest value in 3, p, -2\/17, c?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 15) in base 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.03*-0.156.\nAnswer: 0.78468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 8:26 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -3*w + 48, 3*w + 7*i - 45 = 2*i. Suppose w = -q + 6*q. Suppose -q*x = 3*z - 17, 3*x - 4*x = -z - 6. What is the remainder when 13 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3591667 at least as big as -0.004?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 56 = 13*y. Suppose -y*t + 6 = 5*n, -4*t + 8 = -5*n - 0*n. Let j = -13 + 8. Put n, j, -1, 8 in descending order.\nAnswer: 8, n, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4)\/b*b**(-4\/7))**15*(b**6*b)\/b**(2\/17)*b*b**(-2)*b**6 assuming b is positive.\nAnswer: b**(-8531\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 304 + -309. Is (-1)\/(c - 43894\/(-8779)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*j - 9*j - 277820*j**3 + 277817*j**3 + j**5 - j**4 + j**2.\nAnswer: j*(j - 2)*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12529 = -v - 0*v. Let u = 175303\/14 - v. What is the common denominator of u and 11\/(-14) + 0\/(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 357 + -356.7. What is the nearest to b in 2\/3, 1\/5, 1\/8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -1291*o. Let u(n) = -4*n**2. Determine u(r(i)).\nAnswer: -6666724*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6506758, -13013483, -19520208, -26026933?\n\"Answer: -6506725*f - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 2. Let k(u) = u - 5. Let b(t) = 3*k(t) + 6*m(t). Is b(11) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2144*v**3 + 715*v**3 - 12*v + 714*v**3 + 714*v**3 + 22*v**2 to the form q*v**3 + t*v**2 + h*v + u and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x - 16. Let w be f(7). Let m be 10 + 1 - (w + 5). What is the tens digit of (-2)\/m - 77\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x - x**3 - 2*x + (-2 - 2*x**2 + 2)*(2*x - 3*x + 8*x - 3).\nAnswer: -15*x**3 + 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-22)\/x*x)\/x**(-2\/17)*(x**(9\/4))**(2\/49) assuming x is positive.\nAnswer: x**(-34637\/1666)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 631929609 divided by 3\nAnswer: 210643203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 604792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1530, 1522, 1508, 1488?\n\"Answer: -3*t**2 + t + 1532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of 7*v**6\/720 + v**5\/120 + 2*v**4\/3 + 18*v**2. Let k(n) be the second derivative of q(n). List the prime factors of k(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*v - 56 = -35*v. Calculate the least common multiple of v and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 76 and 2148634?\nAnswer: 4297268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -258, -1043, -2346, -4161, -6482, -9303, -12618, -16421?\nAnswer: -20706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 2. Suppose r + 3 = 0, -5*y + 93 - 37 = -2*r. Let o be 4*(-2 - y\/(-4)). Solve 0 = v - o + t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4 + 1 - 1 + 9*h. Is t(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5 + -5*((-1 + (sqrt(180) - (4 + sqrt(180)))*-4)*4)**2*3.\nAnswer: -54005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**2 - 40*f - 25. Give p(-19).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 233 + -233.252. Let z = 0.588 - n. Round z to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 5*r**4 + 25*r**3 - 65*r**2 + 35*r = 0.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 - 424 = -120*d - 2084 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2198892053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14, 36, 110, 220, 378, 596?\n\"Answer: 2*q**3 + 36*q - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.45 + -16. Let j = n + -19.45. Let o = j - -18.999934. Round o to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29458042 is divided by 154?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/3)\/(2\/21). Suppose t*n - 5 = 8*n. Let v(j) = -j - 2. Let z(s) = 2*s + 5. Let m(x) = -9*v(x) - 4*z(x). Give m(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6154103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 + 250221*b + 250218.\nAnswer: 3*(b + 1)*(b + 83406)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -88028 rounded to the nearest one thousand?\nAnswer: -88000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -75 (base 10) to base 7\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + c + 4*c + 3 = 0, 3*c = 0. Let t(n) = 2*n**2 + 2*n + 3. What is t(w)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c - 13. Let j be (-26)\/(4 - 6 - -4). Let s be g(j). Suppose 2*h - 5*h + 24 = s. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*c = 68*c - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205420278?\nAnswer: 2, 3, 7, 617, 7927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1036772 and 44.\nAnswer: 1036772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 26012.2428s in days?\nAnswer: 0.301067625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21336 + -14573. What are the prime factors of y?\nAnswer: 6763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 5*t - 8. Suppose t*g = -1181 + 89. Let r = -1643\/6 - g. Which is greater: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 310.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 182*v**2 - 36*v + 10. Suppose 7*s + 25 + 80 = 0. Let p be w(s). Round p to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.87 + 0.57. Let z = 14 + h. Which is the second biggest value? (a) -5 (b) -0.1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 11*c - 23. Determine l(11).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 5*v**4 + 36*v**3 - 143*v**2 - 30*v = 0.\nAnswer: -10, -1\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 + 4 - 5)*(36*a**3 + a**4 - 36*a**3).\nAnswer: 23*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-27)\/(-4))\/(12\/32). Let b(x) = 10*x**2 + x + 3. Let m be b(-3). Calculate the greatest common divisor of m and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npi when three letters picked without replacement from dtdddpnddwddwpdpdi?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - 31)*(-12)\/42 - -11*(-18)\/(-693)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 10 = 2*i, 0 = -3*i - 5*r + 12 + 3. Suppose 5*l - 10*l**2 - 4*l**i - 3*l**4 - 10*l**3 + 5*l**5 + 4*l**5 + 5 + 8*l**4 = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 + -34. Is l < -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 4*s = 0. Suppose -2*j + s*j = -20. What is the greatest common factor of j and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9\/2, -3, 0.9, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m + 7. Let v be n(-3). Let x = -1 - v. Let d(h) = 5*h**3 - h. Give d(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 228 = 4*h, -863*b = -859*b + 28*h - 1668 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 129185\nAnswer: 387555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53*z + 113*z - 54*z)*(z + 0 + 0 + (-4 + 2 + 0)*(-z + 3 - 3) + 2*z + 10 - 10)*(-3*z + 8*z - z).\nAnswer: 120*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 6657*m - 337182. What is g(51)?\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9595 - 9596. What is the smallest value in -2, 173, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*j + 45 - 4*j**2 - 3*j + 3*j**2 - 2*j to the form w*j**2 + o + s*j and give o.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**11*m)\/m)**(-2\/75) assuming m is positive.\nAnswer: m**(6\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 - 0.1?\nAnswer: 372.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 33 + 31 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.042 - -0.008. Let u = j + -0.05. Let g = -1383\/3692 - 3\/7384. What is the second smallest value in 0, u, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -1534*h**3 - 98183*h**2 - 445*h + 181. Calculate n(-64).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n**5\/19 - 45494*n**4\/19 - 11758*n**3\/19 + 2182688*n**2\/19 + 6369184*n\/19 + 1455872\/19 = 0. Calculate n.\nAnswer: -4, -1\/4, 8, 5687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6758778 is divided by 469.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of b**3\/3 - 7*b**2\/2 - 4*b + 3. Let p be u(8). Suppose -p*o + 60 = o. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118513541?\nAnswer: 118513541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50770350?\nAnswer: 2, 3, 5, 257, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55587046 to the nearest integer?\nAnswer: 7456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 127*n - 1183*n + 12)*(5*n**2 - n**2 + 0*n**2).\nAnswer: -4224*n**3 - 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2 = -0*d. Suppose 2*a + 28 = -4*q, -4*a + 2*q = 1 + 5. Put -3, a, d in decreasing order.\nAnswer: d, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 2260656\nAnswer: -678196.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence luon when four letters picked without replacement from olounnuolonno.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 7*j - 4*j = 0, -w - 8 = 3*j. Suppose 3*t = f + 578, 0 = -w*t - 6*f + 3*f + 749. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 4)\/(5 + 4\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -178*r + 30980. Give n(174).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 2*n**2 + 2*n - 2. What are the prime factors of o(-5)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 5*a**2 + a + 7. Let n be y(-5). Suppose -60 = n*h - 3*h. Let v be (-4)\/(-1) + h\/(-18). What is the closest to 1 in 1\/2, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13*-0.2\nAnswer: -2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 13 = -0*x - 4*t, -4*x + 3*t = -13. Let g be (-7 + x)*(-4)\/4. Let c be (3\/(-7))\/(g\/4). Put 0.3, c, 1\/13, 2 in descending order.\nAnswer: 2, 0.3, 1\/13, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r - 8627. Let y(h) = -4*h + 126. What is p(y(i))?\nAnswer: -8*i - 8375","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 220 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 10*p. Let j be z(-10). Which is greater: j or -4\/101?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 631 + -2?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - -3) + -6 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.1 (b) 4 (c) -87 (d) 1 (e) -4.699\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1642788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33237838.\nAnswer: 2, 107, 155317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11953053 * 6.5\nAnswer: 77694844.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -611*u**3 + 200*u**3 + 208*u**3 + 200*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -0*n - 3*n, -3*n = -4*c + 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263 - 52 = -3*s. Let z be s\/28 - 1\/(-4). Suppose -3*w - 102 = -5*p, z*w = 2*p - 12 - 26. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - -57 - 132 - -43 - ((-1 - 0) + 5)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 6*g - 12. Calculate y(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 194192561\/276 - 703595. Let s = u - -1\/69. Which is the third biggest value? (a) -0.2 (b) s (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(5 - (4 + 2)). Solve 4*i - 1 = 2*s + 11, 15 = 5*i + v*s for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -24. Let v = -120 + -44. Let w = v - -824\/5. Which is the third smallest value? (a) s (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-3 - -3 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 11:39 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than -46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5312*x - 45165 = 377*x - 254302 - 137892 for x.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -669, -2737, -6223, -11145, -17521?\nAnswer: -25369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*((g**(-1\/3)*g)\/g)\/g*g)\/g)\/(g**5*g)*(g*g**(-1\/2))**(-34\/5)*((g**0\/g)**(-48))**(1\/32) assuming g is positive.\nAnswer: g**(-247\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 569 + -575.1. What is b rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331*y**3 - 405*y**3 - 1 + 1 + 747*y**3 + 40*y**2.\nAnswer: 11*y**3 + 40*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(-2*z - 3*z + 3*z) + (3*z - 6*z - z)*(-6 + 2 + 2).\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -545.14 + 538. Let u = t + 0.54. Round u to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) 20\/17 (c) 2\/655 (d) -4 (e) 2\/5 (f) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + y. Let v(g) = -3*g**3 - 36*g. Let z(n) = 6*k(n) + v(n). What is the second derivative of z(w) wrt w?\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 14*k - 2 + 3 to the form f*k + v and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19508979943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r = 16*r - 5252. Let i = 227 - r. Solve -4*u + 9*u = -i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -9. Suppose 0 = 4*w - a - 12. Solve 2*k - 2*j = -14, k + k + w*j - 14 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4422*h**5*o - 83*h**4*o + 3*h**2*o - 79*h*o + o - 104 wrt h?\nAnswer: 265320*h**2*o - 1992*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + o**2 - 5*o - 2. Suppose 0 = s + 2*s + 30. Let p be (-8)\/s*(-45)\/(-6). Let g be p*2\/8*-2. What is i(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -7*s**2. Let c(f) = 38*f**2. Give u(c(o)).\nAnswer: -10108*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - (-396)\/(-5 + -13).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117475854739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -372 = k + 3*k. Let o = k + 275\/3. What is the nearest to 2 in -5, o, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*r**3*z**6 + 20305*r**3*z**4 - 27*r**3*z**2 + 9*r**2*z**2 + 3*r + 13 wrt z.\nAnswer: 2880*r**3*z**3 + 487320*r**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**14\/(j\/(j*((j*j*(j*j**(-5))\/j)\/j)\/j)))\/(j*j**(6\/7))**(1\/49))**26 assuming j is positive.\nAnswer: j**(79924\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*(44\/(-8) + 3). Let g = c - -29. Is 18 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 187 + -100. Let d = t + -76. Sort -3\/8, d, -2 in descending order.\nAnswer: d, -3\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*s - 2742, 66 = -s - 3*z + 748. What are the prime factors of s?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31688 - 8588. Round b to the nearest one thousand.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 21*f - 398. Calculate c(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 2d04862?\nAnswer: -2d04860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 23490*y**2 - 11721*y**2 - 11771*y**2.\nAnswer: -2*y**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b - 4. Let n be q(-5). Suppose a = -0*a - 2. Sort n, -1, a.\nAnswer: a, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 742501?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 8) to base 12\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*z + 45. Let x = 19 - 7. Suppose -i + 4*u + 33 = z, -u - x = -i. What is the remainder when 13 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11102*-7311.\nAnswer: -81166722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -90768*p*s**3 + 6*p*s**2 - p*s + 30*p + 246*s**3 - s**2 + 78726*s - 3 wrt p.\nAnswer: -90768*s**3 + 6*s**2 - s + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -121*i + 50. Let x be 2\/5 + (-13 - (-66)\/10). Let v be r(x). What is the highest common factor of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58487 and 23881?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 + -44. Is 25 a factor of 5\/60*a - 199\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42084 - -126254\/3. What is the second smallest value in -4, 0.4, 8, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0\/(-2))\/(-1 + 0). Let i(g) = -11*g**2 + 11*g + 61. Let x(b) = 5*b**2 - 5*b - 30. Let n(d) = -6*i(d) - 13*x(d). What are the prime factors of n(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 872 divide 2188495024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06142343 to 3 dps.\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yt when two letters picked without replacement from yyjtyyjjjyjyyjjllttj.\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m**6 + 7940*m**4 + 16323*m**2?\nAnswer: -360*m**3 + 190560*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 9441955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -121, 2, -4, -8.\nAnswer: -121, -8, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3*p - 102, 0 = 2*f + 2*f - p - 116. Suppose 4*n = 14 + f. What is the highest common factor of 176 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 6*j + 72. Suppose -41650 = -5*m + j*x, m - 5*x - 5079 = 3229. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (3 - (7 - (-1 + -2 + 7)))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-12)*3024\/(-162) + -2 + -32.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 704679.\nAnswer: 3, 234893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4025 - 3806.3. Let t = x + -39.7. Let a = 179.97 - t. What is a rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 - 47. Let v(l) be the third derivative of 0 + 0*l**3 + 4*l + 3*l**2 + 1\/12*l**4. What is v(r(a))?\nAnswer: 4*a**2 - 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1994.657 grams in micrograms?\nAnswer: 1994657000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 30*o + 36. Let x(f) = -f - 1. Suppose -3*c = 5*g - 555, 45*g = 40*g + 15. Determine c*x(y) + 5*u(y).\nAnswer: -30*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.8 - 0.2. Let j be 28\/(-8)*(-14)\/52. Let o = j + -9\/13. Sort f, o, 0.5 in increasing order.\nAnswer: f, o, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - d + 11, -2*d + 3 = -2*k - 3. Let a be (k\/3)\/(6\/(-45)). Suppose -57*x = -30*x - 540. Solve a*m = m - x for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 5*t + 7. Calculate the smallest common multiple of d(-5) and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 + 21 - 63 = -48*x. Solve -636*z + 2*a + 12 = -633*z, -x*z - 4*a = -8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 0, -2*o = f + 37 - 34 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11 - -13)*(-6)\/(-4). Find the third derivative of -4*r**2 + 9*r - 19*r**3 - 15*r**3 + 13*r**a wrt r.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2) - (-1832418)\/(-312048). Let s = -6\/2167 + y. Find the common denominator of 131\/60 and s.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1380 - -2086. Calculate the least common multiple of u and 12.\nAnswer: 4236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/(-3)*(-44)\/(-33). Factor -7*q + 20 - o*q + 35*q + 5*q**2.\nAnswer: 5*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -445 + 551. Calculate the remainder when l is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000342152825 to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2120.9 - 1819.9. Which is the third biggest value? (a) f (b) -0.4 (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-2))\/(50*(-83)\/60175)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -109 (b) -6 (c) 255\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 242, -2, -5, 5, -3 in descending order.\nAnswer: 242, 5, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -69829 and -17.8.\nAnswer: 1242956.2","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 494312930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -6\/29 (b) 15 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 20. Let c = 85.3 + -89.3. Sort -0.2, c, u in decreasing order.\nAnswer: u, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 8:59 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.3, -811431.\nAnswer: -811431, -0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 4*y + 3*k + 11, 0 = 2*y - k + 13 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4 + 3 - -1) + 107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5154500 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1308)\/2834)\/((-1)\/26*2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1452556 divided by 1?\nAnswer: -1452556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.039932 rounded to one dp?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -289502 and -289503 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -31*p + 19*p - 4 - p**2 + 13*p. Determine q(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1647097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1666439369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 9*y + 22. Let i(x) = -x**2 - 17*x + 46. Let s(w) = -7*g(w) + 3*i(w). Let s(q) = 0. What is q?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -222, -418, -672, -978, -1330, -1722, -2148?\nAnswer: -2602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9.5631 and -1502373?\nAnswer: 1502382.5631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -17*d - 16. Let c be j(2). Let p be (48\/(-100))\/(15\/c). What is the second smallest value in -4, 2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 172 - -5910?\nAnswer: 5a82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3*(sqrt(16)\/sqrt(64))\/(-2*sqrt(128))*1 + -3 + -2.\nAnswer: -8 - 3*sqrt(2)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 11:53 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3340*r**2. Let v(l) = -8*l**2. Give c(v(f)).\nAnswer: -213760*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + 22.09. What is p rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13232*b + 13805*b + 22920 for b.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (-1)\/((-4)\/(-68)). Let f = u + 40. Suppose -5*g = 2*b + f, 0*b = 3*b - 2*g + 9. What is the third biggest value in 4, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 5*y**2 - y + 5. Let p be (-51)\/(-9) + (-2)\/3. Let t be j(p). Suppose t = -3*l + 7 + 11. Solve l*c = c - 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/14*-1*(-3)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 9:41 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 9*f**2 - 2*f - 4. Let a be c(2). Let w be (a\/(-35))\/(5\/((-75)\/(-6))). Let q be w\/11 + (-369599994)\/33. What is q rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 2*g + q - 22, -4*g + 3*q = 22. Let s be (-5)\/g - 8\/(-32). Let h = -2 + 1.5. Which is the second biggest value? (a) s (b) h (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64 + -48. What is the remainder when 57 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, x: 7}. Give prob of picking 3 x and 1 c.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of f**3\/3 + 2*f + 1. Let z be m(0). Let y = -0.6 + -0.4. What is the nearest to y in 1\/6, z, -3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220755 is divided by 55092.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvvfe. What is prob of picking 1 y and 1 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2 + 2 - 2*g. Let p(d) be the third derivative of d**5\/120 + d**3\/6 - 3*d**2. Let a(t) be the first derivative of p(t). What is a(v(k))?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1809 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0*y = -1640. Suppose 0 = -5*n - 3*q + 1310, -4*q - y = -3*n + q. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 730097454.\nAnswer: 2, 3, 121682909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q**3 - 7*q**2 - 8*q + 3. Let x(i) = 2*i**3 - 3*i**2 - 4*i + 1. Let w(j) = -5*x(j) + 2*y(j). Let m(s) = -s + 4. Let d be m(7). Does 13 divide w(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201810967.\nAnswer: 201810967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15701, 31320, 46939, 62558, 78177?\nAnswer: 93796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-11) + ((-672)\/(-6336) - 2\/6)\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88345978 is divided by 2007863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 8c0f?\nAnswer: -8c0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*w + w + 9 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 17 - 1 = z, 4*g + 89 = 5*z. Let d = 1 + 5. What is the remainder when z is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101260081441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 11\/14 of a week?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**3 + 7*y**2 + 5*y + 1. Let k(u) = -u**3 - u**2 - u. What is 5*k(v) + t(v)?\nAnswer: -2*v**3 + 2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 5*z**3 + z**3 + 7.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 1)*(-2 + 1 - 1)*(14*q - 18 + 18)*(-3 + 2*q + 3)*(2 - 3 - 3).\nAnswer: -448*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68079 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 29*m**2 + m - 45. Let y be d(29). Is -1*(-4)\/(y\/(-12884)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2150790 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(3456))\/sqrt(9))\/((sqrt(270)\/(sqrt(50)\/sqrt(5)))\/sqrt(9)))**2.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 5*f - 1)*(-1 - 4 + 4)*(f**2 + 1 - 1)*(6*f - 3*f - 9*f) in the form c*f + j + v*f**3 + d*f**4 + n*f**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {y: 1, v: 1, k: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r + r - r)*(2 - 3 + 2) + (-2 - 2 + 3)*(-2*r - r + 4*r) - 2*r - 2*r + 6*r - 16*r + 39*r + 22*r to z + b*r and give b.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1532.5 - -1533. Which is the second smallest value? (a) 0.1 (b) -0.1 (c) u (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*m**3 - 25*m**3 - 57*m**3 + 30*m**3.\nAnswer: -117*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -179.764544 + -0.14267.\nAnswer: -179.907214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -12*-27\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 177730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3018238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3*x + 2 + 7 = 0, 3*g + 3*x = 3. Let j be g\/2*16\/14. What is the third biggest value in j, 3, -2\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15 + -1)*(-65)\/20. Let h = 20 - t. Round h to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*v + 28, 56 = 5*d - 5*v + 11. Let q be d\/3 + -1 - 1. Let b = -11.1 + 11.6. What is the third smallest value in q, b, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 16 - 20 = 0. What is the remainder when 59 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 161119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + (27 - (2 + 1)). Suppose m - 2*a = -9, m + 5*a - d = 5*m. Let x be m - -6*(-2)\/(-4). Solve -4*w = -q - 7, 5*q - x*w + 26 - 7 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*i + 9*r - 10*r, -4*r = 4. Suppose i + 4 = 5*a + c, 0 = -a + 2*c + 8. Sort -6, a, 0.2, 2\/5 in ascending order.\nAnswer: -6, 0.2, 2\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 6 (b) 0.4 (c) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -11244?\nAnswer: 11243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86416 is divided by 4800.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**2\/5 - 28*x\/5 + 102\/5 = 0?\nAnswer: -17, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 1:35 PM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -626*y + 10 + 13 - 24 to the form k*y + b and give k.\nAnswer: -626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(32))\/sqrt(4))\/sqrt(4).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 1436*n + 44687. Calculate z(-30).\nAnswer: 1607","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 3, 2270 in decreasing order.\nAnswer: 2270, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 11*h + 18. Put 1, h, -4 in descending order.\nAnswer: h, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -684989.0658 to the nearest 10000.\nAnswer: -680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 1848.\nAnswer: 1847.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 104*w - 31 - 2 - 90*w**2 + 93*w**2.\nAnswer: 3*w**2 - 104*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 4*h + 8 = 4*g, 14*g + 82 = 17*g - 41*h for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 v when two letters picked without replacement from smsdqsdmdmvvmdlvmd.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 4*b - 3*j - 3, 2*j + 2 = b. Which is smaller: 2\/61 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**3. Let b be h(-1). Let v be 34\/b - (-11 + 19 + -3). Solve 4*k = -v, -3*c - k = 4 + 8 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a6 (base 11) in base 16?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4081 divided by 20\nAnswer: -4081\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**5\/8 - 2633*j**4\/8 + 15865*j**3\/4 - 13231*j**2\/4 - 31729*j\/8 + 29095\/8 = 0.\nAnswer: -2645, -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*q + 52*q - 3 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -6*v**2 - 35*v - 11. Give p(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 5) to base 16\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 66 - 22 - 47 + 5*n - 2*n**2 + n. Let y(w) = 2*w. Let r be y(2). Calculate c(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -534063, -534043, -534009, -533961, -533899, -533823, -533733?\n\"Answer: 7*d**2 - d - 534069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182 divided by -91.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*r + 81*r + w + 26 = 0, 4*r + 4*w = -72 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 193*x**2 - x + 2. Let g be z(1). Let n be 40 + (-3 - -1)\/2. Suppose 5*d + n - g = 0. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17\/1 - (2 + 1). Let o be x\/(-105) - (-8852)\/15. Round o to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**3 - 33*r**2 + 39*r + 659. Calculate k(-17).\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 3)\/(-2)*4. Let u(c) = -c**3 - 12*c**2 - 13*c - 21. Let p be u(-11). Sort g, p, 7 in descending order.\nAnswer: 7, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 7 - 2 - u**2 + 2 - 8. What is h(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*b - 59*b - 28*b + 317 + 111*b to o + i*b and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -34, 5\/2, 2\/5, 89, 1\/5 in ascending order.\nAnswer: -34, -2, 1\/5, 2\/5, 5\/2, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 3:03 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.059 - -19.8\nAnswer: 19.859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 6*w + 8. Let z(m) = m**2 - 5*m + 5. Let q be 1\/4*-5*-4. Let o be z(q). Let k(b) = -7*b - 9. Let i(h) = o*p(h) + 4*k(h). What is i(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1327550 to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u**2 - 66*u**2 + 14*u**2)*(u + 3 - 3)*(-2 + 4 + 3) to c*u**3 + r*u + i*u**2 + a and give c.\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/5, -1\/4, -116?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -5 (b) -2.8 (c) 2\/15 (d) -0.1 (e) 0 (f) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 491 - -578. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 2*q + 8. Let x be 1 + (12 + -3)\/(-3). Let n = x + -1. Let k(m) = -m. Let o(f) = n*k(f) + s(f). Calculate o(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*j + j - 6*j)*(-3*j**4 - 16*j**4 - 23*j**4 + 1).\nAnswer: -336*j**5 + 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(88)*-3)\/sqrt(128).\nAnswer: -3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*v. Suppose p = u - 3 + 4, -3*p + 3 = 0. Suppose u*d + d - 1 = v. Which is smaller: 2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-1 + sqrt(605)*1 - sqrt(605)) + sqrt(605)).\nAnswer: -66*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 297919649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -43*i. Suppose -a = -5*a - 4. Is q(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04319352632 rounded to 3 dps?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t + 1 = 10 + 3. Let q(c) = 99*c + 4. Determine q(t).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + r - 1. Let p(y) be the third derivative of -y**6\/40 - y**5\/20 + y**4\/8 - y**3\/2 + 5*y**2. Calculate -3*m(s) + p(s).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -2*j - 38, -46*j - 46*j - 45 = 4*f - 95*j for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.5 + -6.5. Which is the nearest to i? (a) 4\/9 (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + a - 4*a)*(-2 - a + 2) - 3*a**2 + 0*a**2 + 4*a**2 + (-a + 4*a - 5*a)*(-4*a - 4*a + 7*a).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 39 or 34?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -22*m + 9. Let s(x) = x. Let p(q) = -o(q) - 6*s(q). Differentiate p(a) with respect to a.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1024, 930, 836?\nAnswer: 742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7298*a*c**5 + 23*a*c - a - 959*c**4 + 39487*c - 3 wrt c?\nAnswer: -145960*a*c**3 - 11508*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -12*i - 4. Let n be h(-2). Suppose 15*o + 120 = n*o. What is the least common multiple of 6 and 5\/(-30)*-8*o?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-20\/7)*i*i**(2\/15))**(-3\/19) assuming i is positive.\nAnswer: i**(181\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -99.2802403 to the nearest integer.\nAnswer: -99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(192\/8))\/(-1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 29*w + 2. Let d be u(2). Suppose -16*q - 22 = -17*q - g, 0 = 4*q - g - 98. Calculate the highest common divisor of q and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/4)\/((-9)\/(-12)). Let y(a) = 5 - 1 + 0 + 3*a - 1 - 4*a**2. Let g(q) = 4*q**2 - 2*q - 2. What is i*y(t) - 3*g(t)?\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 6. List the prime factors of 2\/m + 235\/35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(7\/(-56))\/((5\/4)\/(90\/54))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -m**3 + 3*m**2 + 24*m + 34. Factor l(b).\nAnswer: -3*(b - 4)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 12:58 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(32)\/sqrt(4)*-2)\/(2*sqrt(100)) - (sqrt(18)\/(-4*sqrt(9)) + (sqrt(64)\/sqrt(4))\/sqrt(8))))**2.\nAnswer: 361\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5 - 4 - 13*d**2 + 8*d - 4*d + 11*d**2. Let s be m(2). Is s at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4793 or 4787?\nAnswer: 4793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -810975 - 534624 = -27*j. What are the prime factors of j?\nAnswer: 19, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 169942986 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 1 = -14*q - 2, 2*f - q = 4*q - 58 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 3*f**2 - f + 4. Let k = 1 - -1. Let s be 2 - (-6)\/k - 2. Is h(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h - 1. Let q(k) = -7*k + 2. Let d(a) = -5*o(a) - q(a). Let s(p) = -2*p - 3. Determine -2*d(r) - 3*s(r).\nAnswer: 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cicmdjcciic. Give prob of sequence dj.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32092, 64202, 96312?\nAnswer: 128422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 - 29. Suppose 5*z - m - 27 = 0. Calculate the remainder when 37 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(384\/(-80)))\/((-20)\/(-8))*9\/36.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + 41. Solve 0 = v*o + o - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9915323 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60 - 52) + 6 + (-3 - 0) + (84 - -10).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-162)\/(-198) - (1 + (-26)\/22). Suppose -2 = -0*c + c. Sort 6, c, v.\nAnswer: c, v, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -3, 1.1, 1.5 in ascending order.\nAnswer: -3, 0.3, 1.1, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -105168.\nAnswer: -1\/35056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 8) to base 15\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 546 is divided by 107.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {t: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.41*-60769.\nAnswer: 24915.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16*(-1)\/(-55))\/(6\/15)?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (4 - 0 - 7) + 11 - 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -17204?\nAnswer: 8602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 367 - 116. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 5. Suppose 0 = -f*b + 2*b + 4. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32351\/3 - -13522667\/1254. Let t = o - -5\/38. What is the common denominator of t and 4\/(-18) + 595\/(-36)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 2*c + 1. Let b(f) be the first derivative of f**4\/4 - 10*f**3\/3 + 4*f**2 + 13*f + 4. Let k be b(9). Is 9 a factor of j(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*n - 10 - 3, 5*n = k + 26. Let o(h) = -10*h**3 - 2*h**2 - h. Let j be o(-1). Solve n*b - 6 - j = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 8*x**2 + 15*x - 179. Determine f(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*h + 67*h = -33. Let k be 2\/h - (-290)\/22. Let n(c) = -c**3 + 12*c**2 + 14*c - 9. Let o be n(k). Solve -5 - 9 = -3*j + a, o*j = -5*a + 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 4*m**5 + 512*m**4 + 23784*m**3 + 483472*m**2 + 4103060*m + 11094000 = 0?\nAnswer: -43, -25, -12, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*u + 69 + 102 = 0 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**2 - 77*a + 62. What is j(-38)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 310786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (26\/(-2))\/((-3)\/147). Let f = r + 1365. Suppose p = f + 3198. Round p to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*x - 818*x + 771*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 + 18. Let c = y - -40. Calculate the remainder when c is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 5:13 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(-3*g + g - g) + g - 16*g - 33*g - 35 + 35 - 13*g.\nAnswer: -67*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 712*p = 730*p. Let r(g) be the third derivative of 1\/10*g**5 + 0*g**4 - 17*g**2 + 0*g**3 + p + 0*g. Let v(a) = -4*a. Calculate r(v(s)).\nAnswer: 96*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006762792576 rounded to 7 dps?\nAnswer: -0.0006763","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 279 divide 49104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31212728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*o**2 - 4*o**2 - o**2)*(-100728*o + 7990*o**3 + 100728*o).\nAnswer: -15980*o**5 + 15980*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4*6\/48*122\/732\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 3*g**3 - 21*g + 18 = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*2)\/sqrt(12) + sqrt(171) + -3.\nAnswer: -3 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -6. Suppose -h + 4*h - 4*i = -z, -3*i = -5*h + 10. Suppose 2*r + h*o - 93 = 0, -4*r + o + 155 = 24. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 124 - 36. Let r(x) = x + 14. Let l be r(-10). Suppose 15*s - l*s = 22. Calculate the highest common divisor of y and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*sqrt(1573))**2.\nAnswer: -31460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**4 - 428766*g**3 - 61276663740*g**2 - 2918443924844200*g + 70077955482168000 = 0.\nAnswer: -142930, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*g**2 + 13*g**2 + 16*g + 4*g**4 - 6*g**4 + 17*g**2 to the form o*g + w*g**2 + s*g**4 + n*g**3 + r and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + q**4 - 2 + (-137*q**4 - 36*q**4 - 9*q**4)*(3 + 3 - 5) - 4*q**4 + 0*q**4 + 2*q**4 - 2*q**4 + q - q.\nAnswer: -185*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4901088698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 81 = -5*s + 6*s, -2*s = 2. What is the remainder when 77 is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) 0.2 (c) -8 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**3 - 7*v**3 + v**3.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 468 = 29*n - 257. Are n and 10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406 = -29*x - 116 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16265180 and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/21 and (-33615)\/(-93975) + (5 - 189\/35).\nAnswer: 3759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1313 = 3*u - g, 0 = -66*g + 70*g + 8. What is the greatest common factor of u and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 42 (b) 53 (c) 3 (d) 2238\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4\/91 (b) -3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -0.73 (c) 801\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a6 (base 13) in base 14?\nAnswer: 5c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 1441*n - 1951. Calculate k(1).\nAnswer: -510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/13211 and 27\/10.\nAnswer: 132110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -989 divided by -117207.\nAnswer: 989\/117207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from {z: 1, k: 2, r: 2, t: 2, c: 1, v: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 175 = 10*q, -3*q + 1873612 - 1873544 = -2*i for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -59685344157188 and 0.4?\nAnswer: 59685344157188.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*a + 21 + 25*a - 3*a as s*a + w and give w.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlzqtltzlqllolmtlz. What is prob of sequence lo?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2067408 and 8614200?\nAnswer: 51685200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 1406*k**3 - 708*k**3 + 4*k**2 - 697*k**3 - 3*k**2 - 3 - 4*k. Suppose b + 6 = -2*b. Let m be o(b). What is the highest common divisor of m and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*r - 72*r = 36 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41.32 + 51.32. Suppose 0 = -3*u + u - 10. Let w = -2 + 2. Which is the biggest value? (a) g (b) w (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 2*i. Let p(a) = 48*a**2 + 4*a. Let k(q) = -2*h(q) + p(q). Let v(j) = 5*j. Give k(v(x)).\nAnswer: 1250*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 373 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 598, -524, -2410, -5060, -8474, -12652, -17594?\nAnswer: -23300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*p**5 + 13422*p**4 + 2360444*p**3 - 795772*p**2 - 1315342*p - 262770 = 0. What is p?\nAnswer: -461, -285, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 0.18, -113, 0.01?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2094 divided by 3\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 10 = 4. Solve 0 = -4*r - 3*l - 10, 1 + 17 = -g*r + 5*l for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000019483 rounded to six decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*h**3 + 56*h**3 - 354*h**2 + 1451*h**2 - 352*h**2 - 392*h**2 - 353*h**2.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j. Let c be r(-4). Suppose 2*b - 350 = -c*u, 3*b + 385 = 4*u - 2*b. Let h be 31480\/u - 4\/(-18). What is h rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ff - -27?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -422, -10.56, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.5 (b) 222 (c) 0.19 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*b = -100. Suppose 0*y = -2*y + b. Let o = -666 + 704. Calculate the remainder when o is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2368 - 2365. Solve 4*q + 4*w = -4, m*w = 2*q + 3*q - 35 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-125*y + 45*y - 82*y + (y - y + 2*y)*(6 - 2 - 2))*(223 + 5*y - 118 - 122) as k*y + j*y**2 + p and give k.\nAnswer: 2686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 356 - 380 = 0 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*f - 2*p + 138, 5*f + 2*p = 171. What are the prime factors of f?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyob when four letters picked without replacement from {b: 1, y: 4, o: 13}.\nAnswer: 13\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17942933.\nAnswer: 1181, 15193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -3. Let i(u) = 0*u + u**2 - x*u + u. Let b be ((0 - -2) + -2)\/2. Calculate i(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 0*n = 5*n + 27, 4*n = -5*d + 8. Let i(x) = x**2 + 9*x + 9. What is the remainder when i(d) is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q + 5. Let n be -1 + (-12)\/2 + 3. Let f(v) = 3*v + 1. Let c(p) = p. Let k(l) = -10*c(l) + 4*f(l). Let r be k(n). Determine x(r).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-6)*3\/10. Let r = 6.9 + -5.9. Put 5, r, w in descending order.\nAnswer: 5, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (176\/24)\/(-3*2\/261). Let v = 490 + c. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 0.07 (c) -10\/11 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(56)\/sqrt(8) + 4 + sqrt(7)*2 + 0 + (sqrt(28) + -5)*-2 + (sqrt(175)*1 + -3)**2.\nAnswer: -30*sqrt(7) + 198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + -1. Let b = 0.078 - -0.222. Sort -5\/4, v, -0.1, b.\nAnswer: v, -5\/4, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38174\/83965 + 6\/2399. Let h = -211\/385 + u. What is the second biggest value in -5, -0.4, h, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 526a3 + 6e?\nAnswer: 52711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - 6*2*sqrt(121)) + sqrt(121) - sqrt(121) - sqrt(121))\/sqrt(11).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -516961*g**3 + 7223074*g**2 + 201220*g + 1400.\nAnswer: -(g - 14)*(719*g + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -5. Suppose -2*l = -5*u + 151, r*l + 10 = -5*u + 175. Is u a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10650408?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 8) to base 2.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36557385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 45 (b) -15 (c) -1935\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3814254869?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16667, 34167, 51667, 69167, 86667, 104167?\nAnswer: 121667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2792807*s**2 + 643597*s wrt s.\nAnswer: -5585614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 c when two letters picked without replacement from clcjldclejllljjc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14210779?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*k + 56*k + 40*k + 2.\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t + 2 + 0*t + 3 + 4*t. Let v be s(-5). Let z = v + 3. Let c(a) = a**3 - 2*a - 9. Let u(k) = -k**3 + k + 5. Calculate z*c(x) + 5*u(x).\nAnswer: -2*x**3 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10, -14, -20, -28?\n\"Answer: -s**2 - s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -172, -0.3, -1 in increasing order.\nAnswer: -172, -1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -233.2 + 234.823. What is u rounded to 1 dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2808)\/234 + (14 - 0). Solve t*g = -18*g + 40 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**2 - 14*c + 13. Give x(6).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -745\/558 - -1\/558. Let i = -8 - -8. Which is the closest to i? (a) 1 (b) -0.05 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0156196 to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2467 + 6*p**2 + 5314 - 2473 in the form u*p + a*p**2 + w and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6445, -0.5, 8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -1\/2, -3548, 93\/5, -15?\nAnswer: -3548","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 2, f: 1, c: 1, p: 7, d: 2, k: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 223 - 220. Let g be m\/(-12) + 99\/(-36) - 40. Which is smaller: -44 or g?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 4*b + 54. Let i(n) = -2*n**3 - 2*n - 2. Let f = 4 - 6. Let x be i(f). Calculate the greatest common factor of b and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 13 = 63. Suppose -n*v + 9 = -86. Let t = -1 - -2. Sort 0, v, -2, t in descending order.\nAnswer: v, t, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/(-4) + 24 + 0. Suppose 0 = -6*z + 62 - o. List the prime factors of (5 - z)\/(2\/(-154)*2).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-823*q**2 - 25211 + 25211)*((-1 - 2 + 4)*(0*q + 5*q - 3*q) - 4 + q + 4).\nAnswer: -2469*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n - n + 3*n)*(14 - 17 - 11) + 175 + 78 - 254 + 3213*n to the form j + f*n and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 833904?\nAnswer: 2, 3, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -560 = 4*g - 5*l - 547, -4*g - 22 - 9 = l for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 13*q**2 + q + 7. Let d be x(13). Suppose -d = 7*g - 9*g. Let a(z) = 3*z - g*z**2 + 3 - 4 - z - 5*z**3 + 9*z**2. Give a(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -110 - 103 - -107 - -134?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 28\/((-28)\/3) - 14\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 x when four letters picked without replacement from aqaeaasx?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13024?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l + 9. What is j(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(3\/8)*n**1*n)\/(((n*n\/(n**12*n))\/n)\/n*n**(-7)*n))**(-27) assuming n is positive.\nAnswer: n**(-4617\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w + 9*w**3 - 3*w**4 - 5*w - 9*w**2 + 3*w.\nAnswer: -3*w*(w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, -98, -247, -436, -671?\nAnswer: -958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5*o**4 - 151*o**3 - 22*o**2 - 22*o - 11. Let q(u) = 4*u**4 - 121*u**3 - 18*u**2 - 18*u - 9. Let k(b) = -11*q(b) + 9*v(b). Factor k(c).\nAnswer: c**3*(c - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l - 8. Let r(w) = 1 - 10 + 8 + w. Let z(s) = -b(s) + 2*r(s). What is the first derivative of z(y) wrt y?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3149734230 - 3*l + 3149734230.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*96\/99 - -3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.109*-0.2181\nAnswer: 0.0237729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = c - 0. Let o be (5 - 2)\/((-3)\/c). Suppose -2*w**o + 2*w**2 - 6*w**2 + 2*w**3 + 2*w + 2*w**2 = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-2))\/((-1)\/(-2)). Suppose 2*f - 2*g - 10 = -5*g, -8 = -4*g. What are the prime factors of (j\/(-3))\/(f\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kkhk.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w + 396 = -0*w. Let i = -133\/4 - w. Which is the second biggest value? (a) 0 (b) i (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1568 divided by -24\nAnswer: -196\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63330.\nAnswer: 2, 3, 5, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 1.1 (c) -338\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3450 divided by 46\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20400 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/8 and 33\/446.\nAnswer: 1784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -10*v. Let l = -8 - -11. What is the second derivative of 2*r**5 + v*r - l*r**5 + r wrt r?\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8388.26kg to grams.\nAnswer: 8388260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c**3 - 5*c**2 - 5*c. Let v = 432 - 424. Suppose -v*k - 17 = 23. Let i(w) = 10*w**3 - 12*w**2 - 12*w. Determine k*i(t) + 12*z(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, -2, 41, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 + -41. Let h(p) = 47 + 35 + 6*p - u*p + 8. Does 9 divide h(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 329\/2668 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 209.9325 * -84.\nAnswer: -17634.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1038?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 + 199 = -27*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a microgram in nanograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 5*k - 385, -110 = -p - 4*k - 0. Let t = p + -64. Let s = -16 + t. Calculate the highest common factor of 20 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 14154?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b5a480 (base 13) to base 6\nAnswer: 231030522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 40\/(-5)*(-3)\/12. Suppose 4*w + 24 = -p*w. Let x(l) = l**3 + 6*l**2 + 7*l. Let o be x(w). Solve o*v - v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/10)\/(1*(-11)\/25). Is x > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**5\/20 - v**4\/12 - v**3\/6 + 2*v**2 - 220*v - 4. Calculate g(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-294)*6*(-3)\/((-30)\/(-35))?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 12:02 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.342 less than 0.41537631?\nAnswer: 15.75737631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*9.4.\nAnswer: -131.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.92 + -0.08. Let z = -4.3 - v. Let h = 1 - z. Which is the third smallest value? (a) h (b) -2\/3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z = -4*z + 56 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5 + sqrt(128) + -1 + sqrt(128))*-1 + (6*sqrt(128)*1 - (sqrt(128) + sqrt(128)*-1 + 2 + sqrt(128) - sqrt(128))))*-6)**2.\nAnswer: 9216*sqrt(2) + 74304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 17*l**2 + 4*l + 3. Let x be j(-2). What is the greatest common divisor of 7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 33*m**2 - 141*m + 220. Let p be z(-37). Is 7 less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(8)\/sqrt(2)) - (sqrt(5) + sqrt(25)\/sqrt(5) + -1 - sqrt(5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20215484 is divided by 1500.\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (-40)\/12 + 1. Which is the third smallest value? (a) d (b) 5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of q**2\/2 + 16*q + 6. Is b(11) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 4*k**2 - 2*k + 2. Let i be a(4). Let m = i + 11. Suppose 1 = 3*j - m. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 - 9 - (0 - 5214) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 2*j - 25, 8*i - j = 5*i + 15. Let k(b) = b**3 + b**2 + 110*b + 1064. Let f be k(-7). Solve i*r - 3*o + 7 - 19 = f, -r + 3*o = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3638447889?\nAnswer: 3, 1212815963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2104 - -131021143?\nAnswer: 131023302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/3 + (3 - -71). Let j = b + -31. Is j a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -9*q. Let b be u(-2). Let t(c) = 4*c - 17. Let v be t(5). Sort 5, v, b in decreasing order.\nAnswer: b, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -5. Let z(k) = -k**2 - 2*k + 5. Let s be z(-4). Let q(v) = -2*v - v - 5 - 1 + 4*v. What is s*i(p) + 2*q(p)?\nAnswer: 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -x + 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5226*k - 372*k**2 - 347*k**2 + 1061*k**2 - 1038*k - 341*k**2 as v*k + f + j*k**2 and give v.\nAnswer: 4188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*j - 4*z - 1 = -24*j - 9, 11*z + 5 = -5*j - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -1\/60*s**5 + 14*s**2 + 0*s + 8\/3*s**3 + 19\/24*s**4 + 0. Let u be r(19). Calculate the greatest common factor of u and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*(-1*1 + 60\/(-36)). Let c(k) = k**3 - 13*k**2 - 40*k + 24. What is the remainder when c(t) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 4844.\nAnswer: 53284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 4, 37, -1 in increasing order.\nAnswer: -1, 1, 2, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13924.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 257 or 267?\nAnswer: 267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134, -681, -1592, -2861, -4482, -6449?\nAnswer: -8756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*m - 11, -m - 13 = -3*g - 4. Let t(z) be the second derivative of 1\/12*z**4 + 0 + 1\/12*z**3 + 4*z + 0*z**g + 1\/40*z**5. Factor t(r).\nAnswer: r*(r + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 5*g - 12, -3*g = -4*k - 6*g + 52. Let m be 8*k\/6*(-1827)\/(-84). What is the highest common factor of m and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -396486, -792864, -1189244, -1585626, -1982010, -2378396, -2774784?\n\"Answer: -y**2 - 396375*y - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p. Let z(s) be the first derivative of 0*s**2 - 11\/6*s**3 - 3*s - 18. Let a(f) be the first derivative of z(f). What is k(a(g))?\nAnswer: 22*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2, -123, 3, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**3 + 55*q**3 - q**3 + (-4*q + 3*q + 2*q)*(-7*q + 2*q + q)*((0*q - 2*q + 4*q)*(-3 + 6 - 1) - 2*q + q - 2*q).\nAnswer: 47*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2987547259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56 + 55.3. Let f = 0.31 - 0.01. Let i = f - j. Which is smaller: i or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 292702344?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (11 - (-1 + 0)). Suppose -u*v + 580 = -4*v. Let b = v + 33. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 14. What is the remainder when 65 is divided by y(-8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 times 45?\nAnswer: 9495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6396?\nAnswer: 2, 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -11\/498 (c) 0 (d) -0.2 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -659\/3, -1\/7, -4\/7, 2.18?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9492*d**3*o**2*v - 2*d**2*o**2*v + d*o**2*v - 2*d*o**2 + 7985*v wrt d?\nAnswer: 56952*d*o**2*v - 4*o**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l**3 - 3*l**2 - 7*l - 1. Let j(c) = 2*c**3 - 2*c**2 - 5*c - 1. Determine -7*j(s) + 5*k(s).\nAnswer: s**3 - s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 57 = -2*t, 666*t - 5*x = 663*t + 250 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 8. Let r = -5.3053 + 5.2253. Which is the second biggest value? (a) r (b) f (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201212 + -1?\nAnswer: -201220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*j**2 + 3631*j**3 - 3633*j**3 + 64*j**2 + 63*j**2 - 50*j**5 wrt j.\nAnswer: -3000*j**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 6*s. Suppose -4*h + y = 51, -h = y + 2*y + 3. Let u be (h\/3)\/(-4)*(-3 - 0). Let x be (u\/1)\/(27\/(-18)). Calculate f(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2257972504 to the nearest 1000000.\nAnswer: 2258000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -20*y - 3. Let h(j) = -39*j - 6. Calculate -9*g(n) + 5*h(n).\nAnswer: -15*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 + 158358*y**2 + 3*y - 158358.\nAnswer: -3*(y - 52786)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 11771 = -3*h - 11798, -4*h - 57 = 2*z + 3*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/(-165) - (-74)\/(-44). Suppose 2*a - 2 = a. Suppose -k = 4*r - 0*k - 2, r = k - a. Sort r, -2\/3, g.\nAnswer: g, -2\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -49*z**5\/2 + 33117*z**4\/2 - 386745*z**3\/2 + 638623*z**2\/2 - 172353*z + 29880 = 0?\nAnswer: 3\/7, 1, 10, 664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2. Let v(w) = 70*w**2. Calculate v(m(n)).\nAnswer: 70*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 184890746?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10609, 10610, 10619, 10642, 10685?\n\"Answer: o**3 - 2*o**2 + 10610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1719 by 3.\nAnswer: -573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11.40213 + 28.717\nAnswer: 40.11913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 250402070 a multiple of 2045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -108988, -218584, -328180, -437776, -547372?\n\"Answer: -109596*h + 608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8039, -17481, -26923, -36365?\n\"Answer: -9442*t + 1403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -2 (c) 2\/257 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -385.9, 0.0531 in increasing order.\nAnswer: -385.9, -4, -2, 0.0531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6609 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 114 and 1026.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 417005918*h - 332156460.\nAnswer: 417005918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9453808 millilitres?\nAnswer: 0.0009453808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1208 = 7*x - 3713. What is the greatest common factor of 19 and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/5, 0.06, -1758, -1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 12293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 625*n + 333*n - 29*n - 91*n.\nAnswer: 838*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 229 - 223 - (0 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8601 and -1.6.\nAnswer: -8602.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-25 + -175)*39\/5. Calculate the common denominator of 5\/4 and 2\/5 - (v\/(-275) - 4).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 9*x + 18. Let k be w(-2). Suppose k = -r + 321 + 387. What are the prime factors of r?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (-5 - (-18)\/6). What is the units digit of 275 + 1\/(k\/1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*a + 158*a - 455 = 255*a + 7917 for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 11 - 29 = 0. Let b(c) = -c**3 + c - 1. Let w(h) = -4*h**3 + 5*h**2 + h - 6. Let v(j) = 5*b(j) - w(j). Let o be v(d). Solve 5*k - o - 2 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)\/(s\/(s*s**(-3)*s)))\/(s\/s**(-1\/2))**(4\/7) assuming s is positive.\nAnswer: s**(-55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 62368451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**2 - 420*a - 443*a + 1298*a - 435*a.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 6 + l + l + 8*l - 6*l. Is g(2) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42651 and 126.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/70 and 12 + ((-2278)\/28)\/17?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-10))\/((-13)\/(-26))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -730 - -730.07. What is the third biggest value in -2\/13, -0.3, 3\/2, a?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2147894 = 4*h + 5*m, 3*h - 169*m = -171*m + 1610917. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 5, -8, -49 in ascending order.\nAnswer: -49, -8, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4793 + -6?\nAnswer: -4799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/6? (a) 0 (b) -1 (c) 8\/13 (d) -0.3 (e) -1146 (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7231532171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 5\/14 (c) -2151820\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4674497691 to the nearest integer?\nAnswer: 68370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/133644 and -99\/3010.\nAnswer: 668220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13355 (base 9) to base 8\nAnswer: -21521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5)*r\/r**8)\/(r**(-2)\/((r\/(r*r**(4\/13)\/r))\/r)) assuming r is positive.\nAnswer: r**(-134\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a = 3*a + 2*t - 5, 1 = -a + 2*t for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r + 0*r + 0*r + (2 + 3*r - 2)*(367 + 654 + 3346) to v*r + a and give v.\nAnswer: 13100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*u + 1894 = -2591 + 2739 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -50 + 137 - 41 - 46 + 205*a as w + z*a and give z.\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 != -500\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1380 and 16.\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -152079, -304406, -456739, -609078, -761423, -913774?\nAnswer: -1066131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -4*u + 116, 14323*n - 697 = 14352*n + u for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65*h**5*l**2 - 831*h**5*l + 2*h*l**2 - h + 201*l**2 + 2 wrt h.\nAnswer: 1300*h**3*l**2 - 16620*h**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2230.\nAnswer: 2, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 4:34 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7776135865 to the nearest integer?\nAnswer: 1981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4430?\nAnswer: 2, 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9205 - 26962\/3. Let g = k + -226. Which is smaller: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*s + s. Suppose s*b - 21 = -9. Let o = -951 + 952. Solve b*x - 3*j - o = 0, x - j - 11 = -3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41532 divided by -4.\nAnswer: 10383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 319 = -5*p + 4044. Suppose -8*d + p = -3*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -283, 7, 1853, 1.\nAnswer: -283, 1, 7, 1853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4587)\/110*(-3)\/9 - 2\/(-20).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 8:29 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -1293*y + 15 + 0 + 3*y**2 + 1 + 1292*y. Determine i(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -17*z + 166. Let r(d) = 4444*d + 1. What is f(r(o))?\nAnswer: -75548*o + 149","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 635.79 litres in millilitres?\nAnswer: 635790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -275, -553, -831, -1109, -1387, -1665?\nAnswer: -1943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a6641 (base 12) to base 3.\nAnswer: 212202020211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48.1 - 53. Let d = a - -4.36. Are d and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.676553071 rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6.54? (a) 8\/23 (b) 3\/4 (c) -1 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6041326?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -0.0011272137778.\nAnswer: -1.0011272137778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*o, -q + 3*o - 685 = -5357. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199\/816 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w. Let h(y) = -10515*y. Give b(h(l)).\nAnswer: -21030*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-24)\/(-18))\/((-4)\/(-9)). Solve -7*r - 13\/4*r**2 - s - 1\/4*r**5 + 9\/4*r**3 + 5\/4*r**4 = 0 for r.\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from xwkxxxkwx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -2685*f**4\/4 - f**2 + 60*f + 1708. Find the second derivative of v(z) wrt z.\nAnswer: -16110*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15458 and 58056.\nAnswer: 7605336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/5))**(-2\/31) assuming l is positive.\nAnswer: l**(6\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 53 + 26 + 11*k**2 + 26. Let a = -13 + 24. Let b be c(a). Let s(u) = -9*u - 1. Give s(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -74.2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-105)\/(-56)*(-2)\/(-3)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**6\/120 + k**5\/20 - k**4\/12 - k**3\/3 - 3919*k**2. Let y be 5\/1 + 4\/(-2). Suppose y*t = -7 - 2. What is v(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*d - 4497 + 4422 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27\/56551 or 1?\nAnswer: 27\/56551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -3338510 to the nearest 100000.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xsfsxxwfsxxxxwfx. Give prob of picking 2 w and 2 s.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*u + 52*u + 4*a - 10*a - 16, -2*u + 2*a = -8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2537 is divided by 2496.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -27*i + 155. What is b(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17448\/215 + 406\/5. Let p = h + -51\/172. What is the nearest to -3 in -3, 5, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 13*i**2 - 12*i + 3. Let d be t(-12). Suppose -3*x = d*v + v - 64, 3*x = 0. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 25*q - 24*q. Let y be (0 - -3)\/(q*2\/100). Suppose 7*o - 13 = y. Let d(c) = -c**2 + 7*c + 12. Calculate d(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(112) - 2*sqrt(112) - sqrt(112))\/sqrt(4))**2.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -10*y**2 - 2*y + 1. Give c(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84778154 to the nearest integer?\nAnswer: 9208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.2 (c) -4\/33 (d) -406\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eyqeqbedybeedye. Give prob of picking 1 e and 1 q.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.058 (b) 4 (c) -2\/7 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 30 + 18. Suppose 5*n - 2*j + 20 = 0, 2*n + n + 12 = j. Let s be (-236)\/(-6) - n\/6. Calculate the greatest common divisor of s and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**3 + 5*k**2 - 5*k**3 + 2*k**3 + (-774 + 7*k**2 + 774)*(-4*k + 0 + 0).\nAnswer: -27*k**3 + 5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, -0.24, 4, 1, 1\/4, -1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 7*m. Let c(r) = 219667*r**2. Determine p(c(o)).\nAnswer: 1537669*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u**2 + 223*u**2 - 213*u**2 + 2*u - 2*u - 4*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*x, -2*f - 10 = -f - 2*x for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107241604?\nAnswer: 2, 26810401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, v: 1, b: 3, q: 4, c: 1, g: 4}. What is prob of picking 2 q and 1 g?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5517779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2726930*k**3 - 2344671*k**2 wrt k?\nAnswer: -16361580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2977, -7265, -14417, -24439, -37337, -53117, -71785?\nAnswer: -93347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - 0. Let j be v*2\/(-16)*0. Differentiate -y - 5*y + 3*y + j + 4 with respect to y.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1373257.3*4.\nAnswer: -5493029.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 23*o**2. Let l(m) = -4521803*m. Calculate d(l(v)).\nAnswer: 470274154528607*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 315 - 159. Let r(q) = -w*q + 6*q**2 + 315*q - 159*q. Let l(g) = -5*g**2. Give r(l(p)).\nAnswer: 150*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a + 4. Let t be o(-4). Let r = t - -7. Suppose 4 = 3*l - 2. Solve -l*x = -r*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 449*p - 1355. What is i(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-21)\/k**(-19)*k**31\/(k**(-49)*k) assuming k is positive.\nAnswer: k**77","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -99\/212 or 0.0988?\nAnswer: 0.0988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 169 less than 0.3?\nAnswer: -168.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, a: 3, s: 4, n: 10}. Give prob of picking 1 n and 2 a.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-20)*1 + 34\/(4930\/4031))*2?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3288.764 to the nearest one hundred.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**2\/11 + 9883300*t\/11 + 12209952361250\/11 = 0.\nAnswer: -2470825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*g = -5, -5*m - 3*g + 25 = 2*g. Calculate the remainder when 37 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 28*(-5)\/(-10) - (1 - 1). Suppose -4*w - 92 = 5*y - 32, 3*w = 3*y - 18. Let q = t + w. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 5:51 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2, 20, 64, 146, 278, 472?\n\"Answer: 2*n**3 + n**2 + n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**5\/3 + 4*q**4 - 47*q**3\/3 + 52*q**2\/3 + 16*q - 64\/3 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*n - 54*n - 104*n)*(n - 3 + 3) - 4*n + 4*n + n**2 + (0 + 0 + n)*(-3*n + 2*n + 2*n) + 3*n**2 - 3*n**2 - 2*n**2 + 0*n**2 + n**2 + n**2.\nAnswer: -123*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/5)\/(7\/((-70)\/4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/(153\/(-48)))\/((-1841)\/1578)?\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -4*a**5\/5 - 48*a**4 - 3596*a**3\/5 + 48*a**2 + 720*a = 0.\nAnswer: -30, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**3 - 258*z**2 - 5*z**3 + z**3.\nAnswer: -2*z**3 - 258*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-3)\/(-6)*933\/622.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47761798.\nAnswer: 2, 7, 53, 59, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 5*c + 2*c)*(-2 + 2 + 2)*(5 + 0 - 4).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 3*a**2 + 23*a - 31. Suppose 3*n - 16 = -7*z + 5*z, 3*z = -3. Let b be h(n). Let k(i) = 7*i - 7. Let u(r) = r - 1. Determine b*k(d) + 6*u(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2377 and 186109592?\nAnswer: 2377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -178, -220, -250, -262, -250?\n\"Answer: n**3 - 49*n - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 12 = 128. Suppose -p = -4*a + 2*a. What is the remainder when a is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 216 + -213. Find the second derivative of 18*s**u - 10*s**3 + s**4 + 93*s - 6*s**4 + 2*s**4 - 21*s**3 wrt s.\nAnswer: -36*s**2 - 78*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + sqrt(3))*1 + (sqrt(588) - sqrt(12) - sqrt(3)) + 2.\nAnswer: -6 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - -68. Let z = x - 13. Let d = z + -19.004. What is d rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 32791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 12:37 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1776293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6752390, -13504773, -20257156, -27009539, -33761922?\n\"Answer: -6752383*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b - 2. Let f be u(5). Let i be ((f - 3)\/(-2))\/2. Factor 2\/9*g**2 + 2\/9*g + i.\nAnswer: 2*g*(g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 158812088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*j + 3 - 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/2)\/(-48))\/1*-6?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2331322 (base 5) in base 12?\nAnswer: -20874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 6*j - 15. Suppose -6 = -3*k + 2*m - 29, m - 29 = 4*k. Let c be h(k). What is the units digit of 2\/3*(-3663)\/c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -2*t - 4*w, -5*w + 1 + 7 = t. Let d = -84 - -142. What is the remainder when d is divided by t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = l - 4*k - 58, -l + 4*k + 58 = 0. Suppose l + 316 = 17*c. What is the remainder when 29 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 11*p - 7. Let y(i) be the second derivative of -5*i**3\/6 + 3*i**2\/2 + 3*i. Let z(f) = 3*g(f) + 7*y(f). Let k(w) = 2*w. What is z(k(x))?\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8411*z + 136560 - 742152 = 0 for z.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 12:32 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1452648?\nAnswer: 2, 3, 60527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/6*(-4)\/60*78.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnnnxxxxxxxnxx. Give prob of picking 2 x and 1 n.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s*s**(-13))**(-12\/11))**(-5\/3))**(-12))**(-1\/47) assuming s is positive.\nAnswer: s**(-240\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1430)\/(-15)*5\/(40\/3324). Let j = 7311 - n. What is j rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4*k = -24, 0*z - 3*k = 4*z + 26. Let p(s) = -7*s + 29. Let d(h) = -12*h + 38. Let c(j) = 2*d(j) - 3*p(j). What is c(z)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18*(-4)\/198 - 4\/(-22). What is the third smallest value in 3.1, -8, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-209)\/22 + 8 - -4. Let r(m) be the second derivative of 0 - w*m**2 - 1\/12*m**4 + 7*m + 7\/6*m**3. Calculate r(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -512 - -13a0?\nAnswer: b8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 28 + -23 + 2 - (1 + 4 + -5)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 62*n**2 - 100*n + 2355. Give v(63).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 v, and 1 m when three letters picked without replacement from mmvvavvmmammma.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/40128*16*2*-1?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44727 - 25243. What is the ten thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302447 is divided by 558.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 21396759 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 22*r**2 - 52*r + 408. Determine w(-25).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 667?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 115251081 divided by 38417027\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.308 + -0.219. Let w = -510733 + 510734. Which is the fourth smallest value? (a) -4 (b) w (c) u (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 6*r**2 - 13*r + 6. Let m(b) = -2*b**2 - 4*b + 2. Let v = 19 + -15. Let t(g) = v*n(g) - 14*m(g). Factor t(x).\nAnswer: -4*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b**3 - 7*b**2 - 2025*b + 215073 with respect to b.\nAnswer: -9*b**2 - 14*b - 2025","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 608, 2468, 5578, 9938?\n\"Answer: 625*r**2 - 15*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 40\/19, -0.5, 1, -4, 0, 4 in decreasing order.\nAnswer: 4, 40\/19, 1, 0, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3667091161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 4*r - 12 = 0. Suppose -q = r*q - 32. Suppose 30 = 2*j + q. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, q: 8, o: 2, l: 1, e: 5}. Give prob of picking 2 s and 1 l.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a + 2*a + 2*a**2)*(6404*a**2 + 63752*a**2 - 31939*a - 125320*a**2 - 167205*a**2 + 31939*a) to u*a**3 + x + n*a**4 + t*a**2 + g*a and give n.\nAnswer: -444738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 10 = 4. Which is the nearest to -0.1? (a) -0.04 (b) 5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -0.09, 35025?\nAnswer: 35025","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 373.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((1*sqrt(300) - sqrt(300)) + sqrt(300))**2)*-1 + 1*(-4 + (sqrt(300) - (sqrt(300) + -1)**2)) + 0 + 4.\nAnswer: -606 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a0911 - 39a8?\nAnswer: -a4809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 76234\/29 - 2629. Which is greater: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkynack. Give prob of picking 1 n and 1 k.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -27. Suppose -5*u + 22 = g, u + w*g - g + 4 = 0. Suppose -4*x = 2*s - 50, -132 = -u*s - 6*x + 3*x. Calculate the remainder when s is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 11.6, -2, 2\/7, -56, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -25*y**4 - 3*y**2 - 26*y + 3. Let m(j) = j**4 - j**2 + j + 1. Let n(d) = -f(d) + 3*m(d). What is the second derivative of n(t) wrt t?\nAnswer: 336*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*r**4 + 40185*r**3 + 10*r**2 - 813*r + 14.\nAnswer: -912*r + 241110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 8\/9, 2\/3, 0.1, 15\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/((u*u**(2\/3)\/u)\/u)*u*u))**(-19)*(u*u**(1\/3)\/u)**(-25\/4))**(-2\/5) assuming u is positive.\nAnswer: u**(-169\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 10:25 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/13048 and 127\/855576.\nAnswer: 5989032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**6\/840 + 3*w**5\/70 - 5*w**4\/8 + 100*w**3\/21 + 2*w**2 + 121*w + 2. Let g(b) = 0. Calculate b.\nAnswer: 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {s: 6, e: 7}.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + t + 1)*(0 + 0 + t)*(-4 + 4 - 4).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-4)*k*((k*k\/k**(2\/21))\/k)\/k)**(-32)\/((k**(1\/2))**24)**(10\/19) assuming k is positive.\nAnswer: k**(24232\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/12 - (-2466)\/(-36))*(-4)\/20.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2070\/510911 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 71516 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p - 11. Let c be r(13). Let b(z) = -3 + 3*z + 4 + c*z - 4. Let w be b(2). What is the greatest common factor of 77 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 21 = q - 0, 0 = q - x + 1. Let o be (-7)\/(-2) - 6\/(-12). Suppose 0 = 5*z - 6 - o. Sort q, 3, z in decreasing order.\nAnswer: 3, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**3 - 10*w**2 - 4*w - 1. Is s(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 26, 58, 112, 188, 286, 406, 548?\n\"Answer: 11*m**2 - m + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2d90d (base 14) in base 3?\nAnswer: 12210202122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/40 and 52\/3875?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20\/9*d - 8\/3 - 4\/9*d**2.\nAnswer: -4*(d - 3)*(d - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3 + 7 + o**2 + 7 + o**2 + 8*o. Is l(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62000 is divided by 15320?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/20 and 95\/23618.\nAnswer: 236180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 747 and 1541862.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26511 and 88370.\nAnswer: 265110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65 + 77. Solve -r + d = 2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 - -32) + 2 + -1 - -12 - 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/20*4*(-15)\/(-3) + 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a milligram in micrograms?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15 * -2\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1\/2 (b) 3 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 807 is divided by 156.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 g when two letters picked without replacement from {g: 2, f: 9, n: 2}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17265929?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + (sqrt(22) - -5*sqrt(1782)) + sqrt(22) + sqrt(792)*5)\/((sqrt(66) + ((sqrt(66)*1 + sqrt(66))*2 - sqrt(66)) + sqrt(66))\/(sqrt(600)*1)).\nAnswer: 156*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -556.6974 rounded to the nearest ten?\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2022 by 3.\nAnswer: -674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -183763*k**2 + 34684*k wrt k.\nAnswer: -367526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 20*k**3\/3 + 4*k**2 + 5*k - 9. Let o be z(-3). Let u = 265 - o. What are the prime factors of u?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 61 - 37. Suppose 0 = 5*k + 81 - 216. Find the common denominator of c\/k + (-1 - -1) and 35\/12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -111 - -2?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.4 + -42.4. Let p = 36.062 + b. Round p to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/8)\/(10\/4 + -3). Let m be (-20)\/5*2 + b. Let l be (-6 - m)\/(2\/(-2)). Calculate the highest common divisor of 4 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**3 - 5*w**2 + 7*w + 25. Let j be s(-10). Let q = j - -82. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 39\/(-78)*20\/(-2). Suppose -2*l = z - 5*z + 30, 4*z - 45 = c*l. Let y(t) = -t**2 + 4*t - 1. Determine y(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 825735, 825737, 825739, 825741, 825743, 825745?\n\"Answer: 2*b + 825733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from ddssddddddd.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 560 and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002486938 to 5 dps.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + b)*(-2 + 0 + 1) - 12*b + 8*b + 27*b + 3 - 3 - b + (-b - 5 + 5)*(3 + 1 - 3).\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**3\/2 - 16272*j**2 + 32547*j\/2 = 0. Calculate j.\nAnswer: -10849, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 67 + 3*b + 6*b - 2*b + 4*b. Let d be z(-6). Solve 0 = -g + 6 - d for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 161 - 116. Suppose 85*n = 90*n - q. Let r(y) = -y**2 + 9*y - 4. Determine r(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t - 121*t**3 - 1 + 0*t + 120*t**3 + 4*t**2. Give f(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p + 248173 + 4*p - 2*p - 5*p + p - 248172.\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 32\/(-8) + (-14)\/(-2). Suppose 2*d = -3*z + k*d - 104, 2*z + 74 = -4*d. Let c = z + 40. Calculate the lowest common multiple of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5819*a**3 + 31*a**2 + a + 29 wrt a.\nAnswer: 34914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3110501 (base 8) to base 10\nAnswer: 823617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/17300 and 13\/8.\nAnswer: 34600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 11*l**4\/24 + 2*l**2. Let d(u) = u. Give d(m(a)).\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/19 (b) -0.082 (c) 1205\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**5\/2 + 5*q**4 + 15*q**3\/2 - 20*q**2 + 10*q = 0. What is q?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j - 8*b - 4*b + 5 = -16*b, 0 = 3*j + 4*b + 19 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1602)\/315*(-35)\/14. Is z not equal to 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -i**3\/6 + 4*i. Let s(b) be the first derivative of b**3\/3 - 1. Calculate r(s(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 114260.83 rounded to the nearest one thousand?\nAnswer: 114000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -171932 and 0.1.\nAnswer: -171931.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030239 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4887?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/3)\/(s*s**4*s))**48 assuming s is positive.\nAnswer: s**(-272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -35.36 * -44.7\nAnswer: 1580.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**2 - 351 + y**2 - 102 - 4 + 10 to the form d + i*y + b*y**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 112 - 99 + 2*f.\nAnswer: 2*f - 230","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 4 = -5*m, -m + 438 = -r + 433 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -32*d**2 + 340*d + 132 = 0. What is d?\nAnswer: -3\/8, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*d + 11*d - 11*d - 103*d + 26*d to the form z*d + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((220\/8)\/(-11))\/((28\/(-7))\/40)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 230 = -138. Let g be o\/6 + (-51)\/9 + 6. Let p = -28 + g. Solve -3*z - 4*t - t + 32 = 0, p*t = z + 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103100118 to the power of 1\/2, to the nearest integer?\nAnswer: 10154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 11845100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -173766.\nAnswer: 1\/173766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 721642589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 3*(-1 + sqrt(931) + 0) - (2*-1*sqrt(931)*-2 + -3))*-6)**2.\nAnswer: 33516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -21. Let z(y) = 7*y**3 + 6*y**2 - 2*y. Let h(f) = -6*f**3 - 5*f**2 + 2*f. Give i*z(j) + 6*h(j).\nAnswer: -j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 409, 278, 97, -164, -535?\nAnswer: -1046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4440825 and 16283025.\nAnswer: 48849075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-95)\/(-35) - (-4)\/14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -213 - -216.13. Let u = k + 0.87. Let o = 7 - 2. Put 3\/4, o, u in descending order.\nAnswer: o, u, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 0*o**3 - 1\/75*o**5 + 1\/15*o**4 - 1\/150*o**6 + 0*o + o**2 + 0. Factor n(j).\nAnswer: -4*j*(j - 1)*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 507951?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -145074.4344 to the nearest 1000.\nAnswer: -145000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 36 + 13 + 7 - 130*z to p*z + x and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12165 and 255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(5) + sqrt(5) + 5)*5 + (-3 + sqrt(15)\/sqrt(3) - (sqrt(45) - sqrt(720))\/sqrt(9))**2 + 6*(-2*(1 + sqrt(500)) + sqrt(500))**2*5.\nAnswer: 1186*sqrt(5) + 15229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**7\/189 + z**5\/15 + 4*z**4\/27 + z**3\/9 - 7*z. Suppose v(k) = 0. Calculate k.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -8*k + 538. Suppose 0 = -4*g + 149 + 183. Let n = g - -17. What is the remainder when n is divided by d(63)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, i: 3}. Give prob of sequence mmi.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1494 divided by -2.\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 - -24. Let b = 10 - d. Is b a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(-11)\/((-198)\/1632). Let x = u + -78. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18288 divided by 16\nAnswer: -1143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7655*l + 3104*l + 0*l**3 + 1527 - 368*l**2 - 2675*l + 16145 + 4*l**3.\nAnswer: 4*(l - 47)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - k = 4*k + 85, 0 = 3*b - k - 43. What is the remainder when 76 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l*n**3*u - 15*l*n**3 - 745*l*n*u - 286*l - 12*n**3*u**2 with respect to u.\nAnswer: 2*l*n**3 - 745*l*n - 24*n**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*k - 196*k + 8204402 = 272*k. Is 159 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-17)\/(-34))\/(1\/(-74)). Let z = j + 71. Suppose -86 + 220 = i. Calculate the remainder when i is divided by z.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 224\/(-280)*10\/(-12)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 71 (b) 3 (c) 2\/5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 180 by -3.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 53*u**2 - u - 1. What is the units digit of z(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 64396211?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 19412 = -4*k - 5*w, k - 5*w = 4853. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -170\/13 - -541\/104. Find the common denominator of b and -16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 367*s**3 - 78*s**2 + s - 23824.\nAnswer: 2202*s - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -251 (base 15) to base 12\nAnswer: -37a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6*c**3 - 9*c - 5. Let k(b) = -b**3 + b + 1. Let d(t) = 5*k(t) + o(t). Find the second derivative of d(s) wrt s.\nAnswer: -66*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*m - 20 + 4, w + 6 = -m. Which is smaller: w or -15\/11?\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 6. Let a = -11.9 + u. Sort a, 3, -3\/2.\nAnswer: -3\/2, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1982, 1984, 1986, 1988, 1990?\n\"Answer: 2*d + 1980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -237783 divided by -427.\nAnswer: 33969\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}