diff --git "a/data/dm_maths/full_data_2/10762_11255.jsonl" "b/data/dm_maths/full_data_2/10762_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10762_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the closest to -1\/3 in -137, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -4*d**2 - 2\/5*d**3 - 14\/5*d + 36\/5 = 0?\nAnswer: -9, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7120, -14242, -21364?\nAnswer: -28486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 2*m - 2. Let j be v(2). Let q be (j\/(-7))\/(1\/7). Let x be 3\/q + (-2)\/4. Solve x = -2*r - 0*r - 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g. Let x(v) = -v**3 - 2*v**2 - v + 2. Let r be x(-2). Let c(k) = -3*k + 3 - 1 - r + 0. What is c(o) + 2*m(o)?\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 213 divided by 577.\nAnswer: 213\/577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/5 + 3542*y\/5 - 202016\/5.\nAnswer: -2*(y - 1712)*(y - 59)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1748 is divided by 77?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 3*v + 30, -12 = -5*f + 3*f - 2*v. Let t(b) = -7*b + 56. Let n be t(f). Let r = -208 - -3124\/15. Which is smaller: n or r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-5) - 26\/(-30). Let s = 3336379\/93000 + -1\/23250. Let z = 36 - s. What is the nearest to p in z, 2\/13, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -817929089*z**3 + 15*z**2 + 393*z + 2514 wrt z?\nAnswer: -4907574534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 8:21 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -5 + 44\/12?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 5*s + 354 + 332 = -s + 254, -15*s + 1629 = -3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -723, -1279, -1835, -2391, -2947?\n\"Answer: -556*q - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r + 23. Let j(n) = -37 - 17 + 80 - 16 - 11. Calculate -4*j(v) + z(v).\nAnswer: 2*v + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/30 - 2424887345\/4788287160. Let r = m - 57\/732154. Let k = r - 1\/545. Sort k, 0.1, -2.\nAnswer: -2, k, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 - 1. Let k = 1.4 - g. Which is the second smallest value? (a) -0.4 (b) k (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 0.3, -3\/5, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3733 - 3732.8. Let l(c) = -c**2 + 9*c + 3. Let p be l(9). Put -7, p, -4, u in descending order.\nAnswer: p, u, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (116 - 106 - (-1 + 43))) + -5?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7349716181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 40 = 28. Sort -4, r, 7 in decreasing order.\nAnswer: 7, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43233 or 43236?\nAnswer: 43233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 234 - 239 + 5*d - d**4 - d**4 to the form l*d**4 + h*d**2 + o + t*d**3 + v*d and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -5*v + 4. Let h(x) = -x + 2. Let z(q) = -q + 2*q - 17 + q + 16. Let u(s) = v*h(s) - 2*z(s). Calculate u(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 8:38 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8688*c**2 + 90*c + 11.\nAnswer: -17376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53 - 37. Let v = -12 + h. Solve 14 = 5*t - 3*q, -v + 0 = t - 4*q for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -89743\/220 - -1633\/4. Let w = 45\/61 + -1295\/1342. Let l = j + w. Put l, -3\/19, -0.1 in decreasing order.\nAnswer: l, -0.1, -3\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/48 and (((-21021)\/3766)\/(-21) - 1\/4)*5.\nAnswer: 12912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*p - 166 - 1176 = 137*p. Let g(d) = -3*d + 4. Let y(v) = -v. Let u be y(4). Let t(h) = -16*h + 21. Determine p*g(o) + u*t(o).\nAnswer: -2*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1529?\nAnswer: 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c. Let t be l(4). Let q(y) = -45*y + 13*y + 20*y + y**2 + 3 + 20*y. Let x be q(t). Solve 2*b + b - 16 = -2*k, x*b + 3*k - 21 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -5 (c) 0.5 (d) 33973\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -633, -519, -405, -291?\n\"Answer: 114*d - 747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - 35) + 88 + -15?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 1, 605?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4461 * -183.\nAnswer: -816363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2647 + 463 + 437)*(5 - 3 + 1)*(-1 - 2 + 4)*(-4*d + 2*d + 3*d) as m*d + u and give m.\nAnswer: 10641","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5400132 divided by -3\nAnswer: -1800044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2 = -2*o, 5*o - 2 = 3*s + 35. Solve 0 = o*p + 2 + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17249 is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3214 (base 6) to base 8\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 515390 and 721546.\nAnswer: 3607730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d + 13. Calculate m(-6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114289 is divided by 113983.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -18\/45001, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y**2 + 17*y + 9. Let p be m(-11). Let o = 1105 + p. Does 13 divide ((-2)\/(-3))\/(8\/o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3900 - 3905. Let o = -6 + 11. What is the third biggest value in 3, -0.4, o, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - i. Let m(l) = 8*l**2 - 33*l + 1. Give -m(j) - 6*s(j).\nAnswer: -2*j**2 + 39*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8640*q**6 - 67*q**3 - 281657*q**2 - 4*q + 9.\nAnswer: 1036800*q**3 - 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r + 2*r + 3*r)*(-2*r - 4*r + 0*r)*(-28 - 90*r**2 + 28)*(3 - 1 - 1)*(-1 + 0 + 0) as l*r**2 + u + t*r + y*r**4 + c*r**3 and give y.\nAnswer: -1620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 217*c**2 + 11315*c + 2 + 0 - 11308*c - 4 to the form x*c + s*c**2 + l and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2298378683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/9 + ((-100)\/(-315))\/(-5)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 31 = -3*t, 0*t + 34 = 3*t - q. Suppose -t*i - 2793000 = -4*i. Round i to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/((-5 - -4) + -1). Let u be p\/(-4) + 178\/(-8). Let w = u - -41. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a + 11*a - 4*g = 28, 0 = 6*a + 5*g + 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**2 - 45*j + 86 = 0. Calculate j.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -8. Let p = -2 + j. Let g be 0*(-3)\/(-7 + 10). Are g and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 (base 11) in base 16?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*o**2 + 91*o**2 + 107*o**2 - 308*o**2.\nAnswer: -22*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**6))\/b*b*b**(-10))\/((b\/(b**(-4\/11)\/b)*b)\/(b*b**(-9)*b)) assuming b is positive.\nAnswer: b**(-158\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -35010023545?\nAnswer: 35010023550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 t, and 1 k when four letters picked without replacement from knnkkktznktkkzzkt?\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1809\/108 + (2\/((-40)\/75) - -3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1001110010 (base 2) to base 10\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 4*j**3\/9 - 176*j**2\/9 - 236*j - 216 = 0.\nAnswer: -9, -1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54733067.\nAnswer: 103, 641, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347454 is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 9815*f - 9849*f + 2*f**2 + 1 + 4 - 6 as z*f**2 + m + l*f and give l.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0, 2, -22, -0.8, -0.77, -86?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/875 and -39\/431375?\nAnswer: 431375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1051*c - 2239*c + 1188*c + 811*c**2.\nAnswer: 811*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15543 to 3 decimal places.\nAnswer: 0.155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 6*j**3 - 3*j**2 + 4*j + 1. Let t(x) = x**3 - 20*x**2 + 16*x + 53. Let b be t(19). Let p(a) = a**3 + a. Calculate b*p(c) + q(c).\nAnswer: 2*c**3 - 3*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -40*r**3 - 2*r**2 + 2*r + 6. Let c be b(-3). Suppose 4*a - 1163 = 3*t + 961, 2*a - t - c = 0. Let w = 1580 + a. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, u: 4}. Give prob of sequence ppuu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of o**8\/672 + o**7\/210 - 9*o**6\/80 + 13*o**5\/30 - 7*o**4\/12 - 919*o**2. Factor b(y).\nAnswer: y*(y - 2)**2*(y - 1)*(y + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3977*o - 3532?\nAnswer: -3977","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 695081920 rounded to the nearest 10000?\nAnswer: 695080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - -23 - ((-69 - -3) + (47 - 59))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25895 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c + 2*c - 3 + c. Let z(p) = p - 1. Let k = -37 + 43. Calculate k*z(f) - 2*o(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 4*f = 12, -4*f + 746 = 5*o + 734 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 113. What are the prime factors of j?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17315 + 17351. Solve -219 - 69 = w*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -72\/11, -1159, -107 in decreasing order.\nAnswer: -4, -72\/11, -107, -1159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2b721b (base 13) to base 10\nAnswer: 1072498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 6615*a - 105836. Determine k(16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-4)\/10)\/((-8)\/360) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*c + 2)*(0*c**3 - 2*c**3 - c**3) - 4*c**4 + 5*c**4 - 3*c**4 + (c - 3*c - c)*(-2*c**2 + 2*c**3 + 2*c**2).\nAnswer: -14*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1129, -1703, -1743, -1255, -245?\n\"Answer: -n**3 + 273*n**2 - 1386*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/3 + 0 + -1. Let t = 3.38 + -3.18. Suppose -2*s + 5*q - 30 = 5, s - q = -10. Which is the closest to l? (a) t (b) s (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15088 divided by -8\nAnswer: 1886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20535 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33512 or -30909?\nAnswer: -30909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 12*x + 0 + 7*x**2 + 4 + 1. Let s be j(8). Calculate the greatest common factor of 333 and s.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j - 5*j + 8*j + 4*j.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 506 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 0*k**6 + 0*k**4 + 1\/168*k**8 + 0 + 0*k + 1\/60*k**5 - 2*k**2 + 0*k**7 + 0*k**3. Find the third derivative of a(v) wrt v.\nAnswer: 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 4:42 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 2*g + 7. Suppose -q - m = 4*q - 18, 4 = -2*m. Suppose q - 13 = -3*r. Calculate the least common multiple of 2 and a(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - ((5 - 6) + (18 + -2 - 5)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3686144 and 561.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 + 132 = 2*w. Suppose -3*t + 235 = 4*p, 3*p = -4*t - w + 302. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4 - 1484*p**3 + 347320*p**2 - 26136400*p.\nAnswer: 2*p*(p - 362)*(p - 190)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -902, 4 in descending order.\nAnswer: 4, 0, -3, -902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11801140.\nAnswer: 2, 5, 13, 45389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -106*f**2 + 300*f**2 - 111*f**2 - 99*f**2. Determine x(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*s = -3. Suppose 0*o - 4*g + 16 = 2*o, g - s = o. Solve -2*v = o - 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23240 and 5976.\nAnswer: 209160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12874 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -9*q - 5. Let a(c) = 4*c + 8. Let o(m) = 1. Let i(y) = -a(y) + 6*o(y). Let g = -2 + 5. Determine g*h(s) - 7*i(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2112775 divided by 5?\nAnswer: -422555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f - 18. Let l(w) = w**2 - 10*w - 15. Let x be l(12). Let g be a(x). Let k(z) = z**2 + 7*z + 3. What is the tens digit of k(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -259 + 287. What is the remainder when 307 is divided by j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**2 - 87*d - 45. Let z be l(-21). Calculate the highest common divisor of 135 and z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -181, -199, -261, -391, -613, -951?\n\"Answer: -4*u**3 + 2*u**2 + 4*u - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/7)*v*v*v**(2\/23)\/v*v)**(-27)*(v\/((v**0\/v)\/v))**(-19\/2)\/((v\/(v\/(v**(1\/3)*v)))\/v**1) assuming v is positive.\nAnswer: v**(-78559\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - z**2 + 4*z + 4. Let x be l(-3). Let r be 396 - (-2 + (2 - -4)). Let y be r\/20 - (-4)\/x. Solve -i + 0 = 2, 0 = 2*v - 5*i - y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5801, -11008, -25135, -52640, -97981, -165616, -260003, -385600?\nAnswer: -546865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 8 + 7. Suppose -5*t = -y*t - 6. Let 2*o**2 - 3*o**2 - 9*o + 4 + 5*o + o**t = 0. What is o?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 161 = -483. Calculate the remainder when 88 is divided by m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2880721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and 0.0305?\nAnswer: 0.9695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 438.08 * 0.0255\nAnswer: 11.17104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(684)*-1 + sqrt(684) + sqrt(684) + sqrt(684) + 0 + sqrt(684) + 2)**2 - (-2*(-2 + sqrt(684)) + 1).\nAnswer: 156*sqrt(19) + 6167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 9:20 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v + 1. Let m(l) = 2*l - 3. Let p be m(2). Let c(r) = 9*r + 3. Let u(a) = p*c(a) - 4*t(a). Let w be (-2)\/(-4)*-2 - -2. Determine u(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1213 = -3*i - 2*t - 1217, -2*i + 5*t = -29 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3515, 3527, 3539?\nAnswer: 3551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5 + 37 = 0. Let d = j + -20. What is the common denominator of (144\/(-44))\/1 + d and 17\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 1 = -33. Let n(s) = s**2 + 9*s + 10. Let i be n(m). Suppose -i*l + 3 + 1 = 0. Solve 5*j = -k - 8, 3*j - k = l*k + 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**5 + 44*s**4 + 116*s**3 - 140*s**2 - 600*s = 0. Calculate s.\nAnswer: -5, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 0.2 (c) 7\/4 (d) 0.4 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.2, -3\/4, 1.7, -1, -628, 0.04?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = -3*m - 2*t, 4*m + 125 - 17 = 2*t. Sort -2\/7, m, 0.\nAnswer: m, -2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h - 2*h**4 - 2*h + (-h - 2*h - 2*h)*(-4*h**3 - 8*h + 8*h) + 7 - h**4 - 7 to q + c*h**4 + m*h**2 + j*h**3 + l*h and give c.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 21cc2 - 2?\nAnswer: 21cc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -760*f**3 + 3*f**2 + 3785*f**3 - 3*f**2.\nAnswer: 3025*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 60\/(-8)*(-4)\/(-6). Let y(q) = 10*q**3 + 5*q**2 + 22*q. Let o(l) = l**3 + l**2. Let r(u) = a*o(u) + y(u). What is the second derivative of r(s) wrt s?\nAnswer: 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 118953 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -41 + z**2 + 25 + 23 - 6*z. Let q be d(5). Suppose 3*h - 3 = 3*p, -1 = -2*h - q*p + 1. Let u(s) = 5*s. Calculate u(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 2) + 2*3. Let p be ((-4)\/q)\/((-4)\/(-30)). Let c be (3 + 2)\/(0 - 1). Let x(r) = 8*r**2 - 6. Let t(z) = -7*z**2 + 5. Give c*x(a) + p*t(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (12 - 6 - (8 + -1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -m**3 + 267*m**2\/14 + 78*m\/7 + 137. Factor n(d).\nAnswer: -3*(d - 13)*(7*d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.96780014 to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 119 by 709763.\nAnswer: 119\/709763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4593 - 4593. Solve -4*t - 6 = -2*v - m, 5*t + v = 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 775543343843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1798 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1062\/(-135)*2)\/(-2*(-6)\/20). Is -25 at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*a + 24 = a, -5*j = 3*a - 69. Let r = 51 - 47. Differentiate 17 + r*n**4 - 22 + j*n**4 with respect to n.\nAnswer: 64*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 144 - 150 = 0. Suppose -4*l + 87 = -l. Calculate the remainder when l is divided by 6\/(-4)*224\/o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*x - 807939 = 382474 + 3742111. Round x to the nearest one thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1842299 is divided by 122818?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-94*102\/(-134232))\/(4\/(-56)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1808 and 5650?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*b + 9398 = 544*b - 11889 + 4391 for b.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 391699806 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7283, 14557, 21831, 29105, 36379, 43653?\nAnswer: 50927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5636 - 2394. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bzzzbbjszzsss. Give prob of picking 1 z, 1 s, and 1 j.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 equal to -133\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/5 - 25852*w\/5 - 619296\/5.\nAnswer: -2*(w + 24)*(w + 12902)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2198*c + 8573. Calculate q(-4).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6460 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 7:35 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 841.95285 rounded to one dp?\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 118.00000385 + -118. Round a to 7 dps.\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 + 29*n + 68. Is b(26) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 4*p - 295 + 273, 0 = 3*p + 6 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 188.3, 1, 0.02, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15887, -15893, -15909, -15941, -15995, -16077?\nAnswer: -16193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -172625*(4\/50)\/((-3)\/15) + -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1508984923 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -d**5\/60 - d**4\/4 + 7*d**2. Let v(c) = -c - 10. Let t(u) = -9. Let r(n) = -4*t(n) + 3*v(n). Let z be r(4). What is m(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10304*-5\nAnswer: 51520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 + 10210330331?\nAnswer: 10210331011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -40. Let a = d + 20. Suppose -i + a*u = 6*u - 2697, u + 1 = 0. Round i to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k + 24. Let q be p(-11). Solve -2*c + c + 4*y - 2 = 0, q*c + 4 = -3*y for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-336)\/(-88) - (-12)\/66. Solve -u - 2*u - 6 = n, -u + 11 = -y*n for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 1692 - 1757 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 361, 721, 1081, 1441?\n\"Answer: 360*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5544 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -1, 5, -6, -38795 in descending order.\nAnswer: 5, 0, -1, -4, -6, -38795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 - -9. Let k = l + 19.99. Let y = -0.029 - k. Round y to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24910 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.1 + 46.9. Let c = s - -94. Let z = 141.38 - c. Round z to 1 dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3))**(-1\/8)\/(u*u**8)**(-38\/5))**(-1\/7) assuming u is positive.\nAnswer: u**(-393\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1104 = -189*l + 187*l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of 1\/20*k**5 + 0 - 1\/12*k**4 + 0*k + 29*k**2 - k**3. Let d(s) = -s**2 + 1. What is -5*d(o) - j(o)?\nAnswer: 2*o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18*(-70)\/168*15\/(2025\/(-18)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -107 smaller than -3193\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 3*d**2 + 2*d + 2. Let f be y(-3). Let n = f - -1. Suppose v - 7 = 5*p, 2*p + 3*v = 3 + 1. Sort n, 3, p in increasing order.\nAnswer: n, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -119087 (base 14) in base 9?\nAnswer: -1115438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -1626273?\nAnswer: -1626277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19.8 + 1.2. Let i = -14 + k. Let h = 6.99999844 - i. Round h to seven dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)*2*6)**2.\nAnswer: 39600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10*(-15011)\/(-170)*(1 + 21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8144, 32243, 72410, 128645?\nAnswer: 200948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 5, -45, -115, -205, -315, -445?\nAnswer: -595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 102\/(7 - (-141)\/(-21)). Let n = o - 357. Solve n = 8*m - 10*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f. Let c(d) = -d - 1150. Let z(m) = c(m) - 4*r(m). Let a(b) = -6*b - 1150. Let n(l) = -6*a(l) + 7*z(l). Let o be n(0). Round o to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 261 + -261. Solve z = 3*s, 3*s + 11 = -4*v - 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1504033120 to the nearest 1000000.\nAnswer: -1504000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11670.\nAnswer: 2, 3, 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 5:29 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25744 is divided by 2523.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of m**4\/12 + 28*m**2 + 2*m. Let f(l) = -248*l**2. Give f(r(y)).\nAnswer: -992*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/250 and 9\/125.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199*z + 1227975 = 58452. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1206259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -902 or -903?\nAnswer: -903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -15 - 5\/9*b**3 + 0*b**2 + 20\/3*b. Factor c(a).\nAnswer: -5*(a - 2)*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*a = 54*a - 16*a - 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -95481*d**2 - 284280*d - 211600 = 0.\nAnswer: -460\/309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19050 + -3409948\/179. Suppose -2*s + 0*s = -2. Is s greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v - 4*v + 0*v**2 + v**2 + 4*v - 4. Calculate x(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.34 - 1.24. Put -5.1, -0.1, i in descending order.\nAnswer: i, -0.1, -5.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -1. Let n(p) = 2*p - p**2 + 7 + 2 - 3. Suppose -4*x = 5 - 9. Determine x*n(u) + 5*f(u).\nAnswer: -u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 990 = 16*q - 5*q. Suppose s + 3*p - q = -s, 4*s - 200 = 4*p. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41279143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.88 - 0.02. Let g = -10.8847 - k. Round g to three dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1170\/162 - 4\/18. Let a(x) = -16*x**3 + 7*x**2 - 7*x. Let h(n) = -n + 6*n**3 - 5*n**2 + 6*n - n**3 + 6*n**3. Give y*h(j) + 5*a(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*15)\/(1053\/(-1755)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -4*t + 15, 3 = t - 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -2*t + 70 - 72, 2*t + 2 = 2*o for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*t**2 - 9*t**3 + 28*t**3 - 12*t**3 wrt t.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3168\/(-27))\/16*((-12)\/8)\/1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y - 18. Determine d(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*(-1)\/(2 - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 168, 308, 448, 588, 728, 868?\n\"Answer: 140*c + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8803 (b) -5 (c) -0.3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -15*j**3 + 7*j**2 + 15*j - 7. Let c(v) = 2*v**3 - v**2 - 2*v + 1. Let b(m) = 20*c(m) + 4*t(m). Factor b(f).\nAnswer: -4*(f - 1)*(f + 1)*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4824259*c**3*n - c**2*n + 86*c*n + 2387 wrt c.\nAnswer: 28945554*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/252 and -85\/19894752.\nAnswer: 139263264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k + 2. Let x(p) = -5*p - 5. Let m(r) = 9*r + 9. Let i(q) = -6*m(q) - 11*x(q). Let o(b) = -2*i(b) + n(b). Let s(w) = -112*w. Determine s(o(z)).\nAnswer: -112*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*d - 186454 = -192313 for d.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*r**4 + 155*r**3 - 207*r**2 - r - 5343670.\nAnswer: 16*r**3 + 465*r**2 - 414*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1610 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10036 (base 8) in base 3?\nAnswer: -12122211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -12*y + 456. Let i = y + -45. Solve 0*w + 3*w = i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4425)\/(-495) + (-45)\/5.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b**3 - 22*b**2 - 27*b - 7. Let c be s(-4). Suppose 0 = -3*j + 2*w + 1 + 3, 0 = -5*w + 5. Solve j*y = -5*z + 2, 5*y = -4*z - 0*z + c for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 1. What is a in 2*a**2 + w*a + 3*a**2 - 5*a**3 - 101 + 116 = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*l**3*s**2 - 20*l**3*s + 18*l**3 - 23976*l**2*s**2 - 5*s**2 wrt l.\nAnswer: -42*s**2 - 120*s + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*v + 15*v - 10. Solve n = -3 - v for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202244 (base 5) in base 9?\nAnswer: 10014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 12 = 2*o, 5*o - 3*n + 86073 = 86064 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1140 divide 7376940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3394345, 6788689, 10183031, 13577371?\n\"Answer: -m**2 + 3394347*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 - 58408*x - 213218404.\nAnswer: -4*(x + 7301)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -249 in 5, 2\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sst when three letters picked without replacement from sstssttssstst?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l = 156 - 166 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3)*(i + 0*i - 2*i) - 7 + i + 7 + i - 1 + 1 + (3*i - 2*i + i)*(3 - 3 - 2) + 16*i + 4*i + 0*i.\nAnswer: 19*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -67*z**2 + 49 - 49 in the form q*z + c*z**2 + w and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v. Let j(c) = c. Give 8*j(z) + 3*s(z).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 84366 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-2)*(-1 - -277). Let j be h*314\/2 + 2. What is j rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 224 and 6412?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(-1\/8)*o*o**11*(o**5)**(15\/8) assuming o is positive.\nAnswer: o**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -2\/493?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -257, -334, -409, -482, -553, -622?\nAnswer: -689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*t - 176 = -4*l - 39*t, t - 220 = -5*l. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (43392\/18)\/((-2)\/46875). Round z to the nearest 1000000.\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, 0.22, -0.2, -27.71, 0.1 in increasing order.\nAnswer: -27.71, -0.2, 0.1, 2\/15, 0.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 192*r**3 + 98*r**2 - 15. Let t(v) = 191*v**3 + 98*v**2 - 12. Let q(d) = -4*g(d) + 5*t(d). What is the third derivative of q(j) wrt j?\nAnswer: 1122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 249687*c**2*r**3 - 117*c**2*r + 18*c**2 - c*r + 9*c - r wrt r.\nAnswer: 1498122*c**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3448, 3434, 3404, 3352, 3272, 3158, 3004?\nAnswer: 2804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 12:06 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4821, -4820, -4819, -4818?\nAnswer: -4817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -2\/9, 2\/5.\nAnswer: -37, -2\/9, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(810\/16)*-1*39*9\/468?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 9:03 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*m - 0*v + 19, 0 = m + v - 6. Solve m*l - 15 = 4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v - 225 = -5*v. Let p(x) = x**2 + 10*x + 29. What is the remainder when 119 is divided by p(v)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/7 or -29194?\nAnswer: -29194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/2 and -34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -87\/4 + 21*z + 3\/4*z**2.\nAnswer: 3*(z - 1)*(z + 29)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 49*h - 1. Let c be w(3). Suppose -3*p = -7*p + 16, 5*z + c = -p. Let i be 36\/z*200\/(-6). What is the highest common factor of i and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 759289944 to the nearest integer?\nAnswer: 27555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 13*f**2. Suppose 5*h + 29 = -4*z, 0 = 5*z + 4*h + 23 + 2. Give i(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*a - 1\/8*a**3 + 0 + 1\/2*a**2.\nAnswer: -a**2*(a - 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -y**5\/6 - 3*y**2 - 7*y. Let o(f) = 3*f**2. What is o(a(m))?\nAnswer: 300*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000000101110101110001 + 100?\nAnswer: -1000000101110101101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 484981?\nAnswer: 7, 79, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 45260 to the power of 1\/2, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44\/13 - 241\/52. Let s = 4.1 + -3.1. What is the nearest to s in -16, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.102 and 1.\nAnswer: 0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 23. What are the prime factors of -1 + 0 - m - -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 747206229 to the nearest integer?\nAnswer: 27335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lloheocoyooloee. What is prob of picking 2 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 1\/(2\/22). Suppose -v*x + 4*x = -12. Suppose 4*w - 40 = 2*w + 2*b, x*w - 56 = 5*b. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -7*t**2 - 10*t - 52. Let a(j) = j**2. Calculate d(a(o)).\nAnswer: -7*o**4 - 10*o**2 - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12 - 7*o**4 - 12 + (-4*o**3 - 7*o**3 - 8*o**3)*(0*o - o + 2*o).\nAnswer: -26*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 37 = -5*w, 2*w - 9*o = 57 - 111. What is the closest to -0.1 in -2, 15, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 555 and -0.6?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 19 = 2*d + 5*k, 2*d = -4*k - 4. Let g = d - -2. Calculate the remainder when 10 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g + 264 = 18*g. Calculate the lowest common multiple of g and (-6)\/2 + (-624)\/(-13).\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**3\/f)*f**(-9))\/(f\/f**(8\/3)*f**(1\/4))*(f\/(f*f\/f**(-2\/9))*f*f\/(((f*f\/(f**(-6)\/f))\/f)\/f))\/(f**(-6\/11)*f\/(f*f*f**7*f)*f) assuming f is positive.\nAnswer: f**(-2479\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 33394250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 0, -16, -58, -138, -268, -460?\n\"Answer: -2*w**3 - w**2 + w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f*f*f**(-2\/33)*f)))\/f)\/f**8*(f\/(f**10\/f*f)*f)\/(f*f*f\/(((f\/(f\/f**(-4)))\/f)\/f)) assuming f is positive.\nAnswer: f**(-761\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -331617, 1\/5, -0.5 in increasing order.\nAnswer: -331617, -0.5, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22519050?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**5*j**(-26)\/j assuming j is positive.\nAnswer: j**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (1 + -6*(sqrt(567)*-2 + -3))**2 + 0)*-6.\nAnswer: -492072 - 24624*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t**28\/t)*t*t*t**(25\/3)\/t assuming t is positive.\nAnswer: t**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/((-468)\/13))\/((-1)\/(-6))*-12.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.237 + 0.137. Which is the third smallest value? (a) 0.4 (b) v (c) 5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/7*84*(-17)\/612?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-12))\/o)\/o**(8\/7) assuming o is positive.\nAnswer: o**(76\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 258230563?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2991*o + 296. Is v(-33) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-351 + 353)\/(1 - -1). What is the closest to x in -4, 20, -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -5 - -3) + (-1 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(612)*3.\nAnswer: 1 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -5*s + 12*a + 2, -3*a + 4*a = -70*s + 74*s - 4*a + 4 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 1)*(1 + 7 - 4)*((-g + g + 2*g**2)*(-3*g**2 + 0*g**2 + 4*g**2) - 3*g**4 - 3*g**4 + 5*g**4) as v*g**4 + h*g**2 + k*g**3 + n*g + y and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(6\/7)*g**1*(g*g\/g**(-9\/7)*g*g)\/g*g\/(g**(-8)*g))**(-35) assuming g is positive.\nAnswer: g**(-470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o**2 - 1. Let l be y(-1). Suppose k + 0 = -t + 3, 2*k + l*t = 4. Suppose -k*p + 597 + 119 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000722 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 413560 and 680?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-22)\/4 + 0)\/(1\/(-12)). Calculate the highest common divisor of 88 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j + 27 = 18*j. Let l = 0.03 - -0.37. Which is the smallest value? (a) j (b) l (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i + 28. Let n be -3 - (65\/(-7) - 8\/(-28)). Suppose 0 = 2*d + 4*o, 0 = 4*d + 3*o + 2*o + n. Does 9 divide p(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1046398842.\nAnswer: 2, 3, 58133269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.604186 litres in millilitres?\nAnswer: 4604.186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 2*r + 10. Suppose -17 = -i + b + b, -3*b = -r*i + 106. Let y(g) = -g**2 + 6*g - 1. Calculate the remainder when i is divided by y(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1689 + -507. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/92)\/(((-1495)\/(-52))\/23)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x. Let i = 16 - 11. Let s(r) = -i*r + r + 2*r**2 + 4*r. What is d(s(n))?\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 2*t. Calculate the remainder when 11 is divided by w(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - (-39)\/15)\/(14\/(-10)). Which is the nearest to m? (a) 0 (b) -0.3 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 8*u**2 + 9*u - 7. Let s(a) be the second derivative of -23*a**4\/12 - 14*a**3\/3 + 11*a**2 - a. Let h(o) = 7*l(o) + 2*s(o). Is h(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 10*t**3 + 2*t**2 - 10*t + 56. List the prime factors of n(7).\nAnswer: 2, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -53 and -62.2.\nAnswer: 3296.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 10:13 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 s when two letters picked without replacement from xqgqosj?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4*(sqrt(1700) + (sqrt(1700)*-2)**2*2) + 0)*-1 + 3.\nAnswer: -54397 - 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 9*w**2 + w + 3. What are the prime factors of y(9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3 - 3*w**2 - 14*w + 5*w**3 - 3*w**3 + 15*w. Let g(x) = -x - 4. Let o be g(-7). What are the prime factors of v(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*p - 813 = 0, -5*a + 2065 = -12*p + 13*p. Let o = a - 395. Is 29 at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 116\/12*(1 - -5). Let f be 3\/(g - -2)*-2. Let d = -229.8 - -230. Put f, d, -4 in increasing order.\nAnswer: -4, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7613 or -1534?\nAnswer: 7613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/2)*(l\/(l*l**(19\/2)))\/l assuming l is positive.\nAnswer: l**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 6, o: 4}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 17699.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 8*j**2 + 3*j + 25. Is 32 a factor of g(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 + z**2 - 2*z**2)*(3*z - 2*z - 3*z + (3 + 2*z - 3)*(6 - 2 - 2)) + 3*z**3 - 4*z**2 + 4*z**2.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -233 - 10032210?\nAnswer: -10033103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3394 divided by -51147.\nAnswer: -3394\/51147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 2 + 0)*(-4 + 7 + 11 + (-1 + 1 + 2)*(0 + 0 + 2) - 1 - 1 + 1 - 2 - 4 + 4)*(892 - 7*w - 892) to t + n*w and give n.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91 and 634192.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 926.0467 kilograms?\nAnswer: 926046.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99991070 is divided by 24997762.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/(-40))\/((-24)\/20 + 1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7437843716?\nAnswer: 2, 571, 3256499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 11*o**7\/840 + 5*o**4\/8 - o**3\/3 - 16. Let u(m) be the third derivative of g(m). Differentiate u(k) with respect to k.\nAnswer: 33*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8678 = -z + 7745. Which is greater: -934 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2145740 divided by 429148?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of 181*a**5\/10 + 167*a**4\/6 + 3*a**2\/2 - 1160*a - 2. Find the third derivative of n(d) wrt d.\nAnswer: 2172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88 - 56. Suppose 2 = -o - o. Let q(m) = -49*m - 1. Let c be q(o). What is the greatest common factor of c and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0 (b) -0.217 (c) 0.5 (d) -3 (e) 1\/76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.16 + 2. Let o = h + -0.04. Let v = -1 - 4. What is the third biggest value in 0.2, v, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -0*x + 5*p + 176, -p = -4. Let y = 61 - x. Let z(c) = -c**3 - 100*c**2 + 4*c - 3 - y*c + 109*c**2. What is z(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 168.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 510609220 and 12.\nAnswer: 1531827660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-276)\/23 - (-16 + -40 - (-12)\/(-3)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 3*a + s - 27, -a - 1 = -s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*(c*c\/(c\/(c*c\/(c*c**(1\/9)))))\/c)**9 assuming c is positive.\nAnswer: c**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 126*w - 152*w + 298*w - 6.\nAnswer: 20*w - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 14 = -2*i + 3, -3*i - 29 = -4*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1269 and 15.\nAnswer: 6345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4464052 divided by 764.\nAnswer: 5843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b + 2. Determine s(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -425.000181 - -425. Round d to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -h**6\/120 - 3*h**5\/20 - 11*h**4\/24 + 13*h**3\/6 - 5*h**2 - 693*h. Give y(-8).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8 + (14\/(-2) - 21916\/(6 - 10)). What is the highest common factor of 200 and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*5\/10*(2 + -4). Suppose z*l - 25 = -5*a, 4*a - 6 = -l + 3*a. Suppose s - 144 = -l*s. Calculate the remainder when 46 is divided by s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 548501?\nAnswer: 548501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 243*g**2 + 83*g + 5. Let r(z) = -z**2 - z + 1. Let u(a) = 5*r(a) - x(a). Find the second derivative of u(m) wrt m.\nAnswer: -496","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -683 + 736.9. Let z = 54 - t. What is the second biggest value in 0.03, -1, 1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -79, -16140, 0.2 in descending order.\nAnswer: 0.2, -79, -16140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1aa + -3?\nAnswer: 1a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 172 in decreasing order.\nAnswer: 172, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21931 is divided by 2399.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 24342268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 94638215 and 35?\nAnswer: 94638215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, 1\/6, -176, 2\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 8*u + 2. Let l = 7 + -4. Let r be 154\/(-28)*(1 - l). What is the tens digit of g(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 15 = -3*r, -r - 10 = r - 4*k. Let y = 13 - r. What is the remainder when (-1 + 2 - 2)*-35 is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**2 - 1. Calculate i(-3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1763 less than 51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d - 28 = -397. Suppose 9 = -2*a + d. Solve -14*r + a = -18*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccu when three letters picked without replacement from zccucuc?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 396*g - 2 + 399*g - 645*g**3.\nAnswer: -645*g**3 + 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -668800, -668799, -668798, -668797, -668796, -668795?\nAnswer: -668794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 110 - r + 6*r - r - 109. Let s be q(4). Suppose 0 = -5*j + 5*y + 45, 0*j - s = -j + 3*y. Solve -4 - j = -3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 1281463*p. Let y(u) = -5*u**2. What is k(y(n))?\nAnswer: -6407315*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2300441.\nAnswer: 11, 13, 16087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7437041 is divided by 200.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4228 + -4177. Solve -m*a = -37*a + 14 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/(-9))\/(-4))\/((-2075)\/17430)?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2. Let j(w) = 2 - 32*w**2 + 27*w**2 - 2. Calculate o(j(f)).\nAnswer: 50*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - (9 - 8)) + 641. Is 646 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -57, -1\/4, -4, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.11 and -215.\nAnswer: -883.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 4*t**4 - 27900*t**3 - 643440*t**2 - 2630960*t - 2015424 = 0.\nAnswer: -18, -4, -1, 6998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -76, -106, -130?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3899*j**2 - 35*j - 139. List the prime factors of k(-3).\nAnswer: 11, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.243 to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.59 times 0.1\nAnswer: -0.059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 - 6*f - 2. Let z be (7\/(56\/264))\/(4 + -1). Let o(g) = 2*g - 4 + 4*g**2 - 11*g - 2*g. Let y(x) = z*c(x) - 6*o(x). Factor y(d).\nAnswer: -2*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 + -8*4\/4. Let h = -1\/421 + -5045\/2947. Is f greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.013 + -0.056. Let i = u + -0.079. Round i to 2 decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8036)\/21*(-42)\/49. Let c = -322 + z. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 k, and 1 d when three letters picked without replacement from {k: 5, h: 1, m: 3, y: 2, d: 1, b: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x + 1. Let i be c(1). Suppose 15 = -i*p + 5*p. Suppose b - 230 = p*u - 10*u, u - 2*b - 35 = 0. What is the highest common divisor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*k + 66 = -0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((64\/256)\/(25\/60))\/(66\/20).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -84386 times 45.99\nAnswer: -3880912.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-54)\/20 - -2)\/((-44)\/(-5)) and 85\/24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5006\/3 - -1668. Let g be -11*(-1)\/9 - 1. Let s be -1*3\/14 - 2\/(-4). What is the nearest to 0 in s, v, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348157.\nAnswer: 53, 6569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3574*s - 15915*s + 4331*s.\nAnswer: -8010*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k**2. Let b(n) be the second derivative of 7*n**3\/3 - 11*n**2\/2 + 2884*n. Determine w(b(o)).\nAnswer: 588*o**2 - 924*o + 363","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**3 - 2*i**2 + i. Let u be d(1). Let x be (u - -1)*8\/(-6). Suppose p + 1 = 3*o, x*p - p = -4*o + 10. Is 2 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 550989?\nAnswer: 3, 20407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 15. Solve -u*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -408 (base 12) in base 4?\nAnswer: -21020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 + 4*m**2 + 19*m + 22*m.\nAnswer: 7*m**2 + 41*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 6\/17 (c) 0.5 (d) 3\/10972 (e) 3 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u = 14*u - 18. Calculate the remainder when u is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -20. Calculate the least common multiple of 5 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**4\/8 - 31347*c**3\/2 + 2317503*c**2\/4 + 2536947*c\/2 - 14657409\/8 = 0.\nAnswer: -3, 1, 39, 41759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u**2 + 12*u**2 - 16*u**3.\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 1\/60*p**5 - 6*p - 1\/72*p**4 - 1\/180*p**6 + 0*p**2 + 0 + 0*p**3. Factor y(g).\nAnswer: -g**2*(g - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 276 and 460.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151603980?\nAnswer: 2, 3, 5, 11, 229703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -10 - 2. Suppose -d*b = 2*b - 228. Let t = b - 33. Which is greater: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2055335 to the power of 1\/2, to the nearest integer?\nAnswer: 1434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -125 divided by -1156\nAnswer: 125\/1156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/255*17)\/((-4)\/320).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 6 + -3 - 6 - 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 86337001 to the power of 1\/2, to the nearest integer?\nAnswer: 9292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2.2 (b) 1\/2 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -4 (b) 374 (c) -2 (d) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 149, 252, 357, 464?\nAnswer: 573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -876683*p*r**3 - 2*p*r**2 - 31*p*r - 429541*p - 104*r**3 wrt r.\nAnswer: -5260098*p*r - 4*p - 624*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*u = 17, -4*g - 5*u + 35 = g. Suppose 26 = g*d + 4. Suppose -3*b = 4*z - 0*b - 198, d*z - 4*b - 88 = 0. Is 16 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9052 + 8386 + 5*r**2 + 2*r**2 - 7*r**2 + r**2.\nAnswer: r**2 - 666","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + -1)*((-122)\/(-8) - 8531\/(-1796))?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2542651 (base 12) to base 11\nAnswer: -4139213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 72 divided by 1810081\nAnswer: 72\/1810081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/7 + 1976432*h\/7.\nAnswer: 2*h*(h + 988216)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 5. Let i = 6 + j. Suppose 0 = i*y - y. Let t(n) = n**2 + n - 2. Calculate t(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + ((-354)\/(-4) - (-9)\/18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -333, 4 in increasing order.\nAnswer: -333, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 + 2095*a - 4*a**2 - 528 + 6*a**2 - 452 - 2087*a.\nAnswer: -a**2 + 8*a - 980","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 17 - 7 = 0. Let d be (-4)\/8*(-40)\/v*1. Solve -1 = -m - 3*a, -d + 3 = -2*a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z*z**(-1\/2)))**(-25)\/(z*z**0)**49*z**6\/z*(z*z*z**0)\/z*z\/(z\/z**(-2\/13)*z)*z**(-1\/5) assuming z is positive.\nAnswer: z**(-10641\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/14 and -71\/41783040.\nAnswer: 292481280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -r**4\/4 + 7*r**3\/3 - 5*r**2 + 3*r - 7766. Determine z(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 1 - 1)*(5*c + 0*c - 2*c) + 0 + 2*c**2 + 0 - 3*c - 2*c**2 + 3*c + (0 - c + 0)*(-2*c + 3*c + 0*c).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 4*q**2 + 4*q + 2. Let b(y) = 6*y**3 + 21*y**2 + 21*y + 10. Let c(r) = 2*b(r) - 11*h(r). Does 27 divide c(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times -0.5\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1775 + -5273\/3. Let j = v + -50\/3. Which is the nearest to 1? (a) 3\/5 (b) -1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (((-2*sqrt(216))\/sqrt(6))\/sqrt(12) - (-4*sqrt(9)\/sqrt(3) + 3)))**2.\nAnswer: 4*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(2835) - (sqrt(2835)*1 + sqrt(2835) - sqrt(2835))*1))\/((sqrt(693)*2*-3)\/sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -0*b - b + 4*h, 3*h = 3*b - 99. What is the tens digit of (679\/b)\/((-1)\/(-5))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 542527291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(612) + (sqrt(612) - sqrt(612)*-1)**2.\nAnswer: 6*sqrt(17) + 2452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 + 5*b**3 + 3*b**3.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2 + w + 2. Let t(y) = 16*y**2 + y. Let a(o) = 84*o**2 + 3*o. Let r(i) = -a(i) + 3*t(i). Determine r(z(s)).\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 140433 (base 5) in base 15?\nAnswer: 1a7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3006382716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5*m + 103, 2*z + 29 = -4*m - 59. Let o be (m\/14)\/(1\/28). Does 19 divide (-4 - o)*1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 - 2*y - 1 + 2*y + 1 + (-4*y - 2*y + 4*y)*(-3 + 1 + 0) - 4*y + 0*y + 5*y + y + 1116 + 1428 + 14169 in the form s + q*y and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 7*w**2 - 4*w + 1. Let m(t) = 20*t**2 - 11*t + 3. Suppose u + 5*b + 32 = 0, 0*u + 5*u - b + 82 = 0. Calculate u*z(p) + 6*m(p).\nAnswer: p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 5:03 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -400 - -403. Let q(t) = t + 1. Let b be q(1). Let w = 5 - b. Solve 3*j - o*x - 4 = -19, 9 = -5*j - w*x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50.87 + -5.53. Let o = 46 - y. What is o rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -13?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 66588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 857.2897 < -1.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a hour in minutes?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + r = -4. Let c(p) be the second derivative of -p**3 + 1\/2*p**r + p + 0 - 1\/20*p**5 + 7\/2*p**2. Determine c(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 4*u**2 - 2*u - 3. What is z(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3939010 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*g**5\/13 + 24*g**4\/13 + 14*g**3\/13.\nAnswer: 2*g**3*(g + 1)*(5*g + 7)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12551.\nAnswer: 7, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -854 - -1592. What are the prime factors of a\/4*4\/6?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 2. Let s(m) be the second derivative of m**4\/12 - m**3\/3 - 2*m**2 - 3*m. Let x be s(4). Solve 0 = i + 2*p - o + 2, x*i - 20 = -p for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 944369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-443)\/(-2) + (-9)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m - 19. Determine r(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nd when two letters picked without replacement from {c: 2, f: 1, d: 1, h: 3, n: 3}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 - (-4)\/(-4)*0 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.081 * 8\nAnswer: -0.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -341 * 25221.\nAnswer: -8600361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7\/271756 - 198376287\/217133044. Let c = -7\/47 - z. Is c at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 355262 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/20*(-4800)\/540?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 6:37 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 5*d = -15, 29 = -2*t - 2*d + 19 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 35 + 43\/516*132\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2*42\/(-28).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 40811, -68, -11?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of k**4\/12 - k**3\/6 - k**2\/2 + 3*k. Let h = 31 + -33. Let j be (-3)\/((-9)\/h*(-1)\/(-3)). Determine x(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 + 0 - 2 - (18 + -6)) + 12.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29937 + -21271. Suppose -3*t = -6*t + 15. Suppose z - y = -5*k, 6930 = 4*k + t*z - 7*z. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*f + 80*f + 74*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**5\/7 + 318*d**4\/7 + 13004*d**3\/7 + 46542*d**2\/7 - 13003*d\/7 - 46860\/7 = 0. What is d?\nAnswer: -33, -4, -1, 1, 355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -141396156 and -0.5.\nAnswer: -141396156.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-8)\/(-12)*37\/4 and -4\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8623 by -1.\nAnswer: 8623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 9. Suppose 12 = 4*h - f. Suppose 0 = -b - h + 16. Calculate the greatest common factor of 96 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -7*w**5\/30 + 43*w**3\/3 + 11. Let y(p) be the third derivative of x(p). Let n(t) = t**2. Calculate n(y(f)).\nAnswer: 784*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 3:44 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 453 at least 452?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64 + 31. Let z = f + 31. Put z, 1, -0.6 in increasing order.\nAnswer: z, -0.6, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**2 - 10*r**2 - 5 - 11*r**2 - 2 in the form s*r + m*r**2 + b and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -875700 by -218925.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3515, -16, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {j: 4, q: 7, e: 6, x: 1}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*d**3 + 122*d - 122*d.\nAnswer: -30*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1192825 + -4?\nAnswer: -1192829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-2)*(-4)\/3. Let a be (1\/(4 - 5))\/(5*4\/(-20)). Let y be (-9)\/(-12) + 34\/8. Solve -5*r + a = y*t - 4, 3*r - 6 = -w*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + u)*(-3 + 1 + 1)*(35*u + 4*u + 7*u) to the form a*u + h + r*u**2 and give r.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 67 in -0.1083, -0.03, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/7))**9*(i*i**(-3)*i*i)\/(i\/(i\/(i\/((i**(-12)*i)\/i)*i))) assuming i is positive.\nAnswer: i**(-116\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.25907 rounded to 1 dp?\nAnswer: -18.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/1278 and -61\/18.\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 194 (b) -0.1 (c) 0.0632\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 9 = -0*n - n, -c - 29 = -5*n. Suppose -28 = 2*m - n*m. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-15) + 4218\/(-740). Let t = 6 + -5.7. Let z = 0.7 + t. Which is smaller: z or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61429 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -0.29 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-30) + 32\/(-10). Let w = -421.91 + 422. Which is the closest to 0.2? (a) h (b) 0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19784 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + -31 - -1) + -1 + 39?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 28*m**2 + 229*m + 44. Let l be c(-8). Solve -5*q + 5*g - 35 = 0, -l*g + 4 = -5*q - 29 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.4179 + -0.4179. Let p = 0.06 + 0. Put -1\/3, -5, p, n in increasing order.\nAnswer: -5, -1\/3, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m**2 - 17937*m\/4 + 6723\/4 = 0 for m.\nAnswer: 3\/8, 747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.9163116 less than 27026?\nAnswer: 27035.9163116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100010100000101101 - 1000110?\nAnswer: -1100010100001110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37 in -0.3, -0.1, -0.9, -1\/2, -0.12, 0.5?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1054930654 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*o - 5*a + 24, 0 = -o - 4*a + 19. Let z = o - -5. Suppose -56 = -z*w + 2*w - g, -w + 35 = -3*g. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30088 in -4, 2\/5, -0.5, -0.9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -150*i + 1051 - 2701 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/90 + ((-207)\/414)\/(5\/2)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1336 divided by -2.\nAnswer: -668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -3*m**4 - 114*m**3 - 471*m**2 + 828*m + 1188 = 0.\nAnswer: -33, -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1351632 is divided by 37?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4465 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58246 and 2430.\nAnswer: 70768890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, c: 6}. Give prob of sequence rrc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*m**6 + 6*m**2 - m**2 + m**2 + 15*m**6 wrt m?\nAnswer: 4080*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-245))\/(((-120)\/75)\/4)\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 - 2)*(838*f - 574013 + 574013) to the form s + n*f and give n.\nAnswer: -838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.104505136 + 0.1045. Round u to 7 dps.\nAnswer: -0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -6, -3\/2, 0 in ascending order.\nAnswer: -6, -3\/2, -1\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 88516 = -12804. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 388\/(-6) + (147 - 68068\/462).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.0981 (b) -5\/4 (c) 0.802 (d) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**3 - 5*a**2 - a + 4. Let n(z) = 2*z**3 + 4*z**2 + 2*z - 4. Let m = 20 - 11. Let g = -5 + m. Let l(y) = g*v(y) + 5*n(y). Solve l(o) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4539, -9075, -13611, -18147, -22683, -27219?\nAnswer: -31755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -61.\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 6*s - 60. Is -2 at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g**3 + 149*g**2 + 12*g. Let b(j) = -31*j**3 + 1488*j**2 + 120*j. What is -2*b(o) + 21*n(o)?\nAnswer: -o**3 + 153*o**2 + 12*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9016, -18026, -27036?\n\"Answer: -9010*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/227292 and -34\/23829.\nAnswer: 2954796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-3)*30\/300?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n. Let g(y) = y**2 + 9*y - 5. Let u(o) = g(o) - 4*q(o). What is the units digit of u(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 x when two letters picked without replacement from {h: 4, x: 2, s: 5}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 e when two letters picked without replacement from {e: 9, n: 1, k: 6, i: 3}?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.3 (b) 8 (c) -8 (d) -2\/5 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 649175\/(-2) + (-3)\/2. Let x = -216589 - c. What is x rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**2\/5 + 31688*k\/5 - 125516168\/5 = 0 for k.\nAnswer: 7922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74093996 by -20743.\nAnswer: -3572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 13671*f + 3281. Is l(20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1679 or -1680?\nAnswer: -1679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1161.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 2:20 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 91905.\nAnswer: 551430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73 and 12237209.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12157746 - 57?\nAnswer: -12160025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 5789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23723 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: b\"What is the fth term of 978, 1444, 1890, 2316?\n\"Answer: -10*f**2 + 496*f + 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/91 and -101\/4862?\nAnswer: 34034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1800)\/(-20))\/30)\/((-12)\/(-15))?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 140 - 310. Let j = -142 - y. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2202306 and -0.4?\nAnswer: -880922.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 4 = 0, 5*a - 5 = -5*c - 10 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**2\/4 + 13*b\/2 - 105\/4 = 0. What is b?\nAnswer: 5, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a4 + -5?\nAnswer: 19d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 3750.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of 9*a**5\/4 + 25*a**4\/3 - 170*a**3\/3 - 40*a**2 + 23*a. Solve n(l) = 0 for l.\nAnswer: -4, -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2681 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -488642 by -34903.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*o = 1, -3*o = 4*u - 0*o - 7. Let h be 1 - (-1 + (-2 - 0)). Factor 19*s**3 + 18*s - 5*s**4 + 33*s**2 - 7*s**3 + 3*s**u - s**h.\nAnswer: -3*s*(s - 6)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + -10 + 9 - 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 502664165 divided by -3373585.\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -57*z + 3198. Calculate w(30).\nAnswer: 1488","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j - 11. Let b(q) = q - 1. Let o(v) = -2*b(v) - x(v). Let n be o(12). Let z = 45 - n. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 12:13 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1.2. Which is the closest to z? (a) -1\/3 (b) 5\/4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1332 is divided by 663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.3178 and 660 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63 + 127. Let z = x - 58. Suppose 4*n - z*n = -72. Calculate the greatest common factor of 27 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6008073\/725 + 8287. Which is greater: 3 or u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -101211 - -3?\nAnswer: -101203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6466, -12924, -19380, -25834, -32286, -38736?\n\"Answer: k**2 - 6461*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/3 + (2 - 1). What is the tens digit of 1\/t - (7 + -21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/27 - 41\/189. Let x = 6566 + -6565. Suppose -2*l + 1 = d, 0 = -d - 0*d - 3*l + 2. Put p, d, x in descending order.\nAnswer: x, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + (sqrt(18) - ((1*sqrt(180) + sqrt(180))\/sqrt(10) + sqrt(18))))\/(sqrt(9) - sqrt(54)\/(2*sqrt(6))).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + t + 60. Determine x(0).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -7.3. Let s = -3283 + 3284. Which is the closest to k? (a) s (b) 0.5 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**3\/2 - 1213*m**2\/2 - 8*m + 9704 = 0?\nAnswer: -4, 4, 1213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 2120\/50 + -4 + 4\/40*-4. What is the greatest common divisor of 266 and o?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b717 + 5?\nAnswer: 1b720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -15*m - 3. Let s be g(-1). Solve -5*y + 7 - 2 = -3*t, 4*t = 4*y - s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4644059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lhlwlwmcwcl. What is prob of picking 1 c, 1 m, 1 l, and 1 h?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.301 times -2.91697?\nAnswer: 0.87800797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 401, 757, 1113?\nAnswer: 1469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 - (0 + -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/8 and -95\/3674?\nAnswer: 14696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165050 is divided by 23560.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 1:43 AM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -352 and -0.06?\nAnswer: 351.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.37 + -0.57. Let s = 5.8 + -0.8. Let y = 0.1 + -0.1. What is the smallest value in t, y, s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 13268\/52 - 22\/143. Calculate the greatest common factor of 105 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5\/(-15)*-33194 - (3 + 42\/(-18))?\nAnswer: 2, 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v + 6. Let z(g) = -5*g + 17. Let l(u) = 17*q(u) - 6*z(u). Let c(d) = -3*d. Let j be c(-1). Let s(o) = 0*o - o - o - j*o + 0*o. Give l(s(f)).\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -70, -3, -1 in increasing order.\nAnswer: -70, -30, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(396) - 4*sqrt(396))**2 + -5)*-3.\nAnswer: -32031","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 12*o**2 + 2. Let w be j(-12). List the prime factors of (w + -14)\/(1\/(-4)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 4. Suppose 5*g + 44 = -6. Let k be g\/50 - 12\/(-10). Let t = k - -4. Determine a(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2608*b - 586*b + 251550 = -1058*b - 2770*b for b.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 10429.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a + 3*a + a + 11. Let s be i(-9). Let l be (-1 + -2)*(-4 + 3). Solve -3*v + l*b = 18, -b = -3*v + 3*b - s for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, -1, -48, -4 in descending order.\nAnswer: -1, -4, -48, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -9*c**2 - 9*c + 13. Suppose 0*a - 2*a - 4 = 5*p, -p = a - 1. Let d be a\/24 + 721\/56. Let l(f) = -4*f**2 - 4*f + 6. What is d*l(s) - 6*z(s)?\nAnswer: 2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*k**3*l*m + 347*k**3*m + 712*k**2*l - 7*k*l*m + 11702*k*l + 2*k*m - 16*l*m + l + 2 wrt k.\nAnswer: -42*k*l*m + 2082*k*m + 1424*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -89.1 * -166.\nAnswer: 14790.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - 22\/(-8))*(-8)\/2. Suppose 3 = 2*h - 3, -m*h = 2*a - 2600015. Round a to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - 14*-2*4\/40. Which is the closest to -2? (a) -1\/4 (b) o (c) 5\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 990 and 195216030?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 - 9*g**2 - g**3 + 8*g**2.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2913)\/9)\/((-7)\/21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1967 > 2191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 6, 20, 40, 66, 98, 136?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -930 + 930 - 100*d - 98*d in the form m*d + f and give m.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 540, 1286, 2032, 2778?\n\"Answer: 746*q - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 7 + 16*r + 188*r**2 + 8*r - 2*r - 5*r. Let q be m(13). What is q rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 18 = 4*y, -5*y + 38 = -i + 11 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 4*p**2 + 2*p + 7. Let j be k(-3). Let i(v) = v**2 + 8*v + 6. Let s be i(j). Let x(m) = 6*m**2 - 3*m + 4. Is x(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/6)\/((-17)\/(-102)). Suppose -4*x + 362 = 50. Calculate the remainder when x is divided by -69 + 108 - 1\/(1\/a).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**8\/40320 + g**7\/3360 + g**6\/720 + 11*g**5\/10 - 95*g**2 - 2*g. Let s(n) be the third derivative of b(n). Factor s(y).\nAnswer: (y + 1)*(y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128, 267, 406?\nAnswer: 545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**4\/2 - 5*k**3\/6 + 5*k**2\/2 + 3*k. Let y(h) = h**2 + h - 1. Determine 3*r(s) + 15*y(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3746 = 36*w + 2885 - 5371 for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5 - 10*18\/(-6)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 9 + 7 = -4*x, -2*x = 5*m + 20. What is the smallest common multiple of 16 and (-1 - 1)*(m + -9 + -3)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 970566, 1941176, 2911784, 3882390, 4852994?\nAnswer: 5823596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 378\/12 - 1\/2. Suppose 2*w = 6, -5*p + 0*p = -3*w - k. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and -6747701124147.\nAnswer: -6747701124147.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 2*r = -3000. What is r rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 2\/5, -4\/5, 3, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 596 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 80651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 42 = 3*d + 2*a, -3*d = 3*a - 72. Let r = -3 + d. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -294.1 + 5.\nAnswer: -289.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35821 is divided by 144.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x + 2. Let y be g(5). Suppose -4*m + 2*m = 4*c + 18, 5*m - c + 12 = 0. Let d be m\/(-1) - (5 - y). What is the highest common factor of d and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (31 - (7 + -4))) + (113 - 109).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2233346640 rounded to the nearest 100000?\nAnswer: -2233300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -5*y**2 - 20*y - 79. Give m(-5).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {i: 15, b: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 15 = -63. Let b be ((-1)\/3)\/((-2)\/(-30)). Let y = k + b. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (560\/50)\/(-4) + -3*16\/(-60)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 l when two letters picked without replacement from {p: 2, l: 1, m: 2, k: 1, y: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 34*z**2 - 40 - 9*z**2 - 29*z + 8*z**2 - 11*z. Let r(h) = -h**2 + h + 1. Determine 160*r(j) + 4*y(j).\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + p + 5. Let x be l(0). Let t = x - 2. Suppose 5*k = k, 3*k = -t*a + 3. Calculate the remainder when 2 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6 = 3*t, t = -0*v - 3*v + 8. Suppose -1 - 3 = 2*b, -v*n - 4*b + 31 = 0. Calculate the remainder when 51 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/25 and 131\/90?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) 2.7 (c) -228 (d) 4 (e) 3 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 96245, 192611, 288977?\n\"Answer: 96366*n - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o**2 - 5*o + 22. Suppose 0 = -597*h + 555*h + 378. What is the lowest common multiple of s(6) and h?\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -1. Let h(l) = -8*l + 12. Let v(b) = -h(b) - 12*i(b). Let m(g) = -2*g**2. What is m(v(c))?\nAnswer: -128*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13 - 4*m + 0*m + 4*m - 13*m**4 wrt m?\nAnswer: -52*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-18)\/(-261))\/2)\/(1\/(-2))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -28329*d + 28329*d - 26*d**4 + (2*d**3 - 2*d**3 - 2*d**4)*(-2 + 6 - 1) in the form s*d**4 + m*d**3 + q + w*d + c*d**2 and give s.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.95 + -7.25. What is the closest to s in 1\/2, 0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 93*j - 1108. Let h(s) = -8*s + 1. Let k be h(-3). Calculate the remainder when (k\/(-2) - -2)*-2 is divided by p(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -3*g + 9. What are the prime factors of g\/(-6)*(-9)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j + 2. Let l(b) = 5*b + 3. Let q(p) = 3*p + 11. Let x be q(-4). Let t(i) = x*l(i) - n(i). Let w(o) = 2*o**2. What is w(t(u))?\nAnswer: 32*u**2 + 80*u + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10708, 8, 2 in decreasing order.\nAnswer: 8, 2, -10708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -48? (a) -3\/134 (b) 37 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from kgabpkkbpapp.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-240)\/(-576))\/((-10)\/(-28)).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1025052, -1024490, -1023914, -1023318, -1022696, -1022042, -1021350, -1020614?\nAnswer: -1019828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l - 33 + 24 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 140*g + 323*g - 37*g in the form z + w*g and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3))**42*(x*x**(1\/11))\/(x*x**10\/x*x*x) assuming x is positive.\nAnswer: x**(-1506\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g**2 + 12*g**2 + 1 - 10*g**2)*(3 - 29 - 1)*(5 - 3 - 4).\nAnswer: -270*g**2 + 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 8:02 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1)*x*x)**(-48)*(x**(-2))**(-7\/3) assuming x is positive.\nAnswer: x**(-130\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express d - 3*d + 2 + d + (-1 - 1 + 1)*(3*d - 1 + 1) + 2*d + 3*d - 3*d in the form c + b*d and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 148*t**2 + 2*t + 20.\nAnswer: 296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**4 + 168*v**3 - 4704*v**2 + 43904*v.\nAnswer: -2*v*(v - 28)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16 + 149921?\nAnswer: 149937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -402, -767, -1122, -1485, -1874, -2307, -2802, -3377?\n\"Answer: -3*f**3 + 23*f**2 - 413*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5313 + -5304. Solve 0 = -p*h + 462 - 408 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -0*z + 50. Let r be z*(-24)\/15*1\/4. What is the greatest common factor of r and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6429 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -1\/12*r**4 - 3*r - 1 + 1\/2*r**3 - r**2. Let z(w) be the first derivative of m(w). What is z(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1665\/2 - -792. What is the common denominator of 134\/(-48) - 2\/(-12) and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2801 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 + (7 + -7 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 5. Let q = u - 1. Let k = q - 6.00000007. What is k rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1230155.\nAnswer: 5, 19, 23, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2116003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10210 (base 3) to base 15.\nAnswer: -6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-36)*d**(-26)*d**(-3\/8)\/d*d*d**(-24))**(-1\/4) assuming d is positive.\nAnswer: d**(107\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 + 12. Let f = -5 - -25. Let j = r + f. Is -1 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62912 a multiple of 231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 + -0.4. Let l be 30\/(-44) - (-4)\/22. What is the closest to -1\/2 in y, l, -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -584 + 585. Which is the nearest to 0.1? (a) -0.4 (b) 0.2 (c) h (d) -0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 9 + 11 = b, -10*c = -7*c for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*q**2 + 54*q**2 - 40*q**2 + 34.\nAnswer: 41*q**2 + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3138 is divided by 90.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(2) - (sqrt(2) + (sqrt(2) - (sqrt(32) + 0 - sqrt(32))) - sqrt(2) - sqrt(2))).\nAnswer: -3 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 951\/28, -26\/7, 0, 1, 0.2.\nAnswer: -26\/7, 0, 0.2, 1, 951\/28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m - 148 + 41 + 40 + 74. Let p(a) be the second derivative of -2*a + 1\/2*a**2 + 0. What is -3*d(c) + 21*p(c)?\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (82\/(-4))\/(1\/(-2)). Suppose l + m = 2*m + z, 5*l - 190 = 2*m. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 94519 and 712?\nAnswer: 67297528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2898836552?\nAnswer: 2, 101, 3587669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 437505964?\nAnswer: 4812565604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 j when three letters picked without replacement from ejjtdjajajaddia?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 4\/4 - -4. Suppose -n*i = 4 - 0. List the prime factors of ((-25)\/4)\/(i\/8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -257*j - 2*j**2 + 130*j + 127*j + 1. Give y(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 729676 is divided by 9600?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 9 + 0 + (-2 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/80 and 13\/42.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -261, -555, -849, -1143, -1437?\nAnswer: -1731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 557 is divided by 64.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -207610 by -41522.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (-7)\/(14\/8). Let f be (76\/(-6))\/(n\/21). Let v(c) = 3*c**2 - 68*c - 4. Let j be v(23). Calculate the greatest common factor of j and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**5 - 700*r**4 - 15032*r**3 + 68656*r**2 - 71520*r = 0. Calculate r.\nAnswer: -149, -30, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 174*f*v**3 - f*v**2 + f*v - 331*v**3 - 3849*v**2 + v wrt v.\nAnswer: 1044*f - 1986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1549564?\nAnswer: 2, 19, 20389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 16 = -14. Let n = q + -4. Solve 8 = s + 4*x, -2*x + x + 9 = n*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 3*w**2 + 4*w + 3. Let l be r(4). Suppose u = 5*u + l*v - 30, u = 2*v + 2. Let i = u - 1. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15887 by -6.\nAnswer: 15887\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j\/(j\/((j*(j*j**(-3\/2))\/j)\/j))*j)\/j)\/j)\/j)\/((j*j*j\/(j*j**5)*j*j)\/j)*j\/(j\/j**(-2\/49))*j**(-3\/8) assuming j is positive.\nAnswer: j**(-359\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -6\/7*i + 0 - 3\/7*i**2 + 3\/7*i**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**4 - 2*y**4 - 3*y**4 + (-2 - 1 + 2)*(-5*y**4 + 5*y**4 - y**4) + 0*y + 0*y + y**4.\nAnswer: -3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1010101 (base 3) to base 12\nAnswer: -584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-12)*18\/4. Suppose -g*a = -5*t + 430, -2*a = 4*t + 3*a - 307. List the prime factors of t.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 32 = -o, -2*o - 573 = -364*r + 283*r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.0539 * 66834\nAnswer: -3602.3526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (324*f - 19*f**2 - 324*f)*(76*f + 29*f - 24*f)*(4 + 3 - 4) - f**3 + 0*f**3 + 2*f**3.\nAnswer: -4616*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 2. Let q(x) = -x**3 + x**2 + 1. Let t(y) = -j(y) + 2*q(y). Calculate the lowest common multiple of 2 and t(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4493345762 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52977 - -52976. Let x = -0.1 + 0. What is the closest to m in -3, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-1\/2))\/((f**1*f)\/f)*((f*f**4)\/f)\/f**(-6) assuming f is positive.\nAnswer: f**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -1, -26 in ascending order.\nAnswer: -26, -1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 505303, 508386, 511469?\n\"Answer: 3083*a + 502220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 26 = 4*p, 3*p + 8*z = 4*z + 3 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 3:17 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10022 - -2?\nAnswer: 10030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 571 (c) 2\/13 (d) -4 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 70 and 0.0524222.\nAnswer: 3.669554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/7, -1\/2, 73\/28, 1?\nAnswer: 73\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 2*b + 2. Let i be t(4). Suppose -i*a = -2*a + 320000. What is a rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409 is divided by 59?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, -3, -1, 93, 0, 1.\nAnswer: -52, -3, -1, 0, 1, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -4*q + 7 + 3 - 3, b + 37*q = -77 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - ((-96)\/8 - -11). Solve x*h = 5*v + 25, -2*v = -4*v - 8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) -2\/11 (b) -0.4 (c) -3 (d) 487 (e) 4 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55852, 55193, 54092, 52549, 50564, 48137?\nAnswer: 45268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 0, d + 36 = 4*t + 4*d. What is the units digit of 3\/t - (-23)\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 9*w**2 - 2*w + 12. Let p(s) = -3*s + 0 + 4*s + 2. Let u be p(7). Calculate a(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 12*s + 16. List the prime factors of d(6).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(242) - 1*sqrt(242)) + sqrt(242))**2 - (0 + sqrt(128) - (sqrt(2) - (sqrt(2)*-1 + 3)))**2 - ((sqrt(486)*-1)\/(sqrt(24)\/(sqrt(8)*-2)))**2.\nAnswer: -36*sqrt(2) + 481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 65, 93, 137, 203, 297?\nAnswer: 425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b**3 + b**2 + 33*b + 27. Let k be s(-13). Let m = 13234 - k. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.651 + -0.029. Let q = 3.68 + p. Let o = -32 - -129\/4. Is o bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 3*t**2 + 2*t + 2. Let d = -2 + -7. Let q = d + 19. Calculate the lowest common multiple of v(3) and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/16*2 + (-55 - 43 - -105)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n**2 - 2*n - 13. Determine f(-4).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 108, 112, 64, -48, -236, -512, -888?\nAnswer: -1376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49685\/6 + -8295. Find the common denominator of -91\/948 and h.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 828576 and 414288?\nAnswer: 828576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(684)*3.\nAnswer: -72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3944 and 467944?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4067.2 millilitres in litres?\nAnswer: 4.0672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 6*s + 5. Let m be 136\/22 - 4\/22. Let i be l(m). Suppose 4*g = 5*y - 17, 4 + 23 = g + i*y. Put -2, 4, g in descending order.\nAnswer: 4, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*a + 25*a**3 + 0*a**3 + 98*a.\nAnswer: 25*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1309*q**3 - 2*q**2 + 0*q**2 + 2*q**2.\nAnswer: -1309*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*j - 3. Let p(z) = 373*z + 4105. Let d be p(-11). Sort j, -4, d, -26 in increasing order.\nAnswer: -26, -4, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 762899668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -3*v - 45, -4*v + 3*z - 3*z + 36 = 4*z for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*c - 2*c + 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 64. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 2. Let g be (10 + -3)*(-27)\/189. Is g\/m*-1 + 114\/8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**3 + 27*i**2 + 12*i - 12. Let f be (193\/772)\/(1\/(-52)). What is g(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/14)\/((q*q\/(q*q*q*(q\/(q\/q**20)*q)\/q*q))\/q))**(-1\/41) assuming q is positive.\nAnswer: q**(-325\/574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 326250 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 23*b + 278. Let o be z(-12). Suppose -5*f = -6 - 4. What is the second derivative of -r**o - 4*r**f - 4*r + 3*r - 2*r wrt r?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12750807 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 + 5*r + 4. Calculate g(-5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(102)*1 + (sqrt(102) - (3*sqrt(102) + sqrt(102)))*6)\/((-3*((sqrt(30) - sqrt(30)*-6) + sqrt(30)))\/sqrt(5)).\nAnswer: 7*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 4, 32\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (2 - (-5 + 26))) + -50?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**4 + 0*c**4 - c**4 + 5*c**5 - 10*c**5 + 10*c**3.\nAnswer: -5*c**3*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*c**3\/7 - 65*c**2\/7 + 58*c\/7 + 16\/7.\nAnswer: -(c - 1)*(c + 8)*(9*c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*u**3 + 15*u**3 - 18*u**3 - 12*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m - 165. Let q(w) = 24788*w. Give z(q(i)).\nAnswer: -49576*i - 165","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 57*u**2 + 306*u + 3836. Calculate c(-61).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + -0.5. Let l be (8 + (-245)\/28)*(-16)\/30. What is the biggest value in l, k, -13?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1086, 1087, 1088, 1089, 1090?\n\"Answer: g + 1085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 504.5138ml in litres?\nAnswer: 0.5045138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -1242847.5\nAnswer: -4971390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*a + 0 - 6\/5*a**2 - 6\/5*a**4 + 12\/5*a**3.\nAnswer: -6*a**2*(a - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -863685*g**4 - 1916056 wrt g.\nAnswer: -3454740*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*u + 41620 - 21052 + 37320. Which is smaller: 2149 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 3*h - h + 30, -3*g + 3*h = 81. Let u be -2 + (-64)\/g + 4750\/35. Is 136 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.72 (b) 0 (c) -2\/11 (d) -0.055 (e) -0.1 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(11 - 1888\/176).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 3323517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 854 by -427.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.56315 to 1 dp.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + 137. Let x = q + -358. Let v be (1 - -19)\/((-1)\/x). What is v rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - -153350258.7509?\nAnswer: 153350259.2509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*t**3 + 0*t**3 + t**3)*((2 - 3 + 4)*(-1 + 0 + 3) + 14 - 6 + 10).\nAnswer: -264*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -107, -237, -445, -725, -1071, -1477, -1937, -2445?\n\"Answer: o**3 - 45*o**2 - 2*o - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7142 = 72*u + 39*u - 17833. What is the highest common divisor of 468 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 3*c - 48 = -2*p, 20 = 2*p - 4*c. Suppose 0 = p*i - 23*i + 325. Let t = i - 60. Let l(j) = j - 7. Give l(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -595 in descending order.\nAnswer: 0, -2, -595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2211 times -2771?\nAnswer: 6126681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -1 + 54\/(-36))*12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*n - 5*h, 0 = -2*h - h. Calculate the common denominator of 3161\/(-406) - (n - 0) and (-2)\/(-3) - 133\/(-30).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1622 (base 13) in base 7?\nAnswer: -12305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 5, -0.07, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 6*f - 6. Let i be q(-4). Suppose -5*p - 13 = 7, 36 = i*u + 2*p. Which is greater: u or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, -4, -30, -66?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and -870?\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 36999 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (-97 + 0\/2). Let y(l) = l**3 + 14*l**2 - 17*l - 19. Let m be y(-15). What is the greatest common factor of m and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*a - 13. Find the third derivative of -7*y**a - 5*y**2 + 7*y**2 + 3*y**3 wrt y.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -r**5\/5 + 4*r**4\/3 - 2*r**3\/3 - 12*r**2 - 4*r. Factor x(i).\nAnswer: -4*(i - 3)*(i - 2)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -353 (base 7) in base 16?\nAnswer: -b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2118?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-27648.\nAnswer: -110592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2101765 to the nearest one hundred thousand.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540957232.\nAnswer: 2, 33809827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from ozhozohohzoozo.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54 - -86. Let s = 64 - v. Suppose 4*z - 6 + s = 2*i, -2*i + 12 = 3*z. Solve i = -2*l - l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -0.49 (c) 7 (d) -74 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-14) - ((-180)\/21)\/4. Suppose -w + 0*w - 5*b = -23, 0 = -2*w + b + x. Solve -4*o + 17 = -w*s, -5*o + 15 = 5*s - 3*o for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11656 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 58*v + 809. Let y be r(23). Let w(g) = 3*g + 15. Let s(d) = -2*d - 14. Calculate y*s(z) + 3*w(z).\nAnswer: z - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25060 or 24286?\nAnswer: 25060","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4*(1*sqrt(325) + -4 - sqrt(325) - sqrt(325) - ((sqrt(325) - (sqrt(325) + -1))*-5 - sqrt(325)) - (-5 + -4 + (3 + sqrt(325) - sqrt(325)))))**2.\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -18*b + 584. Let y be t(31). Which is smaller: y or 127\/5?\nAnswer: 127\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 728470.9g in milligrams?\nAnswer: 728470900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + 3*s + 27. Suppose s = c + 1. Calculate the remainder when 47 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12699 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - o**2 + 6*o**2 - 2*o**2 + 1 + 3*o**2. Give g(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 22.544.\nAnswer: -112.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2\/(-4)*(-2 - 36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 8351 = -26904. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -86253*h**4 + 3*h - 61342.\nAnswer: -1035036*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7650 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -8*c**2 - 23 + 2 - 15*c + 46*c + 18*c. Calculate the least common multiple of 114 and g(5).\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -515*g**2 - 59*g**2 + 118*g**2 - 2591*g**2.\nAnswer: -3047*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**6*p)\/(p\/(p*(p*p\/p**(-18))\/p))*p*p**3*p*(p\/(p*p**(-4\/5)*p*p*p))\/p assuming p is positive.\nAnswer: p**(139\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o**2 + 5*o + 5. Let m be d(-2). Let u(w) = 2*w**2 + 11*w. Let i be u(-11). Calculate the highest common divisor of m and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -853.81446 rounded to 1 dp?\nAnswer: -853.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**2. Let r(t) be the first derivative of 13*t**2 - 42. Give s(r(d)).\nAnswer: -2028*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1719, -3433, -5143, -6849, -8551, -10249, -11943?\n\"Answer: 2*u**2 - 1720*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53591 - 28270. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0198526 - -0.01938. Round f to 5 dps.\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and 1.130597.\nAnswer: -1.869403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, j: 1, k: 1, x: 5, q: 1, f: 3}. Give prob of sequence jq.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 162982, 325957, 488946, 651949, 814966, 977997?\nAnswer: 1141042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.19 + 2.28. Suppose 0 = -4*f + 48 + 32. Let m be 6\/(-10) - 8\/f. What is the second biggest value in m, -3, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 7*f + 270 = 0. Let x be (210\/f)\/((-1)\/(42\/4)). Calculate the highest common factor of x and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/6)\/((-12)\/(-36)). Let t = 1 - -3. Let v be -8 + (13 - 0) + -7. Sort l, t, v in decreasing order.\nAnswer: t, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -526, -0.02, 4, -0.3, -0.1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 2:19 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/((-2)\/13))\/(-1). Let i be 1*(-7 + 3) + -2. Let d = p - i. Which is the second smallest value? (a) 2 (b) d (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14213 and 0.5?\nAnswer: -7106.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 5*a + 3*a + (-2 + 3 - 4)*(9 + 4*a - 9))*(-62*a + 37*a**4 - 35*a**4 + 8*a).\nAnswer: -26*a**5 + 702*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 111 and 2590.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -4, 2.\nAnswer: -4, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 605543876?\nAnswer: 2, 7, 17, 1272151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4689)\/24 - 6\/(-16). Let t = q - -363. What is the greatest common divisor of 24 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and 1598?\nAnswer: 1595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1878436.\nAnswer: 2, 7, 73, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(304) - sqrt(304)) + -3 - (sqrt(304) - (sqrt(304)*-2*2 + sqrt(304))**2) - ((sqrt(304) + 1 + sqrt(304))**2 + 5 - 4*(0 + sqrt(304))).\nAnswer: 1511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -7 + 8*t**3 + 7*t**3 + 3 - 7*t**2. Let f(g) = -15*g**3 + 8*g**2 + 3. Let y(p) = -4*f(p) - 3*z(p). What is the third derivative of y(c) wrt c?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 422, 3, -2 in increasing order.\nAnswer: -2, 3, 20, 422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1652430618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 389532\nAnswer: -116859.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and 97.7898.\nAnswer: -1.955796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87 = 3*m - 3*f, 0 = -116*m + 3*f + 39216 - 42580 for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 + 889*q - 2658.\nAnswer: -(q - 886)*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*s**4 + 8500*s**3 + 980800*s**2 + 2225520*s - 1922112 = 0. What is s?\nAnswer: -564, -142, -3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(98) + 2)*-2 - (0 + 1*sqrt(98))))**2*5.\nAnswer: -210*sqrt(2) + 4415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -70, -98, -128, -160?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/825 and 14\/538575.\nAnswer: 5924325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r - 3. Let j(w) = 5*w + 16. Let o(v) = 2*j(v) + 11*t(v). What is o(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*z + 22*z = -8, -3*c + 3*z - 9 = 0. Let g(h) = 1. Let d(j) = -30*j + 60. What is c*d(b) - 60*g(b)?\nAnswer: -30*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzqzqzzzzzzzqz. What is prob of sequence qq?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/155)\/(19\/1900*-20).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 643 is divided by 311.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7336 = -468*w - 237*w + 181*w for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence upp when three letters picked without replacement from uuuuuuupuupuu?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w - 380 - 485 + 1776 - 491 - 420.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 100000101 (base 2) in base 3?\nAnswer: 100200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {i: 1, c: 6, x: 5, u: 7}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 954000 a multiple of 500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6 - 0.1. Let s = 1 + v. Let t = -0.2 - s. Sort -1, t, -5\/4 in ascending order.\nAnswer: -5\/4, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20000111 (base 3) to base 2.\nAnswer: 1000100100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**3\/7 - 9739192*o**2\/7 + 447999658*o\/7 - 735997700 = 0. Calculate o.\nAnswer: 23, 4869550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140548 - 94884 - 31998 = 5690*d for d.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 16. Let p = 6 + -1. Let i = p - d. Which is smaller: i or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -224 (base 11) to base 16.\nAnswer: -10c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 4:09 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.01 - -5.01. Let p = 6 + -3. Let l = p - 3.1. Which is the closest to l? (a) 0 (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -8. Let d(y) be the second derivative of y**2 + 0 + 2*y - 1\/6*y**j. What is the derivative of d(f) wrt f?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2\/4 + -1)*(5 - 79)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-10) - 0)\/(924\/(-6160))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -234209\nAnswer: -3\/234209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-480)\/(-225) + 4\/(-30). Let i(r) = -r**h + 18*r - 5 - 6 - 1 + 1. Let o be i(16). Calculate the highest common divisor of o and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7288059.91589539 + -7288060. Let y = n - -0.0841. What is y rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-one fifths of a hour?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 8*l = -18. Let z be ((-17)\/(-17))\/((-2)\/l). What is the tens digit of (-19)\/(z + 16\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 249459, 503586, 757725, 1011882, 1266063, 1520274, 1774521?\nAnswer: 2028810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12323 (base 4) in base 14?\nAnswer: -239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*h - 162. Let i = h + -17. Let w(y) = -3*y**2 - 11*y + 1712. Let t be w(22). Solve 5*l + i = -s + 6, 0 = 3*s - 5*l - t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -5003?\nAnswer: 5006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = q - 2 - 4, -x = 2. Let n(d) = -3*d + 3*d + 0*d**2 + 7 - 3*d - 7*d**2 + d**3. Is n(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 387 + -542. Let c = i - -154.54. What is c rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*o**4 + 9*o**3 - 2607482*o**2 + 719450*o + 22 wrt o?\nAnswer: 60*o**2 + 54*o - 5214964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/153, 2\/5, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 43*c - 1. Let l be s(3). Let k(j) = 108*j + 1481. Let p be k(-14). Let n = l - p. List the prime factors of n.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*l + 2*b + 36, -2*l - 3*b + 24 = 0. What is the remainder when 3*(-3)\/2*(-5658)\/369 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2726070, -2726066, -2726058, -2726046?\nAnswer: -2726030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114 (base 15) to base 8.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epddtepptpeptdttptp. Give prob of picking 1 d and 1 e.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3358658 - 3358657.1800082. Let b = 0.82 - l. Round b to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -201672 - -2001047\/10. Let u be -2 - (2 + -18*87). Let b = u + q. What is the common denominator of b and -41\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12314441 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 o when two letters picked without replacement from {p: 4, b: 3, o: 2}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 208.4 to the nearest ten.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2463*w + 7373*w - 8235 = -3325*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*y + q + 8, -y = 2*q - 4. Suppose -y*d + d = -15. Which is the third smallest value? (a) -2\/9 (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 2*p - 7*p + 75, 64 = 3*x + 4*p for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(4 - (-22)\/(-6)). Suppose -4*i = -s + 52, u*s + 2*i - 142 = -0*s. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -f**9\/378 - f**6\/30 - 5*f**3\/2 + 6*f. Let j(b) be the second derivative of v(b). Find the third derivative of j(i) wrt i.\nAnswer: -480*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(((r**(-2)\/r)\/r)\/r))**17)**48\/(r**(-1\/3)\/r*((r**(-11)\/r*r)\/r)\/r)**13 assuming r is positive.\nAnswer: r**(15247\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 29*k - 21. What is i(-27)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 33 = 5*h - 12, 5*h - 4*o = -16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14840919?\nAnswer: 3, 19, 59, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3400391?\nAnswer: 17, 200023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 1. Let w(q) = 6*q**3 - 4*q**2. Let t be (-3 - (1 + 1)) + 2. Let s be t\/(-6)*(0 + 8). Let b(l) = l**3 - l**2. Calculate s*b(d) + y*w(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 5*b**2 - 4*b + 5. Suppose -2*h = 5*m - 13, h = -m - 2*h. Suppose -5 = j - 18. Suppose -5*c = 3*z + j, 0*c = -z - m*c - 3. Calculate v(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 2\/3, -0.3, -132.29?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -12.5. Let f = -191.4 - -37.4. Let b = -155 - f. What is the smallest value in d, b, -1\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) 5 (c) 0.5 (d) -0.2 (e) 6 (f) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 4*t + 5, 44*t = 43*t - m + 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19.5 - 43.1. What is g rounded to the nearest integer?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1442 - 1402. Solve 13*n = 33*n + d for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z - 1. Let t(s) = s + 1. Let b be t(3). Suppose 3*w - 2*d = 4, 2*w = 3*d + 2 - 1. Suppose 4*r = 5*c - 2*c + 2, 0 = b*c + w*r + 10. Give g(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -391.2 - -391. Sort c, -5\/3, -10\/7, -1 in increasing order.\nAnswer: -5\/3, -10\/7, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-6))\/((-38)\/76).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13113, 13118, 13125, 13134, 13145?\nAnswer: 13158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/(-3))\/((-6)\/(-8)). Suppose h = d + d. Which is the second biggest value? (a) d (b) 0.5 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 1563*d - 4681. Give z(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + n + 45, -4*n = v + n + 17. Let b = 6 - v. Let j be (150\/(-75))\/(((-16)\/(-4))\/(-2)). What is the smallest value in b, 0.2, j, 21?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mggmgmgig. Give prob of picking 3 m and 1 g.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 1244*u - 6123. What is y(5)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 bigger than -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + 2*h - 3*h + 3, -b - 5 = -h for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*b**2 + 4*b**4 - 2*b**4 - 4*b + 20*b**2 in the form t + y*b**2 + x*b**3 + z*b**4 + v*b and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -2 (c) 202 (d) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14073, 56320, 126725, 225282, 351985, 506828, 689805?\n\"Answer: -h**3 + 14085*h**2 - h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*v + 56*v = 3157. Is v a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayyhhrp. Give prob of picking 2 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3\/5 - 468*i**2 + 91260*i - 5931900.\nAnswer: 4*(i - 195)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -8 - (16 - 18).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**4\/4 - 2*s**3 + 3*s**2 - 4*s - 1. Suppose -15 = 2*l - 5*l. Let u be z(l). Solve p - 6 = -u for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 717 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -179*v + 371. What is f(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 n when two letters picked without replacement from {n: 1, w: 2, d: 1, v: 10}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -417 - -255. Let o = -30 - -10. List the prime factors of (1\/(4\/b))\/(15\/o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/9 (b) -1\/3 (c) 182\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 350 - 354. Let j = 0 + 0. Which is the smallest value? (a) 0.4 (b) j (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-7))\/((-609)\/(-2742530)*193).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 37770799, 37770792, 37770783, 37770772, 37770759?\n\"Answer: -s**2 - 4*s + 37770804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*x - 3*x. Calculate the remainder when 35 is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 7686666?\nAnswer: -7686663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8421 - -602?\nAnswer: -7718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t + 2*t + t + 2*t + 5 - 5 - 11*t + 21*t - 33*t + 2*t - t - 3*t + (4 + 1 - 3)*(3*t + 2*t - 3*t) - 3*t + 4*t - 3*t in the form i + n*t and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20399 is divided by 101.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-6) - 18\/(-27) - -2. Suppose -91 = 3*y - 550. Suppose -5*g + 3*b = -261, -5*g + 2*g + h*b + y = 0. Is 18 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101083366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -177572*a**5*n - a**2*n + 18*a*n - 2*a - 10*n - 82 wrt a?\nAnswer: -3551440*a**3*n - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -650119.19542 - -650110. Let k = l - -9.19. Round k to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -2*x - 4*y, -3*x + 2*y = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 123 + 82. Let m = q + -129. Calculate the smallest common multiple of 14 and m.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4*t + 50 - 36 = 0, 28 = -5*m + 3*t. Which is smaller: m or -139\/122?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -776 + 833 = 3*c. Suppose 20*z - 4 = c*z. Solve 0 = 3*a + z - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/(-85))\/((-1)\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -48, 2875199 in descending order.\nAnswer: 2875199, -3\/4, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 64*p**5\/5 + p**4\/12 + p. Let r be q(-1). Round r to the nearest ten.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 727 is divided by 46.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -4 + 67 + -48 - 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + m. Let p be h(0). Suppose 0 = i - p*i. Let b = i - -31. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4841889 and 153799.\nAnswer: 1853","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 38126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5\/3 (b) -16 (c) -0.2 (d) -10 (e) -0.6 (f) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/70)\/(15\/7).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -3*k + k. Let f be 6\/8 - k\/8. What is the third derivative of 2*y**2 + 2*y**2 + 0*y**6 + y**6 - f*y**2 wrt y?\nAnswer: 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 8*m. Let j(d) = -408*d**2 - 1. Give j(y(p)).\nAnswer: -26112*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 294.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44771.89 - 44180. Let j = -597 + h. Let c = -0.11 - j. Put -1\/4, 2, c in descending order.\nAnswer: c, 2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.082 rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -33, -171, -391, -687, -1053?\n\"Answer: s**3 - 47*s**2 - 4*s + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/10? (a) 5 (b) 3 (c) -3 (d) 15 (e) -4 (f) -174\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 588 and 743232.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000017892 to 7 dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 0*q**2 + 3\/28*q**8 + 0*q**7 + 52\/3*q**4 + 0*q**6 - 3 + q - 19\/20*q**5 + 1\/3*q**3. Find the third derivative of x(g) wrt g.\nAnswer: 720*g**3 - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**2 + 2*x**2 - 12*x**2 - 5*x**2 in the form f*x**2 + o + c*x and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -119 + 122. Let h = -0.19 + 0.29. Which is the smallest value? (a) -2\/5 (b) h (c) o (d) -27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2926298 rounded to 3 decimal places?\nAnswer: -2.293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.3 - 2. Let k be 1*-1 + (-10)\/(-14). Let o = 4.2 - 4. Which is the nearest to k? (a) g (b) o (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 205 - 203. Suppose 179 = 3*a - 5*d, -10*a + 7*a + j*d + 185 = 0. Calculate the remainder when a is divided by (-8)\/((-2)\/(-4) - 1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, u: 2}. What is prob of picking 2 u?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -103.5 times -0.2?\nAnswer: 20.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -127*z**4 - 52*z**4 - 36*z**4 + (3 + 0 - 5)*(3*z + 2*z**4 - 3*z) as j + v*z**2 + h*z + w*z**4 + g*z**3 and give w.\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 18*j - 11. Let v(s) = -27*s + 16. Let u(b) = -7*a(b) - 5*v(b). List the prime factors of u(6).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0828 and 0.1.\nAnswer: 0.00828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1537733 is divided by 3251?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (21\/14)\/(3\/8). Suppose -c + w*k + 25 = -2734, -4*c - 5*k + 11078 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*k - 23*k + 53*k)*(4*k**4 + 3*k**4 - 3*k**4) + 3*k**5 - 3*k**2 + 3*k**2 + k + k**5 - k.\nAnswer: 24*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5*i**3 + 6*i**2 + 6*i + 6. Suppose j - 4*v = 6*j - 47, -5 = -j - 3*v. Let x(h) = -9*h**3 + 11*h**2 + 11*h + 11. Calculate j*k(w) - 6*x(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -458 - -454. Suppose n - 4 = -3. Which is the closest to n? (a) g (b) 0.8 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h - 1. Let x(j) be the second derivative of j**2\/2 + 12*j. Suppose -8 = -4*b - 0*b. Suppose -m - b*m = 6. Give m*x(t) - n(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -540158 divided by -1?\nAnswer: 540158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 458996934?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4151801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -1333*w. Let s(h) = 2*h. Determine s(q(g)).\nAnswer: -2666*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 7*c**2 - 14*c - 53. Let b be i(-6). Sort 21, b, 5, 9.\nAnswer: b, 5, 9, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(6\/13)\/(j*j**18))**(20\/7) assuming j is positive.\nAnswer: j**(-4820\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 96.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 20.734 * 21\nAnswer: 435.414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v**2 - v - 6. Let h(t) be the second derivative of -t**4\/2 + t**3\/3 + 9*t**2\/2 + 2*t. Let m(s) = -5*h(s) - 7*x(s). List the prime factors of m(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*y**2 + 6*y**2 + 10*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 15 - -3)\/((-1)\/2). Suppose 0 = 5*r - 3*v - 0 - 39, 2*r - u = -2*v. Suppose r*k = 868 + 185. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -1254*r**2 + 79007*r - 17. Calculate c(63).\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/7 + (-1506)\/(-21). Suppose 0 = 2*p + p - d. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3)*2 + 3 + sqrt(3) + sqrt(3) + (sqrt(432)*-2)**2 - 4*(sqrt(3) + 1*sqrt(12))**2.\nAnswer: 4*sqrt(3) + 1623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1215 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 4*g, -5*g + 1 = 4*l - 0*l. Are -12\/19 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1221, 1.3, 0.33, -0.9 in increasing order.\nAnswer: -0.9, 0.33, 1.3, 1221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*u = 8. Let i be (-24)\/(-30)*(-2 + u - 7). Let p = 77 + i. What is the remainder when p is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 266 + 7600?\nAnswer: 7866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1.2 (b) -312 (c) -6 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3345081540 to the nearest integer?\nAnswer: 57837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 3*p - 2, p - 33*z - 10 = -35*z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 28 - 32 = 0. Let q = m + 20. Solve 0 = -2*v - 6, -2*v - 10 = q*b + 3*v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**4 + 94*t**3 - 882*t**2 + 1274*t + 6860 = 0. Calculate t.\nAnswer: -2, 7, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2357952?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2042, 7642, 16974, 30038, 46834?\n\"Answer: 1866*x**2 + 2*x + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -15\/8, 11, 52\/973 in descending order.\nAnswer: 11, 52\/973, -15\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(5\/3)\/a*a\/(a*a**(3\/7)))\/((a\/(a**(-6)\/a)*a)\/a**7))**(20\/7))**(-1\/14) assuming a is positive.\nAnswer: a**(370\/1029)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**3 + 10*f**2 - 11*f + 18. Let u be a(14). Suppose 2311 = -x - u. Let l = -8370 - x. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33417*f + 33422*f + 33416*f - 133*f**2 + 33418*f - 133673*f.\nAnswer: -133*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 747.7088km?\nAnswer: 74770880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o*o**(-1\/2))\/o*o*o*((o*o**(3\/5))\/o)\/o)**(-28) assuming o is positive.\nAnswer: o**(-294\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -3, -5 in ascending order.\nAnswer: -5, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 432 - 31*h - 18*h**2 - 433 + 67*h**2 + 35*h**2 in the form x + o*h + a*h**2 and give o.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 44670 to the power of 1\/2, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnonnonnnoono. What is prob of sequence nonn?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1317 divided by -144456\nAnswer: -439\/48152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25227 is divided by 2795?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-38134)\/(-69)*3\/(-6). Let i = -276 - k. Let 4\/3*o - 1\/3*o**3 - 4\/3 + i*o**2 = 0. Calculate o.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 + (4 - 12) - 5 - 3 - -13\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1698862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -133*f**3 + 49*f**3 + 35*f**3 + 62 + 47*f**3 + f as d*f**3 + h + b*f + o*f**2 and give h.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17522 - 17526.0834. What is a rounded to one dp?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.812919nm?\nAnswer: 0.000000812919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4449354764?\nAnswer: 2, 1112338691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-20))\/((-7)\/(-175)). Let q(u) be the third derivative of -1\/96*u**4 + 0*u + 0*u**3 - 10*u**2 + 0 - 1\/240*u**m. Factor q(d).\nAnswer: -d*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3697\/316, 0.1, -2\/7, 3, -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 4 = -5*m - 3*m. Let l(y) = y**3 + 4*y - 3. What is the least common multiple of m and l(2)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 9. Let w(x) = 593*x + 3. Let f be w(i). Let y = 1153\/2 + f. What is the common denominator of 4\/5 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*(-36)\/81?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2472 + -2470. Let f(s) be the second derivative of 1\/12*s**3 - 9*s + 0 + 1\/12*s**z + 1\/36*s**4. Find g, given that f(g) = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 4, -37, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 bigger than 77.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86094 is divided by 1573.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 4*z + 3. Let w be i(6). Let h be (5\/((-15)\/w))\/1. Solve -4*p + 26 = h*c, -2*c + 15 = -7*c + 5*p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppzzxxzpxxzzxp. What is prob of picking 2 p?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*l - 8*l + 10*l)*(2 - 2 - 2) - 27 + 33 + 494 + 71 + l - 4*l in the form b*l + d and give d.\nAnswer: 571","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1452 - 130753\/90. Calculate the common denominator of x and 67\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 86\/(-1)*13\/(-26). Suppose 5*n + i = 178. What is the greatest common divisor of n and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66417851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(((-4)\/(-1))\/(-4)). Suppose -z*n - 4*v + 1659 = 0, -5*n + 2765 = v + 2*v. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lrr when three letters picked without replacement from rarly?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjjp when four letters picked without replacement from ppsssssspppjsssj.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 + 35. What is the second derivative of c**3 + 26*c**3 + t*c**3 + 32*c + 4*c**3 wrt c?\nAnswer: 186*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (43*u - 43*u - 8*u**2)*(12*u**2 - 82*u**2 + 26*u**2) to the form d*u**3 + x + p*u**2 + v*u + a*u**4 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -557403390 to the nearest one million.\nAnswer: -557000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) 2 (b) -3 (c) -110 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*m - 152 = 65*m. Let b(s) = -s**2 + 9*s + 5. Let n be (-4)\/18 + 249\/27. Let z be b(n). Put -14, z, m in decreasing order.\nAnswer: z, m, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.3 + -7.3. Let x = d - -5.8. Sort 5, x, 7 in decreasing order.\nAnswer: 7, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -4, -225, -5945, 2.\nAnswer: -5945, -225, -5, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 335 divide 173865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -111*s**2 + 3439*s - 24389. Calculate d(20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f + 6. Let t be m(-10). What is the greatest common divisor of 180 and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/(-240)*(-22 + 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*r - 342519 = -161*r + 2100729. Is 72 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 5 (b) -469.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*u - 11*u + 33*u)*(-6*u + 9 - 9) - 2*u**2 - 2 + 2 to k + m*u**2 + j*u and give m.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/55116 and -21\/2?\nAnswer: 55116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 236749, 236755, 236765, 236779, 236797, 236819, 236845?\n\"Answer: 2*p**2 + 236747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 9.698 and -13369.\nAnswer: -13359.302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*s + 2859, -10*i + 3579 = 5*s - 13*i. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186930.\nAnswer: 2, 3, 5, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 457956234 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6698*v = -4740*v + 117480 for v.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 6*a**2 - 3*a - 7. Suppose -12 = -5*d - 32. Let w(g) = 5*g**2 - 3*g - 7. Let n(o) = d*z(o) + 5*w(o). What is n(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j. Let b(o) = 3877615*o. Give l(b(p)).\nAnswer: -3877615*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/3210 and 77\/8560.\nAnswer: 25680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/((45\/6)\/5). Let r be ((-18)\/z)\/(3\/(-2)). Let a(v) = 13 - r*v - 13. Let s(m) = -4*m. Give s(a(d)).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/2)\/(84\/6))\/(-1)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 2:40 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8403.0012462 + 8403. Round n to five decimal places.\nAnswer: -0.00125","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - 0 - 4*(4 + -5). Solve -2*s + 4*a + 28 = 2*s, -y*a = 20 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tryy when four letters picked without replacement from {r: 3, t: 3, s: 3, j: 2, y: 3}.\nAnswer: 9\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 4*f. Let d = 231 - 227. Suppose -3*q - d*j + 503 = f, -2*q = 2*q - 5*j - 619. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, j: 7, g: 2}. Give prob of sequence mg.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1138*o - 270 = 2248*o - 1120*o for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/8 and (-550)\/(-15)*6\/(-32).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 17 = 5*l, 0*l = -4*o - 5*l + 38. What is the remainder when 26 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -7318793\nAnswer: -2195637.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 0.074756\nAnswer: 0.0224268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -37*g**5\/3 + 1474*g**4 - 39539*g**3\/3 + 30090*g**2 - 6492*g - 11880 = 0. What is g?\nAnswer: -18\/37, 1, 3, 6, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 39253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 366 - 366 + 48*w + (7*w - 2*w - 12*w)*(7 - 4 + 1) + w + 3*w - 5*w - 1 as d*w + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4631, 4625, 4607, 4571, 4511, 4421, 4295?\n\"Answer: -k**3 + k + 4631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (260\/3 + -2)*3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/1880 and -51\/47?\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-670)\/(95*98\/(-931)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7496 - -0.7632.\nAnswer: -7495.2368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -4107387, 5, -3, 2, -1 in increasing order.\nAnswer: -4107387, -3, -1, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -28466899.\nAnswer: -85400697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -217 + 223. Let w(c) = c**2 - 5*c + 4. Let f be w(4). Suppose f = p + a - 23. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 312 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -18. Suppose -6 = -3*i + 3*w, 5*i + 4*w - 4 = 3*w. Let q = a - i. Solve -4*j + q*j - 1 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 7:10 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(1\/6)*c)\/(c\/(c*c\/(c**6\/c)))*((c*(c\/((c\/c**8)\/c*c*c))\/c)\/c)\/c*c**(-8))\/(c*c**(8\/7)\/c*c*c*c\/c**(-2\/17))**(-6) assuming c is positive.\nAnswer: c**(15515\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 7:49 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -9*k + 18. Let c be f(2). Suppose c = -2*z - 4, -12*z + 14*z = -2*m + 1642. What are the prime factors of m?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 380*c**2*j**3 + 119*c**2 + 13529*c*j**4 + c - 6043 wrt j?\nAnswer: 1140*c**2*j**2 + 54116*c*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27.973 - -28. What is y rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -921*z**3 - 5*z + 287 wrt z.\nAnswer: -5526*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -461873*n**3*z**3 + 2*n**2*z - 2997772*z**3 wrt n.\nAnswer: -2771238*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/(-66))\/(1 + -3))\/((-1661)\/9966).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**3 - 4*o + 4*o + (1 - 1 - o)*(22 - 4*o**2 - 22) - o**3 + o**3 + 2*o**3 to the form i*o**3 + c + b*o + m*o**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -212443211?\nAnswer: -212443212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(152) + (sqrt(152) - ((sqrt(152) - -2*sqrt(152))*-1 + sqrt(152))) - (-2*sqrt(152) + sqrt(152))*3))\/((-3*sqrt(288))\/(-2*sqrt(400))) + -1.\nAnswer: -1 + 560*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 5*p = -3*s + 15, 3*p - s - 3 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, a: 8}. What is prob of picking 4 a?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2105959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/11))**(-33))**(-7\/5) assuming h is positive.\nAnswer: h**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.563 + 1.417. Let i = -14 + l. What is i rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(252))\/sqrt(4) - ((sqrt(126) - (sqrt(126) - 2*sqrt(126)))\/sqrt(2) - sqrt(63)))\/(1*(sqrt(18) - sqrt(2592)*-2)\/sqrt(2)).\nAnswer: -3*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j - 18. Let q be f(11). Find the first derivative of 7*o**3 + 202*o + q - 202*o wrt o.\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 25 + 3465*b**2 - 3463*b**2.\nAnswer: 2*b**2 - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -m - 20. Suppose 0 = g - m*d - 17, 2*g - 3*g = 5*d + 10. Suppose -1 = -3*z + 11. Solve g*b - b = 4*i + 20, 0 = -z*i + b - 11 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 + 32. Suppose v = -3*j + 2*j + 84. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39666, 40464, 41262, 42060?\nAnswer: 42858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(4598)*-1 + (sqrt(152) + (sqrt(152) - (sqrt(152) - (sqrt(152)*-2 + sqrt(152) - sqrt(152)))))\/sqrt(4)))\/((sqrt(216)*-2)\/(-5*sqrt(12))).\nAnswer: 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 653 is divided by 47?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 0.3, -1.1, 2 in descending order.\nAnswer: 2, 2\/5, 0.3, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 + -41.02. Let q = 0.15 - -0.03. Let o = x - q. Which is the third biggest value? (a) o (b) 0.4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/30*10*(-3)\/(-6).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -38*t**2 + t - 4. Let h(i) = 7*i**2 - 4. Calculate -3*a(l) + 3*h(l).\nAnswer: 135*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*g - 79*g + 137*g - 57*g.\nAnswer: -32*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.141 (b) 7548 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -5 - (-39 + 20 - -19).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0892 + -3.9108. What is the third biggest value in -2\/5, -1\/3, x, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + 1*sqrt(114))*-4 - (sqrt(114) - 1*sqrt(114)*6))\/(sqrt(150)*4 - sqrt(432)\/sqrt(8)).\nAnswer: -3*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 6*h + 5. Let u be b(-6). Let m = -5 + u. Solve m*c - 4*c = 2*w + 18, 3 = -2*w + c for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -845643 - 0.08.\nAnswer: -845643.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -15676.12932 to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000101001 + -10110?\nAnswer: 1000010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-1\/6)*r\/(r\/r**(-1\/11)))**(-48) assuming r is positive.\nAnswer: r**(-568\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 607014 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 52542, 52539, 52524, 52491, 52434, 52347?\n\"Answer: -o**3 + 4*o + 52539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/(-10))\/2)\/(77\/((-1983520)\/(-92)))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, n: 2, p: 4}. Give prob of sequence pp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 327830?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19455946613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 8, r: 2, u: 5}. What is prob of sequence uqu?\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/6)\/((-51)\/(-1224)) - (0 + 4). Solve -5*h - 27 = -j, -w*j = h - 8*j + 32 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156618827 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -620\/11 (c) 1\/3 (d) -13\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**2)**(-31\/3)\/(l**(-1\/20)*l\/(l*l*l**(-4\/3)*l*l)) assuming l is positive.\nAnswer: l**(241\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -744*a**2 - 564*a + 186*a - 1 + 188*a + 193*a to the form q*a**2 + r*a + u and give q.\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/32*(-4*2 - 128\/(-32))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a day?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 910*l + 1809*l + 2167*l - 10 + 12 + 1633*l to the form r*l + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + a - 193 = 0, -2*l + 127 = -0*a + a. Suppose 2*j - 198 = -c, 0*c + c = 3*j - 297. What is the greatest common factor of l and j?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 7*c - 5. Suppose -200 = -26*s + 6*s. Let y be m(s). Solve -5*a - y = -0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate s**2 + 8*s**2 - s**2 + 4 wrt s.\nAnswer: 16*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*x = 75*x - 27. Suppose 0 = 8*c - 5*c - 5*a, -5*c = x*a. What is the second biggest value in c, -0.007, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360 = -8*u + 5*u. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1306?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-2\/7)*z)\/z*z**(-2\/19)\/z*z)**(2\/25)\/((z*z**(-2\/5))**(4\/19))**6 assuming z is positive.\nAnswer: z**(-2206\/3325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-7))\/(290\/203)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/7 (b) -2 (c) -74\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i - 10 - 46 = 7 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 3, -2, 2494 in increasing order.\nAnswer: -9, -2, 3, 2494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2070 divided by 138?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 3*q + 4, 757*q - 752*q = 4*r - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of o**3\/6 + o**2 - 45*o\/2 - 3730. Factor h(n).\nAnswer: (n - 5)*(n + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 6*f**2 - 1347*f - 5977. What is m(227)?\nAnswer: -2572","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2077 is divided by 174?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*w - 30, -4*w = -31*s + 30*s - 23. Which is the third biggest value? (a) 1\/4 (b) 4\/49 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -11*u - 9. Let m = 90 + -83. Let t(i) = 6*i + 3. Let q(b) = 1. Let p(x) = 2*q(x) + t(x). Give m*p(f) + 4*h(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-21)\/(-28) - (-922)\/(-24))*-3?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 201 - 247. Let d = -150 + 153. Put d, 0, c in descending order.\nAnswer: d, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)\/s)**(-10)*(s\/((s*s**1*s)\/s))**(-12\/13)*(s**(-2))**(-2\/5)\/((s\/s**(-4))\/(s**(2\/5)\/s*s)) assuming s is positive.\nAnswer: s**(1763\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2254293 divided by -9\nAnswer: -250477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 21510355?\nAnswer: 21510355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 44130 take away -1587?\nAnswer: 45717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -82 - -90 - (10 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60380495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -0.915\nAnswer: -4.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/64 in -4\/7, -5, 5, 473, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 8*z + 12. Let v be s(6). Let w = v - 20. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 36*u - 22. Let n(w) = 5*w - 3. Calculate -6*f(h) + 44*n(h).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -599, -1, -4\/3, 4 in decreasing order.\nAnswer: 4, -1, -4\/3, -599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 3 (b) -859\/4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*y - 30*y - 2 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 41 = 2*r, -82 = -5*o + 14*r + 73. Calculate the remainder when 8*82*3\/24 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1869946 divided by -40651?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10491485, 41965966, 94423441, 167863910, 262287373, 377693830?\n\"Answer: 10491497*q**2 - 10*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1027, -2 in increasing order.\nAnswer: -1027, -9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**2\/5 + 2928*y\/5 - 535824\/5 = 0. Calculate y.\nAnswer: 366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 247756 to the power of 1\/2, to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/5*(-2 + (-99)\/(-32)). Which is smaller: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.3 (b) 1 (c) -2409 (d) -2\/13 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -9*v + 2. Let i(q) = 27*q. Let h(t) = 40*t + 1. Let m(k) = 5*h(k) - 8*i(k). Let u(d) = 3*m(d) - 5*s(d). Let x be (-1)\/2 + 13\/2. Calculate u(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 12 = 3*r. Let l(q) = -q**2 - 15*q + 34. Let p be l(-17). Find z, given that z + p + 1\/2*z**r - 1\/2*z**2 - z**3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 4*h + 468, 3*l - 65 = -h + 226. Suppose 95*o = l*o - 29. Find the common denominator of (-1 + o)\/(-3 + 6 - 6) and 59\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0*r + 9 = 2*y, 5*y + 15 = 0. Suppose -w - 5 - 1 = 0. Let k(t) = -t**2 - 7*t - 6. Let c be k(w). Put c, -5, r in descending order.\nAnswer: c, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = t + 5. Sort 0.4, 0, t in increasing order.\nAnswer: t, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + (1 + 11)\/((-2)\/17). Is -98 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + h + 3*h = -20, -5*h = -2*x + 16. Calculate the smallest common multiple of x and 56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85787 is divided by 5340?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/20524950 and 23\/6841650?\nAnswer: 20524950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -889, -1854, -2819, -3784, -4749?\n\"Answer: -965*u + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -13*g**5 - 15*g**5 - 8*g**5 + 384 - 267*g**3 - 354*g**2 - 16*g**4 + 264*g - 14*g**4 + 39*g**5 = 0.\nAnswer: -4, -2, -1, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8292 - 6959. Calculate the greatest common divisor of t and 258.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 45\/14, 4.591, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.122 + 3.878. Let l be (-243)\/(-875) - 2\/7. Let n = l - 623\/250. Which is the nearest to 2? (a) 0.1 (b) n (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197851 times 1?\nAnswer: 197851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a centimeter in micrometers?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -11 (b) -0.2 (c) -1\/8 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1526056 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 - 30. Which is greater: c or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 - 477110*f + 11381697605.\nAnswer: 5*(f - 47711)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -832023020169 from 47.\nAnswer: 832023020216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123, -123, -129, -147, -183, -243?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -361755*b + 180945*b - 429 + 180933*b + 429.\nAnswer: 123*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 5*h = 97 - 75, -x = -3*h + 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**4 + 3*n**4 + 0*n**4 + (55*n**2 + 56*n**2 + 5 - 119*n**2)*(n**2 + 1 - 1) to the form v*n**4 + o*n**3 + m + p*n**2 + f*n and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.3 - 5.302. Let h = 0.00281 + p. Round h to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**2 - 62. Let d(l) = 2*l**2. Determine a(d(h)).\nAnswer: 12*h**4 - 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnjjjjnuyuyynnjn. What is prob of sequence yn?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(80)\/(sqrt(15)\/((sqrt(3) - -2*sqrt(3)) + sqrt(3))))\/((2*sqrt(80)*-2 + sqrt(80))\/(sqrt(40)*-1)).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3735154 divided by -162398.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*(8 + 740\/(-80)). Suppose 2*d = -5*k + 6 - 1, 0 = d - k + 1. Suppose -15 = -0*j + 3*j, d = 3*b - g*j - 760. Is b a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3477398293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42960 - 49840 = 215*j for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 3) to base 8\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58196897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*k - 63*k = 0. Let l(i) be the third derivative of -1\/2*i**4 + 5*i**2 + k - 1\/6*i**3 + 0*i. What is l(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 106.1 from 1.14.\nAnswer: -104.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6114 = w + 5*y, 4*w + 4*y - 5858 = 18678. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**2*s**3 + 2*j**2*s**2 - 12564718*j*s**4 + 2789309*j wrt s?\nAnswer: -6*j**2 - 301553232*j*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 3*z + 2. Let t be f(-3). Let r = -8 - -5. Let l = -2 - r. Is t > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (128 - 83) + 2 + 37?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 7*t**2 + 2*t - 2. Calculate the remainder when z(-6) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3148 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: Let z = -0.489 + 0.47. Put z, -0.5, 6 in increasing order.\nAnswer: -0.5, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -788*l - 12054 = -782*l. Let f = -22101\/11 - l. Let m be ((-2)\/6)\/((-1)\/(-2)). Which is the second biggest value? (a) 5 (b) f (c) -1\/5 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*c + 33, -3*j - 5*c - 43 = -16. Let r(x) = 1. Let a(v) = -21*v + 28. Let i(o) = -a(o) + 35*r(o). What are the prime factors of i(j)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/3 - (2 + (-107)\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -9*1\/9*-2. Find the third derivative of 0*i - 206*i**4 + i**3 + 3*i**x + 0*i + 192*i**4 + 4 wrt i.\nAnswer: -336*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -16*u + 1993. Let c be y(51). What is the greatest common factor of c and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117.5 minus -16203079?\nAnswer: 16202961.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5*u - 36. Let m be b(7). Let k(g) = 1 + 4 - g - 5. Let s = -97 + 91. Let t(n) = 5*n + 2. What is m*t(v) + s*k(v)?\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/20*(-480)\/(-144)*(-8)\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -176*o**4 + 19*o**3 - 12058*o**2 - 2*o + 2?\nAnswer: -4224*o + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*a - 161*a - 216 = 0. Suppose -4*r + 3*z = -z - 632, 3*r = -3*z + 504. Let y = a + r. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of 0 + 0*x**2 - 4\/3*x**3 + 0*x**4 + 0*x**5 - 5*x - 1\/21*x**7 + 0*x**6. What is the second derivative of a(o) wrt o?\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h**3 - 8*h**2 + 13*h + 5. Let x(m) = 3*m**3 + 9*m**2 - 13*m - 5. Let q(p) = -4*t(p) - 5*x(p). Does 3 divide q(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -5*w - 37, -3*q - 69*w - 2 = -71*w for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 4*s + 4. Let h be o(-3). Suppose 0 = -d + 101 - h. Suppose 4*c - d = 22. Is 13 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 34\/(-4)*(-24)\/12. Let n = q - 21. Let c(o) = o**3 + 6*o**2 + 3*o - 4. What is the tens digit of c(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)*-2)**2 + 4 + sqrt(21)\/(sqrt(3)*2*6 + sqrt(3)).\nAnswer: sqrt(7)\/13 + 2272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 1\/((-5)\/(-40)) - 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - s + (5 - 4 - 2)*(-1 + s + 1) + 2*s + s - 2*s - 4 + 4 - s - 41 + 41 - 9*s as u*s + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6e2 - 4?\nAnswer: 6de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-71)\/(-4) + 1\/4. Let f(z) = -32*z + 55. Let b be f(-11). Let l = b - 209. What is the greatest common factor of c and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -1\/657?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*r - 1269 - 22*r + 1271)*(-5 + 4 - 3).\nAnswer: 192*r - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-48)*(3 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) 0.2 (b) 2.1 (c) 3 (d) 1196 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (292\/949)\/(1\/75673) and 8.\nAnswer: 46568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 12) in base 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*(2 + (1*(sqrt(1377) + -1))**2)*4*-6.\nAnswer: -4320*sqrt(17) + 331200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 2990.17277957?\nAnswer: 2979.17277957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61 + 60.959. Let s = -2.959 + m. Let n be ((-2)\/17)\/(0 - 1). Which is the closest to s? (a) n (b) -1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*a**4\/5 - 120*a**3 - 2568*a**2\/5 - 2208*a\/5 + 624\/5 = 0. What is a?\nAnswer: -2, 2\/9, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-6)*5\/(270\/8).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, t: 7, g: 3, p: 1, k: 1}. Give prob of sequence xxk.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of 13*f**5\/20 - 3*f**4\/8 - 113*f**3\/6 - 305*f**2. Differentiate b(j) wrt j.\nAnswer: 78*j - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 4. Suppose -40 = -5*b + 3*g, b + 20 = g - 6*g. Let r be w(b). What is the first derivative of 2*z**3 + z**3 + r + 5*z**3 + 0*z**3 wrt z?\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 741*s**2 + 10*s. Let x(h) = 54464*h**2 + 736*h. Calculate 368*n(l) - 5*x(l).\nAnswer: 368*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -10*c + 164. Let j = -33 - c. Let v be 21\/35 - j\/10. What is the highest common divisor of 8 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*i - 15, -5*f - i + 2*i = 20. Let x = 3 - f. Suppose -x*k - 2 = -9*k. Solve k*c + 1 + 1 = 4*w, -11 = 2*w + 3*c for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -13 + 7 - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 7*y**3 + 8*y**2 + 61*y + 277. Let x be o(-5). Let d = 705 + x. Let b(c) = -3*c**2 + 3*c + 4. What is b(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {g: 2, l: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/270855?\nAnswer: 2\/270855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 4*x - 32 - 8, 0 = -5*x - 0*x for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*i**3 + 131*i**2*r + 3*r + 370 wrt i?\nAnswer: 12*i**2 + 262*i*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(660) - sqrt(660)*-2)\/sqrt(11) - (-4*(sqrt(60) - -2*sqrt(60)) + sqrt(60)))\/((sqrt(192)*-1)\/(-6*sqrt(16)\/sqrt(4))))**2.\nAnswer: 8820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 37 + (48 - 54) - 16\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 23, 2, -0.2, -6.\nAnswer: -6, -0.2, 1\/2, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 3*t**2 + 145*t + 37. What is the lowest common multiple of i(-11) and 340?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*g + 222*g - 5743 - 1253 = 0 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -4*n - 21. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 a when two letters picked without replacement from ipaalnnl?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-1))\/(7 + (-75)\/10). Let u = -1 - -1. Is 1\/l*(-40 - (u + -4)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + -7 - -23) + -13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-96)\/44 + 4\/22. Let o be (34\/14 - 3)\/l. Which is the second biggest value? (a) 1\/4 (b) o (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 22\/5 - (-6)\/(-15). Let a = 0.707 - 0.407. What is the biggest value in a, -3\/7, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.864 + 16.4. Let h = j + -0.136. What is the closest to 0 in -1.8, h, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 5*i + 33. Let s be k(-6). Let m(x) = -13*x + 3. Let f(d) = -90*d + 20. Let n(t) = s*f(t) - 20*m(t). Let z(o) = -10 - o**2 + 3 + 7. What is n(z(p))?\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35302042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 6 (b) 0.02 (c) -6 (d) -0.2 (e) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**3 + 42*q**2 + 51*q - 82. Determine k(15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4)*y**2*y)**31\/(y\/y**(-3\/2)*y\/(y**(3\/2)\/y*y)*y)**(35\/3) assuming y is positive.\nAnswer: y**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*b + 66*b - 33*b + 10*b**5 wrt b?\nAnswer: 200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7638 = 148*t - 530*t + 117*t + 131*t for t.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 13. Let f = 200\/7 + -29. What is the third smallest value in f, 0, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008862588 to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, i: 2, b: 2, j: 2, z: 5}. Give prob of sequence zyyi.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.0896 times -15.087\nAnswer: -1.3517952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -3. Let k(i) = p*i**2 + 6 - 9*i + i**2 + 3*i. Let m be (-6)\/6 - -6 - -1. Determine k(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 204485419, 408970842, 613456265, 817941688?\n\"Answer: 204485423*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*a**2 - 2*a + 479*a**3 - 10*a**2 - 190*a**3 + 0*a**3 + 0*a**3 + a**3 + (-4 + a + 4)*(-2*a + 2*a + 2*a**2) + (5*a - a - 3*a)*(0*a**2 + 2*a**2 + 3*a**2).\nAnswer: 297*a**3 - 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 15*c**3 + 2)*(-2*c + 7*c + 3*c).\nAnswer: -120*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.12 - 0.07. Let b = -6.95 - s. Let u = 7.5 + b. Sort u, -5, 3.\nAnswer: -5, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 41*p**3 - 7*p**2 - 7*p + 58. Let r(b) = -27*b**3 + 5*b**2 + 5*b - 39. Let g(c) = 5*k(c) + 7*r(c). Find the first derivative of g(x) wrt x.\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 11:47 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39510469\/464 + 85152. Let d = -25979\/6538 + 21\/467. Find the common denominator of m and d.\nAnswer: 3248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*s**4 - 4*s**2 + 0*s**2 + 4*s**2 - 4 wrt s.\nAnswer: -52*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81 + 61*g + 83 + 233*g - g**3 to the form y*g**3 + x*g**2 + b*g + d and give b.\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of n**7\/15 - 3*n**6\/25 - 6*n**5\/25 + 2*n**4\/15 - 91*n + 1. Let d(i) be the first derivative of w(i). Solve d(z) = 0.\nAnswer: -1, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -1.7\nAnswer: -11.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -118334 divided by -79\nAnswer: 118334\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-5))\/((-2)\/(-50)). Let s = o + 6. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.046*23.3\nAnswer: 1.0718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 3*w - 13, -3*c + 0*c = 4*w - 21. Differentiate -c*x + 14 + 4*x + 6*x with respect to x.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2115058 and 1254?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**3 - 52*s**2 - 54*s**2 + 18*s - s + 105*s**2 - 2*s**4 as i*s**2 + v + f*s + a*s**4 + c*s**3 and give f.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 96 = -l + 140, 992 = 4*l + 4*v. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -483 + 489. What is the highest common factor of 534 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, m: 3, k: 3, p: 2, j: 1, e: 9}. What is prob of sequence rpj?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6727.9999972093 - 6728. What is f rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1541570891?\nAnswer: 7, 220224413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 910631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12928\/36435 - -166\/1041. What is the common denominator of 58\/(-3)*(-3)\/(-40) and l?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 308316? (a) 0 (b) 0.4 (c) -3 (d) 3 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98930*y = 98931*y - i - 21, 5*y + 8*i - 64 + 206 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*p - 2770 = -9*p - 67*p for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**12)**(16\/3)\/(w\/(w\/(w*w**9)))**(-8\/3))**(-2\/71) assuming w is positive.\nAnswer: w**(64\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2. Let w(y) = 274*y**2. What is s(w(n))?\nAnswer: 75076*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4 = 3*h + 3, -3*u = 5*h + 19. Let n(m) = -u - 4*m**2 + m**2 - 2*m + 4*m + 4*m**2. Determine n(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 * 0.06\nAnswer: -1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -79, 0 in increasing order.\nAnswer: -79, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 1 - 5 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = -5*d + 132 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5, 29, 53, 77?\n\"Answer: 24*d - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/2 + 2945*x**3\/2 + 1445013*x**2 + 472036598*x - 473483084.\nAnswer: (x - 1)*(x + 982)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 5, 0.06, 129, -2, -9814?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.77602 + 11.17601936. Let z = 2.6 + -3. Let w = q + z. Round w to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 20*o**2 + 32*o - 36. What is the hundreds digit of c(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -11*f**6\/24 - 14*f**5\/3 - 115*f**4\/6 - 40*f**3 - 17*f**2 + 5*f. Factor k(c).\nAnswer: -5*(c + 2)**2*(11*c + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 31308300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + 1213?\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 8*c**2. Let u(q) = 15*q**2. Determine u(a(h)).\nAnswer: 960*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 1145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 0 + 5*o - 1\/2*o**3 - 3\/2*o**2. Let c(q) = -3*q - 4. Give -4*c(s) + 5*x(s).\nAnswer: -3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3586665 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3508208 divided by 14146.\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -12*t**3 - 1. Let i(a) = a**3 + 1. Let h(q) = q**2 + 637*q + 1271. Let k be h(-2). Calculate k*g(l) + 3*i(l).\nAnswer: -9*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 280 = -4*y. Let x = 35 - y. Solve x*s - 3*g = 3*s - 15, 19 = 5*s + 3*g for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**3 + 29*n**2 - 204*n + 539. What is c(-15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 10549.2 to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0*x)**(3\/14)\/((x\/x**(9\/2))\/(x\/(x\/(((x**(6\/11)*x)\/x)\/x)))))**(-5) assuming x is positive.\nAnswer: x**(-1255\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128800 divided by 12880.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -14785 at least -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44220 - -44220.42914. Let c = m - 0.43. Round c to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -106 - -109. Sort -2, 8, -5, f in descending order.\nAnswer: 8, f, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/4 (b) -4 (c) -168\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 18959006\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.5 + 1.2. Let z = p - 0.7. Put z, -0.5, -2\/15 in increasing order.\nAnswer: -0.5, -2\/15, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 519694 and 634?\nAnswer: 164742998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*s, 0 = -63*z + 64*z + s - 5 + 27 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1930*l**2*n**2 + 1147*l**2 + 5*l*n**4 + 8*l with respect to n.\nAnswer: 3860*l**2*n + 20*l*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 3 = d. Let x(r) = -3*r + d - 1. Let t(o) = 2*o**2 - o - 2. Let k(y) = -10*y**2 + 6*y + 12. Let c(j) = 2*k(j) + 12*t(j). What is x(c(z))?\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 - -0.7. Suppose 5*h = -300 - 200. Let j = 698\/7 + h. Which is the second smallest value? (a) 2\/5 (b) j (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 7*y. Let g be w(-7). Suppose g*s = 2*s - 200. Does 19 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g = -20*g + 14. Differentiate 102*v**4 - g + v - v - 104*v**4 with respect to v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 35\/10*220\/35. Solve 3*h = -5*t + k, 4*h = -3*t - 4 + 26 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 1. Let r = 907.87 + -908. Let k be ((-1)\/(-3))\/((-290)\/60 + 7). Which is the third smallest value? (a) r (b) k (c) j (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*i + 3*k = -448, k = -i + 96. Suppose -3*p + 13 = f - 0*p, -3*p - 82 = -4*f. Calculate the remainder when i is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1649192 is divided by 145?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -184464\/5 + 36892. Let y = 0.39 - -0.01. What is the closest to 3 in f, 1\/3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 125040376 - 179220141. Let h = 1192312739\/22 + f. Let q = -16272 + h. Find the common denominator of 15\/2 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = -9*z - 396. Let v(r) = -r**3 + 9*r**2 - 5*r - 2. Let g be v(8). What is the highest common factor of z and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 3242494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5 = -5*l - 0*l, -3*p + 15 = 0. Solve -y - 4*i + 54 - 72 = l, -5*y + 5*i = -35 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 0*v**2 + 7*v**3 - 9*v**3 - v**2 + 3*v**3 - 1. Let y(s) = -29*s**3 - 25*s**2 + 3*s + 5. Let r(k) = -2*g(k) - y(k). Suppose r(a) = 0. What is a?\nAnswer: -1, -1\/3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y - 2145 = -22*y. Does 23 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 214*y**5 - 34783*y**4\/2 + 184797*y**3\/2 + 618344*y**2 - 172090*y + 3000 = 0.\nAnswer: -4, 2\/107, 1\/4, 10, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*b**3 - 75*b**3 - 214*b**3 - 50*b**3.\nAnswer: -298*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2110111212 (base 4) to base 12\nAnswer: 253746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3 = 2*g - 3*g, -g + 3 = -5*c. Let f = 11 + -4. Let x(n) = n - 5. Let j be x(f). Solve -3*h + 4*y + 13 - j = c, -4*y = -2*h + 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35330717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 3*h**2 + 5*h - 2. Let g be o(4). Let f(y) = -y + 28. Let d be f(0). Let a = -12 + d. Calculate the highest common divisor of a and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 28943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 150*-0.16\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 150\/20 - 2\/(-4). Let w be ((-24)\/(-20))\/((-4)\/(-10)). Solve -k - w*k = -x for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 331*g + 5346. What is s(-16)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -5, -1\/6, -73, 209.\nAnswer: -73, -5, -0.4, -1\/6, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (442 - 442 - 23*a + (2 - 3 + 0)*(3*a - 2*a - 3*a))*(-6 - 3 + 2) as g*a + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -945 = 9*g - 900 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-115)\/5*27\/162*12\/2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 4)\/((-3)\/14). Suppose 0 = m + 2*z - j, 4*m - z = -0*m + 11. Suppose -s - 4*b = 4168 + 148, -16 = m*b. Round s to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 7*u = 1235, -4*q - 88 + 1298 = 2*u. Let w(b) = -b**2 + 9*b - 2. Let g be w(7). What is the greatest common divisor of q and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + -1 + 4 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rl when two letters picked without replacement from {s: 2, b: 6, j: 1, r: 7, l: 4}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-116)\/(-638))\/((-64)\/88))\/(3\/(12\/(-19)))?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-56)\/(-36))\/(-7))\/(4\/(-6)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 549423 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2561689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -51 + 883. Let m = -135 + a. Suppose 0 = 3*k - 0*k - 2*q - 67, 3*k - m = 5*q. What is the least common multiple of 30 and k?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 1999032?\nAnswer: 9995160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 23*v**2 + 102*v**2 + 15*v**2 to z*v**2 + g*v + a and give z.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c - 13. Let t be i(8). Let u be 4 + (-16)\/4 + t. Is u less than or equal to -2\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9135608 litres?\nAnswer: 913.5608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3*z + 3)*(5*z**2 - 4*z**2 + 3*z**2) + 4*z - 3*z**3 - 2*z + 2*z**3.\nAnswer: 11*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5989 and 1696.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -209a + 3?\nAnswer: -2097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2713420 divided by -135671.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 2:21 PM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.08 - 7.08. Let o = l - -8. Which is smaller: o or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3201 - 9*s**2 - 3201.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 365.\nAnswer: 4\/365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 152, 329, 556, 821, 1112, 1417, 1724?\nAnswer: 2021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -4, 0.62, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9458741.\nAnswer: 41, 281, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 4*r**2 - 11 - 4\/3*r**3 - 4*r. Determine o so that b(o) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3)*r)\/r**(-3\/5)*r**(-4)*r**(-1\/2)*((r**(-2\/3)*r)\/(r**(-1\/2)\/r*r))\/(((r**5\/r)\/r)\/((r*r*(r*r\/(r\/(r*r*r**(3\/7)))*r)\/r)\/r)) assuming r is positive.\nAnswer: r**(1\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**2 + 2*v**2 + 6*v**2 + 4 + 5*v + v**3. Let g be l(-10). Suppose 3*w + 5*m - 94 = 0, 0*m = -3*w + 3*m + g. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 - 76. Let a = -24.1 - i. Let y = 3.2 - 3. Is a > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**4\/8 - h**3\/3 + 7*h**2. What is o(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vjvjvjeejke. What is prob of picking 2 e, 1 j, and 1 v?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**6\/450 + 29*b**5\/300 - b**4\/4 + 19*b**3\/3 - b + 3. Let n(r) be the second derivative of c(r). Solve n(u) = 0.\nAnswer: -15, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -12*c + 183. Give l(12).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9536268 nanometers in kilometers?\nAnswer: 0.0000000000009536268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12000 (base 3) to base 13.\nAnswer: -a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**4 + 0*y**4 - 2*y**4)*(-16*y - y + 106 - 105).\nAnswer: 34*y**5 - 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72)\/sqrt(3) + sqrt(24))\/sqrt(12) + sqrt(2) + 1 + sqrt(8) + -1*sqrt(8) + -4)*-6)**2.\nAnswer: -648*sqrt(2) + 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l - 10. Let v be w(10). What is the units digit of 23 + -11 + (-3 - v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a minute in milliseconds?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**5 + 0*q**4 + 0*q**4 + 11*q**2 + 7*q**3 - 11*q**2 + q**5 - 3*q**5 + 4*q**5 + 0*q**5 + (-2*q + 3 - 3)*(0*q**2 + 0*q**2 - q**4).\nAnswer: 5*q**5 + 7*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, z: 2, k: 9, b: 1, h: 1, t: 1}. Give prob of sequence tbzb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, -75, 1, 2, -4.\nAnswer: -75, -67, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 + 234\/5. What is the biggest value in 5, 4, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 40*b**2 - 43*b - 152. Let x be g(-39). Suppose -x*s = -8*k + 4*k - 29600, -s = 3*k + 22200. Round k to the nearest 100.\nAnswer: -7400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/30*(-5)\/(-4). Let w = 0.1394 + -0.6394. What is the third smallest value in 3, k, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 169\/6 - 28. Let k be (8\/(-18))\/(340\/(-102)). Let m = 1 + 3. Which is the biggest value? (a) k (b) l (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, d: 1, i: 1, n: 1, k: 4, a: 4}. What is prob of sequence ad?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 10:39 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7925 is divided by 305?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 4 = 2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 9225120?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**2. Let b(j) = 16*j + 4412. Give b(u(f)).\nAnswer: -32*f**2 + 4412","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 - 38. Suppose 4*w + h*w = 0. Suppose -4*s + 3*s + 679 = w. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 12.76272 micrometers?\nAnswer: 0.01276272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(325) + 0 + -1)*4)*2.\nAnswer: -10 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-2) - (4 + -4). What is the smallest value in -1\/2, 0.2, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 16786*m**2 + 5*m + 10. Let b(t) = 1. Let d(j) = 4*b(j) + q(j). Let r be d(-14). What is r rounded to the nearest one hundred thousand?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8722739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 74, 68, 70, 86, 122, 184, 278?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*d + 2*i + 2212 = -23*d, 4*d - i - 2210 = 0. Calculate the highest common factor of 345 and d.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 27. Let t = 187917\/7 + -26845. Which is smaller: t or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5 = 0, -5*f + 4*f - 3*w + 27 = 0. Calculate the greatest common factor of 12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -14 + -12 + 12 + 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 511 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13873926.2 and -1.6.\nAnswer: -13873927.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a week in seconds?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14275.\nAnswer: 5, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -46550, -46537, -46516, -46487?\n\"Answer: 4*p**2 + p - 46555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n**2 - 26 + 49 - 445 - n**2 + n**4 as v*n + a*n**4 + y*n**3 + s*n**2 + o and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2 (b) -2\/11 (c) 4 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + 6*sqrt(17)*-2)*-4 + -3)**2.\nAnswer: -264*sqrt(17) + 32921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-25 - -69) - (0 - (-6 + 4)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**4\/9 - 344*c**3 - 3244*c**2\/9 + 12384*c + 12400 = 0. Calculate c.\nAnswer: -6, -1, 6, 775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 - (-6 - -10)) + 34\/1. Suppose 8*u + 4*u = c. Let 0 - 3\/4*x + 9\/4*x**2 + 3*x**u = 0. What is x?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27192*b - 5*b**2 - 172 - 2678*b**3 - 115 - 27192*b + 41 wrt b?\nAnswer: -16068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 686 + 51*m + 40*m**3 - 6601*m**5 - 687 + 35*m - 40*m**3 wrt m.\nAnswer: -132020*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.17598789 and 3?\nAnswer: -0.52796367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5472)*-1)\/((sqrt(24)*-1)\/sqrt(12)) - (-2*4*(sqrt(931) + -1 + sqrt(931)))**2.\nAnswer: -238400 + 1804*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8483 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(60) - (-2*sqrt(600) - sqrt(600))\/sqrt(10))\/((sqrt(1200) - (sqrt(1200) + (sqrt(1200)*2 + sqrt(1200) - sqrt(1200)))) + sqrt(48)*1).\nAnswer: -5*sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -119 - -117.87. Let i = j - -0.13. Let g = 9515 - 28547\/3. Which is the third biggest value? (a) g (b) 0.36 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 2*a + 2. Let d(j) = 12*j**2 + 27*j - 27. Let r(t) = 2*d(t) + 27*h(t). Let l(b) = 20*b + 35. Calculate r(l(m)).\nAnswer: -1200*m**2 - 4200*m - 3675","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = 7*h + 360. Let i be 6\/4*h\/36. Suppose 3*o + o = i*f + 77, o - 2*f - 17 = 0. Solve -3*x = -v + 1, 3 = 5*x + 2*v + o for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3964 divided by -1?\nAnswer: 3964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hss when three letters picked without replacement from {h: 1, s: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bi when two letters picked without replacement from {i: 1, k: 1, p: 2, b: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3 = 2. Is (2 - h)\/1*163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 10:54 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47396 is divided by 207?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2 + 22*t - 28. Let x be k(8). Solve 0 = -4*y - 16, 3*l + y = -y - x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 8:24 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 125*g**7\/42 - 10*g**6 + 7*g**5\/4 + 10*g**4 + 10*g**3\/3 + g + 991. Find c such that y(c) = 0.\nAnswer: -2\/5, -1\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 16*d - 215. Give t(0).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uhzzuuiiuguuzu. Give prob of picking 1 u, 1 g, 1 i, and 1 h.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, t: 4, o: 6, f: 3, q: 2}. Give prob of sequence of.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(288) + 1 + sqrt(288) + 1 + -4)**2 + (4*(5 + sqrt(18) + sqrt(2) - 5*(0 + sqrt(2))))**2.\nAnswer: -448*sqrt(2) + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 - 4*f**2 + 6*f**2 + (-f + 1 - 1)*(-3*f + 5*f + f) - 3*f**2 + 4*f**2 - 2*f**2 + 3*f**2 + 0*f**2 - 5*f**2)*(-f + 0 + 0).\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 9*w - 282. Is 22 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 463*k**3 - 9*k**2 + 3*k + 3. Let r(j) = -463*j**3 + 6*j**2 - 2*j - 2. What is -2*q(u) - 3*r(u)?\nAnswer: 463*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -108 - (-54144)\/504 - (1 + (-37243)\/(-7)). Is p less than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/8 and -44\/409?\nAnswer: 3272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/3483 and -39\/430.\nAnswer: 34830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4553, -4502, -4417, -4310, -4193, -4078, -3977, -3902?\nAnswer: -3865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.13 - -0.17. Let z = c - 7.04. What is the second biggest value in 0.5, z, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -115 + 120. Let n be (0\/1)\/(x*(-2)\/5). Solve 3*v - v - 2 = n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8994083 to the nearest 100000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + m**2)*(-24*m + 16*m - 4*m + (-3*m + 2 - 2)*(3 + 2 - 1)) in the form z + s*m**3 + f*m**2 + u*m and give s.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, -9\/23, 4, 2\/9, -4\/7.\nAnswer: -4\/7, -9\/23, 2\/9, 4\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 114\/4 + 1\/(-2). What is the greatest common factor of h and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**2 + 0*k**2 + 4 - k**2)*(0*k**2 + k**2 - 3*k**2) + (-5*k + k + k)*(2*k**3 - 4*k + 4*k) to i*k + v*k**2 + t*k**4 + f + o*k**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -r**5\/5 + r**4\/4 + r**3\/6 - r**2 + r. Let s be 273\/63*60\/130. Determine y(s).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 1232001221?\nAnswer: 1232001212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(2) + sqrt(4)\/sqrt(2) + sqrt(2)) - sqrt(2))**2 + sqrt(2) + -4 + sqrt(50).\nAnswer: 6*sqrt(2) + 334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, 5, 0.03, -0.03 in ascending order.\nAnswer: -6\/5, -0.03, 0.03, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.1 + 2. Let n = 3 + -2.9. Let h = -0.34 - -5.34. What is the nearest to v in 2, h, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.05982 and -81520676.\nAnswer: -81520675.94018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 655897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66800474 to the nearest integer?\nAnswer: 8173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -155 + 158. Let p(j) = 24*j + 18. What is the least common multiple of p(u) and 6?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.607 and 242.\nAnswer: 388.894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 11, g: 9}?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-30)*-1)\/(13\/(-39)). Let i = -2\/3 + 1\/2. Put f, 1\/3, i in descending order.\nAnswer: 1\/3, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.377 - 0.241\nAnswer: -0.618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -1\/30*x**5 + 0 + 1\/2*x**3 + 0*x**4 + 0*x + 4*x**2. Differentiate v(r) with respect to r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 615869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 128933875?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 7*l - 51. Calculate z(-3).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 66712994 divided by -33356497\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus -69551926783?\nAnswer: 69551926783.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-30))\/((-6)\/(-4)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -w**6\/18 - 8*w**3\/3 + 15*w. Let q(m) be the second derivative of n(m). Let a(v) = v. Give a(q(h)).\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -11*n + 1. Let i be l(-1). Let q = i - 8. Suppose 18 = q*h - h. Is 7 greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 5*o + 2. Let x be c(-3). Let v be ((-12)\/2)\/(6\/x). Solve 0 = -n + v*n - 2*t + 15, -5*n + t - 25 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y + 58. Let i be b(-8). Is i < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.56 + 26.56. Let z = y - 21. Put z, -0.2, -5 in decreasing order.\nAnswer: z, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 55*m + 788. Let c be b(-14). Solve o = 4*s + 15, o - c*s + 13 = -21*s for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29\/2 + -15. Let y be 7\/10 + 3\/(-6). What is the third biggest value in -5, y, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 9*h - 5. Let v be j(10). Suppose -7*w + 6*w + v = 0. Sort w, 3, -2 in descending order.\nAnswer: w, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 202046 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 5*s - 1. Let c = 17 + -16. Let b be (c\/(-1))\/((-6)\/42). Suppose -2*j + b*j = 4*l - 36, 3*j + 8 = -l. Give f(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*q + 132*q = -1. Let s(k) = -k + 1. Let u(d) = -30*d + 25. Give q*u(i) + 25*s(i).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 700 a factor of 200903361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13375, 2\/21, 17.9?\nAnswer: 17.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/15)*s*s)**(7\/2)\/(s**(-1\/2)\/s)**(-2\/11))**12 assuming s is positive.\nAnswer: s**(4132\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95, 92, 89, 86, 83, 80?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -843, 0.2, -27, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3311804*j**2 - 3*j + 3*j + 3311817*j**2.\nAnswer: 13*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*r - 15*r - 10*r - 4*r to b*r + m and give b.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1268?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -59578*q + 4706662. Determine w(79).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2. Let w be g(-4). What is the greatest common factor of w and 160?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1191 - 1191 - 573*n.\nAnswer: -573*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(2*j**2 - 9*j**2 + 6*j**2 - 30 + 2*j).\nAnswer: j**2 - 2*j + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5744*w + 1836*w = 116610 + 282308 + 116522 for w.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 6*c - 3. Let l be b(-17). Let x be 0\/(3\/((-3)\/2)). Suppose -f - f + 46 = x. Calculate the highest common factor of f and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.969 - 0.031. What is the fourth biggest value in b, 2\/179, -3, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-23)\/s)*s**5*s)\/(s**(-9))**8 assuming s is positive.\nAnswer: s**103","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*n**3 + 1 - 43*n + 119*n**3 + 43*n.\nAnswer: 322*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 - 15. Suppose -5*f + f = -104. Let d = f - s. Is -3 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6587537029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34102 + 34102.2. Which is the second smallest value? (a) 0 (b) -2\/7 (c) 0.08 (d) m (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2580*u**2 - 4*u + 1518. Let k(g) = 2581*g**2 - 6*g + 1516. Let w(q) = -2*k(q) + 3*o(q). Find the first derivative of w(b) wrt b.\nAnswer: 5156*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 734401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6337.66kg to nanograms.\nAnswer: 6337660000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) 0 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 192\/10 - 3\/15. Suppose -g = 2*a + 13, 8 + i = -4*a - 3*g. Let v = 10 + a. What is the highest common divisor of v and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*u + 40 = 0, 4*f + 3*u - 20 = 20. Suppose 0 = -v + 6*v - f. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -21*q + 84. Give c(-5).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5520?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 353 - 14803?\nAnswer: -14440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 442191360 divided by 4?\nAnswer: 110547840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002860777646 rounded to 7 decimal places?\nAnswer: -0.0000286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.9 + -6.1. Let d = i - -14.8. Let a = -4 - -4.4. Put -3, a, 0.2, d in increasing order.\nAnswer: -3, d, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6565048*f + 14*f**3 - 6565048*f.\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d**2 + 8*d - 26. Let b(c) = -5*c**2 - 7*c + 26. Let u(w) = 5*b(w) + 6*r(w). Let n be u(10). Solve 4*p + 0*p - n = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*f + 16735 = 0, -f + 6*f = -2*h + 6659. What is the thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -149, -148, -149, -152?\n\"Answer: -v**2 + 4*v - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 9) in base 5?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhh. What is prob of sequence hhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 18*h**2 - 4. Let o(a) = 4*a**2 + a - 1. What is -3*o(l) + p(l)?\nAnswer: 6*l**2 - 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 - -9. Let w be (-2)\/(-2 + r\/(-5)). What is the closest to -0.1 in -2\/11, w, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -727 - -727.4. What is the biggest value in -4, o, -3, -8\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -34. Suppose 20 = 3*b - g*b - h, b = 5*h - 4. Let k be (-2)\/1*b*5\/10. Solve -k*w + 4 = -4*y, -5*y - 5 = -y - 5*w for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4543 less than -4544?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) - (sqrt(315)*3)\/sqrt(9))\/(-4*(sqrt(10)\/sqrt(2) + sqrt(5))))**2.\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 7061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - (2 + -2))*1. Suppose -q*p + 15 = p. Suppose 4*o + 4 = 4*a, 0*a = -5*o + p*a - 3. Solve 4*r + o - 3 = 5*z, 5*z - 5*r + 5 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1072578 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (21 + (-606)\/30)\/(6\/(-5)). What is the third smallest value in a, -0.1, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -37. What is the remainder when 23 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (142\/(-136) + 1)*(1125\/(-270) - -9) and -27\/388.\nAnswer: 13192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/56)\/((-3*1)\/21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2843662 to the power of 1\/2, to the nearest integer?\nAnswer: 1686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 6)*(n + 3*n - 5*n)*(-554 - 316 - 481)*(-2 + 0 + 1).\nAnswer: -1351*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l - 3*l**3 - l**3 + 2*l**2 + 9 - 2*l**4 - l**2 - 10 to u*l**4 + d*l**2 + r*l**3 + g*l + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -3*o + 2*o + f, 0 = -5*o - 3*f + 672. What are the prime factors of o?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrprprpppprrrrprrpp. What is prob of picking 2 r and 1 p?\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 6 + (2 + 0 - 1)*(-1 + 2 + 1) - 4 - 1 + 4 + 3 - 3 - 1 + 4 - 1 - 4 + 0 + 0 + 2 + (2 - 4 + 3)*(-3 + 4 - 3) + 1 + 0 + 1 - 3 + 0 + 2)*(-2 + 2 - 2*c).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.43 + -1.373. Let p = j + 0.043. Which is the nearest to p? (a) 2 (b) -16 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7087715.99999 - 7087803. Let a = 87 + j. What is a rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*(1 + (sqrt(1216) - (sqrt(1216) + sqrt(1216) + 0 + sqrt(1216))))*-2)**2.\nAnswer: -12800*sqrt(19) + 1946000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*j - 4*j + 5104 = 0. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16420*k - 1017 = -17367*k - 42685 for k.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*u + 22*u + 9*u in the form x*u + s and give x.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0)**(1\/2)\/((n\/((n\/(n\/(n*n**(-6))))\/n)*n*n)\/((n\/n**0)\/n))*(n**(-1)\/n**3)\/(n\/n**(-7)*n**(3\/2)*n*n*n) assuming n is positive.\nAnswer: n**(-51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2295, -2\/5, 139, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3133248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*u - 17*u**5 - 3*u - 18*u**5 + 9*u**2 wrt u.\nAnswer: -2100*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 98956?\nAnswer: 98959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0.5. Let j = 166.1 - 180. Let l = -14 - j. Which is the closest to l? (a) 2 (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 49.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -104*h**2 + 980*h - 2136 = 0.\nAnswer: 89\/26, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-598)\/(-897))\/(1 + (-13)\/21). Put 0.09, m, 15\/2 in decreasing order.\nAnswer: 15\/2, m, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.3 (b) 2\/433 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 28*f. Let z(p) be the third derivative of -11*p**5\/60 + 9*p**2 - 20*p. Give z(h(y)).\nAnswer: -8624*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -248, -2550, -8954, -21512, -42276?\n\"Answer: -342*m**3 + m**2 + 89*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1653\/(-285) - 2\/10)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.342 - -45.472. What is a rounded to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((5\/7)\/1)\/(108\/(-126))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -115 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 211 and -0.3.\nAnswer: -63.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 5, -728, 0, 643, -3 in ascending order.\nAnswer: -728, -3, 0, 5, 7, 643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from thiytthyt. What is prob of picking 1 t, 1 i, and 1 h?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**3 - r**3 + 5*r**2 - 7 + 2*r - 4*r. Let g be f(-5). Let s(h) = 2*h**2 - 2*h - 3. Calculate the remainder when 17 is divided by s(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 54*o - 86*o = 568 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 6764*f + 6112. Let s(c) = 27072*c + 24449. Let t(i) = -2*s(i) + 9*u(i). Find the first derivative of t(p) wrt p.\nAnswer: 6732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 3*c - 9. Let x be z(-5). Solve -2*l - x = 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*l**4 + 9*l**4 + 8*l**4 + (0*l + 3*l - 2*l)*(-l**3 - l**3 + 4*l**3))*((-2*l + 3*l + 0*l)*(2 - 3 - 3) - 2 + 2 - l)*(-10 + 21 + 12).\nAnswer: -1380*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 19 = -2*j - 3*y, -2 = -2*y. Let r(b) = -2*b**2 - 3*b + 1. Let n be r(3). Let m = 40 + n. What is the greatest common factor of m and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -1\/8, -178, 0.4, -0.09?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4379342132.\nAnswer: 2, 11, 99530503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 42 times -0.05\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-210)\/(-60)*6\/(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22771907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i - 5. Let f(g) = 4*g + 4. Let n(c) = -4*f(c) - 3*t(c). Let b be n(-2). Let r = -7 + b. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 6*k**2 + 4*k + 4. Determine v(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 v when three letters picked without replacement from {r: 2, v: 3, k: 2, q: 1, s: 2, j: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**0*d)**39*d**(-11)*d\/d**7)**(4\/25))**(-45) assuming d is positive.\nAnswer: d**(-2196\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 + ((-44)\/11 - -15). Solve 0 = 25*m - g - 31 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 49.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 34, -3, -2\/13?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 5*y + 32, n - 3*y - 32 = -4. Suppose -n = -2*h - 84. Is -31 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 1.1 (c) -42 (d) 0.3 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/(-21) + (-385)\/(-84). What is the nearest to 3 in n, 1, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 88 = -4*x, -2*o - o = -x + 24. Let b = 47 - x. What is the remainder when 75 is divided by b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3)*(-537 - -570)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.026 - -1.526. Which is greater: -2\/7 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 76.03337 minutes?\nAnswer: 4562002.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 1\/4*t**2 - 11 - 7\/4*t = 0.\nAnswer: -4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2408 = -3092. Let k = t + -226. Suppose 15\/4*n**k - 63\/8*n - 9\/8*n**4 - 3\/8*n**5 + 9\/4*n**3 + 27\/8 = 0. Calculate n.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 = 9*k - 82. Solve -61*j = -67*j - k for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.016501782 to four decimal places.\nAnswer: 0.0165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1259*d**3 - 1429*d**3 + 6937*d**3 - 2298*d**3.\nAnswer: 1951*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 374*q**2 - 738*q**2 + 370*q**2 - 2*q**3 + q in the form a*q + d*q**2 + l + t*q**3 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 36085606 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g - 37. Let a be u(-13). Suppose 8 + 8 = -a*s. Which is bigger: s or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -85*j**3 + 4*j + 5. Let p(f) = f**2 - 9*f - 28. Let l be p(12). Suppose -l = -2*h + 6*h. Is z(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 24 = -4*y, 0*l - 5*l + 16 = y. Let w(a) = a**2 + 12. Let v(x) = -9*x**2 - 99. Let i(p) = y*v(p) - 33*w(p). Let z(d) = d. Determine z(i(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.118312 to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of n**2\/2 - 4*n - 1. Let s be m(6). Suppose -x = 2*x + 3*b - 33, 0 = s*x + 4*b - 22. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40626502 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + -8)\/(6\/273). What is the common denominator of (3\/45)\/(1379\/b - -5) and 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2317 and 5.\nAnswer: 2322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 301*w**2 - 19*w**4 - 120*w**3 - 471*w**2 - 30 - 5*w**5 - 21*w**4 - 115*w.\nAnswer: -5*(w + 1)**3*(w + 2)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.36? (a) 0.05 (b) -1\/5 (c) 2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 153916312 to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 156 and 372?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 18072. Let g(x) = -31*x + 3. Give y(g(u)).\nAnswer: 961*u**2 - 186*u - 18063","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z**2 + 95*z + 401. Let t be h(-4). Put 1\/12, 2\/7, t, 1\/4 in increasing order.\nAnswer: t, 1\/12, 1\/4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 799? (a) 4 (b) 7\/5 (c) 0.3 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11205 (base 7) in base 4?\nAnswer: 230133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 240\/(-40)*2*-1*(-3)\/(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 4. Let l be d(4). What is the units digit of (l + 9\/6)*136\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297435 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9093, 36134, 81197, 144282, 225389, 324518, 441669?\nAnswer: 576842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 minus 10015533?\nAnswer: -10015564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -18*h + 131*h**2 - 34*h**2 - 98*h**2 - 17 = 0.\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y - 255 + 199 = -4*k, k = -5*y + 36 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(108) - sqrt(108)*-1).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-474)\/(-7))\/((-65)\/91). Let s = 95 + a. Let p = 0.7 - 0.2. What is the second smallest value in s, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 15*o**3 + 45*o**2 - 45*o. Let r(g) = g**2 - g. Give -2*h(c) + 90*r(c).\nAnswer: -30*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhhdhdhhxd. What is prob of picking 1 d and 1 h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.1746*-414.51\nAnswer: -72.373446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*w + 31 - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/91, -1\/5, -3, -5, 0, -0.1 in descending order.\nAnswer: 0, -0.1, -11\/91, -1\/5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 6*u - 188. Are u and -48 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (-6)\/(-2) - 1. Suppose 4*w + z*c = -28, -18 = 5*w - 2*c + 26. Let h be (-2)\/w*4 - -13. Solve h = -2*m - 3*f, -2*m - f = -6*m - 14 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.76 or 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 614897?\nAnswer: 19, 32363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -159 - -93. Let h = n - -563. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36*((-12188)\/(-330)*(-27)\/72 - -14)\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8066*2.3\nAnswer: 18551.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 29 = 5*n, -3*s - 5 = -n - 4*s. Let a(m) = -2 + 2*m**2 - 8*m - 2*m**2 + 4*m**2 + 0*m - 3*m**2. Calculate a(n).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2085, 9034, 25701, 56946, 107629?\nAnswer: 182610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - i = 8, -2*c + 4*i - 16 = 2*c. Let q be c\/(-4) + (-4)\/(8\/6). Sort -0.01, q, -5 in ascending order.\nAnswer: -5, q, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, n: 4, c: 4, t: 2, u: 1}. What is prob of sequence pucp?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10 times 9926\nAnswer: -99260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 10, q: 9}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/104*804\/7839*-260\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b**3 + b**2 - b. Let m be h(-1). Suppose 3*z - 7*z + 216 = 3*q, -2*q - 270 = -m*z. Is 16 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(-1))\/a**(-2\/23)*a**(7\/4)\/(a*a\/a**(-9)*a))**(-20) assuming a is positive.\nAnswer: a**(4215\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(16)\/(sqrt(16)\/sqrt(2)) + sqrt(2) + 2 + -1*sqrt(2))*5 - -2*(sqrt(1152)*1 + 3)**2.\nAnswer: 273*sqrt(2) + 2292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -7*k + 48. Let t be y(12). What is the tens digit of (4149\/t)\/((-3)\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**3\/3 - 217*q**2\/3 - 72*q = 0.\nAnswer: -216, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 7 + 8 + 19*p.\nAnswer: 19*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 282*s - 16439. What is d(62)?\nAnswer: 1045","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -593, -596, -599, -602?\n\"Answer: -3*t - 590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - s + 2975 = 0, 2*m - 5942 = -2*s - 2*s. What are the prime factors of (-1)\/(-4) - m\/(-36)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 3*y + 2*m + 60, -y = 4*m - 6. Let c = y + 3. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 7*i + 0 - 4*i)*(-2*i - 2*i + i).\nAnswer: -9*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*i - 8251 = -8134 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (3584\/588)\/64 - 5\/1260*339\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - y)*(-1 + 0 + 2)*(-13*y**2 - 2*y**2 + 2*y**2).\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/27 and -56\/183?\nAnswer: 1647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/1825135 and -20\/532574393.\nAnswer: 2662871965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -12*o + 111. Let d be k(9). Suppose 1 = -n + 3. Sort d, 0, n, -3 in descending order.\nAnswer: d, n, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 593592.\nAnswer: 2, 3, 24733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 + 0 + 4 + 7 - 2 + 2 - 1 + 1 + 3 + 0 - 2 - 2 - 3 + 3 + (-1 + 1 - 2)*(2 - 2 - 2))*(26 + 44 + 36)*(-4*o + o + 6*o) to the form u + x*o and give x.\nAnswer: 4770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s**3\/6 + s**2\/2 + 1983*s. Let c(h) = h**2 - 7*h + 7. Let t be c(5). Let g(k) = k + 2. Let l be g(t). Calculate o(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -30, -29, -28, -27, -26, -25?\n\"Answer: w - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 19*b**2 - 29*b + 49. List the prime factors of l(23).\nAnswer: 2, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, o: 5, h: 3}. Give prob of sequence ho.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -d - 20. Let p = -49 - d. Let i be 1\/((3 - 18)\/p). Put i, -2, -0.06 in ascending order.\nAnswer: -2, i, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*v**5 - 11640*v**4 - 11925714*v**3\/7 - 173595432*v**2\/7 - 6981357*v - 3473328\/7 = 0 for v.\nAnswer: -269, -16, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n + 11*n - 7*n + 4*n**2.\nAnswer: 4*n**2 + 10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2782 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 665 divide 506068325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/(p*p\/(p**(1\/3)*p*p)*p)*p*p*p)\/p)\/((p\/(p**(-2\/13)*p))\/p*p)*p\/(p**(-2)\/p)*p*p**7)**(-1\/7) assuming p is positive.\nAnswer: p**(-592\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19163, -38325, -57487, -76649, -95811?\nAnswer: -114973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 6. Let t(v) = -6*v**3 - v**2 - v - 1. Let s be t(-1). Suppose s*z + 23 + 7 = 0. Let l be q(z). Let f(a) = a**2 + a - 5. Determine f(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -v + 4*l, 3*v + 1 = -3*l + 13. Suppose -3*y + 2*p + 313 = 0, 1 - v = -5*p. What are the prime factors of y?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 271518 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0554 - -15.0554. Which is the nearest to u? (a) 1 (b) 3\/5 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1128.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n - 13. Let l be h(-6). Solve 5*a - 5*w = -l, 4*w + 5 = -2*a + 5*w for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) 0.4 (c) -0.2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2669598545 rounded to three decimal places?\nAnswer: -0.267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 28 + 6 - 8)*(2*z + 10*z + z).\nAnswer: 377*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 8638 divide 541213890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by 31?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 3 - (1 - -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4478 - 4514. Which is the second smallest value? (a) l (b) -5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*l - 154*l**2 + 388*l**2 - 242*l**2 - 15*l.\nAnswer: -8*l**2 - 75*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 1486 = 2*o - 5*k, -4*o + 2*k + 2982 = 0. Let a = o - -193. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -35 + -a1b0?\nAnswer: -a225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**5 - 6*p**3 + 6*p**3 + (12*p**4 - 4*p**4 - 22*p**4)*(-25 + 25 + 3*p).\nAnswer: -44*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27378521111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**2 + 153\/2*h - 39 = 0. What is h?\nAnswer: -26, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 1. Suppose 0 = 3*j - 5*p - 432, -2*j + x*p = -0*p - 288. Let y = -2 - -18. What is the greatest common factor of y and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -k - 1, -16 = -2*k - 2*k - g. What is the closest to -0.1 in -2\/19, k, 0?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 - -40. Is 45 + -2 + -1 + z a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 9 - (-63 - ((14 - 23) + -2))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4478 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 39 = -5*z. What is the remainder when 50 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100202110222 (base 3) to base 8\nAnswer: 567115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 74471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 297*z**2 - 21*z - 81. Let p be n(-4). Suppose 48*a - 51*a = -p. List the prime factors of a.\nAnswer: 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 50 = 5*s, -2*h = -4*s + 19 - 5. Let j = 9 + h. Let u be (0 - -2) + (-32)\/18. Which is the smallest value? (a) u (b) -0.1 (c) j (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 0.62343?\nAnswer: -0.62343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41816*b**3 - 17310279*b**3 - 15248818*b**3.\nAnswer: -32600913*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 17*c**2 + 16*c + 2. Let o be h(-16). Suppose 0 = -o*f + 8, -3*u + 5*f - 20 = -4*u. Let g(l) = -l**3 + 299. Is g(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + 6*d**2 + 0*d**2)*(4*d**2 - 4*d**2 - 2*d**2) - 2 + 3*d**4 + 0 - 2*d**4.\nAnswer: -7*d**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q - 3. Suppose 4*k - 27 + 7 = 0. Suppose -g - 8 - 11 = 2*w, 6 = -2*g. Let s(v) = -2*v - 5. What is k*s(c) + w*p(c)?\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6710 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -31*j - 36 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((11 - 1) + (14 - -1) + (32 - 50))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + f. Let j(u) = 2*u**3 - u. Let k be 0*((-6)\/4 - -1). Suppose k = -q - 1 - 1. Let m = 0 + q. What is m*j(g) - 2*r(g)?\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*d - 21, 2*d - 4*y = -0 + 4. Let v(a) = -a**2 - 6*a + 7. Let q be v(-7). Determine m, given that -1\/4*m + q - 1\/4*m**2 + 1\/4*m**3 + 1\/4*m**d = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 26087 and -155?\nAnswer: 26242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 224 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48.9 + -6.9. Let d = k + -42.5. Put -2\/3, 1, d in descending order.\nAnswer: 1, d, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(15\/18*2). What is the third smallest value in u, 2\/9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 + 8*g**3 + 2*g**2 - 382*g + 392*g - 3 + 12*g**3 as t*g + o + a*g**2 + j*g**3 and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q - 8. Suppose -2*g = 4*g - 30. Let p be w(g). Factor 4\/3 + p*s + 2\/3*s**2.\nAnswer: 2*(s + 1)*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b4 (base 14) to base 3.\nAnswer: -12212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9151928 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.352 in -2\/9, 5, 2, 1, -0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 512594 and 512594 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2619093363 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 170 + -166. What is the second biggest value in 1, -9\/4, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6000 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dpidpzddipp. What is prob of sequence ii?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 236*f + 159 + 149 - 302 as a*f + k and give a.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g - 57*g**3 + 34*g**3 + 30*g**3.\nAnswer: 7*g**3 + 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 7*k. Suppose l - 2*l + 5 = k. Find the second derivative of 111*b**4 - b**l + 8*b - 111*b**4 wrt b.\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -4\/3*y**3 + 0 - 3*y**2 - 6*y - 1\/12*y**4. What is the units digit of q(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (482 - 482 + 48*q)*(3 - 3 + 2).\nAnswer: 96*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2632 is divided by 1129?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 2 - 3)*(-2 - 5 + 6) - 4 + 2 + 1 + (-2 - 3 + 3)*(-3 + 0 + 1) + 0 - 6 + 2)*(-50*j - 65 + 65) in the form m + r*j and give r.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0.06 (c) -136 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**4\/4 - 105659*h**3 - 22328705127*h**2\/2 - 111635601335*h - 1116329599225\/4 = 0.\nAnswer: -211313, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + x**2 + 5)*(0 + 0 - 2*x**2 + (-4 + 2*x + 4)*(-x - 4*x + 7*x)*(3 - 7 + 1)) to the form n + t*x + g*x**4 + u*x**3 + c*x**2 and give c.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41\/3 + -40\/3. Let u = -5 + 5.2. What is the closest to u in w, 1, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.012 (b) -3 (c) -0.4 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*l - 0*l + 5*q, -5*l = -2*q + 8. What is the closest to 3\/2 in l, -2\/19, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*g = -21*g - 152. Solve -2*c = 5*z - 12, 4*c + 5 = g*z + 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g**2 - 4*g**2 + g**2)*((2 - 4 + 1)*(-2 - 2 - 12) - 4 + 3 + 4) to t*g + w + p*g**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, w: 3}. What is prob of picking 3 b and 1 w?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 62?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2315.5 + -2316. Let l(k) = 2*k**2 - 2*k - 3. Let v be l(-2). Suppose 4*c = -v + 1. Sort -2\/37, w, c in ascending order.\nAnswer: c, w, -2\/37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 1. Let v be (q\/5)\/((-7)\/175). Is v bigger than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + w = -3*w + 21, -g + 4*w = 15. Is 1 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wz when two letters picked without replacement from zwwwxxzzzzlwwuz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 3:13 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -199 + -7?\nAnswer: -1a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4961 - 4991. Put -2, g, -5, -3 in descending order.\nAnswer: -2, -3, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -44767974\/11 and -4069815 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/5 - (-336)\/(-35). Is 2\/z - 343824\/(-145) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.244039 and -7.56?\nAnswer: -1.84493484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkkkk. What is prob of picking 4 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from jjjppjjjjpjjjj.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k**4 - 73662406*k**3\/7 - 103478006*k**2\/7 - 26307956*k\/7 + 501104 = 0. Calculate k.\nAnswer: -876932, -1, -1\/2, 2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 871843712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -65014660 (base 7) in base 13?\nAnswer: -11b9936","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 2*x + 463*x**3 + 15.\nAnswer: 463*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 64125, 128362, 192715, 257184?\n\"Answer: 58*p**2 + 64063*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k - 7. Let p be x(4). Calculate the greatest common factor of 8 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*o**2 + 168*o**2 - 54*o + 5*o**3 - 299*o**2.\nAnswer: 5*o**3 - 54*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.64? (a) -2 (b) -1 (c) 6\/5 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.5 + 15. Let f = -967\/24 + 325\/8. Let p be (-1 - -2)*3\/(-9). What is the nearest to 1 in x, p, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b. Let i be k(2). Suppose -4*p - i = -14. Let r(n) = -n**2 - 11*n + 15. Let q be r(-12). Solve p*d - d = -x, q*d - x = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1271 and 2406158.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 4*p**2 - 6*p + 3. Let d be k(5). Sort 5, d, 1 in ascending order.\nAnswer: d, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/11, 5\/6, -0.2, 0.03?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 2:00 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q + 86. What is c(-7)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 594 and 1998.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 1. Let m(v) = -3*v + 2. Let c(k) = -k. Let z be 22 - (-236 + -2)\/(-17) - 8\/(8\/9). Give i*c(q) + z*m(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1527930731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 24*z - 6*z**2 + 2\/3*z**3 = 0. Calculate z.\nAnswer: -3, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4 (b) -2 (c) 2\/27 (d) -4.9 (e) 0.06 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*g + 10 = 160*g, 0 = -2*f - g + 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 438267 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28756598 a multiple of 1898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 293. Calculate the remainder when t(-23) is divided by 10\/30 - 232\/(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -a**5\/20 - a**4\/4 + a**3\/2 + a**2\/2 + 6*a. Let p be 2\/(1 + -3 + 1). Calculate y(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 191.7 * -0.02\nAnswer: -3.834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 8*o + 3*h - 8 = 0, 0 = -4*o + 4*h - 8. Let q(f) = 260*f + 5. Let j(l) = -520*l - 11. Let p(m) = -2*j(m) - 5*q(m). Is p(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 14*n**2 + 31*n - 11. What is f(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -6 + 3. Suppose 2*t**4 + 2*t**3 + t**3 - t**2 + 2 - i*t - 3*t**4 = 0. What is t?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 19*a**2. Let v(h) = 887*h. Determine k(v(x)).\nAnswer: 14948611*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 9*f - 1. Let p be g(-8). Let q be (-8)\/(-6) + 3\/p. Let y be ((-2)\/(-8))\/((-4)\/24). Sort y, q, -2 in decreasing order.\nAnswer: q, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -169, -217, -297, -409, -553?\n\"Answer: -16*n**2 - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1589*f**3 + 0*f + 3*f - 2971*f**3.\nAnswer: -1382*f**3 + 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -148827.2 * -84.\nAnswer: 12501484.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*a - 21*a = -19418 + 18422 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/6)\/((-1)\/4). Let n be (-10)\/(-55) + z\/(-11). Suppose 93 = 3*l - n*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 36\/3)*-1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 3*m + 2*m)*(674 - 1167 + 649).\nAnswer: 312*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -76?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2.550671 micrograms?\nAnswer: 2550.671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78168126 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 35 + 1 = 4*j, 0 = -4*j - 3*s + 36. Let p = -17 - -20. Solve p*z + 3 = -j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -189 - -189.2. Which is the closest to 0? (a) l (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212360.8 kilograms in milligrams?\nAnswer: 212360800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + v + 0*v - 87 + 2*v.\nAnswer: v - 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18922*i*n**3 + 16*i*n**2 + 1258*i*n + 676*n**4 + 5*n**3 - 122*n**2 + 20 wrt n.\nAnswer: 113532*i + 16224*n + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 + 3 - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7*1*13128174\/4599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**2\/3 + 197*t\/6 + 49\/6 = 0.\nAnswer: -49, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*m - 10. Let k = 2.898 + 0.182. Let j = 0.08 - k. Which is the biggest value? (a) m (b) -2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 486 and 515?\nAnswer: 250290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -287302 (base 9) to base 11.\nAnswer: -110200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 10*d - 65. Let t = d + -22. Let c = t - -19. Calculate the highest common divisor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 231, -21, -273, -525, -777, -1029?\n\"Answer: -252*p + 483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**7\/21 + q**4\/24 - 10*q**2. What is the second derivative of i(x) wrt x?\nAnswer: 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-1))\/(1\/(36\/24)). What is the third biggest value in q, -2.01, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -6 + (-84 - -72).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027333529 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.11974 in 2, 0.4, 5, -1, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*v - 28 = 0, -2*m + 4 = m - 5*v. Let r be 6*m\/(-84) + 946\/14. Let o = 64 + r. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 8 + -1 + (59 - 67)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/((-28)\/343*-6) and 73\/96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 976736 and 204098?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19736.6*-287.\nAnswer: 5664404.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -351690 divided by -6.\nAnswer: 58615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**3 + 3*u**2 - 2*u + 9. Let c be z(-5). Let d = 158 + c. Solve -15 = 3*w, d*k - 18 + 1 = 3*w for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*w + 63 + 17. Suppose -w*k + 21787 = 1479. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4732 = 4*c - n - 4771, -18 = -c + 3*n for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(440)\/(-3*sqrt(11) - sqrt(11)))\/((sqrt(56) - -2*sqrt(56))\/sqrt(7) - sqrt(8))*3*6.\nAnswer: 45*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8 - (19 - 12) - 4*-1. Let i be 10\/4*-2*(-3)\/z. Find l, given that -1\/4*l**4 + 5\/4*l**i - 9\/4*l**2 - 1\/2 + 7\/4*l = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 144 + -2954a?\nAnswer: -29406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-495)\/(-6))\/(-11))\/(6\/(-16)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 5*m**2 - 12*m - 11. List the prime factors of y(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -332, -335, -340, -347, -356, -367, -380?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s + 168. Let v(m) = 4*m - 6278. What is v(u(c))?\nAnswer: 12*c - 5606","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 3787.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u**2 - 26*u + 4. Let t(m) = -2*m - 1. Let q(b) = s(b) + t(b). Let f = 13 + -29. Is q(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 18 = 2*n, 67 = 3*n + p + 75. Let d(s) = -2*s**2 - 62*s - 61. Give d(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 651735258 and 186?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 - 2*y + 2*y + 2 - 2 - y**3 + (2 - 2 + 2*y)*(1 - 1 - y**2) + 89*y - 83*y**3 - 110*y**3 + 183*y**3.\nAnswer: -14*y**3 + 89*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2451374753 to the nearest one million.\nAnswer: -2451000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*s = 195039 - 220911. Calculate the smallest common multiple of s and 3696.\nAnswer: 25872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18445, 18382, 18315, 18244, 18169?\nAnswer: 18090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4302506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 672 and 616.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 - 4 + 9 - 6.\nAnswer: 2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3604 + 1017. Is 29 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k. Let g be w(1). What are the prime factors of (-6)\/8 + (-43)\/g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 333153 and 736227.\nAnswer: 4113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fzzf. Give prob of picking 1 z and 3 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28497 and 207?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11011*h - 798 = 11053*h for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7357 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 232331846*y + 295313300.\nAnswer: 232331846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71432486159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9499664 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 + -1. Let t = 0.5 + y. Let b = t - -1. Is 0 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 7:00 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1968 and -4?\nAnswer: 4.7872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*w = -21, 0 = r - 5*w - 8 - 4. Let p be 6\/(-3)*r\/2. Find the third derivative of -2*v**3 + 0*v**2 - p*v**2 - v**3 + 0*v**2 wrt v.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -443412444 (base 5) in base 3?\nAnswer: -10122022211112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1673, 6485, 14499, 25709, 40109, 57693?\nAnswer: 78455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**3 - 18*x**2 + x + 11. Let t be c(9). Is (-4)\/(-16)*-1 - (-411465)\/t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4274473811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**3 + 2*c**3 + c**3)*(6*c - 4*c + 0*c) + (-5*c + 3*c - 2*c)*(13*c**3 - 25*c**3 - 7*c**3) + (-3*c**4 - 2*c**4 + 7*c**4)*(-3 + 3 + 1).\nAnswer: 80*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1353338, -2706342, -4059346, -5412350, -6765354, -8118358?\nAnswer: -9471362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h**2*j + 706*h**2 + 3*h + 246*j wrt j?\nAnswer: 2*h**2 + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -721628.\nAnswer: -721628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -137 - -186. Calculate the remainder when 100 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-two fifths of a centimeter?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -6*t + 2*t + 381 - 381. Let q(i) = 7*i**2. Determine w(q(a)).\nAnswer: -28*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*((l\/l**1*l)\/l*l)\/l)\/(l*l**(2\/17)))\/(l**6*l**(-2\/9))*(l**(-1\/7)\/(l*l*l**6))\/(l**(-1)*l)**48 assuming l is positive.\nAnswer: l**(-15035\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9883699?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11757.\nAnswer: 3, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -25. What is the remainder when 23 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b**3 - b**2 - 9*b - 14. Let o be j(-3). Let t = o + -135. Let y(a) = -a - 7. Let f be y(-4). Sort f, -5, t.\nAnswer: -5, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/411 and 36\/2329.\nAnswer: 6987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/5)\/((-13733)\/(-2215))?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 104717373?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k**2 + 2*k. Let m(f) = 18*f**2 + 11*f. Let i(b) = -35*b**2 - 22*b. Let o(j) = 2*i(j) + 5*m(j). Determine 2*o(r) - 11*s(r).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 + 4*n - 5. Let f be w(-4). Let b(q) = -30*q + 45. Let m(t) = -46*t + 68. Let h(v) = 20*b(v) - 13*m(v). What is h(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20 + 106.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/10)\/(322\/4025)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 5*f**2 - 4*f**2 - 3 + 2*f. Let u be m(-3). Calculate the lowest common multiple of 4 and (-58)\/u - 10\/(-15).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37261873?\nAnswer: 11, 3387443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + sqrt(7)*-1 + -3.\nAnswer: -sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g**3 - g**2 + g. Let t be h(1). Let i = 5 + t. Let l(b) = i*b**2 + b**2 - 4*b**2 + 3 - 1. Let z(c) = -3*c**2 + 5. What is -5*l(j) + 2*z(j)?\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**6*d)\/d)\/d)\/(d\/(d\/d**6)))\/((d*d*d\/(d**6\/d*d*d)*d)\/d**(3\/2)) assuming d is positive.\nAnswer: d**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.286, -2, 10\/3 in descending order.\nAnswer: 7.286, 10\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-255990)\/(-3710) + (10\/(10\/(-3)) - (-2 + 4)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3*j**2 - 45078*j - 16286361 = 0.\nAnswer: -353, 15379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.13482962892 and -7.\nAnswer: -6.86517037108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 28*x**2 + 3*x + 2. Is 3 a factor of f(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvszs. Give prob of sequence zv.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 6) to base 2\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 7. Let x = 13 - 18. Let p be o(x). Suppose 5*c = 3*a + 109, -2*a + 8 = -p*c + 50. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199 + 199 = 9*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2303147 or -2303148?\nAnswer: -2303148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.198251 * -110\nAnswer: 21.80761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 + 12 = 27*a + 361 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.269 - 0.069. Which is the smallest value? (a) 4 (b) l (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69 or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -11*s**6\/24 - s**5\/20 - 409*s**4\/24 + 666*s**2. What is the second derivative of k(m) wrt m?\nAnswer: -330*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 6*g**2 + g + 29. Let m be y(-5). Let c(u) = -u**3 - u**2 - u. Calculate c(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -892 - -893. Let x = -5\/8 - -9\/40. What is the nearest to k in 1\/8, x, -2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/9 - (-60)\/9. Let a(n) = 8*n**2 + 2*n + 8. Let x(u) = 7 + 6*u**2 - 5*u**2 + 2*u + 6*u**2. Determine z*x(q) - 6*a(q).\nAnswer: q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a + 11. Suppose 3 - 11 = u. Let w be j(u). Determine m, given that -1\/5*m**w + 0*m**2 + 3\/5*m - 2\/5 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -8. Suppose 6 = g*m - 79. What is the remainder when 49 is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116381496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, x: 2}. What is prob of picking 2 x and 2 i?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/16 of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 0*d - d**2 + 2*d**2 + 0*d. Let y(u) be the second derivative of 0 - 1\/6*u**4 + 3*u + 0*u**3 + 0*u**2. Calculate y(p(r)).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/14 and (1105\/(-1768))\/(-2 - 103\/(-68))?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*l + l - 5 + 15*l + 4 as v + s*l and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7 - 3 - 1)*(-18 - 0). Let v be 2*(-423633)\/m + 3*1. Let s = v - -4277. Calculate the common denominator of 109\/30 and s.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69, -1, 0, -111, 1.\nAnswer: -111, -1, 0, 1, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20108 is divided by 91?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 162517.4 weeks?\nAnswer: 98290523520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3375320 divided by 843830.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108 and 1107036.\nAnswer: 3321108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h = 84 - 34 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -163193, -326384, -489575, -652766, -815957?\n\"Answer: -163191*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3485, 13, -6, 594 in ascending order.\nAnswer: -3485, -6, 13, 594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0797 + 0.0319. Let k = x - -0.047800138. Round k to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**2\/((t\/((t*t**(-2\/13)*t)\/t))\/t))\/(t**(2\/7)*t*t**(6\/11)))**(-2\/97) assuming t is positive.\nAnswer: t**(-2032\/97097)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 0*r = 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4 - 200*l**3 + 5000*l**2.\nAnswer: 2*l**2*(l - 50)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -4*n + 7*n. Let q(u) = -7*u**2 - 5*u + 9. Let x be q(n). Calculate the common denominator of 19\/17 and 6 - 2 - x\/70.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3843342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**3 - 5*n**3 - n**3 + 4*n**3 - n**3 - n**3 + (2*n**2 - 1 + 1)*(3*n + 0*n - 5*n) - 2*n**3 - 1 + 1 + n**3 + n**3 + 0*n**3 - n**3 + 0*n**3 - n**3.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/((i\/(i**(-1\/7)*i))\/i))\/i*i\/(i\/(i*i**(-3\/8))))**(-34) assuming i is positive.\nAnswer: i**(-2363\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4225 and 273?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x\/x**8))**(-38)*(x**(-29)\/x)\/(x*(x*x**(-1\/8)*x)\/x*x) assuming x is positive.\nAnswer: x**(-2999\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 1\/4, 2, 1\/3 in descending order.\nAnswer: 2, 1\/2, 1\/3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 23*z**4\/2 + z**3 + z**2 - 8*z - 11. What is the units digit of m(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + (9 - 0))\/((-3)\/(-2)). Suppose -q - b = 0, o*b - 8*b = q - 4. Put q, -2, 13, 5 in descending order.\nAnswer: 13, 5, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*-3*28\/(-18). Let o = -123 + 125. What is the highest common factor of j and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.37 - 42.37. Is -2 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51 - -32. Let p be 312\/117*(-10)\/(-4)*-3. Let t = d - p. Is t >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**5 + 324*h**4 + 300*h**3 - 2286*h**2 - 4191*h - 1926 = 0.\nAnswer: -107, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 7*u**2 - u + 4. Let w be j(7). Let a = 0 - w. What is o in -1\/4*o**a + 0 + 1\/4*o**5 + 0*o + 0*o**2 + 0*o**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-1) - (18 + -7). Let p = 19 + z. Suppose 5*h = -10 - 5. Put p, 4, h in descending order.\nAnswer: p, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 7866f4?\nAnswer: 7866f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 23 = 11*t. Let z(q) = -q**2 - 2*q + 11. Let s be z(t). Find the third derivative of -52*x**3 - 49*x**s - 10*x**2 + 109*x**3 wrt x.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 126219661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 - ((-39 - -149) + 9 - 33)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 4*h + 26, -h - 49 = -3*r + 3*h. Let x = -25 + r. Let f = -6 - x. Solve 4 = -f*j - 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 363330 and 4455?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 4) + (7 - (4 - 2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1001\/(-121) + (-9)\/((-117)\/104)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236415513 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*-10*(-2)\/(-4). Suppose -x*d + 31 = 4*k, 23 = 5*k - d + 2*d. What is the first derivative of 13 - 8 + k*o**4 + 8*o**4 wrt o?\nAnswer: 48*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/5)\/(3\/90). Let x be 4\/n*(3 - 0). Let v(g) = -6*g + 1 + 9*g + g**2 - 4*g. Let k(u) = 2*u**3 + 6*u**2 - 5*u + 6. What is x*k(j) - 6*v(j)?\nAnswer: 2*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 61, 91, 133, 187, 253?\nAnswer: 331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/30 and -86\/189?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 98184.88 centimeters?\nAnswer: 981.8488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 9 = -69. What is the common denominator of -73\/10 and 213\/r - (-8)\/(-20)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/4 + 557*z**2\/4 - 1111*z\/4 + 555\/4.\nAnswer: -(z - 555)*(z - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14.894 + 5.894. Which is the second smallest value? (a) 2 (b) 1 (c) 25.2 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 893 to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11387*l**2 + 2*l - 11378 wrt l.\nAnswer: -22774*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, j: 5, a: 1, v: 5, x: 2}. What is prob of sequence svjv?\nAnswer: 25\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -47568.776267506?\nAnswer: -47568.776267506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -368982825 divided by -15?\nAnswer: 24598855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54 + 592\/11. Calculate the common denominator of f and (6\/18*3)\/((-9)\/(-31)).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 171 in ascending order.\nAnswer: -4, 0, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -20.1. Which is bigger: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*2*sqrt(170) - sqrt(170) - (sqrt(170) - sqrt(170)*-1*-4))\/(sqrt(1210)*-1*5 - (sqrt(1210) + 4*-2*sqrt(1210))).\nAnswer: 18*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5351471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-14)*6648\/(-120) - -16.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(1539))**2.\nAnswer: 13851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -7\/10318207?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/2 - 96*h - 4608.\nAnswer: -(h + 96)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*d - d - 25, 3*d - p = -5. Is -3\/2 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 296307 + -143101. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -216 + 219. Suppose 4*m - k = 2255, -14*m + 12*m = -x*k - 1125. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 2. Let b = 6 + x. Suppose 0 = -b*w + 2*y + 18, -4*w + 27 = -2*w - 5*y. Calculate the remainder when 14 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -219 - -224. Let z(c) = c**3 - 6*c**2 + 7*c - 4. Calculate z(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*g + 70536 + 2880 = 0. Is 42 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 5*n + 2*c - 1503, -2*c = -2*n + 600. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*r - 869 = -19*r for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -82*x - 854. Calculate y(-11).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/12*6*4\/(-3). Calculate the common denominator of -87\/14 and 1226\/(-420) + g\/(-45).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -d, 4*d + 4953 - 4955 = 3*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -231 - -233. Let q(o) be the second derivative of -5\/6*o**3 + 0*o**2 - 1\/3*o**4 + g*o + 0. What is the second derivative of q(c) wrt c?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (30\/9)\/((-2)\/15*-5). Let j be 2\/3*-15 - 2. Sort x, 2, j, -1 in decreasing order.\nAnswer: x, 2, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 2947.\nAnswer: 2942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-7) - 8\/(-28). Suppose r - 39 + 8 = c. Suppose 0 = -6*x + 11*x - 55. What is the remainder when r is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w - 10*w - 4*q + 107 = 0, -8*w + 3*w = -6*w - 2*q + 57 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 46118424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 2:11 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -435, -437, -439, -441, -443?\n\"Answer: -2*k - 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2418\/182255 or 1?\nAnswer: -2418\/182255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 8*a**2 + a + 5. Suppose 0 = z - 4 + 12. Let q be c(z). Let p be 3 + -5 + (-2)\/(-4). Is p > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/3049123 and -71\/6652632.\nAnswer: 73178952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.59 - -1.1. Let t = v + 0.59. What is the smallest value in 0, t, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50 + 55. Which is the closest to 1? (a) r (b) -2\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c - a?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -2*j - 2*h + 14, 0 = 2*j - 4*h + 10. Let n be 1 - 3*14\/j. Let r = 18 + n. Solve -2*u = r*t + u, -2*u = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/18 and 5\/102063.\nAnswer: 612378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 139 - 13. Let p = -62 + q. Let c = 67.3 - p. What is c rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -a**8\/13440 - a**7\/1344 + a**6\/320 - a**5\/2 - a**4\/24 - 44*a**2. Let q(d) be the third derivative of v(d). Solve q(j) = 0.\nAnswer: -3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2060*j - 2064*j - 16 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6*c**2 + 50*c + 267. Let k(a) = a**2 - 17*a - 89. Let v(d) = -2*i(d) - 7*k(d). List the prime factors of v(-12).\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, y: 2, q: 5}. Give prob of sequence qq.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/16 of a millennium?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.919 and -18.\nAnswer: 88.542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, c: 4, q: 2, g: 1}. Give prob of sequence qpg.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*v + 5*v + 36. Suppose 2*y + 40 = 3*i, -52 = -v*i + 2*i + 2*y. Calculate the highest common factor of 84 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 1, -2\/11, 7 in decreasing order.\nAnswer: 7, 1, -2\/11, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2757 = 4*y + 5*b, -2*b + 1 - 7 = 0. Suppose 4*d = -y - 947. What is d rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5184*w**5 + 55*w**4 - 89*w**2 - 333 wrt w.\nAnswer: 311040*w**2 + 1320*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 656 divide 21806953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 6:31 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 15369 = -3*p + 3*x, 3*x = 0. Let f = p + -225437\/44. Let y = f - -3\/4. Is -1 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 924 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 17 + 17. Let j be v\/(-8) - (-3)\/(-4). Let x be 17\/(-10) + (-1)\/j. What is the nearest to 0.1 in 2\/7, 0.4, x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34\/3, -2, -2.4292, -0.5 in increasing order.\nAnswer: -34\/3, -2.4292, -2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 1:14 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**31*u*u*u\/(u*u\/u**40)*(u*u**(-9))\/u*u**7 assuming u is positive.\nAnswer: u**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1261 - -1266. Let i = 7 - 3. Suppose -3*u + 58 = b, -i*b + 192 = 5*u - u. What is the remainder when b is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002010 - 112?\nAnswer: -2002122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/3 and -109\/42444?\nAnswer: 42444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 9*v**2 - v + 2. Let u be f(1). What is the derivative of -k + k + 40*k**3 - 62*k**3 - u wrt k?\nAnswer: -66*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*q + 160 + 55, -2*f + 165 = 3*q. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 737 and 12980?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3971, -4041, -4161, -4337, -4575, -4881, -5261?\nAnswer: -5721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**3 + 59*d**2 - 264*d - 82. Let t be w(-33). Calculate the highest common factor of 53 and t.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -17*m**2 - 36*m + 2. Let w(v) = v**2 + 1. Calculate g(q) - 2*w(q).\nAnswer: -19*q**2 - 36*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42*h**6 + 8*h**4 + 229*h**2?\nAnswer: 5040*h**3 + 192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1158 - 60. What are the prime factors of w?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5248, -3346, -17670, -37724, -63508?\n\"Answer: -2865*m**2 + m + 8112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-136)\/(-119))\/(12\/(-42))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -992*m*v**5 - 3*m*v**2 + 16*m*v + 22*v**6 - 304*v**2 + 3 wrt v.\nAnswer: -59520*m*v**2 + 2640*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p**2 - 25*p**2 + 13*p**2 + p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 6*s + 4. Let p be j(6). Suppose -45 = -b - p*b. Suppose v - b = 6. What is the remainder when 29 is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x. Suppose -2*w + 2*s = -0*s - 4, 3*w - 6 = -2*s. Let j(n) be the first derivative of w + n**3 + 2 - 2. What is r(j(v))?\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -395, -1, -3\/5, -28, 1\/109?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 314057971 to the nearest 1000000.\nAnswer: 314000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -44 - 1472?\nAnswer: -14b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 130 (base 12) to base 6\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*b + 41 = 0, -5*q = 2*b + 240 - 241. Solve d - 5*j + 3 = -0, -9 = q*d + 2*j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/sqrt(396) + -1)*-1.\nAnswer: -sqrt(13)\/6 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/(-6) - (-4)\/6. Solve 0 = f*t + 11 + 9 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -5*i + 14. Solve 0 = -5*m + 2*c + 19, 2*m - i*c = 7*m - 31 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -11*g**2 + 13*g**2 - 5*g + 7*g + 13*g. Let b(q) = q**2 + 8*q. Let d = -76 - -73. Let s(p) = d*x(p) + 5*b(p). Let m(v) = -v**2. Give m(s(c)).\nAnswer: -c**4 - 10*c**3 - 25*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.125 * -331684\nAnswer: 41460.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.5, 6\/7, 60078?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*a - 32856, 2*a + n = 7*a - 41089. Suppose -a = -3*l + 13683. Round l to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -5, 2, 10, 4, -6.\nAnswer: -6, -5, 2, 4, 10, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-4))\/(5\/(-420)). Let p be ((-41)\/(-3))\/((-43)\/(-129)). Let m = p + i. Put 2, 0, m in descending order.\nAnswer: 2, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42599, 170461, 383573, 681941, 1065571, 1534469?\nAnswer: 2088641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 372*s + 3. Let v(b) = -30134*b - 244. Give 244*a(t) + 3*v(t).\nAnswer: 366*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 0*o**5 + 0*o + 0*o**2 + 0*o**4 - 2\/3*o**3 - 1 - 1\/2*o**6. What is the third derivative of b(n) wrt n?\nAnswer: -180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 95*m**2 + 35*m - 35. Let b(i) = -8*i**2 - 3*i + 3. Let o(v) = 70*b(v) + 6*h(v). Let w(u) = u. Determine w(o(f)).\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1102363 is divided by 4671.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(2\/(-18)*-3). Suppose -2*k + 1 = -9, 4*k + 13 = -3*f. Let o = f - b. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-9)\/12*(-6)\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**4 + 5*l**3 - 5*l**3 + ((-1 - 4 - 2)*(1 - 3 + 0) + 1 + 0 + 1)*(2*l**4 - l**3 + l**3 + (2*l + l - 5*l)*(2*l - 4*l**3 - 2*l)).\nAnswer: 158*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - (-3 + (-1 - 36)). Let x = l + 90. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/2)\/(3\/138). Suppose -4*n = -37 - h. Calculate the greatest common divisor of 5 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7253 divided by -2\nAnswer: 7253\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 141200 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(190)*1 - sqrt(190))*5)\/(sqrt(50)\/(sqrt(15)\/sqrt(3)) + sqrt(10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j + 19. Let v be c(6). Let h(d) = d**2 - d + 3. What is the tens digit of h(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1760 and 192.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x - 3 = -5*r - 4*x, -21*x = -29*r + 26*r - 33 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - o + 8. Let f be r(0). Suppose -6*a = -4*a - f. Calculate the smallest common multiple of a and (-112)\/42*162\/(-12).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + -0.2. Let l be (-321)\/(-18) - (-3)\/(-6). Let d = l + -17. Which is the closest to n? (a) -3\/8 (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -57 + (-8)\/(-2 + 6). Let g = h + -572. Let l = g + 1502. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3312 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/8 + 5\/8. Suppose -10 = -4*s + 3*w - 2, 3*w = -5*s + 10. Suppose -1\/2*y + p*y**5 - y**4 + 0*y**3 + 0 + y**s = 0. Calculate y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 540 and 2880?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/5)\/s**(4\/3))**(-11) assuming s is positive.\nAnswer: s**(154\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68 - 116. Let j be 4\/2 - (0 + b). Suppose -j = -5*k - 2*a, 0*k + 3*a - 39 = -3*k. Solve k = w + 3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*l - 31 = -r, -5*r = l - 75. Calculate the least common multiple of r and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g**2 - g**2 - 2*g**2 + 8*g**2 - 2*g**2 + 14*g**2 + (-g + 6*g - 3*g)*(-2 + g + 2) in the form j*g**2 + t + r*g and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7144\/3 + -2381. Which is the nearest to 2\/11? (a) x (b) 4 (c) 1 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 8:16 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 11*l + 13. Let j(p) = 5*p + 6. Let q be -1*2*(-93)\/(-6). Let u = q + 79. Suppose 5*w - 17 = u. Determine w*j(b) - 6*v(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/6)\/((-3329565)\/59634).\nAnswer: -3\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 494 divide 23439312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 6*h**2 + 5*h - 5. Let s(u) = 3*u**2 + 2*u - 2. What is -2*k(g) + 5*s(g)?\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 11:46 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 239665652 to the nearest integer?\nAnswer: 15481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58.5 - -59. Let j = -1 + 1.1. Which is the second biggest value? (a) r (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -56, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = -5014*n + 4998*n + g, 5*n - 4*g - 32 = 0 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of 63*x**4\/4 + 601*x**3\/6 + 607*x**2. Differentiate u(h) with respect to h.\nAnswer: 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 12*g - 1. Let a be s(1). Suppose -3*x + 186 - 42 = 0. Suppose -a*c + 3*c = -x. What is the highest common divisor of c and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = u + 5*s, -u + 3*u + 3*s - 4 = 0. Let w be -1 + (u - -2 - 4). Let y = -2 + 7. What is the biggest value in y, -1, w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 44, 108, 198?\nAnswer: 314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/5))**(-3\/5)\/(g**(1\/5)\/g*g*g*g**(-4)\/g)*g**(-4)\/(g**(-8)\/g*g)*g**6\/g**(-1) assuming g is positive.\nAnswer: g**(376\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*j + 57*j = 59*j - 2169 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*a + 57, 5*s - 17 = -2*a + 37. What is the greatest common divisor of 2424 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*z + 23*z + 12*z + 6*z in the form h*z + d and give h.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*x - 2*h, 0 = 4*x + 5*h + 6 + 7. Solve -x*m - 5 - 4 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30249.85 millennia to months.\nAnswer: 362998200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 610*m. Let g(t) = 47*t + 36. Let v(l) = -83*l - 63. Let k(u) = -7*g(u) - 4*v(u). Give z(k(j)).\nAnswer: 1830*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1*d*d**(-5)\/d)**(-15)\/(d**6\/(d\/d**3*d*d)*(d\/(d\/(d**(4\/3)*d)))\/d*d*d**5) assuming d is positive.\nAnswer: d**(140\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 152991 in -0.4, -2, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3.09125946 + 161\nAnswer: 164.09125946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2. Let a(z) = -z**2 + 4*z + 1. Let m(y) = -1161*y**2 + 1376*y + 344. Let q(v) = 1032*a(v) - 3*m(v). Calculate p(q(g)).\nAnswer: -12014802*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 7*r = 0. What is the smallest value in r, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35533034864.86 less than 13?\nAnswer: -35533034851.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20594723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/910 and -137\/126.\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -1268*p + 14620. Calculate a(12).\nAnswer: -596","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 612550 and 350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -17*u. Let f(l) = -2*l - 878. What is j(f(r))?\nAnswer: 34*r + 14926","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -56731d?\nAnswer: -567319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 544 = 5*h, 8 + 4 = -3*j. Suppose -27 + h = 3*x. Does 16 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/50 and 91\/671800.\nAnswer: 671800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 42*s**4 - 249*s**3 - 630*s**2 - 675\/2*s - 3\/2*s**5 = 0.\nAnswer: -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*w - 3*u, -u = -3*w + 9 - 0. Let g = 5 - w. Which is the closest to 1? (a) 0 (b) g (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 126097\/20670 + -1\/2067. What is the common denominator of (-4)\/30*890\/(-16) and p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40.2 - 36.2. What is the fourth smallest value in 6, u, -3\/7, 4\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -3 (b) 4 (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 10*j**2 + 12*j - 6. Let c be q(11). Let d = -30 + 30.06. Let m = d + 0.94. Sort -2, m, c.\nAnswer: -2, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*j + 12 = -27*j. Factor 9*t**4 + 8*t + 52*t**2 - 26*t**2 - 21*t**j + 76*t - 56*t**2 - 24.\nAnswer: 3*(t - 2)**2*(t + 2)*(3*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -b + 4*b. Let y = b - 9. Suppose -49 + 17 = -y*f. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v - 5. Suppose 5*r = 2*g - 20, 4*r + 0*g + 3*g = -16. Calculate f(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 1 + (21 + -8 - -1 - -4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -23\/4, -0.04 in descending order.\nAnswer: 33, -0.04, -23\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639891397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.02 (b) 5 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -633 divided by -1120.\nAnswer: 633\/1120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.5 + 4.5. Suppose -9*a + 6 = -6*a. What is the nearest to w in -3, -2\/9, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 0*p + 287\/4*p**2 + 1\/4*p**3 + 0 = 0.\nAnswer: -287, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -3 - -13 - (-7 - 3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 - 8.2. Let a = -3.8 - o. What is the third biggest value in a, -6, -2\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 9:51 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, k: 13}. Give prob of picking 4 k.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (204\/(-255))\/(8\/(-90))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -18.544182 and -402.\nAnswer: -420.544182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -772065 (base 8) in base 5?\nAnswer: -31243000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -270, -265, -260, -255, -250?\nAnswer: -245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1421 is divided by 57.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 - (88 + -79)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 8:53 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*3\/15 - -76. Suppose 2*x - 4*l = -90, 4*l + t = -2*x + 10. Let i = x - -41. Solve 3*v = a - 3 - 12, 2*v = i*a - 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + -40 - (0 - 10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -13*d + 34*d - 3 + 1 + 15*d. Let h be j(2). Suppose h = 3*o + 2*o. What is the lowest common multiple of 2 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*w - 10 + 94 = 0. Solve w*x = 8*x + 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/7 - 187\/7. Suppose -51 = k + z - 6, 27 = -k + 2*z. What is the common denominator of -169\/30 and (k\/v)\/((-10)\/39)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(605)*1 - sqrt(605))**2 + sqrt(605) + -3).\nAnswer: -11*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -4*u - 3*k, -4*u = -16*k + 20*k - 40 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117\/(-104)*46\/(-276).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71798 - a + 35853 + 35877.\nAnswer: -a - 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(700) - (1 + (sqrt(700) - -1*sqrt(700)))) - (4 + (sqrt(567) + -1 - (-2*sqrt(567) - sqrt(567)))))**2.\nAnswer: 184*sqrt(7) + 14816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -64968925 rounded to the nearest 1000000?\nAnswer: -65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.132 + 0.432. Let j = 1.9 - 1.1. Let n = -0.3 + j. What is the nearest to -0.1 in n, -0.1, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/96 and 41\/36?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*w = -407 - 129 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 244884943 to the power of 1\/3, to the nearest integer?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -890, 0, 738, 2, -0.5, 2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of b**6\/900 - b**5\/225 + b**4\/180 + b**2\/2 + 2. Let g(o) be the second derivative of f(o). What is s in g(s) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(3*x**3 + x**3 - 5*x**3 + (-3*x**2 + x**2 + x**2)*(3*x + x - 3*x) - 2 + 2 - x**3 + 3*x**3 - 2*x**3 - 2*x**3 - 4*x**3 + 5*x**3 + x**3).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 + 59 - (11 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30807679 is divided by 287?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -96 + -5 + 29?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.2, 0.4, 26, -11\/53, -68 in decreasing order.\nAnswer: 26, 2, 0.4, -0.2, -11\/53, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 625\/(-50)*(-2 - 8). Which is greater: d or 123?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 + 2*z**2 + 2*z**2 - 4*z**2 + 5*z**2 - 3*z**2 - z**2 + 0*z**2 + 0*z**2 + 2 - 2*z**2 - 2 + (-z - 2*z + z)*(2*z + z - 5*z) + z**2 + 2*z**2 + 11*z**2.\nAnswer: 19*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -15, 71, 457, 1341, 2921, 5395?\n\"Answer: 33*y**3 - 48*y**2 - y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3*sqrt(70)\/sqrt(10)*4*-4.\nAnswer: 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -2, 3580, -234 in ascending order.\nAnswer: -234, -16, -2, 3580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7735002 divided by 15818?\nAnswer: -489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -7. Let x be (-4)\/(-3)*(-9)\/l. Solve -5*m + 0*c + 15 = x*c, -4*m - 5*c = -12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.105 + -0.09945. What is j rounded to four dps?\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -28*z**2. Let q(t) = -7*t**2. Let h be -3 + 0 - (-1 - -3). Let f be (17 - 1880\/100)\/((-64)\/(-70) + -1). Give f*q(r) + h*m(r).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in 0.122, 2\/13, 4?\nAnswer: 0.122","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*a + 23. Calculate the lowest common multiple of a and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 3:48 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -431 = -6*g + 379. What is the remainder when g is divided by 32?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 224 - 145. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51404*j**2 + 49953516*j - 49953516*j.\nAnswer: -51404*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -11, -5 in decreasing order.\nAnswer: 3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1695803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -d - 5*h + 9, -h - 1 = 0. Suppose -2*z + 4*s + 17 = s, 5*z + s = d. Let i be -7*(120\/(-35) + 3). Solve -i*x + c - z = 0, -5*c = -3 + 13 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 125 and 625.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 406a + -2?\nAnswer: 4068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*m - 326 + 326 + 32*m - 2*m**3 to q*m**3 + z*m + c + i*m**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -220*r**2 + 2. Let s be b(-1). Let c = 229 + s. Sort 2, -2, c, 3 in descending order.\nAnswer: c, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/6 - 50\/(-3). Suppose -20 - 2 = -a + 5*t, -a + 3*t = -q. Let l = 2 + a. Calculate the remainder when l is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*l**3 - 5*l**3 - 13*l**3.\nAnswer: 11*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.93 - -1.98. Which is the nearest to -0.4? (a) 3 (b) -0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-25 + 4)*3\/(-9). What is the tens digit of 124\/t - 6\/(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 17 - -5) + 3\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 77*b**4 - 3*b**2 + 73*b wrt b.\nAnswer: 1848*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 37 + 1 = 3*d, -2*z - 2*d + 64 = 0. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 175, 323, 445, 529, 563, 535, 433?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 105 = -29*j, 4*j + 4*g + 5 + 16 = -119 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.14 + -12.14. Let j = p - -11.6. What is the closest to 2 in 2\/13, j, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2997 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250 = -3*o + 479. Calculate the remainder when o is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 1156*x**5 + 96832*x**4 + 166752*x**3 - 43264*x**2 + 2624*x = 0.\nAnswer: -82, -2, 0, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20827326553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 190*h + 22148. Determine g(-123).\nAnswer: -1222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01501 to 3 decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25953393 divided by -541.\nAnswer: 47973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 3991.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1039718 and 475?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2084*g - 25717. What is p(-13)?\nAnswer: 1375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 46*y**3 - 4*y**2 - 16*y + 15. Is o(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d. Let t(z) be the second derivative of -z**6\/360 - z**4\/4 + 3*z. Let a(h) be the third derivative of t(h). Determine o(a(v)).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -326 (b) -2\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5193518.\nAnswer: 2, 11, 236069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 2*p + 4 = -0, -v = -4*p + 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4064707668 and 2.\nAnswer: -4064707666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*62\/(-1674) - (-4927)\/39?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2404992.\nAnswer: 2, 3, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 12*i**2 + 10*i + 10. Determine m(-11).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 6*x - 4. Let k be j(3). Suppose -4*t = -k*h - 3, 4*h = 3 + 1. What is the third derivative of -70*b**2 + 55*b**t - 2*b**6 - 3*b**6 wrt b?\nAnswer: -600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rb when two letters picked without replacement from roryvsb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**3 - 9*n**2 - 43*n + 1. Determine z(-5).\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 15*d. Let v be o(11). Suppose 2*a - 4*t = 0, 4*a + 2*t - 23 + 3 = 0. Suppose 5*k - v = -a. Solve -k = 4*q + 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 20. Suppose -4*u = -75 - x. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262704 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(98) + -2 - sqrt(2))**2 + 3.\nAnswer: -72*sqrt(2) + 231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -805303535, -805303537, -805303539, -805303541, -805303543?\n\"Answer: -2*g - 805303533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -11*c**2 + 84*c - 39. Determine n(8).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -g**5\/20 - g**4\/6 + g**3\/6 - g. Suppose 9*a - 3*a = 18. Suppose -2*l = y - 7, 3*y + 3 = -l + a*l. Calculate u(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*b + 560901 = 18051. Calculate the highest common divisor of b and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((8 - 2) + -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/7, -4733\/4, -16, 4, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15425.\nAnswer: 5, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 974 a factor of 668640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ziiuebybzzbyi. What is prob of sequence bbb?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwwwwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 29949?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9880 divided by -260.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/7, -2\/15, 6 in decreasing order.\nAnswer: 6, -2\/15, -11\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, -3\/4, -10\/7, -0.1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11735147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 200 - 24. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 v, and 1 q when four letters picked without replacement from {p: 2, q: 2, v: 8}.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14034 is divided by 7014.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -546 + 704 + (15 - 134)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*p**2 + 1315*p\/2 - 5825\/2.\nAnswer: -5*(p - 5)*(6*p - 233)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16\/19 + 1044\/19*z**2 + 810\/19*z**3 + 312\/19*z = 0 for z.\nAnswer: -2\/3, 2\/45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 36. Suppose 31*p = z*p + 42. Which is the smallest value? (a) -4 (b) -0.3 (c) 4 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 348\/((-2610)\/(-45))*6?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 92952 and 67132?\nAnswer: 1208376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*d - 352 + 86 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 5*t + 14. Let f = 4 + t. Let s be f*(2 + 55\/(-15)). Solve 0 = 2*c + 3*p + 2*p - 10, -s*p + 15 = c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*l - 5499 + 27 = 0 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-3))\/(1\/15). Suppose 0 = 3*s - s - z - 253, -513 = -4*s - f*z. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 2*j - 5*j)*(-33 + 11 - 14)*(-2 - 2 + 2).\nAnswer: -216*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.890712ug?\nAnswer: 0.000890712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64662 and 750?\nAnswer: 8082750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.59345*-3.72.\nAnswer: -2.207634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*h - 50*h = 0. Suppose h = 3*g + 9, -5*z + 0*z - 4*g - 2 = 0. What is the closest to -3 in -4\/5, 4, z?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*a + 4*f + 1, -4*f - 32 = -3*a. Suppose 2*q + a - 14 = 0. Solve -3 = -w - q for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 45.15197 to 2 decimal places.\nAnswer: 45.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13260 + 100*g + 7846 - 20142 + 81*g.\nAnswer: 181*g - 25556","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 84*k + 141. Calculate g(-2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -8 + -4 + -3 + 8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 848 - 842 - 7*n**3 + n**2 + 9*n**3 - 2*n. Let x be w(3). Calculate the highest common factor of 7 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50548065197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {p: 7, q: 2, o: 3, c: 5}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 1456*v - 2905*v + 402 + 1452*v. What is the hundreds digit of g(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y**3 - 2111*y**2 + 15*y + 5. Let m(t) = -4*t**3 + 2109*t**2 - 12*t - 4. Determine 4*g(b) + 5*m(b).\nAnswer: 4*b**3 + 2101*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -0*z + 3*z. Sort -8, z, -0.2 in decreasing order.\nAnswer: z, -0.2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -50829*g**3 + 2*g**2 + 122*g + 413747450.\nAnswer: -152487*g**2 + 4*g + 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**4 + 429*k**3 - 6507*k**2 - 64449*k + 240084 = 0. What is k?\nAnswer: -156, -9, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -75593 + 75597. Factor -2\/3*q**c + 0 - 2\/15*q**5 + 0*q + 26\/15*q**3 - 14\/15*q**2.\nAnswer: -2*q**2*(q - 1)**2*(q + 7)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + (sqrt(330)\/(1*sqrt(150)))\/(sqrt(405) - 3*-1*sqrt(405))*-2).\nAnswer: sqrt(11)\/45 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 107945\/1275 + -85 - (8\/(-165) + 2\/11)?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djl. What is prob of sequence jl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4318*g**2 + 4318*g**2 - 433*g**3.\nAnswer: -433*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -372, -1084, -2480, -4902, -8692, -14192, -21744, -31690?\nAnswer: -44372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74\/3 + -24. Let w = 1.9 + -1.82. Let m = -1.08 + w. Which is the closest to 0? (a) m (b) p (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - f - 2*f)*(-4*f + 3*f + 2*f + (-2 + 2 + 2)*(6*f + 2*f - 4*f) + (2 - 3 - 1)*(-f + 2*f - 2*f)) + (0 + 0 - f)*(0*f - f + 0*f).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/7 - 1046*g**2\/7 + 111502*g\/7 + 6887654\/7.\nAnswer: 2*(g - 283)**2*(g + 43)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -59732459*u**2. Let d(l) = 2*l**2. Determine d(h(t)).\nAnswer: 7135933316373362*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -d - 2*t, 3*t + 38 = -4*d + 19 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 + 2*j**3 - j**3)*(-43*j - 165*j - 222*j - 181*j).\nAnswer: -1222*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102, -205, -308, -411, -514?\nAnswer: -617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 142.202 + 11.23. Let x = 0.62 + -154.62. Let b = w + x. Round b to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.066*-16.794.\nAnswer: 1.108404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**2 + 124860*j - 1299168300 = 0. What is j?\nAnswer: 20810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(-58 + 0*c - c + 64)*(-1 - 2 + 0).\nAnswer: 6*c - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 * -340887.\nAnswer: -306798.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -15*g - 11. Let p(o) be the third derivative of 5*o**4\/24 + 2*o**3\/3 + 835*o**2. Determine 8*p(f) + 3*s(f).\nAnswer: -5*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2613 a factor of 467375617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**2 + o**4 + 3*o**2 + 0 + o**3 - o - 4*o**2 - 2 in the form g*o**4 + r*o**3 + n + w*o**2 + m*o and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 5*s - 669 - 6, 133 = s + 2*c. Suppose 4*j = -a + 301, 5*a = -0*j - 2*j + s. Is j a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 1792*r + 14376. What is p(8)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3185 - -3272. What is the remainder when 347 is divided by u?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7712 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 5*z**3\/6 + 5*z**2 + 10*z - 18. Let o(l) be the first derivative of u(l). Differentiate o(g) with respect to g.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0072633 to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - k = 0, -15 = 5*o - 3*k. Let y(j) be the first derivative of -2*j + 1\/2*j**2 - 39. Calculate y(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 12033431?\nAnswer: 12033426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccch when four letters picked without replacement from cccnshhcc?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, -3, -5, -26, 5, -1 in descending order.\nAnswer: 5, -1, -3, -5, -26, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 201463*l**2 - 153*l + 88.\nAnswer: 402926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - (0 - 60)) + -1. Let y be (u\/14)\/(2\/28). Suppose 2*b + b - y = 0. What is the remainder when b is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 240*j - 41. Is s(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59 and 780511.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -178 - -171. What is the nearest to -8 in 0.5, o, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2 = j - b, -5*b = 3*j - 6. Suppose j*h - 217 = r + 1083, 4*r + 1940 = 3*h. Suppose -2*y = 2*y - h. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**4 - 98*b**2*f**3*t + 28*b*f**3 - 2*b*f*t + b*t wrt b.\nAnswer: -24*b**2 - 196*f**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4107.752g in nanograms?\nAnswer: 4107752000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 76 = -m + 5*w, -4*m + 2*w + 264 = 0. Suppose b + m = 5*b. What is the least common multiple of b and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 4433.\nAnswer: 1773.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10)\/((-8)\/100)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9000, 18010, 27034, 36072, 45124, 54190?\n\"Answer: 7*s**2 + 8989*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**3 + 22*c**2 + 9*c + 16. Let x be v(-7). Suppose -k - 181 - 86 = -f, -2*f = x*k - 526. What are the prime factors of f?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*j = -93599 + 17503. Let n(u) = 86*u**2 - 2*u - 1. Let x be n(-1). Calculate the greatest common factor of j and x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 21 + 24 - 39 + 2138*h - 20.\nAnswer: 2138*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {e: 1, y: 5, n: 5, i: 5, j: 3}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*v = -2, -2*v = -p - 7*v - 12. Let a be -5700002 - (0 + 0 + p). What is a rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4360, 4353, 4342, 4327?\n\"Answer: -2*y**2 - y + 4363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -0.02, 2\/15, 2, 0.818, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -7*m**2 + 8*m - 10. Let y(h) be the first derivative of 2*h**3 - 7*h**2\/2 + 9*h - 3207. Let q = 2 - -4. Give q*y(f) + 5*x(f).\nAnswer: f**2 - 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 1536*n**2. Let j(p) = 4650*p. Determine j(r(z)).\nAnswer: 7142400*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 + 40.69. Round x to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 divided by -3?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 x when four letters picked without replacement from xxeexxxexxxx?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/3 + 203338*q\/3 - 10336585561\/3.\nAnswer: -(q - 101669)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-2))\/((-1508)\/87*45\/40).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 652257 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-18\/5)*b*(b*b*(b\/b**11)\/b)\/b assuming b is positive.\nAnswer: b**(-63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5317 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/96 and 149\/1374.\nAnswer: 21984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4 = -5*d. Let v be 38\/(-10) + 38\/(-190). Let u be 1\/v*(-17)\/17. Is u at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 13*m - 11. Calculate the remainder when y(-9) is divided by ((-292)\/(-219))\/((-16)\/(-6))*30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -17*w**2. Let d(k) = 4*k**2 - 2*k + 3*k - k. Suppose -5*h - z = 9, 3*h + z + 0*z = -5. Let p(a) = h*c(a) - 9*d(a). Factor p(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**5\/5 + 28*w**4\/5 + 392*w**3\/5 + 1224*w**2\/5 + 1404*w\/5 + 108 = 0. What is w?\nAnswer: -3, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/6)\/((-28)\/(-360)*5)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.6 or -2161?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 3:39 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-26))**(-4\/13) assuming v is positive.\nAnswer: v**(100\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4111*u**3 - u**2 - 5*u + 6. Is m(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**4\/3 - 142*q**3\/3 + 1008*q**2 - 23168*q\/3 + 60416\/3 = 0 for q.\nAnswer: 8, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 457*f = -314*f - 771 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73684627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -2. Let z(w) be the first derivative of -w**4\/4 - 7*w**3\/3 - 9*w**2\/2 - 6*w - 4. Determine z(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-6) - (-84)\/18. Suppose -30 = -4*p + d - 11, s*p = -3*d + 39. Solve 21 - p = -3*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21031031 - 12434?\nAnswer: -21044020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 5:33 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) + (sqrt(1216) + -1)*-4 - sqrt(1216))**2*1 - (sqrt(38)\/(sqrt(2)*-2) + 2 + -1*sqrt(19))) + -1.\nAnswer: -509*sqrt(19)\/2 + 19469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -10*o + 8. Suppose -15*i + 492 = -460*i - 3068. Calculate f(i).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.097*-3.\nAnswer: 12.291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-2))**20)**25)**(-24) assuming c is positive.\nAnswer: c**24000","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.2 + 2.2. Let q = 3 + -2. What is the nearest to q in 5, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + m + 47 = 0, 5*g + 0*g = -5*m + 65. What is the smallest common multiple of 2 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkxk when four letters picked without replacement from {k: 3, x: 8}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -9 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50381986 a multiple of 1843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4746*y = -4623*y - 2065 + 6616 for y.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 3*j**2 + 3. Let s be b(-3). Let v(d) = 0*d - 7*d - s - 1. Is v(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a - 2. Let y be d(2). Suppose 3*r = y + 4. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001 + -101?\nAnswer: 10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, m: 6, o: 8}. What is prob of picking 2 o and 1 c?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 13.9. Let m = 0.03 - 4.03. Let i = x - m. Sort 0, 2, i in increasing order.\nAnswer: i, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*m - 6809 = 42*m. What are the prime factors of m?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 9*h + 6. Let v be w(6). Let i(g) = -g**3 - 52*g**2 + 106*g - 105. Let u be i(-54). Solve 4*d = -3*n - v, -3*d - 2*n - u = 14 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*i**4 + 8*i**2 + 1 - 8*i**2 - i - 7*i**3 + 9*i**3 to p*i + w*i**3 + x*i**2 + j + a*i**4 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.15, -0.3, 2\/15, -3.9, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 791*s**4 + 2677*s**3 + 5794301*s**2.\nAnswer: 18984*s + 16062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-10))\/((-1)\/2). What is the second biggest value in 0.1, t, 16, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 10 + 12 = 0. Suppose 5*g - 117 = -y. Let i be ((-19)\/2)\/(3\/(-30)). Calculate the highest common factor of g and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fpffpptpfpppppffffp. Give prob of sequence pfpt.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60 - -123. Calculate the greatest common factor of 21 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 72*4*2\/8. Suppose 3*f + 2*f - d = -4*v, 3*f = 2*v + 30. Let r be 2\/1 + (-15)\/f. Which is the nearest to -2\/3? (a) r (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 5*l + 13 - 1 - l + 1 + (2*l + 0*l - l)*(2 - 1 - 3) - 14*l - 5*l + 4*l in the form m + z*l and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1377635 is divided by 591?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 2)*(-1 + 1 - 2)*(-4 + 0 + 3 + 2*t).\nAnswer: -12*t + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*o + 17 = 9, -m + 4 = -o. Let l be (-3 - 5\/(-1) - 1) + m. Solve 4*r - 4 = 0, -1 + 7 = l*t + 2*r for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34345288 (base 9) to base 16.\nAnswer: -fe8bdd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/14 in -5, -0.5, -6, -1\/85?\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 68*v**2\/3 + 1816*v + 640\/3.\nAnswer: 4*(v + 80)*(17*v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000724523725 to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 423674771 and 0?\nAnswer: 423674771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 421\/442477 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 112749?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 170*m**2 + 242*m wrt m.\nAnswer: 340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {v: 4, k: 6, q: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*y - 3 = 6*p, -9 = -p - 2*y. Let o = 27712739\/908160 - 3\/27520. Let v = 91\/3 - o. Which is greater: p or v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25315231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 - -102*9 - 1 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18075 - 18052. Is u > 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 12*d**3 - 9*d**2 + 8. Let a(h) = 29 + h**2 - 4*h**3 + 3*h**3 - 29. Let r(n) = -18*a(n) - 2*f(n). Differentiate r(i) with respect to i.\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 20 = 3*j. Let v(p) be the first derivative of p**3\/3 + 25*p**2\/2 + 158*p + 301. Let w be v(-11). Sort j, w, -3, -4 in increasing order.\nAnswer: -4, -3, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 5 - 39*v - 10.\nAnswer: -39*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7004, -14001, -20998, -27995?\n\"Answer: -6997*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qzzzzzqzzzzzqz. What is prob of sequence zzz?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v + 3*s + s - 4, -3*v - 3*s + 21 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 550849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*d + 3*l, 4*d - 3*l = 2*l + 11. Suppose 5*g + t - 165 = 6*t, 123 = d*g + 5*t. Suppose 0*m + 7 = y - 4*m, -g = -2*y + 2*m. Does 15 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*r**3 - 4 - 13*r**2 - 2*r + r + 33*r**4 - 4*r**2 - 44*r**2 + 60*r**2 to w*r**4 + h + a*r**3 + i*r**2 + p*r and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 + 50. Suppose -16*s + 9 = -f*s. Let g(w) = w. Let k be g(s). Solve 2*y + k = -y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 0 + 8 + x - 3 - 4. Let i = -88 + 140. Suppose f - 2*f - 5*z + 30 = 0, -i = -4*f - 3*z. Let a(u) = -6*u - 4. What is f*j(l) + 2*a(l)?\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**2 + 19*g**3 + 6*g - 29 + 28 - 3*g wrt g.\nAnswer: 114*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -771 - -804. Solve 46 = 3*j + 3*i + 19, -5*j + x = 2*i for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 2*y - 2*i + 14, 3*y + 5*i = -23. Let g = 1713 - 1716. Which is smaller: g or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21\/9 + 16\/24. Suppose o*k - 4*c = 42, k - 28 = -k - c. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - -51 - (-65 + 60)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -937, 0, 2 in descending order.\nAnswer: 2, 0, -5, -937","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.17 - -2.17. What is the fourth biggest value in i, 2\/3, -3, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*t - 228 = -4*i, -4*t - 296 = -5*i. Suppose 4*o + 1063*w - 2476 = 1066*w, 2*o + 4*w = 1216. Calculate the greatest common divisor of i and o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 9:12 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**2 + 9*n + 6. Calculate a(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7538 + 7538.013. What is x rounded to four decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(343) + 2) + -4 + sqrt(343) + 0 - ((0 + sqrt(343))**2 + 5 - ((0 + -1*sqrt(343) - sqrt(343)) + sqrt(343))**2)) + 1.\nAnswer: -28*sqrt(7) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 827429 is divided by 538?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174680 - 67504 = 3*t + r, -2*t - 3*r = -71460. Is t a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*t + 3*t, -33 = -2*v - t. Suppose v*m - 17*m = 15. Let j be (0 + 0)*(-4 - m) + 2. Sort j, -3, 3, -2 in increasing order.\nAnswer: -3, -2, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4508022, 9016045, 13524068, 18032091, 22540114?\nAnswer: 27048137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1409, -2686, -3967, -5252, -6541, -7834?\n\"Answer: -2*y**2 - 1271*y - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.3 less than -20036?\nAnswer: -20128.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3984791?\nAnswer: 3984791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 1\/15*o**5 + 1\/6*o**6 + 0 + 0*o**4 + 0*o + 7*o**2 + 0*o**3. What is the third derivative of w(s) wrt s?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1289\/209 - -69\/11. Let p = 0.4 + -0.2. Which is the nearest to -2\/5? (a) m (b) p (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120, 278, 434, 588, 740?\nAnswer: 890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2859)\/(-5710) + (-16 - 186\/(-12)). Is 1 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 103258718?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 102.2839\nAnswer: -101.8839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and ((1 - 3) + -6)\/(-2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 178 = 190 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1398*12976\nAnswer: 18140448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -311, -313, -315, -317?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3595?\nAnswer: 5, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -331971223391 and -1.\nAnswer: -331971223392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-0.062.\nAnswer: -0.186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2157363 (base 12) to base 5.\nAnswer: -3110241313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*17\/(-340) + (-4)\/4*(-851)\/(-37).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = k - c - 34, 0 = 5*c + 20. What is the greatest common divisor of 288 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**3 - 7*i**3 - 1 - 4*i**3.\nAnswer: -9*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 135, -39, -489, -1347, -2745, -4815?\n\"Answer: -22*b**3 - 6*b**2 - 2*b + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3519210 divided by -1759605?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -708 (b) -2191.6 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-44) + 62\/(-22)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 18*s + 20. Let z be m(5). Suppose z = 7*r + 4*r. Let t be 600003 + (3 + -8)*6\/r. Round t to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5aa3 (base 13) in base 5?\nAnswer: -402213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 + 34 = -2*b. Let n = 6674 + -40151\/6. Find the common denominator of (0 - 9\/b)\/((-12)\/(-188)) and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbgbbbbbbgbmgggggbbg. Give prob of sequence gb.\nAnswer: 22\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 2 + (-4 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 5032*j - 5032. Calculate w(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 194.2147 tonnes?\nAnswer: 194214.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 = -15*t - 1929. List the prime factors of (0 - 5)*(t - -31).\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -70*p - 6123. Determine k(-101).\nAnswer: 947","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w - 61. Let j(r) = 4*r + 61. Let z(f) = 6*j(f) + 5*q(f). Let u be z(-14). Put u, -2\/3, -2 in ascending order.\nAnswer: -2, -2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 47*h**2 + 46*h + 3. Let c be b(-46). Sort -2, 8, c, 2, 14.\nAnswer: -2, 2, c, 8, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5*(-3)\/(-810))\/((-32)\/(-32)))\/(3\/(-24)).\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - b + 4. Give a(7).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -45\/344891?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -6*m**3 + m. Let u be i(1). Let n(q) = 3 - 2*q - 3 + 1. Let v(x) = -4*x + 3. Give u*n(y) + 2*v(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*6*(sqrt(98) + (sqrt(98) - sqrt(98)*-1)) + -2)*6)**2.\nAnswer: -54432*sqrt(2) + 10287792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -17 + -7 - (1 - 8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -17 - -48 - 4.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116 and 105783242?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**8)**(-4)*m*m**(-3)*m*m*m**(2\/13)\/m assuming m is positive.\nAnswer: m**(-427\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 + -50. Let d be (-2)\/(-4)*-2 + 23. Let v = d - 45\/2. Is v less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n**5 - 20919*n**4\/2 + 557520*n**3 - 8765499*n**2 + 29065575*n + 76798125\/2 = 0.\nAnswer: -1, 37\/6, 25, 1107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**3 - 2*p**2 + 3*p + 3. Let v be (-5)\/2 - 4\/(-8). What is h(v)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g + 4*g = 448. Suppose -g*l - 66 = -6*l. Let j(q) = 5*q**2 - 2. Let p(k) = 4*k**2 - 2. Give l*j(v) + 4*p(v).\nAnswer: v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18304431199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 245 and 133315.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1013739.19 + 1013788.190079. Let w = s + -49. Round w to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and 31\/14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -159852220 divided by 39963055\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 3:30 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -296637500 to the nearest one hundred thousand.\nAnswer: -296600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5080 at most -2980?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 9*m**2 - 12*m - 13. Let z be v(-10). Let g(f) be the third derivative of 3*f**5\/5 + f**4\/8 + 5*f**3\/3 + 21*f**2. Is g(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqbqbv. Give prob of sequence qbv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 181 - 182. Let z(s) be the first derivative of s**2\/2 + s + 1. Suppose 0 = 16*o + 3 - 19. Let q(m) = -m + 1. Give o*q(g) + w*z(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6*k - 38. Let h be v(7). Suppose 5*q + 4*b - 67 - 140 = 0, q - h*b - 51 = 0. Calculate the greatest common divisor of 473 and q.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 53673879 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9\/4, 5, -0.9, -3, -13\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -158851 at most -635405\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -9. Does 21 divide (c + ((-68)\/3)\/4)*-18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330910289 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-213 - 188 + 91)*(-u - 2*u**4 + u).\nAnswer: 620*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -476 = 88*x - 116*x. Solve -5*u - 17 = 4*m, 15 = -u + m + x for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 1645?\nAnswer: -1645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1842*o - 7101 - 144103 = -441*o + 26870 for o.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 6*o + 13*o**2 + 0*o**2 - 5*o. Calculate the lowest common multiple of 4 and x(1).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 4, c: 7}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (148*x**3 - 193*x**3 - 99*x**3 + (-2*x**2 + 2*x**2 + 2*x**3)*(-2 + 0 + 3))*(-21 + 17 - 45) to the form f*x**2 + u*x + t + y*x**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -629*c + 644*c = 210. What is the remainder when 180 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 354 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1414 times -1959\nAnswer: -2770026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 74 + 166.\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64 - -99. Calculate the highest common factor of n and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*d + 2*d - d + (-4 + 2 + 1)*(2*d + 1 - 1) - 2*d + 0*d + 3*d)*(2*d**4 + 3*d**4 - 9*d**4) + (3*d**4 + 13*d**2 - 13*d**2)*(11*d + 12*d - 27*d).\nAnswer: 40*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zlrmmmllzzlrllzzran. What is prob of picking 3 m and 1 a?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l**3 - 2*l**2 + 7*l - 17. Let v be d(5). Suppose v = 9*a - 513. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 134384*h + 403120. Give m(-3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 12) + -3 + 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.586356ml?\nAnswer: 0.009586356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2826 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: 132540 divided by 12\nAnswer: 11045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22699 + 158891\/7. Let u be (-1)\/(-4)*3\/(-2). Sort u, i, 13\/2 in decreasing order.\nAnswer: 13\/2, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 34?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 80 - 75. Suppose -t*g - 5*q + 450 = 0, -4*q = -2*g - 0*q + 198. List the prime factors of g.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 4:11 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1386\/66 + 14\/(-2). Suppose 7*h + v = 224. Calculate the remainder when 105 is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 86213722?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 0*z + 3*z)*(1 - 4 + 6)*(3*z - z - 3*z).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/8 + 34\/8. Suppose b = -4*z + 17. Solve z*g + 7 = -5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.3, -1.2, -2 in ascending order.\nAnswer: -2.3, -2, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 488.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 3*c**2 + 3*c - 6. Let j be f(3). What is the closest to 0.3 in 1\/4, -0.4, j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 1331 = 114*b. Calculate the remainder when (-1*1)\/(4\/(-292)) is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 182*l**3 - 3*l**2 + 14*l + 10. Let z be n(-4). Let c = z - -35373. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7560240, 15120483, 22680726?\nAnswer: 30240969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 191c (base 16) to base 2\nAnswer: 1100100011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/199 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 = -2*x + 189. Let t = x + 51. Calculate the greatest common divisor of t and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 0*w**2 + w**2)*(-597 + 597 - 30*w + (w - 1 + 1)*(2 + 2 - 3))*(1 - 2*w - 1).\nAnswer: 116*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - 21.24. Let k = 0.23 + j. What is k rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 10 = -5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 0*w**3 - 2\/15*w**6 + 0 - w - 1\/7*w**7 + 0*w**4 + 0*w**2 + 0*w**5. Factor k(y).\nAnswer: -2*y**4*(3*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22601141287 + 1.969.\nAnswer: -22601141285.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91730908 and 10408.\nAnswer: 5204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -7*d**4\/24 + 17*d**3\/6 - 7660*d**2. Determine x(-5).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55367071*x**6 - 138452477*x**2.\nAnswer: -6644048520*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145914 divided by -2.\nAnswer: -72957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 - -95. Let h be -2*(-3)\/(-30) - 302\/(-10). Calculate the greatest common factor of h and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86461?\nAnswer: 86461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 3. Calculate the remainder when (2 - c)\/((-3)\/(-111)) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 2:30 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/a**(-2\/11)*a)\/a)**(-2)*a**(-1)*a*a\/(a*(((a\/(a**9*a))\/a)\/a)\/a*a) assuming a is positive.\nAnswer: a**(73\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 6\/19, -2\/7, -0.3?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, -122, -116, -38, 124, 382, 748?\nAnswer: 1234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 20*h**2 + 28*h - 26. What is r(1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2. Let r(o) = -216*o + 28. Let f(z) = -24*z + 3. Let l(n) = -28*f(n) + 3*r(n). Calculate l(k(x)).\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40536 + 237895 = -2881*p - 111046 + 55281 for p.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -53997*l + 19 - 9511*l + 65 + 7511*l. Let s be g(-28). Suppose -6*x + s = 8*x. Round x to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/30)\/((-3)\/(-10))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -72161 - -71923.528. Let d = k + 267.47234. Let z = 30 - d. Round z to 5 dps.\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/4))**(-1\/35)\/((v*v**(-1))\/(v**(-4\/7)\/v)) assuming v is positive.\nAnswer: v**(-221\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1007 or -4487.1?\nAnswer: -1007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 484 + -483. Which is the nearest to 0.1? (a) -1\/3 (b) r (c) 0 (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.5406 and -14?\nAnswer: 91.5684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 733000 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4 + 4*c**3 + 2*c**2.\nAnswer: 2*c**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45800?\nAnswer: 2, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*c + 57*c = 170. Let i be (c\/(-25) - -3)*-10. What is the tens digit of -3*i*32\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 - ((6636\/(-18))\/(-14))\/(1 - 0)\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-2)*10*(-1)\/(-6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 9:35 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/18 - 203*4\/7056. Let r(g) be the third derivative of 0*g - 1\/70*g**5 + 17*g**2 - z*g**4 + 0 + 4\/7*g**3. Factor r(f).\nAnswer: -6*(f - 1)*(f + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 7*d + 3. Let i be s(-7). Suppose i*m - 8*m - 45 = 0. Let h = m + 23. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*a = 2*j - 14, 17 = -4*j + 5*a. Suppose -2 = 7*h - j. Suppose -2\/11*y**4 + h - 2\/11*y**2 - 4\/11*y**3 + 0*y = 0. What is y?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1122 + 237210?\nAnswer: 236088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**4\/3 + 2755*o**3 + 153665*o**2 - 2478965*o\/3 + 669900 = 0 for o.\nAnswer: -1595, -63, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three tenths of a millennium?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -1599127 and 102.54.\nAnswer: -1599024.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274925.\nAnswer: 5, 7, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3459707 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 172394000 to the nearest one million.\nAnswer: 172000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 237.2607, -0.3, -3\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 0 = 5*b + 1, 0 = -o + 2*b + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5540 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 115595073259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -201542422 - -4?\nAnswer: -201542414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1742 + 4367 = 5*b. What is the remainder when b is divided by (-22)\/((15\/9)\/((-325)\/130))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77895 and 42239285.\nAnswer: 2885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10.42 and -174?\nAnswer: 184.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 219*d - 79. Let c(r) be the first derivative of 164*r**2 - 119*r - 9. Let a(p) = 5*c(p) - 7*t(p). Differentiate a(n) with respect to n.\nAnswer: 107","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*2*-3 + (sqrt(11) - sqrt(99))*-2)*-6.\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -347 - -568. Calculate the highest common divisor of r and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 7*z + 108. Let g be (-2 - 1)\/(z\/(-12)). What is the tens digit of g\/(-2) + 4 - -60?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 57, 132, 223, 318, 405?\n\"Answer: -2*c**3 + 20*c**2 + 29*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*f + 40*f - t + 48, 5*f = 3*t - 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/2934 and -11\/9?\nAnswer: 2934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 450547 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: Is -8\/7631 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(350)\/(sqrt(343) + sqrt(343)*-3 + sqrt(343)))\/(5*(-6*sqrt(40)\/sqrt(4) + sqrt(10)*2*-5)).\nAnswer: 3*sqrt(5)\/280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**3\/6 + m**2\/2 - 2*m. Let k be a(0). Suppose 8 = 2*o - p, 5*o + 2*p = k + 10. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s - s + 0*s + (0*s + 0*s + 2*s)*(3 - 8 + 2) + (-1 + 3 - 3)*(121 - 121 + 10*s) as j + v*s and give v.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1348547, -2697139, -4045729, -5394317, -6742903, -8091487?\nAnswer: -9440069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125 + 70 + 31 + -5.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*z**3 - 1274*z + 636*z + 53*z**2 + 640*z - z**5 wrt z.\nAnswer: -60*z**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**15\/((x*x\/x**9*x)\/x*x)*(x**(3\/7))**(-33))**(-2\/21) assuming x is positive.\nAnswer: x**(-32\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + y - h + 474, -4*y + 4*h + 484 = 0. Let z be 32\/2 + (-2)\/(-2). What is the greatest common factor of y and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-nine quarters of a hour?\nAnswer: 735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 u when two letters picked without replacement from uueeeeveevevev?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -54, -83, -118, -159, -206, -259?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-3) + 3\/9. Suppose y*n + 81 = 3*h + n, 0 = 3*h + 5*n - 99. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75 (base 16) to base 10.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6708 - -503128\/75. Find the common denominator of 20\/21 and k.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -156 + 195. Suppose s = 7*k + 6*k. Solve -3*p - 6 + 0 = 4*n, k*n - 4*p + 17 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 462 + -205. Suppose 2*j = l + 51. Suppose 3*x + j = 4*u, -4*u - 4*x = -3*u - 48. Calculate the greatest common factor of u and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7244319 and 1735?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.41 - 0.01. Let r = -50.95 + 51. Let w = 1.95 + r. What is the third smallest value in i, w, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 182 + 78 = 0. Let w = s + 18. Calculate the highest common factor of w and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 3*r + 22 = 0, -3*w - 20 = -6*w - 5*r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -g**10\/75600 + g**5\/20 + 3*g**2. Let n(r) be the third derivative of h(r). Factor n(s).\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 521070 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 185*w + 9. Let h(n) = 952*n + 46. Determine -6*h(g) + 31*v(g).\nAnswer: 23*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -72, -13, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1409 - 3973.\nAnswer: -5382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 107, -12\/13, 1, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 + 38 - 36\/(-7).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355*j - 21604 = 2318*j - 59356 - 74139 for j.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 8*j**2 - 11*j + 38. Let s be h(6). Let g = s + -128. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sszz when four letters picked without replacement from {z: 2, s: 9}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54 - 38. Suppose 2*j = j - 2*r + p, 3*j + 2*r - 48 = 0. Suppose 3*d = 43 - 16. What is the remainder when j is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 57 + 147. Suppose -f = -3*f - o. Let t = -33 - f. Which is smaller: t or 4\/17?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -83557236, -83557245, -83557256, -83557269?\n\"Answer: -u**2 - 6*u - 83557229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 + 31*r + 1733. Determine c(-22).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19.86 + 11.5. What is r rounded to one dp?\nAnswer: -8.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7009, -7016, -7027, -7042, -7061, -7084, -7111?\nAnswer: -7142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-332)\/4150 + (-104)\/(-50). Factor 2\/3*v**t + 26\/9*v + 8\/9.\nAnswer: 2*(v + 4)*(3*v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107226*l + 107237*l = -231 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x - 256 = -23*x. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*1*1*-1. Let f(b) = -3 + 1 - 3251*b + 3250*b + 9. What is f(c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1324 and 76461?\nAnswer: 305844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -222981, -222972, -222961, -222948, -222933, -222916?\nAnswer: -222897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.846 and 14.\nAnswer: -95.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -7*o**5\/60 - o**2 - 3*o. Let j(h) be the first derivative of q(h). Let a(v) = -v**2. Determine j(a(g)).\nAnswer: -7*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2289668.67 rounded to the nearest one hundred?\nAnswer: -2289700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, 69, 277, 585, 993, 1501?\nAnswer: 2109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/11 - 40*h\/11 + 138\/11.\nAnswer: -2*(h - 3)*(h + 23)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of 0*z**5 + 0*z - 3*z**2 + 1\/108*z**4 + 0*z**3 - 1\/540*z**6 + 0. Determine b so that j(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -33023*j**4 - 17782?\nAnswer: -132092*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13133, -13128, -13123?\n\"Answer: 5*n - 13138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 7 = 2*w, -19*x = -15*x + 4*w - 16. Suppose 1 + 7 = -k + 4*g, -2*k + 3*g - 26 = 0. Sort x, k, 5 in descending order.\nAnswer: 5, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i**7\/945 + i**6\/540 + i**5\/135 + 75*i**2. Suppose q(b) = 0. Calculate b.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**5\/60 + q**4\/3 + q**3 + 1942*q**2. Suppose 1 = m + 7. Determine r(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -555 at most as big as -556?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 683730 to the power of 1\/2, to the nearest integer?\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*g**3 - 2*g - 475*g**3 + 0*g + 174*g**3 + 163*g**3 + 2*g.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of 13*u**8\/168 - 13*u**6\/120 + u**4\/8 - 49*u**3\/6 - 37*u**2. Find the second derivative of p(z) wrt z.\nAnswer: 520*z**3 - 78*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/1670, 0.5, -1\/31, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand m + m - 8*m + (4 + 4 + 10)*(1 - m - 1).\nAnswer: -24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 834?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (3 - -14*(-6)\/12). Let x(f) = g*f**3 + 2*f**3 - 7*f**2 - 10*f**3 - 10*f**3. Let a(m) = -5*m**3 - 2*m**2. Give -7*a(b) + 2*x(b).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125298, 250705, 376112, 501519, 626926?\nAnswer: 752333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.62 + 29.62. Let c = -270 + 241. Let i = l + c. Which is smaller: i or 2\/107?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 4:38 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*f, 2*q = -4*f - 0 - 12. Let s = 19.9 - 21. Let g = s - -0.1. What is the second biggest value in g, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*a + 4)*(-354 + 35 - 541).\nAnswer: 1720*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 z when two letters picked without replacement from fgzzzqqzzzxwzx?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r - 4. Let d be j(-3). Let o be 2*(8 + 4\/d). Suppose o*w = 13*w. Solve w*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 4*n**2 + 3*n + 4. Give l(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 93 + -90. Suppose -4*i + 2*i - 14 = 3*n, n = i - t. Calculate the remainder when (-4)\/8*-2 - 193*i is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 166837 - -0.2.\nAnswer: 166837.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 3 + 6)*(-4*v**3 + v**3 - 3*v**3) + v**3 - 4*v**3 + v**3)*(4*v**2 - 2*v**2 + v**2).\nAnswer: 12*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5\/16)\/n)\/(n*n*(n\/(n\/(n**(-2\/17)\/n)))\/n)*n**32\/n*n*n**(1\/17) assuming n is positive.\nAnswer: n**(8395\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 255439 to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 679070797?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 156, 260, 400, 588, 836, 1156, 1560?\nAnswer: 2060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 + -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90990.77cm to micrometers.\nAnswer: 909907700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 13*y**2 - 3*y + 3. Let h be c(2). Suppose -1644*o + 292351 = -271541. What is the greatest common factor of h and o?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1868*c + 618*c - 841*c.\nAnswer: -2091*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + (-45 - -16) - (34 + -2) - (-5 - -11)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 12:48 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3))**(6\/17)*(w**0)**(-2\/49))**1 assuming w is positive.\nAnswer: w**(-18\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + y**2 - 2*y - 1. Let j be w(0). Let r be 1 + -1 + j + 5. Solve -5*g + 9 = -r*q, 0 = g - 5*g + 5*q + 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 7*g**2 - 2*g + 8. Suppose 4*j = -2*x + 30, -j - 4*x = 2 - 27. What are the prime factors of n(j)?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 10. Solve 2 = -x*d + 2*v, -4*d + 6*d - 5*v - 7 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2568240\/7 - -366891. Let c be (-7)\/((2 - 0)\/26). Let o = c + 452\/5. Put 14, o, n in increasing order.\nAnswer: o, n, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42130, -44265, -46400?\nAnswer: -48535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + (35 - (-105 + 256)).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 2, 2731 in decreasing order.\nAnswer: 2731, 30, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (152\/24 - 3)*78\/130\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20460 divided by 258?\nAnswer: -3410\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from egieibigbbbibeqqeeiq. Give prob of picking 1 i and 1 q.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jijpop. What is prob of sequence po?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*a**3 + 5*a + 2*a**4 + 14*a**3 + (-2*a + 2*a - 2*a**2)*(2 - 2*a**2 - 2).\nAnswer: 6*a**4 + 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150b27 (base 14) to base 2.\nAnswer: 10110010101110111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 969410 is divided by 273?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -6. Find the third derivative of 3*v**2 + 0*v**l + 2*v**4 - v**2 + 0*v**2 wrt v.\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339 divided by 527734?\nAnswer: 339\/527734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*b + b - 5*b + 50*b - 6*b + 0*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 13*z**2 - 70*z - 29. Let y be q(-17). Put y, 3, -28 in decreasing order.\nAnswer: y, 3, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36.5 - 28.76. What is w rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aff when three letters picked without replacement from {a: 2, f: 3, q: 3}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*a = 81*a - 80. Suppose 0 = -t + a*t - 54. Let w(y) = -y - 1. Determine w(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuwnuuwwwc. Give prob of sequence ucu.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 75b4a?\nAnswer: 75b4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, w: 2, c: 5}. Give prob of sequence ct.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -568882\/1571 < -363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -171, -1 in decreasing order.\nAnswer: 0, -1, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*s - 15223299 = -2*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-6)\/(z\/(z**(2\/9)\/z)))\/(z**(-2\/9)\/(z\/z**7)))\/((z\/(z*(z**(-3)*z)\/z*z)*z)**(-39))**(-37) assuming z is positive.\nAnswer: z**(-39083\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**4 - 1387724*u**3 + 1387720*u**2 = 0.\nAnswer: 0, 1, 346930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -541*y**3 - 10 + 10 + 362*y**3.\nAnswer: -179*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 4. Let k = -339 + -56. Let v = -394.5 - k. Which is the closest to r? (a) v (b) -1\/3 (c) -7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -91, 4, 5, 1 in decreasing order.\nAnswer: 5, 4, 1, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppggppgpppp. What is prob of sequence pgg?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 5\/351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4 = f + 4*r, 6 = -3*r. Let u be 18\/(f*(-2)\/(-8)). Calculate the highest common divisor of u and 288.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14718 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 8*s + 7. Let p be 2\/((-3)\/(-12)*-1). Let r be i(p). Let g be r\/2 + -5 + 2. What is the biggest value in -3, g, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -218 - -242. Factor -327*b + 2*b**2 - v - 38 + 267*b.\nAnswer: 2*(b - 31)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22349 + -22349.01. Which is the nearest to 2? (a) l (b) 34 (c) -3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2bc12 + 1?\nAnswer: 2bc13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 6*p + 5. Let w be b(-4). Let q(y) = y**3 + 8*y**2 + 14*y - 3. Let h be q(-5). Is w equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**3 - s**2 - s. Let j be b(-1). Suppose j*x + 0 = -4, -2*x - 64 = 5*l. Let n be (80\/(-3))\/(2\/l). Calculate the highest common factor of 20 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10 + -7 + 20\/(-8)*-9064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 11:34 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1941? (a) -2.98 (b) -0.5 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16497456 by -62.\nAnswer: -266088","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**(-2\/9)\/(f*f**(-4)*f**4*f))\/((f\/((f*f**(2\/3)*f*f)\/f))**44*f**(-6)*f**(-3)) assuming f is positive.\nAnswer: f**(721\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**4 - 16844*p**3 - 339596*p?\nAnswer: -12*p**2 - 101064*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13401 - 1?\nAnswer: -13402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s - 4 + 5*s - 2*s. Let b be r(6). Suppose h + b*m = 7*m + 5, 2*m = -3*h + 66. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(320) + 1)*3 + 1*sqrt(320) + 3)*6*-1)**2.\nAnswer: 13824*sqrt(5) + 185616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-123)\/(-410))\/(27\/15))\/(23\/54*3)?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 80676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 118.951 + -119.2. Put v, -1\/2, -1\/5 in decreasing order.\nAnswer: -1\/5, v, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 2\/3*t**3 - 86 + 0*t + 9*t**2 + 3\/2*t**4. What is the third derivative of y(p) wrt p?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241212859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -1.205645?\nAnswer: 4.82258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 17. Let n = -4 + c. Let j = -4 + n. What is the third biggest value in 0.5, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -596 = -n - n + 4*c, -2*c + 566 = 2*n. Let f be (n\/(-10))\/(-2 + (-822)\/(-420)). Suppose 17*x = 20*x - f. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 231 - 231. Suppose d = 12*p - 101 - 43. Solve 4*y + p = -3*t, -t - 3 = y - 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 266664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-21)\/(-4)*(9 - 5). Let u(w) = w**3 - 18*w**2 + 8*w - 135. Let r be u(18). Solve q - r = 6*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288362815?\nAnswer: 5, 13, 4436351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1362\/16740 - (1194\/108 + -11). What is the nearest to -1 in r, -4, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 w when two letters picked without replacement from {x: 1, y: 1, w: 1, u: 2, b: 1, j: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 819*j**2 + 779*j**2 + 3*j - 56*j**2 - 428*j**2 to the form g*j**2 + a + l*j and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 2:21 PM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.57 - -0.57. What is the nearest to 0 in o, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3042 divided by -39\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -5 + (3 - (0 + 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 = -40*m + 492 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/28 - -1)\/(114\/1197). Let s(i) = -7*i**2 - 3*i - 1. Let l(y) = 8*y**2 + 4*y + 2. Calculate q*l(u) + 7*s(u).\nAnswer: -u**2 + 3*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -k**6\/120 + k**5\/15 + k**3\/6 - 3*k**2. Let y be 4\/18 - 34\/(-9). Let g be r(y). Is -1\/3 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.5, 201, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64 - 61. Find the common denominator of -73\/12 and 1 + i + (-79)\/26.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38802 divided by -6?\nAnswer: -6467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 0*c + 4. Suppose 5*q - 11 - c = 0. Calculate the greatest common divisor of q and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/35 + (-163)\/(-7) + -4. Suppose t*u = 16*u + 249. Suppose -12 = u*r - 80*r. Is -21\/5 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 0.51.\nAnswer: -0.051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3064 - -3064.02. Sort -3\/8, -0.6, 5, v.\nAnswer: -0.6, -3\/8, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 8:37 AM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 11 + -31 + -15 + 16.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*c - 83*c = -43*c + 3*g + 30, -3*g = 2*c + 40 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5874 - 2*y + 5872 - 11746.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5*t**3 - 5*t**2 - 4*t. Let j(d) = -6*d**3 + 5*d**2 + 4*d. Let g(r) = 6*j(r) + 7*v(r). Let a = -14 + 11. Give g(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 18*u - 7. Let t(v) = 21*v - 8. Let s(g) = -6*r(g) + 5*t(g). Calculate s(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3120*a + 3117*a = -2*p + 13, -23 = 3*p + 4*a for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -229446 * -0.097.\nAnswer: 22256.262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1403, -5365, -11617, -19871, -29839, -41233?\nAnswer: -53765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/4 + 790\/4. Suppose -g = 2*v - 5*z, 525 = -5*v + 3*z + 2*z. Let c = v - -543\/5. What is the third biggest value in c, -3\/8, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7 + -181166.\nAnswer: -181165.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-820)\/22 + (-77)\/(69454\/(-246))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 9 + (-11 - -5) + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*c**2)*(5385 - 1454 + 9688 + 5214 - 531 + 5646) to the form q + d*c**2 + k*c and give d.\nAnswer: -47896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -594519, -1189036, -1783553, -2378070, -2972587?\nAnswer: -3567104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -75\/4 + 19. Let z(t) be the second derivative of -a*t**5 + 0 + 0*t**2 - 1\/4*t**4 + 0*t**3 - t. Find the third derivative of z(b) wrt b.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000023335 rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3157841.\nAnswer: 263, 12007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0948 + 96.5052. Let y = l - 97. Sort 4, 1, y, -11 in increasing order.\nAnswer: -11, y, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15546 (base 8) to base 9.\nAnswer: -10553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3*-4*sqrt(68) - sqrt(68) - sqrt(68))**2.\nAnswer: 27200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38538\/5 - 7710. Let t = -0.2 + 1.2. What is the closest to -1 in 2, o, t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30251491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - n = -3*p + 48, -4*p = -8. Suppose n + 123 = 5*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 + 1024?\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-204)\/10 + (-34)\/(-85). Let c = s + 23. Suppose c*j - 179 = -20. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -309*z - 3768. What is the remainder when o(-13) is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35 and 5173.\nAnswer: 25865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -238524*h**2. Let o(p) = 18*p**2. Give o(n(f)).\nAnswer: 1024086574368*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 2:55 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - x + 102320, -2*h = 3*x - 60361 - 41951. List the prime factors of h.\nAnswer: 2, 3, 8527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0.4 (c) -0.07 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 4) to base 12.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in 0.04, -1814, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -i - 4, 4*r = 4*i + 60. Suppose 22191 = -s + r*s. What are the prime factors of s?\nAnswer: 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-3) - 14560\/(-42). Suppose -2*r = -t + 5*t - 476, f = 3*t - r. Suppose -5 = 4*m - t. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2236099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-112 + 55 + 58 + 7*a)*(2*a + a - a).\nAnswer: 14*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 13010132000?\nAnswer: 13010132001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/810 and 76\/2187?\nAnswer: 21870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**3 + 4*v**2 + 6*v + 9. Is j(-4) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(720) + sqrt(720))*-3 + -3 - (sqrt(7920) + (sqrt(7920) - sqrt(7920)*-2) - sqrt(55))\/(sqrt(11) + (sqrt(132)\/(1*sqrt(12)) - sqrt(11))))**2*3.\nAnswer: -4284*sqrt(5) + 212523","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d + 3*d - d + (-4*d + 4*d + 9*d)*(-5 + 3 + 3)*(-2 - 2 + 1).\nAnswer: -28*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7}. Give prob of picking 2 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/9869 + 9659\/1036245. Let v(t) be the second derivative of 5*t - 3\/70*t**5 + 0*t**3 + 0*t**2 + 0 - d*t**6 - 1\/21*t**4. Find p, given that v(p) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a**3 + 8*a**2 - 23*a + 7. Let h(d) = -3*d**3 - 7*d**2 + 22*d - 6. What is -7*h(j) - 6*y(j)?\nAnswer: -3*j**3 + j**2 - 16*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(304) + -3 - (sqrt(304) - (sqrt(304) - (4*sqrt(304)*2 + sqrt(304)))))*2)**2.\nAnswer: 1024*sqrt(19) + 77888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68855 or -4888599\/71?\nAnswer: -68855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10000100011100011100010 (base 2) to base 13\nAnswer: b8c515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182 + 10 = -2*h - 2*s, 5*h - 3*s - 470 = 0. Calculate the greatest common factor of 56 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225*x - 3224333 - 564460 = 216*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 - 2*h + 89071. Let p(l) = 5*l. Determine p(s(g)).\nAnswer: 10*g**2 - 10*g + 445355","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 83*z + 156. Suppose -3*o - 703 + 709 = -6*o. Calculate a(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.786 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328 is divided by 60.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - z + 14 + 22, -z - 44 = -3*u. Suppose -15 = 3*r, r - 7 - u = -4*p. Suppose p*l + 10 = 12*l. Solve -a - 3 = 0, -l*a = -4*j + 9 + 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 1, -0.1.\nAnswer: -1\/5, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6568157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 474111.3l in millilitres?\nAnswer: 474111300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -2\/15, -1, 3\/4 in decreasing order.\nAnswer: 3\/4, -2\/15, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 23*v - 27*v - 2, -4*f - 4 = 3*v. Solve 74*p - 59*p + 135 = v for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37990\/231 + 1808\/11. Let q = -2 + 2.4. Which is the closest to -8? (a) m (b) 0.5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvwt when four letters picked without replacement from kpcpcpvvttwctwctpcwc.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 26. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/21 + 10\/(140\/(-6))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12145730, 12145729, 12145728?\nAnswer: 12145727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/56)\/(1\/4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*t = 4*c - 19, 5*t = -5. Let s(n) = -n + 3. Let v be s(0). Let g = 4 + v. Calculate the smallest common multiple of g and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 782*c + 1446*c = -2095*c - 203181 for c.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 12:55 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*d + 18 + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5979.\nAnswer: 3, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 65*y + 962. Calculate t(-3).\nAnswer: 767","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 759.3 - 760. What is the second smallest value in 0, 0.4, 46, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -6, 7654, 1, 4 in decreasing order.\nAnswer: 7654, 5, 4, 3, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of m**7\/105 - 643*m**5\/60 + 1111*m**4\/24 + 7*m**2 - 45. What is the second derivative of r(c) wrt c?\nAnswer: 24*c**2 - 1286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62151401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13745 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -52381*c*i*t + 700*c*i - 2211378*c*t - t - 2 wrt i?\nAnswer: -52381*c*t + 700*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-31)\/3 - (-6 - (-148)\/24). Which is greater: -10 or q?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4650, -4049, -3040, -1629, 178, 2375, 4956, 7915?\n\"Answer: -s**3 + 210*s**2 - 22*s - 4837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10174*b**3*s**2 - 48*b**2*s**2 - 4*b*s**2 - 5*b + 2*s**2 + 2*s + 31 wrt b?\nAnswer: -61044*b*s**2 - 96*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -8*p - 147. Calculate a(-19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-24024)\/624*4\/(-14)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 35422, 70810, 106198, 141586?\n\"Answer: 35388*b + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l + l - 3*l + (2 + 1 + 0)*(0*l - 3*l + l) - 3 - 9*l + 3 + 0*l - 2*l + 4*l)*(2 - 5 + 1) + 6*l - 3*l - 4*l in the form u + q*l and give q.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20984735?\nAnswer: 5, 37, 67, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + b - 3*b - 6)*(-1 - 1 + 4) + b - b - b + (b + 1 - 1)*(2 + 4 - 4) as a*b + l and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6959, 6939, 6919?\n\"Answer: -20*f + 6979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j**3 - 1. Let t be g(-1). Suppose -t*n - r = -40, 0 = 3*n + 3*r + 12 - 33. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 11.3. Let j = c - -0.8. What is the smallest value in 2, j, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1473 - -23559\/16. Let g = -3953 + 39563\/10. Calculate the common denominator of g and s.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b**2 + 5*b - 3. Let y be q(-2). Let c(a) be the third derivative of -1\/24*a**4 + 0 - 2*a**2 - 2\/3*a**y + 0*a. Differentiate c(o) with respect to o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lh when two letters picked without replacement from {h: 2, x: 2, g: 1, l: 2, p: 4, a: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 337194*b**2*h*j**3 + 21*b**2 - b*h**3*j**3 - 207*b*h**3*j**2 + 50*b*h*j**2 wrt j.\nAnswer: 2023164*b**2*h - 6*b*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/145376 and -47\/15576.\nAnswer: 436128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**3 - 3*v**2 - 4*v**3 + 2*v**3 in the form w*v**2 + p*v + m + s*v**3 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.189 + 1.0360805\nAnswer: 1.2250805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 330.8406 kilograms?\nAnswer: 330840600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (44 - 186*c - 44)*((c**2 - 6*c**2 + c**2)*(0*c + c - 2*c) + 2*c**3 + 4*c - 4*c) to the form a*c**4 + x + d*c + q*c**3 + o*c**2 and give a.\nAnswer: -1116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k**2 + 25*k - 192. Let z be t(6). Calculate the highest common divisor of z and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 6*f - 5. Let u be z(-2). Suppose 2*o = -y + 3, -4*y + u*o = -0*o - 23. Suppose y*k = 3*a + 2069, k - 54 - 371 = -5*a. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 263429532 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15\/2 + -9. What is the second biggest value in 10, k, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.57 - -0.43. Sort 0.6, f, -3, 4 in descending order.\nAnswer: 4, f, 0.6, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -w + 3. Suppose 5*o = 2*s + 29, s = o - w - 1. Solve 2*b = -o*l - 16, 0 = -2*l + 2*b - 7 - 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = x, -3*x = 4*j - 6*x + 35. Let s(a) = 4*a + 2. Let i(n) = -n - 7 + 4 - 3*n. Let b(c) = 3*i(c) + 2*s(c). Give b(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*n + x, 16 = 4*n + 3*x - 0. Suppose n = -2*l + 6*l. Does 11 divide 3 - ((-18)\/l + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 3*l**2 + 3. Let v be p(-3). Suppose i - 13 = -v*s, 2*s = -3*i + 6*s - 26. Let n be 12 + -9 + 0\/(-2). Sort -1, i, n in descending order.\nAnswer: n, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -271, -62.\nAnswer: -271, -62, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14171 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/4)\/((-1)\/(-12)). Let g(y) = -y + 1. Let r(p) = 3*p + 8. Let s(z) = g(z) - r(z). What is the units digit of s(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 432 + 74171.\nAnswer: 74603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -3*q - 3*i, 2 - 45 = 3*q + 4*i. Let j = 21 + q. Suppose -j*k = -2*w - 4, 4*k - 5 = w - 1. Solve 30 = 4*c + 5*b - 2, 4*b - k = 5*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 3*r**5\/20 - 3*r**4\/4 + r**3 + 54. Suppose w(c) = 0. What is c?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 2*y**2 - 6. Let m(v) = 3*v**3 - 51*v**2 - 7. What is m(b) - s(b)?\nAnswer: 4*b**3 - 53*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/15)\/(((g\/(g\/(g\/g**(-7)*g)))\/g)\/g)*(g*g*g\/(g*g**12))\/((g\/(g**11*g))\/g))**(-1\/8))**13 assuming g is positive.\nAnswer: g**(481\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 2*z + z)*(-2391 + 29*z**2 + 2391 - 2*z)*(2 - 2 + 3*z).\nAnswer: 87*z**4 - 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-54)\/(-6) - (0 + 4). Let r be 8\/(-28) - 23\/(-7). Factor -3*x + m*x + 3*x**2 - r*x + 4*x.\nAnswer: 3*x*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g - 2. Let f(c) = -6*c - 14. Let p(m) = -2*f(m) + 10*v(m). Suppose 0 = 2*o + 2*a + 20, 5*o + 15*a - 17*a = -43. What is p(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*m = 4, 3*r + 6 = -2*m + m. Let t be (13 - 7) + 1*r. Suppose t*j - 148 - 12 = 0. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k**2 - 48882*k + 195559. What is u(4)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7840004)\/8 - (-4)\/8. What is p rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 9:46 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 2176.\nAnswer: -3, 4, 2176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-4)\/(36\/(-9)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 3*q + 15 - 5, 3*v + 4*q + 22 = 0. Let m be v\/(-8) - (-140)\/16. Solve 4*k - k - m = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401062563.\nAnswer: 3, 11, 1350379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xkk when three letters picked without replacement from kcmmkxmmmcxk?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((4*(0 + sqrt(171)) - (-4 + (1 + sqrt(171) - sqrt(171))))**2 - (sqrt(171) + (sqrt(171) - (1 + sqrt(171))) + -5 - -4*(sqrt(171) + -1))**2) + 2).\nAnswer: -744*sqrt(19) + 3256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**4\/6 + i**3\/3 + 3*i**2\/2 - 2*i + 3. Let j(m) be the first derivative of k(m). What is j(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8519765 or 8519756?\nAnswer: 8519756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3 + 27 = 0. Suppose m + 3*k = 5*m - 18, -5*m = -4*k - 23. Solve 1 + j*c**2 + 6*c + 4 - 3 + 2*c**m = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43.665 - 3.005. Let j = k - 41. Let n = j + -0.16. Sort n, -5, 3.\nAnswer: -5, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 12*g**2 - 55*g - 10. Let a be k(8). Do -706 and a have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 20, 1, 1\/3, -12.5, 0, -3?\nAnswer: -12.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*w + 221 = 1, 0 = 2*w. Let q be (12\/15)\/(k\/(-10)). Which is the fourth smallest value? (a) 2 (b) -2\/7 (c) 0.4 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 668884 = 375116. Round x to the nearest ten thousand.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -53*b**3 - 8*b**2 - 161*b - 6. Let u(x) = -17*x**3 - 3*x**2 - 53*x - 2. Let j(o) = 3*h(o) - 8*u(o). What is the second derivative of j(v) wrt v?\nAnswer: -138*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 10. Suppose -y*q + 8*q - 210 = 0. Does 19 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/28 and 37\/1256.\nAnswer: 8792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8, 2\/5, 78, 109 in descending order.\nAnswer: 109, 78, 8, 3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 2850637.5\nAnswer: 2850639.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 23690.906 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1468*g**2 - 2690*g**2 + 287*g + 2011*g + 391*g**2 wrt g?\nAnswer: -7534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0*f = 6, 293 = b - 5*f. Suppose -3*j + 321 = -b. Is j a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dttt when four letters picked without replacement from dttnqttd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23005 (base 10) in base 6?\nAnswer: 254301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1045 + 11493\/11. Sort 0.1, s, -1, 4.\nAnswer: -1, s, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61 + -60 + (5 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.0874 + 0.2364. Let z = y - 0.149. Sort 1\/6, -2\/21, z in descending order.\nAnswer: 1\/6, -2\/21, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -420 + 459. Solve 19 = 5*d + f for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and 14147328?\nAnswer: 14147328.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -768 + 768 + 906*s in the form x + h*s and give h.\nAnswer: 906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -3, -11, 0 in ascending order.\nAnswer: -11, -3, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68177\/272740 + 2\/68185. Let i = -75 + 223\/3. Put 5\/9, s, -0.2, i in descending order.\nAnswer: 5\/9, s, -0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 10*z**2 - 1621*z + 12833. Calculate u(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4421.8 + 3606. Let o = 918 + w. Let f = o - 113. What is f rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-280)\/245*(-2)\/(-8). Let v = 89 + -49. Let g = -40.3 + v. Which is the fourth smallest value? (a) g (b) -5 (c) 2\/9 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2205002, -2205001, -2205000, -2204999, -2204998?\n\"Answer: m - 2205003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18159?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(2\/7))**13\/(c**(-2\/9)\/((c\/(c\/((c**(-2)\/c)\/c)))\/c)) assuming c is positive.\nAnswer: c**(752\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 1705*v + 20451. Determine o(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3962, 4147, 4378, 4673, 5050?\nAnswer: 5527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v - 1. Let b(h) be the third derivative of 5*h**4\/12 - 2*h**3\/3 + 22*h**2. What is -b(n) + 8*y(n)?\nAnswer: -2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o + 13. Let x(l) = -2*l + 14. Let h(p) = 3*r(p) - 4*x(p). Let q be h(5). Let b = -36 + q. Is b smaller than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -174040, -173901, -173764, -173629, -173496, -173365?\n\"Answer: -q**2 + 142*q - 174181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 6*o + 2. Calculate v(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - z**2)*(2*z**2 - 2*z + 2*z) - 3*z**4 - z**4 - 4*z**4 + 7*z.\nAnswer: -10*z**4 + 7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 213903142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11651*l + 2098*l**2 + 714025 - 5*l**3 - 33613*l - 105991*l - 383*l**2.\nAnswer: -5*(l - 169)**2*(l - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 5*l - 4*l + (7 - 4 - 4)*(-2*l + 4*l + 0*l))*(8 + 4 - 2).\nAnswer: -40*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -5, 4, -3 in descending order.\nAnswer: 4, -3, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.05, 0.1, 779?\nAnswer: 779","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-880)\/11*7\/(140\/(-96))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (0 - (-4)\/(-2)). Suppose -3*q = -q - 4*v + 14, -v + n = 0. Does 10 divide (-3 - -2)\/(q\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13778*s**2 + 38124*s?\nAnswer: 27556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22048, 44100, 66152?\nAnswer: 88204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p + 5. Let w = 131 + -132. Let c(q) = q + 12. Let f(m) = w*c(m) + 4*b(m). Let t(r) = 2*r + 5. Determine 5*f(k) - 8*t(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((5 + 1 + sqrt(117) + -3)**2 - ((sqrt(117)*2 + 0)**2 + (sqrt(117)*-1*2)**2)).\nAnswer: -805 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kedggpk. Give prob of sequence dp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dq when two letters picked without replacement from {q: 1, d: 1, e: 1, t: 5, p: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9, 4, -1, -6, -11, -16?\n\"Answer: -5*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 25 - -72cf26?\nAnswer: 72cf4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35\/726 + -94733\/1242186. Let r = 71907\/181366 - f. Find the common denominator of -5\/6 and r.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 3, -4, -5, 94, -25 in decreasing order.\nAnswer: 94, 12, 3, -4, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 9. Put -2, o, 3 in ascending order.\nAnswer: -2, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4 + 2. Calculate the least common multiple of (6\/4)\/(15\/10) and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 + 1\/4*m**5 - 161\/4*m**3 + 157*m - 47\/2*m**2 + 25\/2*m**4 = 0. Calculate m.\nAnswer: -53, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 117507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-804)\/(-54))\/((-3038)\/13671)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9368409, -18736817, -28105215, -37473597, -46841957, -56210289?\n\"Answer: m**3 - m**2 - 9368412*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + k - 2 = -6*u, 3*k = -5*u + 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 6*i + 6*i + 7*i + i + 8*i.\nAnswer: 16*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140706 is divided by 1599?\nAnswer: 1593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5987*y**3 + 6*y**2 + 4*y - 5. Calculate w(1).\nAnswer: 5992","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 185*j**2*s - 599*j**2 + 2*j with respect to s.\nAnswer: 185*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 872?\nAnswer: 1744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 264 - 88 - 86 - 91 - 1439*r to x*r + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (0 - (-228)\/(-8))*4*-11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 22.6. Which is the nearest to 0? (a) -33 (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 + 283\/6. Let x(p) be the second derivative of -2*p + 3*p**2 - g*p**3 + 0. What is x(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (-1 + sqrt(171)*-2 + sqrt(171)))**2 + ((-5 + sqrt(171))**2 - (sqrt(190)\/sqrt(250) + sqrt(19))).\nAnswer: -96*sqrt(19)\/5 + 881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(2\/7))\/p)**(-16\/11)\/(p\/(p\/(p**(-1\/2)\/p)))**(-39) assuming p is positive.\nAnswer: p**(-9297\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 19 + 89. Let g = -469 + 488. Let f = p - g. Solve -3*j = -j - f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 16*n - 57. Let p be l(-19). Suppose p = -11*q + 10231 + 2496. Does 28 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, n: 1, l: 5, g: 2, c: 5, u: 1}. Give prob of sequence gll.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1106*n**4 + 59728*n**3 + 806490*n**2 + 2916*n = 0.\nAnswer: -27, -2\/553, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -543 + -50?\nAnswer: -593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1647181 - 169531. Let c = j - -1816766.99724. Let y = -55 + c. Round y to four dps.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24.7 - 24. Let v = q + -0.8. Let f = 3.5 - 3. Which is the closest to v? (a) f (b) -1\/5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = 10*n - 87 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 3:31 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**3\/5 + 13334073*s**2\/5 - 2666814*s = 0 for s.\nAnswer: 0, 1, 4444690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 4 - 2*h - 3 + 4*h**3 as t*h**2 + c + v*h + u*h**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 20 = -5*y. Suppose 17 = 3*p + y. Solve -k - 3*b = 3, 0*k = -3*k + p*b + 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2880 is divided by 405?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 515296318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -536*i**3 - 2*i**2 - 182 wrt i.\nAnswer: -1608*i**2 - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212444779.\nAnswer: 212444779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-eight fifths of a micrometer?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 - 0 - (-975)\/(-120). Sort 2\/7, -6.3, g in decreasing order.\nAnswer: 2\/7, g, -6.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**4 + 983198632*p**3 - 158152166*p**2.\nAnswer: -48*p + 5899191792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115237019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25.97132 * -43.\nAnswer: -1116.76676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -727 - -715. Which is the nearest to 1? (a) z (b) 0.1 (c) -0.1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41815339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + 2*r**2 - 5*r**2)*(-3*r + 6*r - r)*(563 - 563 - 28*r).\nAnswer: 112*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/6)\/1*4. Let i be (d\/6)\/(1\/(-121)). Let s = -40 - i. Which is the biggest value? (a) 5 (b) s (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7*w**3 - w**2 - w + 1. Let s = -47 + 48. Determine l(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13813.9 rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*h - 3*f + 7, -3*f = -4*h + 15. Suppose -14*j + 9*j = -35. Calculate the lowest common multiple of h and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 131068 + 166159. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -345 + -117. Let x = k + 465. Solve -x*y + 4*f + 10 = -y, 0 = -3*y - 3*f - 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42063.\nAnswer: 3, 7, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64518454.\nAnswer: 2, 7, 11, 13, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/38412 and -149\/24.\nAnswer: 76824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 88702154 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 - 33. Let q = 18.99999925 - h. Round q to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*a = 3, 0 = -3*a + 5*a. Suppose -o = -5*k + 37. Let b be 42\/3 + (-1 - 1). Calculate the greatest common factor of k and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2553 - 3370. Which is smaller: -818 or z?\nAnswer: -818","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 7*d + 5*k + 175, 0 = -2*d + 2*k - 92. Calculate the common denominator of d\/(-14)*(-13)\/5 and 52\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x. Suppose -6*v + 6 = -4*v. Let z(k) = 26 + v*k**2 - 26. Calculate w(z(a)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3432939 is divided by 434.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*j - 3*d, 3*j + 3*d - 10 = -j. Suppose -2*r + 6 = n - 15, 2*r = n - 1. What is the remainder when n is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 46806316?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 19*k**2 + 69*k - 328. Calculate v(16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.45 + 0.05. Suppose -3*n - 18 = -3, -2*h - 4*n = 24. What is the closest to 1 in h, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 11. Let i be (-1 + 14\/8)*k. Let z be -3 + 5\/(15\/6). Put -4, z, i in ascending order.\nAnswer: -4, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 15972*o + 79596. Determine l(-5).\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + 18353 + 6 + (-20)\/(-25)*5.\nAnswer: 2, 9181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*n**2 - 3*n**2 + 12*n**2 + 3*n**2 to the form x*n**2 + d*n + a and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 15 - 90 = -3*u + 15, 0 = -4*v + 13*u - 534 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*l**5 + 22*l**5 + 92*l**5 + (-15*l**2 - 4*l**2 + 7*l**2)*(0 + 0 - 2*l**3).\nAnswer: 106*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -0.08 (b) -4 (c) 1 (d) 4 (e) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 5, -3\/5, 9\/7, -342?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 29.28472 from -2.54.\nAnswer: -31.82472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 33, 2 in increasing order.\nAnswer: -2, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2567, 5169, 7771, 10373, 12975, 15577?\n\"Answer: 2602*q - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -s**3 + 121*s + 2. Let w be 24\/14 + 2\/7. Let t(g) = -g. Let u(v) = w*t(v) + x(v). Let k(l) = 4*l**2. Calculate u(k(n)).\nAnswer: -32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnzg when four letters picked without replacement from nszzsssgnznzznsgzgz?\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 51+10001\nAnswer: 10052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaapaapapa. Give prob of sequence app.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(7) + 3*sqrt(28)\/sqrt(4))*-2 - (sqrt(7)*-1 + sqrt(7) + 2 + 4)) + -5)*1.\nAnswer: -8*sqrt(7) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + r**3 - 27*r + 4 + 2680*r**2 - 5 - 2684*r**2 - 4 in the form u*r + i*r**3 + m + c*r**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 3*w**4 - w**3 - 5*w**4 + 0*w**3 + 7. What is the third derivative of v(g) wrt g?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 + -62. What are the prime factors of -39*(-8)\/(-3)*u\/24?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -187 + 191. What is the nearest to 0.07 in o, 0.2, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -120 - 1?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**5 + 6*u**4 - 6*u**3 - 8*u**2 + 4*u + 6. Let h(p) = -p**4 - p**3 - 1. Let v(w) = -2*h(w) - x(w). Factor v(z).\nAnswer: -4*(z - 1)**2*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*r - 15*r - 396 = 0 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -6890c?\nAnswer: -68909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = d - 46, -d - 17 = 10*p + 2*p - 5*p - 81 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 5*s**2 - 6*s - 12. Let z be k(-6). Let r(f) = f + 19. Let x be r(z). Suppose x*m - 864 = -m. Calculate the highest common factor of m and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100111111111 (base 2) in base 15?\nAnswer: b59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -5, 5\/2 in descending order.\nAnswer: 5\/2, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 100*t - 2720. Let h be m(-128). What is the greatest common factor of h and 2208?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -4. Let c(z) = -z**2 - 15*z + 10. Let r(k) = 2*k**2 + 15*k - 9. Let p(h) = b*c(h) - 2*r(h). What is the lowest common multiple of p(14) and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - 0)*15\/(-30). Suppose 5*y - 2*y = -f*a + 6000012, 0 = 3*a + 4*y - 9000016. What is a rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 - 164*l**2 + 976*l - 816.\nAnswer: 4*(l - 34)*(l - 6)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**5\/7 - 20*g**4\/7 - 4*g**3 - 12*g**2\/7 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**2 - 3*t + 1. Let y be 2*-1*((-3)\/3 - 0). Determine i(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84*q**4 - 1715*q**3 + 1715*q**3)*(-q + 2*q + 3*q) - q**5 + q**3 - q**3 - 2*q.\nAnswer: -337*q**5 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6*y**2. Let z = -92 + 149. Let g = z - 33. Let p(r) = -24 + 2*r + g + r. Calculate p(b(c)).\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 2*t**2 - 4*t - 3. Let u be l(-3). Suppose -2*z + 7 = -5*p + 26, -3*p = z - u. Factor 0 - 3\/2*h**z + 3\/2*h**2 + 3*h.\nAnswer: -3*h*(h - 2)*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 115, 261, 465, 727, 1047?\nAnswer: 1425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus -0.947?\nAnswer: -1.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*t = -30. Suppose -t = -3*j, 0 = 3*p - 4*j + 2*j - 68. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51935134?\nAnswer: 2, 311, 83497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 6*c. Let q be w(6). Suppose m - 2 = -q. Suppose -2*f = -4*o - o + 167, o + m*f = 43. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.62999 and 0.319927499?\nAnswer: 1.310062501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1595421471945 less than -0.055?\nAnswer: 1595421471944.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*q = 115874, -16864 = -l + 4*q + 12109. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 1743083?\nAnswer: 3\/1743083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-4)*m\/m**(-2\/5)*m**(-6)\/m*m**(-3\/2) assuming m is positive.\nAnswer: m**(-111\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h + 12 - 12)*(-7 + 0 + 3*h + 4) to o*h + f*h**2 + x and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of o**5\/20 - o. Let q(u) = u**3. Suppose i = -r + 1, i + 26 = -2*r + 27. Calculate i*q(g) - 3*c(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/b**(-3)*b))**46\/((((b**(1\/4)\/b)\/b)\/b)\/(b\/(b\/(b**23*b)))) assuming b is positive.\nAnswer: b**(-813\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 341921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s + 10*s - 120000 = 0. What is s rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25396 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -77692 + -59?\nAnswer: -7772b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -5\/6*m**3 + 0*m - 1\/2*m**4 + 0 + 4*m**2 - 1\/60*m**5. Calculate the smallest common multiple of t(-5) and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + (4*sqrt(70))\/sqrt(10)).\nAnswer: -4*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3c5 - -396b2?\nAnswer: 39a77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 12 + -18 + 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 144, 545, 1218, 2163, 3380?\nAnswer: 4869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**3 + 32*f**2 + 10*f + 39. Does 70 divide w(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/8 - u**2 - 53*u\/8 + 15\/2.\nAnswer: (u - 12)*(u - 1)*(u + 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/3163 and 97\/16.\nAnswer: 50608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18055, -18054, -18053, -18052, -18051?\nAnswer: -18050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s - 2683 = 305. Let p = 5962 - s. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -14\/163409?\nAnswer: -14\/163409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 2\/13, -6, -63, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in -0.66, -0.02, 2\/15, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 11 + 3 = -3*v + t, -122*t + 0 = -30*t - 184 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**4 + 66*x**3 - 231*x**2 + 276*x - 108 = 0. Calculate x.\nAnswer: 1, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -5, -158 in descending order.\nAnswer: -5, -12, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05903432793 rounded to 3 dps?\nAnswer: -0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 bigger than 5\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -133492 in 1\/6, 0.2, -1\/5, -2\/11, 2\/11, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -135, -2, 1.1 in decreasing order.\nAnswer: 1.1, -2, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - g + 8 = -3*g, -3*s = -4*g - 16. Let r be 12\/20 - (-36)\/(-10). Let z be (r - s\/4)\/1. Sort 2\/9, 0.3, z.\nAnswer: z, 2\/9, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2074 + 2749 = 120*m - 639 - 1378 for m.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/2 + -2\/3. Let k = 88004 + -88009.6. Is s > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -16 and -15137\/898 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 11:19 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 25481155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174757670?\nAnswer: 2, 5, 17475767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 7 = -2*c - 7, -2*w - 9 = 3*c for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j**2 + j + 6. Let k(f) = -9*f**2 - 3*f - 11. Let r(g) = 3*k(g) + 5*y(g). Calculate r(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2378 - 2378. Suppose 4 = 3*g - 8. Suppose -x + g*r - 18 = 0, 0*x - 5*x = -4*r + 10. Solve p*q = x*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.081 + -1.501. Let k = -1.4199738 - u. What is k rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -59, -72, -65, -32, 33, 136, 283?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 2940?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 36 = -5*k. Suppose 5*v - 22 + 3 = f, -2*f = -2*v + k. Suppose 3*h + 16 = 124. Solve -v*l + 4 = 4*m, -4*l = -3*m - m + h for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4162960 divided by 61220\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ndxn when four letters picked without replacement from {x: 2, d: 3, n: 4, z: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 - -40. Suppose -172 = 2*m + 3*m - 3*b, -b + 139 = -4*m. What is the remainder when (15\/(-25))\/(1\/m) is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 68\/(-17) + (-8)\/(-2). What is the fourth smallest value in 5\/7, c, 2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 221 - 122. Suppose -z = -4*h + h. Calculate the remainder when h is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + 0.1. Let b be -2*9\/6 - 20. Let s = b - -30. Which is smaller: s or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by -2220003.\nAnswer: -16\/2220003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15151.\nAnswer: 109, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = i + 3, 0 = -4*i - 0*i - 12. Let j(h) = -h - h + a*h. Let r(w) = -2*w. Determine j(r(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (0 + 4 + -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 128 + -128. Let f = -0.31 + 0.01. What is the biggest value in f, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 3*g**2 - 2*g - 1. Let u be m(-2). Let z(j) = -9*j - 1. Let s be z(u). Suppose -3*n + s*n = 385. Round n to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -637631*q - 48459954. Calculate r(-76).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 1067 = 317. Let f be (-3)\/(d\/445) + -3. Let h = f - 13\/2. Find the common denominator of h and 101\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -3\/64, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1\/3))\/(a\/(a\/(a**(-34)\/a))) assuming a is positive.\nAnswer: a**(107\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -12, -13.7, -0.4, 9 in descending order.\nAnswer: 19, 9, -0.4, -12, -13.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 69 - -b?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -a1615 (base 16) to base 12\nAnswer: -27a645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.2 (b) -4\/7 (c) -18\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -0.3 (c) 167\/109\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -2, -4, -12712 in descending order.\nAnswer: 3, 1, -2, -4, -12712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - n = -0*n + 202, 85 = 2*b + n. Suppose 0 = 2*t + 4*f - 62, -t + b - 13 = 5*f. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1610803 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 2:36 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 7*q**2 + 4*q + 1. Let y be j(-5). Let s = -52 + y. What is the common denominator of s\/(-14) - 1\/6 and 74\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1032*u**3 - 4 - 1030*u**3 + 4.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 777?\nAnswer: -777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 106092984 to the power of 1\/2, to the nearest integer?\nAnswer: 10300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-9)\/30)\/(264462\/(-20035))?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**6\/120 + 3*r**5\/20 + 7*r**4\/24 - r**3 + 4*r**2. Let o be t(-8). Solve o*z = 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17525894 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 97*d**2 + 189*d - 8. What is n(95)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1553 divided by 1.\nAnswer: 1553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 140 - 115. Calculate the remainder when 141 is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 18 = 2*z, 0 = -4*z + 2 - 6 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -25*k**2 - 5704*k - 666. Give b(-228).\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282*f + 5900716 = 358*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**2*c)\/(c\/(c**3*c))*(c*(c*c*(c**(-1\/2)\/c)\/c*c)\/c)**25 assuming c is positive.\nAnswer: c**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 1, 5, 0.131 in decreasing order.\nAnswer: 5, 1, 0.131, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 12\/(-10))\/(30\/(-150)). Sort j, 3, 0.\nAnswer: 0, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -915 less than -916?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6352 and 10005988.\nAnswer: 1588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p**5\/20 - 5*p**4\/12 + p**2 + 5*p. Determine v(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**5\/30 + 2*d**2. Let p(c) be the first derivative of 0*c - 7\/3*c**3 + 0*c**2 + 4. What is p(n(u))?\nAnswer: -28*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*g**2 + 6*g**2 + 0*g**2 + (-g - 5*g + g)*(2 - 4 + 4)*(2*g + 0*g + g) to the form c*g**2 + t + m*g and give c.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/803 (b) 4 (c) -0.06 (d) -0.031 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 r, and 2 i when four letters picked without replacement from {v: 5, r: 1, b: 2, a: 1, i: 6}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120) + 1*sqrt(120)*-5)\/(sqrt(96)*2 + sqrt(6)))\/(-2*sqrt(108)\/sqrt(48))*-5.\nAnswer: -40*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 657*a**4 - 67451*a**3 - 12*a - 2369672 wrt a.\nAnswer: 7884*a**2 - 404706*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/9602 - -19209\/48010. Solve 2*i**4 + p*i**3 + 0*i + 0*i**2 + 0 = 0.\nAnswer: -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14671 - 2641 = 10*z. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 6*b - b. Let m(s) = -s**2 + 2*s + 4. Let f be m(b). Solve 0 = 2*g - f*q - 6, -5*g - 3*q = -9 - 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 + ((-1080385)\/(-176392) - (-18)\/(-144)). Are y and -0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h, -4*h = -5*x + h + 975. Calculate the greatest common divisor of x and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2862758605.7 to the nearest 10000.\nAnswer: 2862760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.193 + -0.107. What is the closest to 4 in 10, 1\/3, 0.3, k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1347*h*p*x**2 - h*p*x + 533*h*p - 49*h - 4*p*x - 2*p wrt x?\nAnswer: -2694*h*p*x - h*p - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-70 + 32) - (44 + -2)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h + 18*h + 41160 = 0. Suppose 0 = -6*d + h - 2706. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61\/97 not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (16\/24)\/(8\/4320). What is the highest common divisor of q and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 3*a + 2 = 0, 3*u + 1155*a = 1153*a + 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1772 divided by -5.\nAnswer: -1772\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -k**2\/2 - 7*k - 6. Determine q(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 5156 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1840 - 1839. Put t, 2, 4 in increasing order.\nAnswer: t, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 17. Let l = r + 1. Let j = 6.46 - 3.46. What is the third biggest value in l, -2\/9, 0.3, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2293 - 1405. Calculate the remainder when i is divided by 128.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -478683377983 plus -0.3?\nAnswer: -478683377983.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -1. Let h(m) = 95*m**2 - 4*m + 8. Let r(u) = 111*u**2 - 5*u + 9. Let b(s) = -7*h(s) + 6*r(s). Give b(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 2, 827, -3\/7 in increasing order.\nAnswer: -3\/7, 2, 827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i - 2*i**2)*(2*i**2 - 5*i**2 + 2*i**2) + 4*i**4 - 3 + 3 + (-3*i**2 + 0*i**2 + 2*i**2)*(2*i**2 + 2*i**2 + 6*i**2).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 143 and 1287?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 0. List the prime factors of (-58)\/(-4) - k\/(-4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -6 + 12 + (27 - (19 - 11)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5900822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2847*a - 2847*a + 118*a**2)*(0*a + 7*a + a).\nAnswer: 944*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*b - 5. Suppose -s = -0*s - v - 9, 53 = b*s - v. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -0.4, 19, 2\/7, 0.06.\nAnswer: -0.4, -1\/6, 0.06, 2\/7, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - -2230?\nAnswer: 2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**4 - 1000*w**3 + 36800*w**2 = 0. What is w?\nAnswer: 0, 40, 460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 11) to base 4\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/850590 and 97\/283530.\nAnswer: 850590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4741859?\nAnswer: 4741859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - -2)*(-113 - -4486) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.74 + 1.95. Let k = -0.21 + t. Let s = 193 + -1353\/7. Which is the closest to s? (a) 2\/5 (b) k (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u - 5. Let s be j(-5). Suppose -3*y - n = -s, -n + 20 = -5*n. Is (1\/(-3))\/(y\/(-435)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 311 + -43?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.47, -1, 6, -1\/67 in increasing order.\nAnswer: -1, -0.47, -1\/67, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1240467016 to the nearest integer?\nAnswer: 35220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-21) + (-74)\/14. Let v(y) = y**2 + 6*y + 6. Let b be v(g). Let z be (5\/(-4))\/(4\/(-16)). Calculate the highest common factor of z and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7367267153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -6*j**3 - 9*j**2 - 17. Let b(w) = -3*w**3 - 4*w**2 - 8. Suppose 2*t - 4*a - 12 = -a, 2*t + 3*a = 24. Calculate t*b(y) - 4*o(y).\nAnswer: -3*y**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/24842 and -101\/4?\nAnswer: 49684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58840\/52956)\/(52\/(-18))?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 31.2 times -0.522003\nAnswer: -16.2864936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 9*o**6\/10 - o**4\/3 + 29*o. Find the third derivative of j(b) wrt b.\nAnswer: 648*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 + a - 1. What is d(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 875 is divided by 432?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 1, -1\/11, 0.2, 5\/2, -1605 in decreasing order.\nAnswer: 5\/2, 1, 0.2, -1\/11, -17, -1605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 267 + -494. Let i = 322 + a. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 13*h**2 + 9*h - 32. Let s(f) = 11*f**2 + 9*f - 30. Let z(g) = 6*r(g) - 7*s(g). Calculate z(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 125 - 76. Differentiate 49*a**3 - x*a**3 - 51 - 88*a**4 wrt a.\nAnswer: -352*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3759*b**2 - 3123*b. Let i(n) = 1882*n**2 + 1560*n. Let x(o) = -3*g(o) - 5*i(o). Find the second derivative of x(v) wrt v.\nAnswer: 3734","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6360 is divided by 230.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30980 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2393 - -12?\nAnswer: 23a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 144*v - 6. Let z(q) = 3*q**2 - 408*q + 17. Let m(b) = 17*c(b) + 6*z(b). Let f(w) = -978*w + 1. Calculate f(m(g)).\nAnswer: -978*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 126*l - 138. Is r(24) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, l: 3}. What is prob of sequence lll?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -929*m - 34. Is g(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (34\/6)\/((-721)\/309 + (-9059)\/(-3882))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4323 = -54*t + 51*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25770604 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225532 is divided by 10242?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*s**2 + 26 - 23 - 12*s**2)*(0*s - s + 0*s).\nAnswer: 20*s**3 - 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -300020 (base 5) to base 14\nAnswer: -35c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4081 or -4082?\nAnswer: -4082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 a when three letters picked without replacement from fafafa?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 58 = -j + 55, -5*u = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 794897399 to the nearest integer?\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -111\/2*j + 53\/2*j**2 - 10 - 3*j**3 = 0.\nAnswer: -1\/6, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*y - 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2034 + 132?\nAnswer: 2221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 1 = -r, m + 0*m - 14436 + 14459 = -6*r for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*v**3 - 196*v**3 + 403*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.175 (b) -80 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 3*g**4 + g**2\/2 - g + 1. Let s(w) = 2*w - 3. Let q be s(2). What is the units digit of v(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 936 a factor of 5380994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 373, 3, -1609 in increasing order.\nAnswer: -1609, -1, 0, 3, 373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2171*m**2 + 1 + 812*m**2 - 96*m**2 - 86*m**2.\nAnswer: 2801*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11f5 + -2?\nAnswer: -11f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-14)\/6)\/((-3)\/(-144)). Let o = 126 + n. Calculate the remainder when 94 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3563, -14463, -32621, -58031, -90687?\n\"Answer: w**3 - 3635*w**2 - 2*w + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -1342?\nAnswer: -1344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(-4*y + 3*y + 2*y) - y - 3 + 3 + (0 + y + 0)*(0 - 1 - 1) + (2 + 0 - 5)*(1 - 1 + y).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + v + 1. Let u = 0 + 1. Suppose -2*y = -3*y - u. Let i be n(y). Solve 4*p = -3*j - 2 - i, -p - 1 = j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 5*h - 616778 = -6*v - 616768, -18*h = 5*v + 36 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 379 = -d - 4*b, 2*d + 0*d + 4*b = -766. Let w = 211 + d. What is the common denominator of -59\/7 and ((-2)\/(w\/(-68)))\/(-1)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151147253 to the power of 1\/2, to the nearest integer?\nAnswer: 12294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -7*u**2. Let b(i) be the third derivative of 0*i**3 - 1\/15*i**5 - 15*i**2 + 0*i**4 + 0 + 0*i. Determine b(w(p)).\nAnswer: -196*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56247 is divided by 74?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*q**2 + 6*q**2 + 2 + 1 as d*q**2 + y*q + l and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 divided by 6?\nAnswer: -53\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/3*(40\/(-100))\/2)\/(1\/69)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6261779\/10 + 627465. Let z = c + -1283. Calculate the common denominator of z and -43\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*r = r + 13, 5*y - r - 10 = 0. Let n(f) = f**2 + 3. What is the remainder when 47 is divided by n(y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 438*m + 6327. Determine h(-12).\nAnswer: 1071","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**6 + 15*a**5*v - 2*a**4*v + 32*a**2*v + 3*a*v - 1 wrt a?\nAnswer: 240*a**3 + 900*a**2*v - 48*a*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 6 = -4*a. Let v(l) = 13*l - 1. What is v(a)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(-15))\/n*n*n**14\/n)\/(n**(-1\/7)\/n*(((n\/((n**5\/n*n)\/n))\/n)\/n)\/n*n*n) assuming n is positive.\nAnswer: n**(246\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-136 - 0) + (-8 - -11) + 598 + -597.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l + 7 = -16*l - l - a, -3*l + 5*a + 3 = -10*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3 - 5. Solve -r*y + 3*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 829 at least 829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -65552261?\nAnswer: -65552261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5*a + 152225 = 0, -5*h + 2*a = -192996 + 40743. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of 10\/21*i**7 + 0*i**6 - 2*i**4 + 0 - 15*i + 0*i**3 + 0*i**5 + 0*i**2. Find the third derivative of x(m) wrt m.\nAnswer: 1200*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 10) to base 4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (153\/3)\/(18\/618). Calculate the greatest common divisor of c and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -682674 and -0.7.\nAnswer: 477871.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -3289896 to the nearest 100000.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9413 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = t + 92, 0 = -6*t + 3*t - 5*d - 292. What is the tens digit of (-6 - (-1)\/2)*t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 8:17 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iaaiaaaaa. What is prob of picking 2 a?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 519990 = -2*p, 692574 + 347416 = -4*p - 2*s. Round p to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 0 = f. Suppose -5*x - f*z + 17 = -14, -3*x + 2*z + 11 = 0. Solve -5*r = -3*c - 14 + 2, 0 = 2*r + x*c + 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00240805 to five dps.\nAnswer: -0.00241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/5)\/(32\/(-20)). What is the nearest to c in -3, -4\/9, -4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -3*n + 18, 10*i = 2*n + 14*i - 16. Solve -7 = 2*a + j, n*a + 0*a + 22 = -4*j for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l + 0*l - 4*l)*(134*l**2 + 12*l**2 + 442*l**2)*(-10*l + 1 - 1).\nAnswer: -11760*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (30661 - 5)*1250\/8. What is w rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1357, -1239, -919, -295, 735?\n\"Answer: 17*i**3 - i**2 + 2*i - 1375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 7*n**2 + 11*n + 4. What are the prime factors of h(8)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4 + 366 - 31*d - 11*d - 366 + 8*d - 38*d**3 - 70*d**2.\nAnswer: -2*d*(d + 1)**2*(d + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + s**2)*(4*s + 3*s - 5*s)*(-s + 3*s - s)*(-4 + 4 - 1).\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -5*q - 303625, 2*z + 0*q = -5*q - 151825. Round z to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -563 - -1173. Let r be -291 - 2*3\/(-6)*0. Let f = r + x. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(3\/(-2)))\/((-192)\/864). What is the third derivative of 6*i**2 - 29*i**2 + 42*i**3 - 4*i**c + 24*i**3 wrt i?\nAnswer: 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 5*z + 2. Let m be t(7). Let n = -22 + m. What is the remainder when 8 is divided by (-13)\/(-3) + (-4)\/n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 13207379\/(-38535) - 54\/90. Let n = c + 10\/2569. Let l = n + 340. Which is smaller: -3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 7426\/25, -2\/13, 3, 0, 5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4 - 4 - 2*x**2 - 27*x + 8*x + 0. Let w be p(-8). Which is bigger: 12 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -323301 (base 5) in base 2?\nAnswer: -10101101000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 24010*m - 216004. Let z be 0 + 3 + -2 - -1. What is the least common multiple of a(9) and z\/8 - 261\/(-12)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqq. What is prob of picking 4 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) + 2*sqrt(102))*4)\/(sqrt(48)\/sqrt(2)).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**3\/6 - j. Let y be 880\/(-132) + (-2)\/(-3). Let p(d) = 5. Let t(f) = y*h(f) - p(f). What is the derivative of t(r) wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 2*p - 2*p**2)*(2*p + 0*p + 2*p) + 3*p**3 - 3*p**3 + p**3.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7215201.\nAnswer: 3, 7, 16361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9507069 and 819.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -9*t - 3. Let v(o) = -o**3 + 4*o**2 - 5*o. Let l be v(2). What is the tens digit of g(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/5*l**2 + 2088\/5*l - 544968\/5 = 0. Calculate l.\nAnswer: 522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 0*i**2 + 42 - i**2 - 32 - 6*i. Let d be j(-7). Solve -4*s = -d*k - 12, s = -4*s - 2*k - 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.4, 1667.2, 0.1, -5, -6\/7, -1?\nAnswer: 1667.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = t - 2*m, 0 = -t + 5*m for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 10*c**2 - 539*c - 2265. What is z(-4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5023 and 17.\nAnswer: -85391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 8*x**2 + 5*x + 3. Let l(g) = 9*g**2 + 6*g + 4. Let r(i) be the second derivative of i**3\/2 + 41*i**2 + 160*i. Let z be r(-26). Give z*h(s) - 3*l(s).\nAnswer: 5*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 467 - 277. Let u = y + -113. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 + -734375228715\nAnswer: -734375228715.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*d**4 - 5*d**4 + 6*d**4 + (-1 + 1 + 1)*(335*d - 8*d**4 + 57*d**4 - 331*d) to the form v*d**4 + f*d**3 + y + k*d + u*d**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 37483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*0.06.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -o**3\/3 + o**2 + 1986*o. Let m(l) = l**3 - 11*l + 10. Let n be (-3 + 1)\/((-4)\/(-22)). What is n*i(d) + 2*m(d)?\nAnswer: 2*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 9*q**3 - 5*q - 9. Let r be g(4). Let f = r + -542. Solve -4*p + k = f, 4*p + 4*k + 16 = 2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3666464699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4246 + -4244. Solve -15 = 5*x - 2*x, -l + 5 = -r*x for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4299991 is divided by 553?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1008)*1 + 4)**2 - (-2 + sqrt(77)\/(sqrt(704)*1)).\nAnswer: -1537*sqrt(7)\/8 + 4050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 != -3404\/123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -403*z**4 - 6968*z**3 - 28*z**2 + 2*z + 102170.\nAnswer: -9672*z - 41808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -343*q + 346*q. Let x be (q\/14)\/2 - -1. What is the biggest value in 0.5, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 4:31 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/16227 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2146866419?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/((704\/162074)\/8). What is the highest common factor of 106 and c?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 362 + 1952?\nAnswer: 1cb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2400*p - 576000 - 5\/2*p**2.\nAnswer: -5*(p - 480)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.50492 meters in millimeters?\nAnswer: 26504.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -4, -6, -0.3, -40.\nAnswer: -40, -6, -4, -2\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(300)*2) + (sqrt(448) + -5 + -1)**2.\nAnswer: -959*sqrt(7)\/10 + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) 0.1 (c) -7 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 o, 1 f, and 1 b when four letters picked without replacement from {x: 3, p: 2, o: 3, f: 1, b: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12*3\/(-14))\/(12\/(-24)). What is the closest to z in 0.5, 1\/9, 1\/3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 2 (b) -0.08 (c) 16 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 149*j**5 + 16*j - 261*j**5 + 139*j**5 + 39*j**4 + 16 + 42*j**4 - 104*j**2 = 0. What is j?\nAnswer: -2, -1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1526 + 8*v + 1526.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - 23. Suppose 0 = -2*x - 4, 0*p + p = -m*x + 5. Solve 0*t + 5*t - p = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 128306 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72 + -76. Calculate the common denominator of 22\/21 and 2\/i + (7 - (-2442)\/(-324)).\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 50397.96mm?\nAnswer: 50397960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 706 (base 8) to base 7\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5*x**2. Let l(u) = 1177*u. Give l(m(k)).\nAnswer: -5885*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3583823?\nAnswer: 1019, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 4*t**3 + 26984*t**2 + 10999600*t + 1157356512 = 0.\nAnswer: -6318, -214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 5*q - 4, 3*m - 6*m + q + 8 = 0. Let j be 2 + (0 + 0)\/m. Suppose 0 = -c - p - j*p + 2, -12 = 3*p. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 101111?\nAnswer: -101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -257 - -261. Let v(a) = -4*a**2 - 4*a + a - 2*a**3 + u*a**3 - 5*a**3. Determine v(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 403 - 1208\/3. Let j = -2.3 + 0.3. Put -0.4, i, j in decreasing order.\nAnswer: i, -0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, 11, -3, 0.03, 0.01951, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3.359496 days?\nAnswer: 290260.4544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 2803848.\nAnswer: 1\/934616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*o - 5*o + 21*o in the form k*o + b and give k.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*n + 10. Suppose -4*x + 2*x = 2*k - 42, 38 = n*x + 4*k. Let b = x - 21. Solve -p - 2 = -3*j, -b*j + 4*p - 3 = -1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*-2*1 + 2. Let v be -3 + 93\/12 + 3\/12. Let z be 2*((-20)\/(-51) - v\/15). Which is the second smallest value? (a) z (b) y (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 78*j**2 + 52 + 47 + 50 - 7*j - 150 + 3*j to the form y + w*j + x*j**2 and give x.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-21))\/(52\/182)*63*10\/30?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from tsstsssss?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 19\/(-50) - 2\/(-5). Let w(r) be the second derivative of 0 - 1\/30*r**4 - r + 1\/75*r**6 - 1\/15*r**3 + 0*r**2 + q*r**5. Factor w(d).\nAnswer: 2*d*(d - 1)*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 z when two letters picked without replacement from uwiuvuzuwuvuiwwivwuz.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 2590?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by (1 - 4)*(-27 + 8).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14260.\nAnswer: 2, 5, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 15*u - 5*u + 22*u)*(4 - 4 + 2*u**2).\nAnswer: 64*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-448)\/21 - 2)\/((-15)\/(225\/(-10)))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12593 and 7677361?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 431 + 2900 = 3*m - 4*x, -2*x + 1137 = m. Sort -7, m, -5 in decreasing order.\nAnswer: m, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 654802?\nAnswer: 2, 327401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 46, -0.086, 0.4 in ascending order.\nAnswer: -1\/4, -0.086, 0.4, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1113 = 4*c + 321. Is c a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 7*i**2 - 3*i + 8. Let q be u(-6). Let s be ((-3)\/75)\/(4\/q). Are s and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6295.4 - -6295. What is the nearest to 0.2 in -0.0036, 0.2, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 12\/9 + 1\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 105.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*t + 12*t + 5481 = 0. Let n be (-1)\/((-9)\/(t\/(-14))). Suppose -4*l + 9 = -5*x - 0*l, -x - 2*l + 1 = 0. Is n at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3882 is divided by 3775?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*o, 0 = 3*y - 3*o - o + 6. What is the closest to -2 in 1, y, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -32, -47*t + 44*t + 14*o = -79415. What are the prime factors of t?\nAnswer: 7, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 p when two letters picked without replacement from {w: 2, h: 4, p: 3, i: 2}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11111110110 (base 2) to base 11\nAnswer: -1593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 976552 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 27 = -d, -4*q - 8*d + 108 = -3*d - 2*d for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)*1 + 5.\nAnswer: 5 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 251 - -14?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30380 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -119 + 67. Let u = p - -130. Is u a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6a4b + -574?\nAnswer: 6497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 1. Let y(w) = 2*w + 6. Let a(v) = 6*d(v) - y(v). Let r = -8 + 8. Let l(h) = r*h + 2*h - 3*h + 3*h. Calculate a(l(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, c: 1, x: 1, j: 1, f: 1}. Give prob of picking 1 x and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 182340 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((30 + 6)\/4)\/(2\/(-8)). Let k = h + 41. Differentiate -30*v**4 + 1238 + 5*v - 1268 - k*v wrt v.\nAnswer: -120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1462*x + 85 = -1467*x - 2*o, -4*o = -7*o - 15 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*w + 92 - 20 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 34. Let z be -2 + (-4)\/((-40)\/q). Let x = -61.19 + 61.39. What is the closest to -1\/4 in z, -4, x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2744 - 2746. Which is the closest to -3? (a) -1.1 (b) n (c) -0.4 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4671.\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/21 (b) -0.85 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -67*v**2 - 87309. Let p(h) = 2*h. Give p(d(r)).\nAnswer: -134*r**2 - 174618","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 404a - -2?\nAnswer: 404c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5*w**2 + 135*w + 23. Determine y(27).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319795394 is divided by 2286.\nAnswer: 2282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 11602420?\nAnswer: -11602417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 3*u + 0*u)*(-3 + 2 + 2) + 4566 - 2*u + 1272 - 2174.\nAnswer: -4*u + 3664","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2985*d + 2985*d + 9*d**2.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 7 - 1 - 12*w + 16*w as b + p*w and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 u when four letters picked without replacement from uwzuuzuuwzzzu?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 512 divided by 459792?\nAnswer: 32\/28737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -233 - -324. Suppose -33*f + 39*f - 8736 = 0. What is the greatest common factor of f and l?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of w**4\/4 - w**3 - 3*w**2 + 9*w - 3. Let q be i(4). Suppose 4*g = 21 - q. Solve 0*j - 23 = g*j - 2*v, 0 = -4*j + v - 19 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1066*v**2 + 2103*v**2 - 1602*v**2)*(2 + 4 - 4) - 5*v**2 + 3*v**2 + 0*v**2.\nAnswer: -1132*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 137 - 275\/2. Put 4\/11, -33, v, -1 in increasing order.\nAnswer: -33, -1, v, 4\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 52, 10 in descending order.\nAnswer: 52, 10, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3 - 2*o + 5*o**2 + 8*o + 3. Let v(f) = -11*f**2 - 13*f - 13. Let u(d) = 13*q(d) + 6*v(d). Find t, given that u(t) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1713960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3474*u - 70457 - 37237 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 2*b - 1. Let y be l(0). Let a = -847 - -845. What is the closest to 0.1 in 0.07, a, y?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*t**5 + 2 - 127*t**4 + 154*t**2 + 160*t + 127*t**4 - 160*t**2 - 525*t**3 wrt t?\nAnswer: -600*t**2 - 3150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 5*h + 1880475 - 5840465, 5279990 = -4*b - 5*h. What is b rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 8:38 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-3 + sqrt(931))**2 + -4).\nAnswer: -84*sqrt(19) + 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 224*z - 2 = 225*z, 3*z - 18 = -3*j. Which is the biggest value? (a) 6\/31 (b) j (c) 4 (d) 1\/4 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 239 - 245 - ((-70 - (2 - 6)) + 1)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 178512 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 f be (2 + -3)*(-3 + -2). Let l(v) = 6*v - 16. Let n be l(6). Suppose -n = -3*c - 5. Is c bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(11\/5)\/x**(1\/3)*(x*x*x*(x*x*x**3*x)\/x*x*x)\/(x**(1\/5)*x*x*x*x) assuming x is positive.\nAnswer: x**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3554, -3614, -3616, -3554, -3422, -3214, -2924, -2546?\nAnswer: -2074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + -15. Let h be (-3 + n\/4)*4. Let g(a) be the second derivative of -5*a**4\/4 + a**3\/6 - 88*a + 2. Give g(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millisecond in microseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1601398 + 3083398. Round i to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 2*s = 130 - 146, 3*s + 13 = -2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 4*z**3\/7 + 660*z**2\/7 + 1304*z\/7 = 0.\nAnswer: -163, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*v - 704 = -56*v - 92*v. Let -40\/3*a - v*a**2 - 112\/9 - 2\/9*a**3 = 0. What is a?\nAnswer: -14, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1156872 by 6536.\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32338739383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-9)*3)\/(-1 + 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (110 - -13) + 1*4. Suppose -13*q = -16 - t. Calculate the greatest common factor of 176 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 17. Let m be -1*(-14 - p)\/(1 - -1). Let i(q) = -3*q + 1 + 3*q - 3*q. Calculate i(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(1 - -2) + (-50)\/(-35). Sort 1\/4, -3\/4, t in decreasing order.\nAnswer: t, 1\/4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 11. Suppose 5*c + 637 = 18*c. Let b be ((-264)\/(-21) - 3) + 21\/c. Solve r = -2*t + b - 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/(-648)*6*(-3)\/(-10)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 360*g - 81*g + 107*g - 43*g + 222*g to the form u*g + b and give u.\nAnswer: 565","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q. Let i(l) be the second derivative of -5*l**4\/4 + 5*l. Determine t(i(c)).\nAnswer: -30*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 30 + (0 - 21) + -22\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (j - 6*j + 3*j)*(-1 + 1 + 2)*(0 - 3 - 1)*(4*j - 4*j - j) in the form s*j**2 + n + q*j and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(3\/11)*x*(x*(x*x**(-17))\/x)\/x assuming x is positive.\nAnswer: x**(-173\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6219\/45 + (-3)\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(4\/8))\/(4\/(-16)). Solve 3*s - 7*s = l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 3*p - 5. Determine h(7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121427972.\nAnswer: 2, 3541, 8573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(8\/(-2) - -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00470808788 to six decimal places.\nAnswer: 0.004708","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 8*p - 4. Let q(n) = 17*n - 9. Let l(a) = -143*a + 76. Let w(f) = -2*l(f) - 17*q(f). Give -2*r(u) - 7*w(u).\nAnswer: 5*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 0 (b) -1 (c) 3\/5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 255205684, 510411365, 765617048, 1020822733?\n\"Answer: r**2 + 255205678*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 3*r + 10. What is the second derivative of 2*k**4 - 2*k - 5*k**4 - r*k**4 wrt k?\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-14) + -14 + (-2860)\/(-210). Which is smaller: -1649 or b?\nAnswer: -1649","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 123, 302, 573, 948, 1439, 2058, 2817?\nAnswer: 3728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 + 7963\nAnswer: 7963.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-198)\/21 + ((-7)\/(-49))\/((-2)\/8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-164572)\/(-10) - (-4)\/(-20). Let i = l + -329209\/20. What is the common denominator of 140\/(-240)*18\/(-28) and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 80*d**2 + 12*d + 7. Is i(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5*(1*-14 - -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2960.7 + 2961. Which is the nearest to 0? (a) h (b) 3 (c) 0.12 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -29*m**3\/6 - 41*m - 2. Let b(g) = -g**2. What is b(a(f))?\nAnswer: -841*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 531996 - -2666129?\nAnswer: 3198125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58 - -26. Is 42 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14871*q - 14835*q + 44583*q - 14872*q.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.1 and -1548722769.\nAnswer: -1548722770.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1))\/(o*o**(-4\/5)))\/(o**(2\/5))**(-50)*((o*(o*o\/(((o*o**1*o)\/o*o)\/o*o))\/o)**(-28))**(-1\/34) assuming o is positive.\nAnswer: o**(1613\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-8 - -2) + 54 + -20 + 30 + -17?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -24 + -2 + (-2 - -5). Let l = y + 69. Let a(o) = 2*o + 6. Calculate the remainder when l is divided by a(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 12:31 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.75 + 46.25. Let j = g + -50. Which is the nearest to 1? (a) j (b) -4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -457*r + 52. Is l(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + (-1)\/((-1)\/(-9)). What is the second biggest value in o, 1\/8, -1\/40?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1000 and 693600.\nAnswer: 3468000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1872)\/(-65) + 8\/(-10). Find the second derivative of -55 + 36*j**4 - j + j**4 - 72 + p wrt j.\nAnswer: 444*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*x + 10. Suppose -5*d + x = 68. Does 10 divide (-520)\/d*30\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/(-10) - 2*1. Let q = -5 - -11. Suppose -4*a - 60 = q*a. What is the closest to 0 in m, -1, a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138164 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -157 or -159?\nAnswer: -159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 10*p - 3. Let v = 136 - 47. Let q(o) = -301*o - 61 + 63 + v. Let w(u) = -182*f(u) - 6*q(u). Let b(r) = -2*r. Determine w(b(j)).\nAnswer: 28*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, i: 4, r: 1, l: 4, k: 1, c: 2}. Give prob of picking 2 c.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 23 - 149 = 0. Let s be 2\/7 - 2892\/v. Let l = s - 94. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187*o + 177*o = -2110. Let j = 210 - o. Are j and -8\/201 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -107*y**4\/5 + 288*y**3\/5 - 222*y**2\/5 + 8*y\/5 - 10. Solve t(r) = 0.\nAnswer: 2\/107, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - (-12 + -34) - 44.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 53*z - 29*z - 1 - 10 to the form c*z + a and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 164832001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 25. What are the prime factors of k\/(-4)*(-1168)\/(-4)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5348 - 6339 = -13*k. Let n = k + -584. List the prime factors of n.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-40*v**5 + 369*v**5 - 18*v**5).\nAnswer: -311*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*d + 218*d - 1128 = -24. Solve -4*x = -568 + d for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25721941.9053 + 25724095. Let a = j + -2153. What is a rounded to 3 dps?\nAnswer: 0.095","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a minute in milliseconds?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7052 + -7034. Solve -2*a = -2*p + 16, 22*a - r*a = -20 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2060.7 - -2056.7. What is the closest to b in -6, 11\/4, 0.5, -0.1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16807 - -17030. Calculate the remainder when 719 is divided by s.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1403, -2794, -4185?\nAnswer: -5576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -7*y + 49. Let n be o(9). Let b = n + 31. Suppose -2*h + h = 4*c, -5*h = 3*c - b. Solve 0*z + z = -h for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23.258 - 23.269173. What is b rounded to four decimal places?\nAnswer: -0.0112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30706037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 2 - 2)*(0 + 0 + 2*r**3) - 3*r**5 - 7*r**5 + 7*r**5 + 5*r**5 - 2*r**5 - 2*r**5 + (0 - 2*r**5 + 0)*(4 + 0 - 2).\nAnswer: -10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(20)\/sqrt(4) - sqrt(5)))**2 + sqrt(5) + (sqrt(180)\/sqrt(4))\/sqrt(9).\nAnswer: 2*sqrt(5) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + 0.4. Let s = 1\/3 + -1\/12. Let q = -5 - -6. What is the nearest to q in t, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*j - 12 = 174*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - 41.8. Let n = u + 2.8. What is the closest to 0.1 in -0.03, n, 4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, 6, 110, 256, 444, 674?\nAnswer: 946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (-1)\/(3\/15). Let m(o) be the first derivative of o**3\/3 - 3*o**2 + 3*o - 39. Determine m(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -152372 or 17?\nAnswer: -152372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 67044 - -462?\nAnswer: 67526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r**3\/6 - r**2 + 3*r. Let m be i(3). Let o = -3 - -6. Sort o, m, 1\/2 in decreasing order.\nAnswer: o, m, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4382*o + 4375*o + 21 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/5 + 3774*g**2 - 151440*g + 1516000.\nAnswer: 2*(g - 20)**2*(g + 9475)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/5*(-180)\/81.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or 3\/8?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 0.1070773\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 7:46 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -50, 7\/4, -2, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**2 + 410 - 406 - 12*s - s**2 to i + c*s + r*s**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49.67 + 46.67. Let u = 1802\/9 + -200. Let x = 16\/9 - 55\/36. What is the third biggest value in i, x, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 1:03 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2 plus 0.00776926?\nAnswer: 2.20776926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 2*r - 12. Let g be s(6). Is g < 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 64, 0, -3 in increasing order.\nAnswer: -4, -3, 0, 3, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (3 + -3)) + 20 + -20.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 267*q**4 - q**3\/3 - 3589*q**2\/2 + 4252. Find the second derivative of i(s) wrt s.\nAnswer: 6408*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1718)\/14 - (-22)\/(-77). Let u = b - -27. Let f = u - -149. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38185*m**3 - 38187*m**3 + 152738*m**3 - 38179*m**3 - 38188*m**3 + 9.\nAnswer: -m**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + 41 + 2)\/2. Suppose -4*z - 8 = 0, -u + 6*u - 4*z = m. Suppose 5*t - 2*k - 55 = 0, 2*t + u*k - 21 = 20. Is t smaller than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -665387 rounded to the nearest one thousand?\nAnswer: -665000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 f when two letters picked without replacement from tpifeitpeekeetfk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 440 + 11?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1728 divided by -1840?\nAnswer: -108\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 486 and 11664.\nAnswer: 11664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/19287027 and 38\/9.\nAnswer: 19287027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 4. Let d be u(-5). Suppose 4*q = 4*j - 8, 2*j + 0*j + 3*q = 4. Is (-14 - (j + -2))*d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2080, -1892, -1372, -352, 1336, 3860, 7388, 12088?\nAnswer: 18128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y - 11. Let u be l(10). Let b be (6 - 3) + 1400\/(-1). Let n be -3 - b*(u - 0). Round n to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*q**2\/15 - 44642*q\/5 + 33482\/15.\nAnswer: -2*(q + 16741)*(4*q - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-21)\/n**6*n*n\/(n**2\/n)*n*n**20)**(8\/11) assuming n is positive.\nAnswer: n**(-40\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 22 = 5*z, z - 4 = 3*p - 14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3 + -1 + sqrt(588) + (3*sqrt(588)*-6 + sqrt(588))**2)*-2.\nAnswer: -339867 - 28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 265 + -216. Calculate the least common multiple of 70 and k.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 7:15 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**6\/r))\/r**(-5\/4)*(r**3*r)\/(r*r**(1\/2)) assuming r is positive.\nAnswer: r**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5896.449 litres to millilitres.\nAnswer: 5896449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -141*p**2 + 1268*p - 1273. What is a(1)?\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 320083, 320095, 320123, 320173, 320251, 320363, 320515, 320713?\nAnswer: 320963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f**3 - f**2 - 1. Let z be g(2). Let t = 40 + -42. Sort t, 4, z in increasing order.\nAnswer: z, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/((((i*i*i**(-2\/9))\/i)\/i)\/i*i))\/i)\/i)**(-4\/13))**(5\/16) assuming i is positive.\nAnswer: i**(35\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67 - 62. Suppose -410 = -5*d + 5*k, -2*d + 0*k = -q*k - 149. What are the prime factors of d?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -5*g**8\/112 - g**7\/21 + g**6\/24 - 42*g**2. Suppose r(x) = 0. What is x?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**2 - 8\/15*b**7 + 0*b**6 + 0*b**5 - 29 + 0*b**3 - 59\/8*b**4 + 0*b. Find the second derivative of i(q) wrt q.\nAnswer: -1344*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 75988099 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4582482622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5535 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4610.13 take away -319390836?\nAnswer: 319386225.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-8)\/(-21))*(-695)\/(569205\/546)\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/19986415 and -119\/385590.\nAnswer: 119918490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, u: 5, v: 12}. Give prob of picking 1 u and 1 b.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100 (base 3) to base 9.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2427963109 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -11. Let v be ((-8)\/((-16)\/r))\/(-2). Let y(u) = -7*u. Give y(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1741672046 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1.4, 98, -2, -3\/19?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1204*o - 1359*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -17907.707.\nAnswer: 125353.949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19810*d**3*f**3 - 2*d**3*f + 3*d**2*f**3 - 2*d*f**2 - 4690*f**2 wrt f.\nAnswer: 118860*d**3 + 18*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 194246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-6) - -3)*2. Let y(r) = r**2 - 2*r. Let n(d) = -3*d**2 + 6*d. Let a(k) = c*y(k) + 2*n(k). List the prime factors of a(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gn when two letters picked without replacement from xhnxqhg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13258121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - -62. What are the prime factors of n?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = 2*p - 171. Is p a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5445)\/440)\/(141\/752)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 + -19. What is the remainder when f is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 432 = 212 + 210. Let l = 14 + -8. Solve h*t + 20 = l*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*a - 14*a - 36. Suppose -n + 5*n = -4*v - 140, 0 = -3*v - 4*n - 110. Let m = a + v. Which is greater: 1\/4 or m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7.301993 centimeters?\nAnswer: 73.01993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 2cd4566?\nAnswer: -2cd4567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -140, 0.177, 2\/83 in descending order.\nAnswer: 0.5, 0.177, 2\/83, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 231797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127596 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 10, -4.\nAnswer: -4, -4\/3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z + 5. Let j = -35 + 42. Let a be r(j). Let k = 3 - a. Solve -4*f + 0 = k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 780835951 to the nearest integer?\nAnswer: 921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/7 - (0 - (-2)\/(-7)). Let i be (0 + 25\/10)\/(p\/(-2)). Solve i*o = 10 + 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62228 = 87*h - 138481. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58962 is divided by 4530?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o**2 + 3*o + 40 - 39 - 5*o - 4*o**2. Calculate y(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 15*z - 6. Let c be r(13). Let q be ((-312)\/32)\/(6\/c). Find the second derivative of 4*l**5 - 52 + q - 6*l wrt l.\nAnswer: 80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -124, 0, 1.\nAnswer: -124, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15668 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: Is 148549199 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/10 + 3171*d**2\/10 + 103479*d\/2 + 4336445\/2.\nAnswer: (d + 85)**2*(d + 3001)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -30345?\nAnswer: 30347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.4 + -0.6. Let q = -847 - -852. Which is the second smallest value? (a) -8 (b) t (c) 2\/13 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -221182, -221172, -221148, -221104, -221034, -220932, -220792, -220608?\nAnswer: -220374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 5*c - 16. Let q be k(8). Let s be (2 - 75) + (q - 6). Let m = -215\/3 - s. What is the third smallest value in m, -14\/9, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 0*d**2 + 7\/6*d**3 + 28*d + 0. Let n(g) = g - 3*g - g - g. Calculate k(n(j)).\nAnswer: -28*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6637 by -4.\nAnswer: -6637\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -50, 1\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 464067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 10:21 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 8 = -y - t, -5*y + 37 = -4*t. Sort 9, y, 3 in decreasing order.\nAnswer: 9, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 2*a = 2*n + 23, 3*n = -3*a - 12. Let m be (-774)\/(-9) + 3\/n. Let j = -32 + m. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = -2*i - 2*w, 2*i + 3*w = 6. Let d = -1\/21 + -37\/105. Are d and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 2. Let a(c) be the first derivative of 23 - 1\/4*c**4 + 2*c**3 + 8*c - c**2. Determine a(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 15*u**2 - 17*u + 19. Let k be z(16). Factor -13*f**k + f - 7*f**5 + 4*f**5 + 3*f**2 - 7*f**4 + f + 10*f**3.\nAnswer: -f*(f + 1)**3*(3*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 31146720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 2*w**2 - 2. Let k be s(3). Let b = k - 2. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -2) + -2 - (26 - 31)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 9*j - 5. Let k(o) = -19*o + 10. Let r(n) = 5*a(n) + 3*k(n). Let v(t) = -133*t + 56. Give 56*r(x) - 5*v(x).\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 0, -5*v = -2*s + 2 - 17. Determine k so that k + 2*k**v - 3*k**3 + 0*k**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of ((-3)\/4)\/(600\/(-160)) + 58407\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t. Let x(p) = -2100*p + 3167*p + 7587*p. Calculate i(x(u)).\nAnswer: -17308*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**5 - 192*q**4 - 5370*q**3 - 32852*q**2 + 88752*q = 0. Calculate q.\nAnswer: -43, -12, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1608 - -1623. Let o(g) = 28*g**2 + 1. Calculate the remainder when o(-1) is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 3*o - 5*o - 5*x, -o = 3*x + 32. What is the third smallest value in -1\/15, o, 3.5?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 6939?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -167. Suppose -4*m = m - o. What is the highest common factor of m and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 738\/11 - 67. Let t = 31\/44 - 5\/11. Let q = 0.006 + -0.106. Which is the second biggest value? (a) t (b) q (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 169614014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 9:11 PM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 2:55 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 367 a factor of 108702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 2:59 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (q - 16*q**2 + 24*q**2 - 27*q**2)*(2 - 2 + 2) in the form y + v*q + g*q**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 100*f**3 + 8*f**2 + 23. Let h(j) = -34*j**3 - 3*j**2 - 8. Give 8*h(t) + 3*z(t).\nAnswer: 28*t**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*c - c - 1159 = 0, 0 = -3*x + 2*c + 695. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*x**4 + 6 - 6)*(-7*x + 4*x - 9*x)*(5 - 23 - 8).\nAnswer: 3120*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3893403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 11 - 5. Suppose 0 = -q*k + 23 - 11. Suppose k*y = 3*m + 837, 2*y + 659 = 5*y + 4*m. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, -2, -13 in decreasing order.\nAnswer: -2, -13, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89073 + 26801 = 11*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n + 40 = 4*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.171372 rounded to one decimal place?\nAnswer: -10.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/39)\/(((-70)\/(-4))\/5)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*g - 144*g = -6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 202.0766151 and -0.1.\nAnswer: 201.9766151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*f - 973*u + 972*u, 3*u + 108 = 30*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 49\/9 (b) -3 (c) -0.3 (d) 0.8 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**6\/3060 + y**5\/340 - 7*y**3\/3 + y**2. Let t(d) be the first derivative of v(d). Solve t(w) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/45 + 10373\/(-615) - -26?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 13*i**3 + i**2 - 1. Let v be (-15)\/(-25) - (1402\/(-5) - 4). What is the remainder when t(1) is divided by v\/33 - (-284)\/781?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11955\/8 - 1494. Let h = 0.55 + 0.05. Let d = 0.7 - h. What is the closest to d in 2\/3, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 55665506 and -230.404.\nAnswer: 55665275.596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19\/8 + 39\/16. Let m be 5\/15 - (-10)\/6. Suppose -w + a + 4 = -m*a, 0 = w + 5*a + 4. Put w, -0.3, t in ascending order.\nAnswer: -0.3, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21499029\/13744 + 1451\/859. Let o = -1567 + n. Let j = 28\/9 + -809\/72. Find the common denominator of o and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1792587*g**5\/7 - 299371305*g**4\/7 + 12348888360*g**3\/7 + 12584598780*g**2\/7 - 9338400*g + 12096 = 0. What is g?\nAnswer: -1, 2\/773, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 divided by 5234.\nAnswer: -39\/2617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39799.9999983519 + -39800. Round s to 7 decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ydydgddjgtjtgw. Give prob of picking 1 g, 1 w, and 1 t.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 5 = 3*o. Suppose -o*u = q + 4, 5*q - 2*u = -0*u + 24. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4612661 + 0.31717.\nAnswer: 4612661.31717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -6*g + 44236 + 5*g - 41796. Let l(m) = m**2. Calculate i(l(w)).\nAnswer: -w**2 + 2440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u - 1. Let j be z(0). Let x be (18\/15)\/(j\/5). Let l = -1 - x. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - s = 55, 70 = -4*p - 4*s + 2*s. Let q be (1*30\/p)\/((-6)\/20). Solve -2*m - m - q = -4*x, -5*x = 5*m - 50 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -95.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*l + 765 = 48*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -0*f. Suppose 5*v - 100 - 70 = f. Calculate the greatest common factor of 51 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 12*r = 36. Solve -11 - 1 = -r*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213003?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.028 + -0.152. Let i = 0.82 - 0.7. Let u = i - x. Sort 0.2, u, -1.\nAnswer: -1, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 365, -3, -40, 4 in ascending order.\nAnswer: -40, -3, 4, 365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -122 divided by 122\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 6:26 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 10954, 5, 250 in ascending order.\nAnswer: 5, 250, 10954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 646 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8856\/(-5346)*(2 + 6\/(-8)) + 17\/(-153)\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 125*o + 3228 + 22 for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2271975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -18*g. Let l(m) = -50*m + 20. Let d(u) be the second derivative of -7*u**3\/6 + 3*u**2\/2 + 17*u + 2. Let w(o) = -20*d(o) + 3*l(o). Determine b(w(z)).\nAnswer: 180*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 44698872 less than 13?\nAnswer: -44698859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 4:58 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 28\/(-7))*5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -28208252212085?\nAnswer: -28208252212084.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 41 - 1 = 0. Let f(a) be the first derivative of -3*a + 5\/3*a**3 - 1 - 1\/4*a**4 - 2*a**2. Give f(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 215120 and 24.\nAnswer: 645360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10554 - 10431.35. Round b to 0 decimal places.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 (base 14) to base 6\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -d - 293. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**5\/20 + 3*s**4 + 46*s**3\/3 + 24*s**2 - 14*s - 1. What are the prime factors of l(38)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 4:51 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 5*s**2 - 8*s - 3. Let v = -19 - -13. Let j be o(v). What is the highest common factor of 63 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 + 1 + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-3)*((-2)\/3)\/(270\/486)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -1969*a**2 + 9*a + 3612. Let d(u) = -3939*u**2 + 21*u + 7221. Let h(g) = 3*d(g) - 7*i(g). Find the first derivative of h(t) wrt t.\nAnswer: 3932*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2742 + 0.0258. Let z = 0.6 + -0.8. What is the nearest to 3\/5 in z, -1\/6, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 451*n - 447*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(3\/4)\/z)\/(z\/z**(-5))*(z\/z**1)**38)\/((z**(3\/2)\/z**(2\/5))\/((z\/z**5)\/(z*(z*z**4)\/z))) assuming z is positive.\nAnswer: z**(-327\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120376 is divided by 3434?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (8 + -6)) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rt when two letters picked without replacement from vjtntvjr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 439250.6 micrograms?\nAnswer: 0.0004392506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - -0.2. Which is the smallest value? (a) d (b) 2 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2593599.3 at least 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*t - 40. Suppose 3*z - t - 3 = 0. Solve -2*a - 15 = -z*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 118599952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 85 = -3. Let h be 3 + 3 + (-620)\/22. Let i = h - d. What is the closest to 0.1 in -3\/7, 0.2, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**8\/28 + a**6\/15 - a**4\/12 - 3*a**3\/2 + 23*a. Find the third derivative of v(q) wrt q.\nAnswer: -240*q**3 + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*i - 5 = 5*q, 5*q - 3*i - 40 = 0. Solve -4*s + 15 = a + 2*a, 2*s = a + q for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 0*a**3 + 0 - 1\/16*a**4 - 1\/70*a**7 + 1\/20*a**5 + 4*a**2 + 0*a + 1\/224*a**8 + 0*a**6. Suppose k(j) = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*y**5 + 0*y + 4945*y**2 - 1655*y**2 + 4*y - 1661*y**2 + 2*y**4 - 1674*y**2 wrt y?\nAnswer: 1020*y**2 + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2950)\/3835)\/((-6)\/(-273)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(52) - -1*sqrt(52))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 2, 27 in decreasing order.\nAnswer: 27, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 123.0664218 rounded to one dp?\nAnswer: 123.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 0 - 2 + 4*f - 3. Let r be w(8). Let d be r\/15 + -5 + 4. Which is the second smallest value? (a) 2\/7 (b) 2\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5880 + 28981. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0. Let u be (-84)\/((-216)\/(-6) - 42). Sort v, u, 1 in decreasing order.\nAnswer: u, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2901 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 17.10057 nanograms?\nAnswer: 0.00001710057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b\/(b*b**(-1\/2)))\/b*b))\/b*b\/(b*b\/(b**(-16)\/b)*b))\/((b\/b**(-10\/3))\/(b*b**(-1\/10)*b)) assuming b is positive.\nAnswer: b**(-329\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - n**2. Let r be o(1). Suppose -2*j - 1 + 25 = r. Suppose 3*p = -p + j, 5*c + 5*p - 30 = 0. Calculate the greatest common factor of 2 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (6 - (13 + 6 + -6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*i - 63*i = -10. Let c be 4 - (i + 2)\/(-1). Solve 4*v + c = -4*a, 3*a + 6 = a + 2*v for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jwjjjjjwwwww. Give prob of sequence jjw.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -5*u - 4. Let j = 275 - 271. Suppose j*g + 1 = -5*v, 0 = g + 2*v + 4. Calculate the highest common divisor of g and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1067367, 1067397, 1067417, 1067421, 1067403, 1067357, 1067277?\nAnswer: 1067157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 422053975 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 15. Let m be (17\/2)\/(1\/j). What are the prime factors of (-4)\/(-18) + m\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**4 + 13*s + 0 + 99*s**2 + 1 - 94*s**2 + 1 + 117*s as k*s**2 + v*s + g + r*s**4 + w*s**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-113862)\/144)\/7 - 5\/120 - (3 + 3).\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 149214, 298426, 447638, 596850, 746062?\n\"Answer: 149212*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 1:26 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2398 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -401874 divided by 66.\nAnswer: -6089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - w**2 + 3*w**4 - 5*w**4 + (-5*w + 5*w + 2*w**3)*(2*w - 3*w + 0*w))*(4 - 3 + 1).\nAnswer: -8*w**4 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035356 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15636029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 209232385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 5*l**2 + 0 + 1\/6*l**4 + 0*l - 2\/3*l**3. Is b(3) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4101 divided by -4\nAnswer: 4101\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 216847635?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13997 + -9975. List the prime factors of f.\nAnswer: 2, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*p - 3047 = -3*s, 0 = -2*s - 4*p + 1198. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 - 21. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*2\/(-14)*1. Let u = 33 - 30. What is the smallest value in u, i, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 5bbb91?\nAnswer: 5bbb91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1447 - 1467 - (-13 - (-1 - (-3 - -4)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29 and 725?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/((s\/(s*(s**(3\/2)*s)\/s)*s)\/s)*s)\/(s\/(s\/(s*s*s**(-6)*s))*s))**(-23))**(1\/45) assuming s is positive.\nAnswer: s**(-253\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 - 25. Suppose 0 = -2*s + 2*w + 122, 0 = 4*s - 6*w + 4*w - 234. What is the greatest common divisor of s and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**2 - 21*m**2 - 5*m**2. Let h(f) = -6*f**2 + 3*f - 3. Let v(a) = a**2 - a + 1. Let n(x) = h(x) + 3*v(x). Determine o(n(t)).\nAnswer: -207*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -78*g - 9. Let s(o) = -77*o - 11. Give -4*s(d) + 5*z(d).\nAnswer: -82*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/17792 and -89\/47538.\nAnswer: 3042432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1071 plus -0.06388657?\nAnswer: 1070.93611343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00018762 to five dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**3 + 775*p**2 + 28835*p - 93615 = 0. What is p?\nAnswer: -79, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 134 + -133. Let a(r) = -3*r**2 + 7*r + 11. Let z(u) = -6*u**2 + 15*u + 23. Let m(d) = -13*a(d) + 6*z(d). Let k(g) = g**2 - 1. Calculate c*m(i) - 5*k(i).\nAnswer: -2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*8\/(-60))\/(-66*(-4)\/60).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + -1 + -1 - (-10)\/14. Is 2 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -12*w - 8. Let z(g) = -9*g - 6. Let t(j) = 2*x(j) - 3*z(j). Determine t(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6.53255207 and -24562?\nAnswer: 24568.53255207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 3 - 4)*(-1 + j + 1) + 4*j - 3*j + 3*j)*(2 + 5*j + 4*j**2 - 5*j).\nAnswer: 20*j**3 + 10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-304)\/(-1292)*-17 + (34\/(-10) - (-2)\/5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/7 - -1)*(-287)\/1558?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 36*p**3 + 9*p**2 + 14*p + 5. What are the prime factors of h(4)?\nAnswer: 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14023.4 + 14023. Which is the closest to -1? (a) j (b) -17 (c) 2 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**6\/60 + j**5\/20 + j**4\/8 + j**3\/3 + 22*j**2. Let t be i(-1). Solve t = -2*o + 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2204 = 27*t - 550. What is the greatest common factor of 24 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -100671982.\nAnswer: 30201594.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 2:38 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40421, 161650, 363705, 646592, 1010317?\nAnswer: 1454886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49.8 + 49. Let o = w + 3.8. What is the closest to -0.2 in o, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 7 = -2*g, g = 3*m - 6 - 2. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (108\/(-112))\/9*736892\/4329.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1404\/7 - 200. Let y = -0.23 + 0.13. Which is the second biggest value? (a) y (b) s (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**5\/8 - 3*z**4\/4 + 63*z**3\/8 - 33*z**2\/4 - 15*z\/2 + 9 = 0. Calculate z.\nAnswer: -6, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t**5 - 7 + 3521*t + 11 - 3522*t - t**2 + (-t - t**3 + t)*(-3*t**2 - 5 + 5).\nAnswer: -2*t**5 - t**2 - t + 4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2910751395.\nAnswer: 3, 5, 194050093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -31*f - 4*f**3 - 8*f**2 + 19*f + 3*f**3.\nAnswer: -f*(f + 2)*(f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -0.3, -469, 4\/3, -4\/3, -4, -1.348?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2017126, -2017193, -2017260, -2017327, -2017394?\n\"Answer: -67*b - 2017059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, 2, 10, 30, -0.09, -1\/5, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence inii when four letters picked without replacement from annnniini?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14372, -14351, -14330, -14309?\n\"Answer: 21*x - 14393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1290755977 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 21 = z + 12, -3*p + 73*z + 5320 = 2695 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 556222 to the nearest integer?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1021 + 1028. What is the least common multiple of u and 265?\nAnswer: 1855","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -458*n**2 + 677*n + 3. Give v(3).\nAnswer: -2088","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**3 - 3*r**2 + r + 280. Let v be t(0). Calculate the greatest common divisor of v and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6574952*l**4 - 7179437 wrt l.\nAnswer: -26299808*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v - 25 - 2*v**2 - 11*v + 20*v. Let a be c(4). Let k = a + 48. Solve 0*b - 3*b = -k for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.4327 litres in millilitres?\nAnswer: 71432.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**4 + 2*q**4 - 9*q**4 + (3*q - 6*q + 4*q)*(3*q**3 - 2*q**3 - 2*q**3).\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, p: 1, h: 2, s: 1, e: 2}. Give prob of sequence gh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 1454*d - 1460*d - 1 + 3*d**3 - 3*d**2 + 1. Let u be g(4). Suppose 56*i = 55*i + u. 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 f be (-22)\/(-4) + 57\/(-38). Suppose -5*q = -28 - 7. Suppose -8 + 27 = f*p - n, -3*p - q = -5*n. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-12 + -7 + 30).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166734 is divided by 689.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2*s**2 + 0)*(-1 + 1 - s**2) - 130*s**4 + 253*s**4 + 259*s**4 to the form b*s + q*s**2 + d*s**4 + v*s**3 + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0597 + 0.5057. Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 z when four letters picked without replacement from {z: 2, l: 4, a: 5}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00327 to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1234248678 to the nearest integer?\nAnswer: 1073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 299347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 72.26431 kilometers?\nAnswer: 72264.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.084 smaller than -403611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -534 + -111321?\nAnswer: -112255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -214825864 divided by -155221\nAnswer: 1384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (162\/63)\/(2\/2023)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2952*p + 1587*p - 396*p.\nAnswer: 4143*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*m + 145. Let v = -24 + m. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3\/3 - 356*r**2\/9 - 1438*r\/9 - 440\/9 = 0. Calculate r.\nAnswer: -55, -4, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 4*h + 7. Let u be d(3). Let i be u\/6 + 26\/6. What is the highest common divisor of i and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 9:46 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-9)\/(-6))\/(6795\/40)*(-292)\/16 and -32\/7?\nAnswer: 3171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1440 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*g**2*n**2 + 704049*g**2 + 293*g*n**2 + 4*n with respect to n.\nAnswer: 8*g**2*n + 586*g*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -189341 or -189342?\nAnswer: -189341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -570 - 3\/5*f**2 + 63*f.\nAnswer: -3*(f - 95)*(f - 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 12:54 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 + 101 = 22*j. Put 0, 43, j in descending order.\nAnswer: 43, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/2448000 and -47\/515520.\nAnswer: 438192000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13, -34, -83, -172, -313, -518, -799, -1168?\n\"Answer: -2*m**3 - 2*m**2 - m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 486*i - 6817 = 15053 for i.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-71)\/(-71))\/(2\/(-174))*121\/1452?\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 593 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-6))\/((-3)\/(-18)). Let z(q) = l*q**2 - 2*q**2 + q**2. Let d(n) = -6*n. Calculate d(z(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01100931 rounded to four decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v - 4. Let t be u(-6). Let f = t + 14. Solve -4*w + 5*a + 23 = 0, f*a + 32 = 5*w + 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 4*q - 2*q - 53, -5*c + 2*q = -57. Suppose 6*d - 85 = -c*d. Suppose -172 = -4*p + 8. What is the highest common divisor of d and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12120 (base 4) to base 9.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from efeffrprfpp. What is prob of sequence fe?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -12*h - 4. Let a(o) be the first derivative of -2*o**2 + 119. Determine n(a(z)).\nAnswer: 48*z - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/6 and 103\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5893 times 1.1\nAnswer: -6482.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-9)*60\/40?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 808.54 + -966626791.\nAnswer: -966625982.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 5*a = 3*r + 18, -a + 5*r = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18 - 0\/(-9 + -3). Solve s - 3*q + n = 0, -3*s - 4*q = -10 - 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/15 + (-2)\/5. Suppose 0*u - 2*u + 6 = m. Suppose 1 + 23 = u*q. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 132 = -2*f + 37, 4*f + 2*t = 326. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 8*b = 16. Suppose 3 = -n, 2*m - 634477 = -b*n + n. Let i = 667243 - m. Round i to the nearest 10000.\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.4 - 7.4. Let k = 4 + o. Which is bigger: k or -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3075)\/2 + (-2)\/(-6). Let i = z - -1522. Let t = 9081\/4 - 2279. Find the common denominator of t and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 10*r**2 - 6*r + 18. Let z be w(10). Let i = z - -45. Suppose 0 = i*t + 1 - 19. What is the remainder when 16 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(63) - sqrt(126)\/sqrt(2)))**2 + sqrt(63))*5 + 5 + -5.\nAnswer: 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00172475493 rounded to seven dps?\nAnswer: -0.0017248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ntnt when four letters picked without replacement from {n: 2, t: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 403 + -573. Let s = 170.00277 + w. Round s to 4 dps.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 62330608 and 4?\nAnswer: 62330608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/16367807 or -1?\nAnswer: -2\/16367807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62 and 25668.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y. Let m(i) be the second derivative of i**4\/12 - 49*i**2\/2 - 52*i. Calculate m(w(s)).\nAnswer: s**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/34 (b) 1\/2 (c) 3 (d) -410\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v**(2\/5)*v*v)\/v*v**7\/v*v)\/(v**(-2\/5))**39)**(-4) assuming v is positive.\nAnswer: v**(-104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(3) - sqrt(12)\/sqrt(4))*-3 - sqrt(3)) + -2 + -1*sqrt(12) + 5.\nAnswer: -2*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 98 = -5*c, -2*c = 2*c - 2*x - 68. What is the highest common divisor of 2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148 + 136 = 4*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o + 4. Let k be c(0). Suppose -2*a = -5*x, -k*x = 5*a - 0*x. Suppose a*v = -v + h, -3*v = 2*h. Let y(d) = -d - 7. What is y(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 r when three letters picked without replacement from idycrci?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 8*b - 3. Let t(s) = s**3 + 15*s + 7. Calculate -5*n(d) - 2*t(d).\nAnswer: 3*d**3 + 10*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 34982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -59 <= -2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 4*b + 24, 2 + 10 = -4*b + 2*m for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 6*d - 5 = -9*d, 0 = -5*y - 4*d + 6. Suppose -2*j - 585 = -y*q + 433, -2 = -2*j. Calculate the greatest common divisor of 17 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -429893, -1719563, -3869001, -6878207, -10747181, -15475923, -21064433?\n\"Answer: -429884*w**2 - 18*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0.14, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10046 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o**3 + 4*o**2 - o + 4. Let j(b) = -7*b**3 + 7*b**2 - 2*b + 8. Determine 3*j(s) - 5*p(s).\nAnswer: -s**3 + s**2 - s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 72782737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukuu when four letters picked without replacement from {k: 15, u: 3}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 2*b = u - 116, 0 = -3*u - 5*b - 82. What is the units digit of u\/(-14) - (-14)\/49?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 15*w**2 - w - 31. Let g be p(11). Suppose 5*c + 20 = 0, 4*q - g = q - 5*c. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -276, -302, -318, -324?\n\"Answer: 5*k**2 - 41*k - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*l + 10 = 3*c, 4 = 2*c - 4*l. Suppose 0*m - 4*m + 3*z = -1, c*m - 13 = -z. Suppose 0 - m = -n. Solve 4*b = 3*b - n for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - 2. Let r be g(4). Suppose 2*n = 3*a + 20, r*n + 5*a + 11 = 63. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -2*j - 4146 + 4166, -2*g - 5*j + 21 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43483.65 litres to millilitres.\nAnswer: 43483650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**2 - 2*q**2 + q**2 + 5*q**2 + 7*q**2 + 8*q**2 + (6*q + 11 - 11)*(0*q - q - q).\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7206 is divided by 212.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of o**6\/24 + 17*o**5\/4 + 40*o**4 + 470*o**3\/3 - 123*o**2. Suppose j(c) = 0. Calculate c.\nAnswer: -47, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30 - 1033*f**2 + 7 + 1028*f**2 + (-3 - 3 + 5)*(4*f**2 + 3*f**2 - 5*f**2).\nAnswer: -7*f**2 - 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/5)\/(-1*3\/6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1960293463?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 3\/7, 334 in increasing order.\nAnswer: -11, 3\/7, 334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2720 divided by -17\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/5)\/(1\/(-12)). Suppose p + 3*h = -23, 79*h - 74*h = -5*p - 25. Sort c, p, 3, 2 in ascending order.\nAnswer: 2, c, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2968507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -21 + 52b7?\nAnswer: 5296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 8188427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n - 3. Let o be t(-6). Let g be -4 - 0\/3 - (0 + -1). Calculate the remainder when 47 is divided by (g - o)*(1 + 3).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 91 - 640\/7. Let s = -7 - -12. Let j = -10.3 - -10. Sort j, u, s in decreasing order.\nAnswer: s, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 - 7147096.4848?\nAnswer: -7147096.4748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 2\/5, 215\/2, 0.3, -2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 13*z**2 + 214*z - 1669. What is o(8)?\nAnswer: 875","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -3*q**3 + 13*q**2\/2 + 13*q + 12. Let p(r) = 4*r**2 - 6*r - 6. Let w(f) = -6*o(f) - 13*p(f). Let n(y) = -20*y. Give w(n(h)).\nAnswer: 800*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188 = 3*x + 10*t, -t = -3*x - 3*t - 28 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 22 = -5*o, w - 4*o = -0*o - 5. Suppose w*a + 18 = 4*a. Does 15 divide (-93)\/a + 6\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3916 = 5*v - 9*v. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/22 and -13\/584773538?\nAnswer: 6432508918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p - 8. Let c be k(7). Suppose 4*g = -l + c, 6 = -2*l - 5*g + 15. Put -3, l, 3 in descending order.\nAnswer: 3, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1163677\/51 - -22818. Find the common denominator of x and 32\/85.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8cc43 (base 13) in base 7?\nAnswer: -2120040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -124.\nAnswer: -5\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2042, 4095, 6154, 8219?\nAnswer: 10290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29\/246 or 1?\nAnswer: 29\/246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-34 - -27) + -2 + 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 + 445 + 0\/29?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3597415753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**10\/r)\/r*r*r)\/(r\/(r*r**(-1))))**(-11) assuming r is positive.\nAnswer: r**(-99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14329122*s**2*w**3 - 42377233*s**2*w**2 + 3*s**2*w + 2*w**3 wrt w?\nAnswer: -85974732*s**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3819152 a multiple of 249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -182949\/44060 - -5\/2203. Suppose 74*p - 57*p + 68 = 0. What is the common denominator of k and ((-315)\/48 + 6)\/(p\/12)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 303185?\nAnswer: 303180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204905 is divided by 102160.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/7 + 134*h + 32064\/7.\nAnswer: -2*(h - 501)*(h + 32)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 13 (b) -0.2 (c) -9 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 4. Let h be (-363)\/(-21) + 2\/(-7). Suppose l + 1 = 5*x - 2*x, -3*l = -2*x + h. Let v be s(l). What is the highest common divisor of v and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 318165 divided by 5.\nAnswer: 63633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/((-70)\/(-132)))\/((-6)\/2814). Suppose 10 = 5*d, -4*d - 1207 = 3*r - w. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.43926 millilitres to litres.\nAnswer: 0.07543926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 302 + 4?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 495 is divided by 96.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -37*k - 43. Let o be f(-38). Let c = 356 + o. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (17 + 7) - (1 - -4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ojfo when four letters picked without replacement from jooffjffojfj?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4 = -3*d. Suppose 0 = 3*r, -5*z + d*r + 3*r = -225. Does 15 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z - z + 4*z + z + 2 - 4 + 0*z + z - z + 4*z + (-2*z + 0*z + 0*z)*(3 - 6 + 2) + z - 5*z + 2*z to the form u*z + w and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/20 - (-12)\/5. Suppose s*c + 1 = 3. Let n be 2 - (2 + c)\/(-1). Solve -n*h - 4 = -4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 8 = -2*o, 0 = 3*z + 9*o - 272 + 290 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 = 5*w - 14*v + 17*v, -w + 3*v = 23. Let t be (-20 - w)*(-691998 + -2). What is t rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132038 and 6170?\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8 + -0.7. Suppose 15 - 39 = 2*u - 14. What is the nearest to 0 in 1\/6, s, 1\/4, u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-five quarters of a millisecond?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25983710.2 rounded to the nearest 10000?\nAnswer: -25980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 710098 is divided by 5413.\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, 4968, 2\/5, -4, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2238*i - 113*i - 294*i - 25634 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + 0. Let u = -1960 + 1966. Calculate the remainder when v is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 484 - 420. Let s(x) = 17*x - b*x + 21*x + 22*x. Let k(p) = -p**2. Give s(k(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6078202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 0.014?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 + 2475*a**2 + 121785*a + 1430945.\nAnswer: -5*(a - 541)*(a + 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e + -b9b39?\nAnswer: -b9b48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4692 and 748.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*y - 148 = 2. Find the common denominator of -37\/130 and (y\/20)\/((-10)\/(-428)).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -66.0204.\nAnswer: 330.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/85 and 23\/9.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*(16\/4 + 6\/(-2)). Suppose f*r + 0*r = 54. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, u: 3, j: 6, q: 1, b: 3}. Give prob of sequence wuq.\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjibjjbjjjiibi. Give prob of picking 2 i and 1 b.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 x when two letters picked without replacement from {o: 12, z: 1, i: 4, x: 3}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r**2 + 38*r - 44. Give m(-10).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -2\/5, 2\/479, -3, -2, 0.3, 0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/((-16)\/6))\/((-3)\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 10. Let z(u) = -u**2 + 8*u + 11. Let c be z(9). Let s be -3*r\/(-9) + c. Solve -3*t + 4*p - 8 = 0, 0*p - 8 = 2*t - s*p for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 1 - 5 = 0. Let x(t) = t**3 - 7*t**2 + 3*t - 20. Let z be x(7). Calculate the greatest common factor of z and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -6*y**2 + y + 1. Let t be f(-1). Let i be (2\/t)\/(3\/(-36)). Suppose -1 = -b + 2*q - 0*q, -i*b + 4 = 5*q. Which is smaller: b or 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 704610 - 704610 - 29*w**2.\nAnswer: -29*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 7*n**2 + 8*n + 18. Let y be r(-6). Let g be ((10\/y)\/5)\/((-5)\/(-15)). Put g, -7, 2, -1 in ascending order.\nAnswer: -7, -1, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5*z = -10, -d - 2*z = -4*d - 4. Find p such that 0 - 2\/9*p**2 - 2\/9*p**3 + d*p = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/11286 and 161\/1188?\nAnswer: 22572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2287*l = 4042*l + 430372 for l.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-770160)\/(-41717) - (-20)\/13.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/29 (b) -2 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(72)*-1)\/((sqrt(484) + (sqrt(484) + 2*sqrt(484) - sqrt(484)) - sqrt(484)) + sqrt(484)))\/((sqrt(2592)*-2)\/(sqrt(320)\/sqrt(10))) + 0.\nAnswer: -sqrt(2)\/198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315169*i + 2 + 0 - 3 + 2 - 315172*i + 7.\nAnswer: -3*i + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 564019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/8 of a gram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 1 + 155*a**3 + 6.\nAnswer: 155*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (1 + (-12598)\/(-555)). Let y = k + 6\/185. Calculate the common denominator of (-333)\/30 - (-4 - 2) and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.32119 - -0.5\nAnswer: -1.82119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/172 and 73\/18.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 5*c + 2*c + 21, 0 = 4*c + 4. Calculate the least common multiple of 24 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1867 + -1b3?\nAnswer: 1694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 18*h - 62. Let l be j(-13). Differentiate 1 + 15 - 22*b**2 - l - 5*b**2 wrt b.\nAnswer: -54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 369 and 38663?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -46180393?\nAnswer: 1\/46180393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from pypyppppyppp?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42892*k**5 + 135*k**2 + 24999608*k?\nAnswer: -857840*k**3 + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30 or 22?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*u - 1452*u**3 - 251*u + 118*u.\nAnswer: -1452*u**3 + 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4345*t - 8752. What is p(-2)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28196 and 303373?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5304486*i**5 + 4*i**4 + 194265*i - 87 wrt i?\nAnswer: 106089720*i**3 + 48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-27)\/33 - -1 - 56850\/132. Let k = p + 252275\/586. Is 0 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w - 132. Let i be a(34). Solve -i*v = 9 + 11, 0 = -5*c - v - 30 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*g**2 + 95*g**2 - 29*g**2 - 34*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 633 divide 231863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 344901 to the nearest integer?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -36*y. Let n(u) = 2*u**2 - 13*u. Determine n(c(z)).\nAnswer: 2592*z**2 + 468*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1497411, 2994806, 4492201?\n\"Answer: 1497395*j + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -15, -41.\nAnswer: -41, -15, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105419*g**2 + 231905*g**2 + 598712*g**2.\nAnswer: 725198*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 739 - 691. Let b = 7 + 10. What is the remainder when f is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -149*y**2 + 9*y - 3. Let t(z) = 149*z**2 - 6*z + 2. Determine 4*p(n) + 6*t(n).\nAnswer: 298*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 210 = a, -5*a - 3*h - 1011 = -0*h. Let t = a + 516. What are the prime factors of t?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2710.6800012 - -2710.38. Let v = 0.3 + m. What is v rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 1. Let n(b) = -18*b**3 - 24*b - 24. Give 24*k(j) + n(j).\nAnswer: -18*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) 4 (b) 3 (c) 2\/5 (d) -0.1 (e) 121\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -127.4 - -99. Let s = -29.99 - v. Round s to 1 dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -149 - -148.99964. Round m to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(405)*5 - sqrt(405) - sqrt(405) - (sqrt(405)*2 + 2))**2*-1.\nAnswer: -14584 + 216*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.017 + -1.171. What is h rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 4*k = 46 - 32, -42 = -11*i - 4*k for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 16*x**4 - 485*x**2\/2 + 150*x. Find the first derivative of h(s) wrt s.\nAnswer: 384*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/12)\/((-3)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.040148 + 0.0430481. What is w rounded to 5 dps?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -100578.\nAnswer: -30173.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54831 - u - 27414 - 27417.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*r + 2223 = -85*r + 4*r for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/7)*s**(2\/35)*s**(1\/10)\/s**11 assuming s is positive.\nAnswer: s**(-779\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h - 1. Let x(f) be the second derivative of -1\/12*f**4 + 1\/3*f**3 - f**2 + 0 + 6*f. Let w(z) = 2*b(z) - x(z). Let q(v) = 21*v. What is q(w(j))?\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 2 = -2*j. Let d be 1\/j - (-85)\/40. Suppose 79 = d*i - 35. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 8 = -2*g. Suppose -54 = -5*u + h, g*u - h + 6 = 5*u. Let o be ((-48)\/u)\/(12\/(-80)). Calculate the highest common divisor of o and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 29, 36, 25, -16, -99, -236, -439?\nAnswer: -720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4264841968?\nAnswer: 2, 197, 1353059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3975650 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2092*b + 2100. Calculate j(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/52061 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65 - -64.9. Let u = 1045.6 - 1046. Which is the smallest value? (a) 2\/19 (b) z (c) -0.06 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1134 divided by 27\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**4 + y**2 - 1. Let s(v) = -19*v**4 + 116*v**3 - 6*v**2 - 1075*v + 6. Let d(l) = s(l) + 6*u(l). Find the second derivative of d(t) wrt t.\nAnswer: -12*t**2 + 696*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a factor of 45199440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 19. What is the fourth smallest value in 1\/7, 0, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + o + 4 = 0. Let w be (7\/((-245)\/(-20)))\/(88\/28). Sort w, o, -3.\nAnswer: -3, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d**3 + 147*d**2 + 3*d - 4*d - 1 + 283*d**2.\nAnswer: 10*d**3 + 430*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001120302411 to 6 dps.\nAnswer: 0.000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -1224\nAnswer: -1\/1224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341 is divided by 172?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1918 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + m + 6. Suppose s - m*l = 3*l - 42, -2*s - 5*l - 24 = 0. Let g = 118 + s. What is the greatest common factor of g and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2 = -6. Suppose m - u - 3 = 0. Is (-131)\/(-4) + m\/20 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3391*f + 5 + 22503*f - 5 + 882*f - 3*f - 3 + 3 + (2*f - 2*f + 2*f)*(2 - 4 + 3) - f - 2*f + 2*f in the form o*f + h and give o.\nAnswer: 26774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 175 + 204. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c + 19*c = -3. Solve -2 - 10 = c*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 3*i - 19, 0 = 5*i - 0*i + 5 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-3\/8)\/(i**4*i)*i\/((i*i**(-2\/5)\/i)\/i)*((i*i**(4\/7)*i)\/i)\/i*((i*i**2\/i)\/i**(-1))\/(i\/(i\/i**0))**1 assuming i is positive.\nAnswer: i**(167\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 27 = 5*j - 118, 0 = -3*f - 4*j + 235. Solve 8*w - 25*w + f = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2604 * 0.2\nAnswer: -520.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4324 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 16) in base 13?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 y, and 1 h when three letters picked without replacement from jyhjjyjp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from doiiiioiisiid. What is prob of picking 1 s, 1 d, and 1 o?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -8 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1089)*1)\/(sqrt(15)\/(sqrt(20)\/sqrt(4)) + sqrt(243)*2).\nAnswer: -22*sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1671230637 a multiple of 447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y = -y - 26457 - 19419. What is the thousands digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10 - 4)*(-2)\/(-3) + 1. Sort -2, 1, w, 24 in decreasing order.\nAnswer: 24, w, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 22. Let c(u) = u**2 - 9*u + 2. What is the smallest common multiple of x and c(9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011111011 (base 2) in base 8?\nAnswer: -3373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 130 by 2.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.83 times -258027?\nAnswer: 730216.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, o: 2}. What is prob of picking 2 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -102 divided by 15\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41869*z + 2501 + 18619 = -41539*z for z.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tg when two letters picked without replacement from bztkctcbg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**3 + 274*y**2 + 471*y - 554. Determine c(93).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -7*o**3 + 1564*o**2 + 13*o + 376. Let m(x) = 19*x**3 - 4690*x**2 - 36*x - 1128. Let c(i) = 8*a(i) + 3*m(i). Find the second derivative of c(b) wrt b.\nAnswer: 6*b - 3116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67050 or 67049?\nAnswer: 67049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 561139 + -12972972543\/23119. Let o = k - 1687657\/346785. Find the common denominator of o and 5\/6*(-280)\/100.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uyrrrruyruryr. Give prob of picking 3 y.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 1. Let s = -0.0709 + 454.0709. Let k = s - 454.5. Sort 4, k, -1\/4, n in decreasing order.\nAnswer: 4, n, -1\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 259 - 265. List the prime factors of (-2)\/a*(-16 - -544).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**3 - 15*g**2 + 2*g - 24. Let d(l) = 12*l**3 + 89*l**2 - 11*l + 144. Determine 4*d(v) + 23*y(v).\nAnswer: 2*v**3 + 11*v**2 + 2*v + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3768*p - 168 = 3726*p. Solve 0 = 4*o - s - 8, p*o + 60*s = 55*s + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 27*r + 891. Let g be q(-33). Factor g - 6\/13*b**3 + 10\/13*b**2 + 4\/13*b.\nAnswer: -2*b*(b - 2)*(3*b + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 87 - 23 = 0. Let k(y) = 4*y + 53. Let h be k(-8). Let n = x + h. Let l(w) = w**3 - 4*w**2 - 7*w + 4. Give l(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/(c\/(c*c**(-1\/2)*c*c)*c))\/(c**(-2\/3)\/c*c))**(-31))**1 assuming c is positive.\nAnswer: c**(-589\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**4\/12 + 2*l**2. Let c(g) be the third derivative of g**4\/24 - 10*g**2 - 158*g. Give k(c(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 0. Let i = 3 - c. Let u = 86 + -83. Solve 14 = -u*o + i for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 12:06 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-4))\/(0 - -3)*1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28243 to the power of 1\/2, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*c + 8*c = -170 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -679837 and 410902384.\nAnswer: 410222547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54692, 54871, 55168, 55583?\nAnswer: 56116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-18)\/7)\/((-18)\/168). What is the highest common factor of n and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 3*m**2 + 5*m - 3. Let r(h) = -2*h**3 - 5*h**2 - 9*h + 5. Give -5*g(w) - 3*r(w).\nAnswer: w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and -65.\nAnswer: -390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 + 2*d**2 - 2*d**2)*(2*d**2 + 2*d**2 - 3*d**2) + 4*d**4 + 0*d**4 - 2*d**4 + (-2*d**2 + 2*d**2 - 2*d**3)*(-4*d - 2*d - 5*d).\nAnswer: 26*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7397\/17 + 435. What is the smallest value in b, 0.2, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((4 + 2*sqrt(396) + -4*-1*sqrt(396))*-2)**2*-4 + -3.\nAnswer: -913411 - 18432*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4119863051?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -23, -91, -283, -671, -1327?\n\"Answer: -12*p**3 + 10*p**2 - 14*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + 31. Suppose 5*r - r - 16 = 2*y, 3*r - o = 3*y. Solve -y*p - 4 = -0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((76 + 2)\/(-6))\/(-1) + (-16 - -34)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -862929956017 + 3.1\nAnswer: -862929956013.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 247 (base 9) to base 15.\nAnswer: da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - sqrt(68)\/(sqrt(8)\/sqrt(2))) + ((0 + sqrt(2448))**2 - sqrt(2448) - sqrt(17)).\nAnswer: -13*sqrt(17) + 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2787 = 15*g + 807. What is the remainder when g is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 21796?\nAnswer: -1\/21796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10 and -9?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -9404, -139, -5, 2, 18 in descending order.\nAnswer: 18, 2, -5, -139, -9404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10798, -10803, -10810, -10819, -10830?\n\"Answer: -y**2 - 2*y - 10795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sz when two letters picked without replacement from {s: 2, z: 17}.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 64 = 16. Let y be ((-10)\/(-60) - 2\/m)*1. Let g be 1\/((-9)\/2) + 13\/27. Which is smaller: y or g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/360 and -31\/1016?\nAnswer: 45720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/1683 - -1679\/6732. Let h = -42\/19 + 149\/76. What is the nearest to -0.3 in u, h, 1\/2, 0.14?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 11) in base 15?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*s + 101*s - 73*s = 660 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -158830 rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from nsynynssss.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4235, 4114, 3937, 3698, 3391?\nAnswer: 3010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 + 4*d**2 + (-d + 1 - 1)*(5 + d - 5) - d**2 + d - d to the form m*d**2 + t*d + b and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 - -53. Suppose n - t - 17 = 0. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 7.5?\nAnswer: 7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1583227219?\nAnswer: 7, 67, 3375751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddasddddddd. Give prob of sequence dd.\nAnswer: 26\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 55321 to the power of 1\/2, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -1310\nAnswer: -2\/655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 10*i. What is the remainder when 79 is divided by m(8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 4*v**2 - 2*v - 3. Let w be x(3). Suppose w = g + 6 - 53. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155.82771 months in years?\nAnswer: 12.9856425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)*2)\/sqrt(5) - sqrt(32)\/(sqrt(4)*2))\/(-3*1*sqrt(4)*1).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 2*b + 579, -2*b - 1148 = -115*i + 113*i. What is the remainder when i is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1572 and 14541?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**2 + 23*p + 20. Let n be x(12). Let i(v) = 2*v - 21. Let o be i(n). What is the remainder when 2 + o\/1 + (33 - 0) is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 6*m**2 + 4*m + 22. Calculate t(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -18. Let u be r - -1*1\/(-1). Let g = -293 - -299. Solve u*t - 2 = -g for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 15. Let b(n) = -n**3 + 3*n**2 + 2*n + 1. Determine b(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -6*x - 112. Let j(l) = -4*l + 26. Let n be j(x). Let d = 189 - n. List the prime factors of d.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of v**7\/21 - v**6\/15 - 3*v**5\/10 + v**4\/6 + 2*v**3\/3 + 5*v - 6. Let n(a) be the first derivative of g(a). Factor n(r).\nAnswer: 2*r*(r - 2)*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 u when four letters picked without replacement from neueyne?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**3 - 7*z**3 + 6*z**3 + 6*z**3.\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-69)\/(-92))\/(6\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9, 4, -13, -48, -107, -196?\n\"Answer: -o**3 + 2*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1576 + 35. Suppose 13*p - 10*p = h. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 7, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105, -221, -357, -519, -713, -945, -1221, -1547?\nAnswer: -1929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1190 is divided by 45\/3 - (-20 + 7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/7)*z**(1\/13)*z)\/(z**22*(z*(z\/z**(3\/20))\/z*z)\/z) assuming z is positive.\nAnswer: z**(-40407\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4532494\/163 or -27808?\nAnswer: -27808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-12*14\/(-1176))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 g when two letters picked without replacement from {w: 1, e: 1, g: 1, k: 4, n: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - (0 - 1))*(158 - 157). Let o(f) = f**2 + 6*f + 9. Let w be o(-5). Sort w, 60\/13, y.\nAnswer: y, w, 60\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -6*p + 1. Let d(t) = -t. Give -5*d(h) + w(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*n**2*q**3 + 10*n**2*q*z**3 + 9*n*z**3 - 5*q**3*z**3 - q**2*z**3 - 2*q**2*z wrt q?\nAnswer: 102*n**2 - 30*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-two fifths of a millennium?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18\/7? (a) 8 (b) 3 (c) 5634 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.6 - -3.4. Let v = 0.2435 + 0.0365. What is the biggest value in i, -3, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 2110332?\nAnswer: 2111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 d when two letters picked without replacement from dqdddkkdkdk.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/20*(-12)\/(-9))\/3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -m + 1. Suppose -6*v - m*v = -801. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i**3\/7 + 3983444*i**2\/7 + 39834365*i\/7 + 14226550 = 0. What is i?\nAnswer: -3983434, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 4*w + 57260 = -10*u, 0 = -4*u + 5*w + 57259. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, w: 6}. What is prob of picking 2 w?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1*j*j\/j**(-23))\/(j**(-1\/6))**13 assuming j is positive.\nAnswer: j**(169\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -18. Let x(t) = -t - 6. Let w be x(c). Let u(s) = -11*s**2 + 17*s + 11. Let q(p) = 5*p**2 - 8*p - 5. Let n(k) = -13*q(k) - 6*u(k). Calculate n(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(76)*1 - (-3 + sqrt(57)\/sqrt(3)))**2.\nAnswer: 6*sqrt(19) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h**2 - 4*h**3 + 1 - 1 - 3*h**4 - 5*h. Let b(j) = -2*j**4 - 2*j**3 - 2*j**2 - 3*j. Let y(m) = 5*b(m) - 3*c(m). Factor y(w).\nAnswer: -w**2*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 64080\/(-17088)*(1\/((-6)\/224) - 0). Calculate the greatest common factor of 532 and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*s**2 - 52*s**2 - 4*s**3 - 28*s**2 + 52*s**2.\nAnswer: -4*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -624132410?\nAnswer: 624132404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d + 12. Suppose 0 = 2*m + 3 + 5. Let q(j) = -12*j - 23. Let z(c) = m*q(c) - 7*g(c). Differentiate z(u) with respect to u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 17, j: 2}. Give prob of picking 2 d.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 5*j**2 - 6 - 3*j**2 + 3*j + 6*j**2 - 3*j**2. List the prime factors of t(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xlxxeexlxeyx. What is prob of picking 1 e and 1 l?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a tonne in kilograms?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000635481931 rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*l = 0, -16*o + 19*o = 5*l. Suppose 5*f - 12 + 2 = o. Let p(a) = -a + 1. Let h(g) = 1. What is f*p(v) - 5*h(v)?\nAnswer: -2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i - 11 - 11 = 0. Let h(c) = -14 - 42 + 73*c + 46*c + 67 - 46. Let w(g) = 7*g - 2. Determine i*h(f) + 35*w(f).\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -l**3\/3 - 2*l**2 + 4*l - 6. Let o be (-68)\/18 + 4\/(-18). Let m be b(o). Solve 4*k - m = 16 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 z, and 1 e when three letters picked without replacement from {z: 3, k: 2, x: 5, e: 8, w: 1, y: 1}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z\/z**(2\/5)))\/(z\/(z*z**(4\/3))))\/(z*z**(-1))**25 assuming z is positive.\nAnswer: z**(41\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90415 and 845?\nAnswer: 90415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2, 24, 112, 292, 594, 1048, 1684, 2532?\n\"Answer: 5*n**3 + n**2 - 12*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004135291109 rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50 - -59. Suppose -f*i = 41 + 76. Let k = 45 + i. Calculate the remainder when 61 is divided by k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13025 (base 9) in base 15?\nAnswer: -28eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2440 - -2734. Calculate the least common multiple of p and 189.\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4 - 119*s**3 + 2887*s**2 + 37295*s + 100050.\nAnswer: -(s - 29)*(s + 5)**2*(s + 138)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oodookdddkkooodddk. What is prob of picking 3 d?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 74.398 weeks?\nAnswer: 749931.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4 + 1 = 2*o, 1 = o + 3*d. Suppose -f + x = 5*x - o, -4 = f + 2*x. Let z be (-2)\/f - (-203)\/42. Solve 3*v + z = 5*u, -3*u + 7*u - 4 = -4*v for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-120)\/195)\/(30\/(-65))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and 84?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-3)*1290\/(-1720)*(-18)\/(-375)\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 227 - 215. Find the second derivative of -a**2 - 7*a**3 + 11*a + j*a + 36*a + 12*a wrt a.\nAnswer: -42*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 213168651 + -213169510.01003. Let w = i - -859. What is w rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 676, 1367, 2058, 2749?\n\"Answer: 691*i - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121824*j + 27268 = -122225*j for j.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 489*g - 494*g - 37660 = 0. Is (-18)\/(-45) + g\/(-20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/30 - ((-2)\/(-10))\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6446101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -8*v - 1. Let o be f(-4). Suppose -3 = g - o. Suppose n - 4 = y - 2, 2*y - 12 = -2*n. Solve -g = 4*b + n*l, 0 = -l - 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p - 4*g - 4, 2*p + 3*g + 7 = -3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 18 = 40*s - 41*s. What is the fourth smallest value in s, 1\/4, -4\/3, -0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -2. Let x(l) = l**2 - 6*l - 4. Let v be x(7). Suppose 4*h + 3*h + h**3 + 9*h**2 + 2*h**v + 3 + i*h = 0. What is h?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-24)\/(-1)))\/(58\/(-13920)*-100)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence azzz when four letters picked without replacement from {a: 1, z: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (7 + -11 + -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 7. Let y be w(5). Is (9\/2)\/((-1)\/y) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 309034 (base 13) to base 9\nAnswer: 2117121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/4 + 1551*f**2\/2 - 713589*f\/4 - 719789\/2.\nAnswer: (f - 217)*(f + 2)*(f + 3317)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*r**5 + 185331*r**4 - 62936058*r**3 - 461647260*r**2 + 105694200*r = 0. Calculate r.\nAnswer: -37\/5, 0, 2\/9, 690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 4:15 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2096 and 1703.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3\/8, 45198, 2, 9, -5 in ascending order.\nAnswer: -5, -0.1, 3\/8, 2, 9, 45198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20106512949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(-1) + 10731\/1176. Sort 1, w, 1\/3 in increasing order.\nAnswer: w, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -456983, -457022, -457063, -457106, -457151, -457198?\nAnswer: -457247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -71, 0.4 in descending order.\nAnswer: 3, 0.4, -3, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((b\/b**5)\/b)\/b)\/b)\/b)**(24\/5) assuming b is positive.\nAnswer: b**(-192\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 26.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y - 8783569870 + 8783569870.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 30, 213, 492, 915, 1530, 2385, 3528, 5007?\n\"Answer: 8*g**3 + 127*g - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 69.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 618\/412*530\/(-15)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2036*a + 50884. Give r(25).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.31705321 plus 24?\nAnswer: 40.31705321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**17*y)\/y**(1\/5)*(y\/y**(-3)*y)**(-25) assuming y is positive.\nAnswer: y**(-536\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -4*f + 6*w + 79, 0 = -f - 4*w + 15. Let r(q) = q**2 - 18*q - 14. Let p be r(f). Solve 2*n = -4*o + 12, 0*o = p*n - 2*o + 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**3 + 5*s**2 - 5*s - 9. Let z(h) = h**2 - h - 1. What is -l(g) + 6*z(g)?\nAnswer: 3*g**3 + g**2 - g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -447?\nAnswer: -446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 21 = -l + g, 0 = l - g - 9. Let y = 35 - l. Is y a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.722592 rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 204312 rounded to the nearest 1000?\nAnswer: 204000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -29 - 35. Suppose b = f + f. Calculate the greatest common divisor of f and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 17*g + 8. Let l = 5 - -12. Let j be c(l). Calculate the greatest common factor of j and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 225.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - p. Let a(m) be the third derivative of -17*m**6\/120 + m**5\/60 + 2*m**2 - 923. Calculate -2*a(z) + 2*n(z).\nAnswer: 34*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 226, 448, 668, 886, 1102, 1316, 1528?\nAnswer: 1738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i**2 - 4*i - 5*i**2 + 3*i + i**3 + 4. Let j be r(0). Solve -s = j*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77457353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 14*g + 16. What is the units digit of f(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72*(4016\/32 + 12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) + sqrt(425) + -5)*-5 + 0)**2 + 5.\nAnswer: -2500*sqrt(17) + 43130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/7 and 69\/308.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 3\/(-90)*24 + (-299)\/(-5)*1?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 646481186.\nAnswer: 2, 13, 577, 43093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - -12 - 4) + 4 - -45\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1191580, 1191582, 1191588, 1191598, 1191612, 1191630, 1191652?\nAnswer: 1191678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51861628 a multiple of 1972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 6*w**2 + 3*w + 4. Let g be d(-5). Let z = g - 3. What is the greatest common factor of z and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 9 = -5*c, -3*w = -7*c - 16 + 19 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5282196 or -5282221?\nAnswer: -5282221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-20))\/((-912)\/(-120))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25636 (base 9) in base 12?\nAnswer: a006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4294\/26 - (-36)\/(-234). Let c = k - 72. What is the remainder when c is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*f = -6376, 7*f + 6377 = 2*v + 4*f. What are the prime factors of v?\nAnswer: 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.1, 3\/2, -0.16, 1 in decreasing order.\nAnswer: 3\/2, 1, -0.1, -0.16, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - (-9 - -1)) + 20\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 940 = 59226*q - 58991*q. Suppose -2\/5*i**q + 6\/5*i**2 + 0*i**3 + 4\/5*i + 0 = 0. Calculate i.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 0. Let f be m\/(-9)*((-10)\/(-4) + -1). Solve -5*r = -c - f, -3*c + 2*r = -0*r + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2013.8 - -1916.69. Let h = -97 - w. Which is smaller: h or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2181436 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11480 and 5822?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1593 - -1592.98. What is the closest to y in -1, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 10:56 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -5*d, 3*s = -d - 3 + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 16 = -4*d, -d + 0*d = 3*m - 45. Suppose -q - 43 = -3*r + 4*q, -r + 2*q = -m. Solve -i - 3*i - r = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**5 - 470*a**4 - 44180*a**3 - 2076460*a**2 - 48796810*a - 458690014.\nAnswer: -2*(a + 47)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*z = 232, -3*b - 3*z = -b + 116. Let f = b + 88. Calculate the lowest common multiple of f and 33.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/5 - 6\/10. Let r = k + 1. Let c = 1 - r. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jhjj when four letters picked without replacement from {h: 6, j: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5239*g**2 + 5239*g**2 + 91*g**3 - 25*g**3 - 21*g**3 - 25*g**3 - 16*g**3.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -292 + 767. Let v = 678 - g. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.37259212 to four dps.\nAnswer: -2.3726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3 = -3*a, -3*a = 4*t + t - 15. Suppose -t*u - 52 = -5*u. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121449440 divided by 24289888\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3180 - 3125. Solve -61 + c = -b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4375.0878 rounded to the nearest 100?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 339*b**2 + 470*b - 6938. What is the ten thousands digit of a(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16372.78 - -0.1.\nAnswer: -16372.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u - 24. Give n(-11).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2620 + -61362243.\nAnswer: -61359623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.1 + 2. Let o = 118 + -118.99. Let u = o + -0.01. Which is the nearest to u? (a) h (b) -2\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.04 + 0. Let s = d - 1.04. Which is the closest to 0.1? (a) -0.1 (b) -0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - -1. Let p = 36 + b. 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 fourth biggest value in 1, 24, -0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 9 = 3*y, 1784*y - 1783*y = o - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + 33?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - f - 3. Let a be m(-4). Let t = -5 - a. Suppose 56 = 4*w + k + k, t = -5*k. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -10 - -11) + -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j + 8. Let m(c) = 9*c**3 - 8*c**2 - c + 6. Let x be m(2). Let o = x + -48. Let i be y(o). Solve 14*s - i = 9*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15, 17, 0.4?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 9*f**2 + 3*f**2 - 13*f**2. Suppose 2*l = i + 5, -4*l + 3*l = i + 2. Let g(m) = 1 - m + 0 - m**2 - l. Determine z(g(o)).\nAnswer: -o**4 - 2*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3977559 to the power of 1\/3, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 467384 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*m = -121*m + 18 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 572 + 11*i**2 - 1756 + 33 + 580 + 571.\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2568101.\nAnswer: 2568101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*n - 43950 = -7452. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23873230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**3\/4 - 16075*w**2\/2 - 10718*w = 0.\nAnswer: -4\/3, 0, 10718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((45\/60)\/((-3)\/(-12)))\/21?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 623.7092 millennia in months?\nAnswer: 7484510.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, c: 7}. What is prob of picking 2 c and 2 n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 43 - 148. Is 10 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 136 + -24 + 280130\/(-2507).\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -340.5 - -341. Let k = 1186\/11 - 108. Which is the nearest to -1? (a) k (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003295614 to 7 decimal places.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**3 + 1013*p - 51 + 15 - 1011*p)*(4 - p - 4).\nAnswer: 3*p**4 - 2*p**2 + 36*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (994\/852)\/(35\/290)?\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 0*j - 25. Suppose j = -2*s + z, 4*z = s + 2*z + 1. Is 71 + -3 + 2 + s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m + 5*m - 4*m + 2*m + m + 0*m + (5*m - m - 3*m)*(-4 + 2 + 0).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2913756?\nAnswer: 2, 3, 242813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11286118?\nAnswer: 2, 5643059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 9:50 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1110*l**2*r**2 - 7*l**2 + 76*l*r wrt r.\nAnswer: -2220*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 14*l - 3. Let p(w) = 2*w**2 - 27*w - 7. Let k(i) = -11*o(i) + 6*p(i). Give k(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 + 1\/(350\/(-19200))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1064 - 1565. Let q = -285 - b. Does 34 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zjjsjhhyzsszhjzzjzz. Give prob of picking 2 s, 1 y, and 1 j.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 8*l - 10. Let w(i) = -17*i + 21. Give -13*g(f) - 6*w(f).\nAnswer: -2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004891 rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -12\/851?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of 2*h**2 + 1\/12*h**4 + 3\/2*h**3 + 0 + 0*h. What is the derivative of d(g) wrt g?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1807 is divided by 133?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -156\/271 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2045542 (base 6) in base 8?\nAnswer: 302706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -589.6 * 3\nAnswer: -1768.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 128777530 a multiple of 4130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -139 - -227. Let y be 1 - (k\/(-54))\/(-2). Let m = y + -23\/27. Are m and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011111100011010 (base 2) to base 3.\nAnswer: -2111002221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85 and 3293937?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 4 = 3*i. Let x(j) = 4*j - 3. Give x(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9128 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -778 + 778. Sort -3, 28, 4, l in increasing order.\nAnswer: -3, l, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p - 19*p + 10 = 2*c - 4*c, 4*p - 6*c = 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -522123, -522132, -522139, -522138, -522123, -522088, -522027, -521934?\n\"Answer: q**3 - 5*q**2 - q - 522118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2544 to two dps.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -0*b + 6*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/(-15) - (-103)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-10))\/((-2358)\/(-90) - 26)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274 + 490 + 300 = 56*t for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j*(j**1*j*j*j)\/j))**(-39) assuming j is positive.\nAnswer: j**78","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63604*l**2 + 127382*l**2 - 63681*l**2.\nAnswer: 97*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 247500 divided by -1375.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -2554.341\nAnswer: -2559.341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 + -0.001.\nAnswer: 70.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 - 29. Suppose -18 = 5*y + x. Which is the second smallest value? (a) 1\/6 (b) y (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72*(-4)\/(-64)*(-2)\/3)\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -19701 and 44 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*c - 14257 - 3821. Let t = 865 - c. Suppose -3*f - v + 116 = -0*v, 88 = 2*f - 2*v. Calculate the remainder when t is divided by f.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a + 7. Let z be (32\/20 - 1)*(2 - -3). Let c(q) = -3*q. Let r(k) = -6*k - 2. Let f(o) = z*r(o) - 7*c(o). Determine 3*f(b) + 2*u(b).\nAnswer: b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/(-4) - 1\/(-2). Let b(u) = u**3 - 18*u - 1. Let d be b(-4). Let l(s) = -2*s**2 - 2*s**2 + s**3 - 24*s + d + 17*s. Calculate l(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -245875806 divided by -22\nAnswer: 11176173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/5 of a kilogram in grams?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153722 = -106*l + 570938. Is 24 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/2)\/(-4)*1. Let q(m) = 2*m + 81. Let v be q(k). What is the greatest common divisor of v and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -278, -3 in decreasing order.\nAnswer: 5, -1, -3, -278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*v + 6*v - 4 + 4 to the form s + z*v and give z.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s**3 - 4*s**2 - 3*s. Let i = 7865 + -7863. What is f(i)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 13*n**2 + 2*n - 1. Let j be a(2). Suppose h + j = 6*h. Let p = -1 + h. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 79 - 78.901. Let u = c - 0.0990157. What is u rounded to 6 decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206912 is divided by 267?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - -7224172\nAnswer: 7224172.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = -30*h + 4*w, -w - 255303 = h - 255306 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 21. Suppose -2*t = -2*f + z, 0 + 3 = f - 5*t. Suppose -f*b + 3 = -3. Solve m = -5*c - 17, c + 2 = -b*m - c for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19397 - -27204. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2345.9995 + 2333. Let l = -13 - w. What is l rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2156\/1386*(-456)\/(-119) - 6.\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38618 - -23998. Does 24 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/5 + 4354*c - 65292\/5.\nAnswer: -2*(c - 10882)*(c - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -v - 4*v + 45, -4*v + x = -36. Let a(w) = w**2 - 118*w - 972. Let i be a(126). What is the greatest common factor of i and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 51*l**3 - 2*l**2 + 1. What is o(-1)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1054\/68)\/31*-70?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1362 + 10?\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.37? (a) 0 (b) 2\/31 (c) -2\/11 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 71\/97536?\nAnswer: 71\/97536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 11 = 3*a + 3*s, 2 = -s. Find the third derivative of 2*n**2 - 33*n**3 + 20*n**a - 38*n**3 + 0 - 15 wrt n.\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -267 or -1334\/5?\nAnswer: -267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.246 times -450?\nAnswer: -110.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/2519972 and -15\/10879.\nAnswer: 27719692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 24 = -t, 5298*t + 35 = -3*w + 5303*t for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-8)*i)\/(i\/(i\/i**(-10\/3))) assuming i is positive.\nAnswer: i**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**5\/30 + f**2. Let q(k) = -4*k**2 - 2*k + 2. Let c(p) = 17*p**2 + 9*p - 9. Let m(n) = 4*c(n) + 18*q(n). What is m(w(d))?\nAnswer: -16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*m - 110*m + 347*m + 26*m.\nAnswer: 156*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*277401.4.\nAnswer: -110960.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 158356937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 230*m - 11120. What is l(41)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-six fifths of a milligram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by -1930?\nAnswer: -9\/965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d\/(d\/(d\/d**(-2\/11)*d))))\/d)\/(d*d**(-3)*d))\/((d*d**2)\/d**(-1\/5)))\/((d**0\/d)**15\/(d**(-8)*d\/d**3*d)) assuming d is positive.\nAnswer: d**(89\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.07 + 4.93. Let r be ((-90)\/25)\/(-6) - (-31)\/(-35). What is the fourth biggest value in m, r, 0.3, 17?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.384 - 0.016. Which is the third smallest value? (a) w (b) 27 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = 3*v + 3*p, 52*v - p - 19 = 30*v + 21*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 3*w - 48. Let d(l) = -2*l - 12 + 3*l + w. Let o(p) = -5*p. Let u(f) = 4*f. Let q(z) = -5*o(z) - 6*u(z). Determine q(d(y)).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*k = -30. Suppose k = 3*p + c, 2*p + 2 = -2*c + 18. Suppose -4*h = -5*h + p. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 6:31 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3763406 weeks in nanoseconds?\nAnswer: 227610794880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12366 and 81067374.\nAnswer: 243202122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 676711 and 188083?\nAnswer: 1939","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-7)*n)\/n)\/n**(-12)*(n**(2\/13))**(-6\/17) assuming n is positive.\nAnswer: n**(1093\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16248 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.128 - -0.179. Let p = 0.049 + f. Which is the closest to -1\/2? (a) -3\/4 (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -18*j - 1. Let a(y) = 5*y**2 + 7*y - 6. What is the lowest common multiple of 118 and a(j)?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10830623 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**3 - 2*u**3 + 5*u**3 + 2*u**3 + 1655 - 63*u**2 - 7*u**3.\nAnswer: -3*u**3 - 63*u**2 + 1655","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 427291900 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/2072 and 79\/13986.\nAnswer: 55944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*h - 4 + 22, -22 = 3*h - 4*b. Let d be 12\/(-8) + (-9)\/2. Let k be 140\/12 + h\/d. Solve 6 = 2*w - 2*c, w + w + 4*c = -k for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 103014189\/877 + -117462. Let f = t - 86973\/8770. Find the common denominator of (-54)\/(-20) + (-4)\/(-10) and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/13)*u**5*(u*(u*u**(-7))\/u)\/(u\/((u*u\/(u*u\/(u**(-2\/11)*u)*u*u)*u)\/u)) assuming u is positive.\nAnswer: u**(-477\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -0.6 (c) -0.2 (d) -0.5 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-4) + (-3 - 0). Is ((-2)\/(-4))\/(n\/(-92)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1)\/l)**(-1\/19)\/((l**3\/l)\/(l*l\/(l\/l**11))) assuming l is positive.\nAnswer: l**(191\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f + 17. Let v(m) = -m + 1. Let q(s) = p(s) + 3*v(s). Suppose -2*t = t. Let z be q(t). What is the greatest common factor of 8 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, n: 1, h: 18}. Give prob of sequence hz.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y*(y*y*y*y\/y**(-27))\/y*y))\/y*y)\/y**(2\/5) assuming y is positive.\nAnswer: y**(-162\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**5\/30 + 77*m**4 - 923*m**3\/3 + 21*m**2 - 5*m - 1. Let g(r) = 0. What is r?\nAnswer: 1, 923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 - 5*b + 2*b - b + 5*b.\nAnswer: b - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2392372 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -35*j**3 + 34*j**3 - 3*j**2 + 14*j**2 - 15 + 5*j. What is the tens digit of q(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7771 + -7766. Solve -c = -4*t - 18, t - c = -y*c - 13 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5389353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of i**4\/24 + 3*i**2. Let j(n) = 10*n. What is j(d(t))?\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 3455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*h**2 + 5*h - 4?\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 1075?\nAnswer: -1075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -b9b?\nAnswer: -ba0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggfgggfgdffggfdggg. What is prob of picking 2 f?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = z + 5*o, -112*z + 117*z - 5*o - 20 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-23)\/5 - 15\/(-25). Let w be -1 - 2\/m*6. Suppose -y + 48 = -4*k - 30, -w*y = -5*k - 144. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 10*x - 13. Let i be c(-11). Let h(m) = 2*m - 9. Let t(z) = z - 8. Let d(q) = i*h(q) + 3*t(q). Let j be d(-6). Solve j*o = -o - 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -8*z**2 + 2*z. Let t(l) = -9*l**2 + 2*l. Let y(p) = p**2 - 14*p - 28. Let b be y(16). Calculate b*n(j) - 3*t(j).\nAnswer: -5*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1243, -4457, -9813, -17311, -26951?\n\"Answer: -1071*g**2 - g - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5594815 divided by 1118963?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 4) + 6 + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n**2. Let q(w) = -6. Let l(o) = 13. Let u(p) = 3*l(p) + 7*q(p). Let z(j) = j - 1. Let g(c) = -u(c) + 3*z(c). Give g(m(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 48.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -9*z**2. Suppose -39*g - 162 + 117 = -123. Let q(a) be the first derivative of -2\/3*a**3 + 32 + 0*a + 0*a**g. What is q(w(m))?\nAnswer: -162*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) + 1*sqrt(26)*-1)\/(sqrt(2) - 2*sqrt(72)) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 22392*v**3 + 5959*v**3 - 30.\nAnswer: 28351*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003711237482 to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**4 + p**4 + p**4)*(3 - 2*p - 3) + 0*p**5 + 2*p**5 + 0*p**5 + 2*p**5 - p + p + (-p**2 - 3*p**2 + 0*p**2)*(-4*p**2 + 4*p**2 + p**3).\nAnswer: 2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**1)\/u)\/u**(-11))\/(u*((u**(-7\/4)\/u)\/u)\/u*u**(-11)) assuming u is positive.\nAnswer: u**(99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -302044120 (base 5) to base 16.\nAnswer: -126790","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-seven quarters of a gram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1130 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.3 + -3. Let q = 131 - 273. Let z = q - -143. Which is the closest to z? (a) 2\/17 (b) 0.1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-4)*(-16)\/(-60). Let j = -0.069 - 0.001. Let w = -58 + 58.4. What is the second smallest value in j, w, p, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 1\/360*l**5 + 0*l + 0 + 1\/36*l**3 - 1\/72*l**4 + 12*l**2. Factor s(k).\nAnswer: (k - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 249 and 83.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 830\/(-170) - (-66)\/272.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**4\/24 + 2927*g**3\/6 + 8*g**2. Is b(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3098405 is divided by 140836.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 182190551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 12:44 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 7*o**2 - 19*o + 17. Determine p(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1711, -1712, -1713?\nAnswer: -1714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 78\/112*(-28)\/21 and -31\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -8, -4 in ascending order.\nAnswer: -8, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 51*a*f*v + 6*a*v**3 - 131*a*v - f*v**3 - 8*f*v**2 wrt f?\nAnswer: 51*a*v - v**3 - 8*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 2*v + 9 = 0, -b - 16 = 3*b + 4*v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 0 + o + 3*o**3 - 2*o + o**4 - 15*o**3 to s + i*o**3 + p*o**4 + y*o**2 + a*o and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of 0*z + 25\/6*z**3 + 0 + 0*z**4 - 10*z**2 + 7\/60*z**5. What is the first derivative of q(h) wrt h?\nAnswer: 14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 5*r + 24, 19*n + 32 = -2*r + 23*n for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209685?\nAnswer: 3, 5, 7, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*g + 23, -5*g - 1 = 3*a - g. Let t be 5\/(a\/(-1))*10. Let i = 30 - t. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(63))**2*5*-6.\nAnswer: 11340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, -1\/8, 1, 0.13, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30748069.\nAnswer: 11, 2795279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, 4, -4, 0 in decreasing order.\nAnswer: 35, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154 and 88858.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ns when two letters picked without replacement from {s: 2, n: 3, r: 3, o: 1, m: 1, i: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 3*a + 2*a - 3, -1 = 3*a - t. Suppose -o + 1691 = 4*q - 0*o, a = -q + 3*o + 426. List the prime factors of q.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 + 0. Let y = -3.6 + 0.6. What is the smallest value in 1\/3, y, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.8 from -647133.\nAnswer: -647133.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = o + 5*a - 1, 5 = -o - 3*a. Suppose -o*g = -0*g - 0*g. Suppose 5*r - 9 - 31 = g. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d = 54*d - 21*d + 215 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8223 times -0.1?\nAnswer: -822.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -13*j**3 + 114*j**2 + 5*j - 4. What is p(9)?\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + -436*105\/(-900) + -24?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -399859 divided by -85.\nAnswer: 399859\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -8*k**2 + 9*k - 62. Let i(y) = -y**2 + 3*y. Let x(w) = 3*i(w) - u(w). Let p(r) be the first derivative of x(r). Let m(z) = -8*z. Determine m(p(b)).\nAnswer: -80*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 105014 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -118*n**2 + 10*n + 7. Let t(z) = 116*z**2 - 8*z - 6. Calculate -5*s(j) - 6*t(j).\nAnswer: -106*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.053 - 22.947. Let d = m + 23.00000095. Round d to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (1 - -1 - (5 + -3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29078?\nAnswer: 2, 7, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6502, -26154, -58910, -104770?\nAnswer: -163734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m**2 + 0*m**2 - 2*m**2)*(2*m - 4 + 4) - 32*m**3 + 30*m**3 + 18*m**3 to the form i + l*m**2 + r*m + d*m**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8746 is divided by 81.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 156.8 - 137. Let d = -19.8 + o. Let v = 4 - 5. Which is the biggest value? (a) -1\/2 (b) v (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -58*v**4 - v**3 - 186 wrt v.\nAnswer: -232*v**3 - 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.223 + 0.123. Let b = -4.04 + 0.04. What is the third biggest value in t, 0.5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 2 - 0. Let a be (-6)\/(((5 - -3)\/(-4))\/(-2)). Let z be (-7 + 1)*a\/(51*4). Which is smaller: z or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.527 + 0.027. Let o = 124 + -123.99. Sort o, 2\/3, w.\nAnswer: w, o, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2 - 143218*j + 143218*j. Let u(w) = -77*w**2 + 1. Determine u(t(v)).\nAnswer: -308*v**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l - n = -17*l + 12981, -2*n + 21635 = 5*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*g, -4*m + 79 = 2*g + 73 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 18. Let y be v(4). Let a be 876\/(-64)*y + 2\/16. Is 28 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 231123, 462364, 693605, 924846, 1156087, 1387328?\n\"Answer: 231241*k - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t = 3*z - 17*t - 139, -5*t - 84 = -2*z. Calculate the remainder when 934 is divided by z.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.5, 808, -0.2 in ascending order.\nAnswer: -1.5, -0.2, 808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24445, -97385, -218951, -389143, -607961?\nAnswer: -875405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.01 (b) -5\/2 (c) -8\/3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1159 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.460441 to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -h**5\/20 - h**4\/4 - h**3\/2 - 11*h**2. Determine k, given that y(k) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -12*q + 12. Let m be c(-3). Calculate the greatest common factor of 16 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15612806?\nAnswer: 2, 11, 709673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -13*k + 211813. Let g(x) = -5*x. Determine g(t(p)).\nAnswer: 65*p - 1059065","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 4*a**2 - 33559*a + 33552*a + 8 as f + h*a + l*a**2 and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -8, 829, 2, 2\/33, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5355*q - 404*q**3 + 1198*q + 4157*q.\nAnswer: -404*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*i**4 + 76*i**3 + 3142*i**2 - 229370*i + 8?\nAnswer: -60*i**2 + 456*i + 6284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 1 - (-4 + 4 + -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 662*t**2 + 2566 + 2772*t**2 + 5*t - 1403 - 1359 + 25*t. Let a be i(27). Round a to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4012315?\nAnswer: 5, 802463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16591 and 241099.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 787852 is divided by 5083.\nAnswer: 5070","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35905 is divided by 1493?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -459\/1771 - -718507\/715484. Let i = -2451 - -495103\/202. Let t = u + i. What is the nearest to 2 in t, -0.06, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 1931603 = -4*d - 694075, n = 3*d - 928174. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*g = 9. Let l be (13500\/3)\/(g\/260). What is l rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 461*t + 9993 = -9369 for t.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 583 and -29.\nAnswer: -16907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 15*v + 15. Let t(g) = g**3 + 17*g**2 - g - 3. Let x be t(-17). What is p(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 28*u - 62. Solve -2*k - i - 4 = u, -3*k + 13 = -4*i for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1140 = 47*d - 53*d. List the prime factors of d.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57076 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -a**6\/6 + a**3 - 16*a**2 + 2. What is the second derivative of r(h) wrt h?\nAnswer: -20*h**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/14 + (-10)\/(-4). Suppose -y*f - 7 = -f. Calculate the lowest common multiple of 2\/f - (-90)\/21 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 1569 = -c - 1589 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-392)\/(-44))\/((-1859)\/(-121) + -15). Let -g - 1\/2*o**2 - 7*o = 0. What is o?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 804 divide 174000482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6314, 19159, 38538, 64451, 96898?\nAnswer: 135879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*w = -6*w + 159 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -78. Let w be (6 + -4)\/((-12)\/(-318) + 0). Suppose 0 = w*r - x*r + 174. List the prime factors of r.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxnxnxxnnx. What is prob of sequence xn?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 108579358813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -395.4 + -0.137.\nAnswer: -395.537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 917*u**3 - 346 - 360 - 23*u**3 - 2266*u**3 wrt u.\nAnswer: -4116*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m - 1162 = -469. Suppose -13*k - 5 = -8*k, -5*k = 2*x - m. What is the highest common divisor of x and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**3 - 85*j**2 - 220*j - 140 = 0. Calculate j.\nAnswer: -14, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*f - 3*f + 5*f)*(3*f - 6*f + 2*f)*(-3*f + f - 12*f).\nAnswer: 140*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of 7*g**2 + 0 + 0*g - 71\/8*g**4 - 1\/3*g**3. Is p(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - 3*a**2 + (8*a - 2*a - a)*(2*a - 5*a + 2*a + 3) in the form o*a**2 + b + m*a and give m.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 201 - -2 - (8309 - 8239).\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/11*s**2 + 122\/11 + 124\/11*s = 0 for s.\nAnswer: -61, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.52 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -30*o - 32. Let j be s(4). Let h = 140 + j. Let q(v) = -v - 12. What is q(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4663533?\nAnswer: 3, 7, 222073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = n - 51, -4*n + 16*w + 90 = 13*w. Calculate the remainder when 1750 is divided by n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((472\/59)\/(1*26))\/(-1)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 20 - 2 = 4*w, 2*m = -w + 17. Let y = -13 + 18. Suppose 0 = y*i - m*i + 30. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34101328 plus 0.4?\nAnswer: 34101328.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((99 - 82) + (-121)\/7)\/(-1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -83376, -83377, -83378, -83379, -83380?\n\"Answer: -x - 83375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 57 + 58 = 0. What is the remainder when 54 is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51933719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-22)\/(-6) - 48\/72. Suppose i*m = f - 3*f + 2348, 0 = -5*m - f + 3918. Is m a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 59*l + 178. Let g be a(-68). Calculate the greatest common divisor of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k**2 + 1. Suppose t = -6*g + g - 3, -9 = 3*g. Suppose 3*x + 3*h + t = 3, -3*h - 13 = x. Determine i(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13245410?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/5)\/(1\/(-5)). Suppose -18 = -3*y - b*s, 3 - 7 = 2*y - 4*s. Solve 3*u + y = 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/15)\/l)\/((l\/(l*l**38*l)*l*l)\/l)*l**(-2\/61)\/l**(-3) assuming l is positive.\nAnswer: l**(36692\/915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 10) in base 8?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.01 - 0.19. Let m = a - -0.19992. Round m to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 202, 196, 192, 190, 190?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0034999 to five decimal places.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9063029 less than or equal to 27189089\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 790?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/138 and -143\/210.\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 918436 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 592142\/7 + -84782. Let z = s - -190. Is 0 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**4\/(l*l**(-4\/9))*(l**(2\/5))**(-14) assuming l is positive.\nAnswer: l**(-97\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 7*c + 3. Let q be d(-7). Suppose q - 4 = -f. Suppose -w - 4*j + f = 0, -4*w = -3*j - 13 - 48. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(153)*1)**2*-2.\nAnswer: -324 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = y + 4 - 3, 4*u + 2*y = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 5:12 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -103, 719534 in decreasing order.\nAnswer: 719534, 3, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 337 - -4?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*u + 4 = 9*u, 0 = 5*z - 4*u - 2. Solve 4*l - 1 + 9 = 4*x, 3*x - 8 = z*l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54717 and 3499509?\nAnswer: 2379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -743 = r - 6*r - o, 0 = -4*r - 3*o + 590. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9083659.\nAnswer: 13, 67, 10429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/26)\/(-2) - (-5238)\/78. Suppose -3*o = 5*i - w + 21, -4*o + 40 = -4*i. What is the greatest common divisor of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -6. Let q = 3 - f. Is q + 1 + 2 - -3 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 + -32. Let h = n - 1. Suppose 2*k + 315 = h*k. Is 21 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.3700709 + 4.37. Round y to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 + 1 - 858\/36 and 101\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -13*w - 2*w**2 + 8*w - 51*w - 17*w - 56. Let v be c(-33). Calculate the greatest common factor of 7 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -54*k. Let l(v) = -1321*v**2. Determine u(l(d)).\nAnswer: 71334*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2282 and 180209866.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 5*i**2 - 12*i - 52. Let z be m(7). Let p = z - -850. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1035863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 29*b**5\/20 + 95*b**2\/2 - 15*b - 113. Let h(o) be the first derivative of p(o). What is the first derivative of h(x) wrt x?\nAnswer: 87*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/2128 and 91\/264.\nAnswer: 70224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*i - 60 = 27*i. Let o(v) = v**3 - 8*v**2 - v - 1. Let h be o(8). Calculate the remainder when (-11)\/(1 - h\/(-6)) is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 18 = -3*h. Let q(u) be the first derivative of -2304*u**2 - 56*u - 355. Let j be q(h). Round j to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5\/8 of a millisecond?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-4)\/(8 + 0)). Solve 3*k = -w*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15 (b) -3 (c) 4 (d) 2\/9 (e) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2432*l**2 + 2841*l + 13. Let p(i) = -1212*i**2 - 1420*i - 6. Let d(x) = 13*p(x) + 6*y(x). What is the second derivative of d(q) wrt q?\nAnswer: -2328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*g - 46*g + 54 = 0. Suppose -21 = -75*q + g. Suppose -3*o + 5*o - 8 = 0. Put -5, o, q, -2 in decreasing order.\nAnswer: o, q, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 6*m**2 - 6*m + 5. Let g be o(5). Let b = -5 - -9. Solve -5*z + b = -w - g*w, z + 4*w - 5 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 111, 1, -66428, -1.\nAnswer: -66428, -1, 1, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*k**2 - 572 + 572 + (-1 + 1 + 2*k)*(3*k - 3*k - 2*k).\nAnswer: -30*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7400872448.\nAnswer: 2, 787, 18367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1665.06005 - -1665. What is s rounded to 3 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -10. Find the first derivative of -2 + 0*s + 6 - c*s + 3 wrt s.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence umj when three letters picked without replacement from {c: 3, z: 5, m: 2, j: 1, u: 7}?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 8:20 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 11:32 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((z - 2*z + 0*z)*(-1 + 1 + z) + 4*z**2 - 3*z**2 - 3*z**2 + 12*z**2 + 6*z**2 - 6*z**2)*(0*z + 0*z + 2*z**3 + (-2*z**2 - 4 + 4)*(3*z + 0*z - 4*z)).\nAnswer: 36*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2 + sqrt(19))**2*-3 + (3*sqrt(190)*-1)\/sqrt(10).\nAnswer: -60 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 4*p**4 + 848*p**3 - 1708*p**2 + 856*p = 0.\nAnswer: -214, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -60*(-4 - (-42)\/12). Suppose 0 = -4*o - 10 - v. Is 10 a factor of 126\/4 + 75\/o + 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (2 - 8 - -2). Is 192 - (8 + -4) - k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u**3 + 375482*u**2 + 9 - 375482*u**2. Let b(l) = -5*l**3 - 10. Determine -6*b(i) - 7*d(i).\nAnswer: 2*i**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**26*h**(5\/7))**(-14) assuming h is positive.\nAnswer: h**(-374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -41437632 divided by -222?\nAnswer: 186656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.4 + -2.9. Let o be (((-4)\/(-3))\/(-4))\/((-4)\/(-24)). Sort b, 0.2, o in decreasing order.\nAnswer: b, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 127 - 9?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (0 - (1 + 1 + 1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008179704 rounded to 7 decimal places?\nAnswer: -0.0000818","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17485064 by 2185633.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(64\/(-40))*24\/4?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 3:43 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 53*c**2 + 114*c - 38. Let g be q(55). Suppose t - f = 16, 78 = 5*t + 2*f - 6*f. Calculate the greatest common factor of g and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -5*v**3 - 1538*v**2 + 5288*v + 486. Give r(-311).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**2 + 6*j**2 + 6*j**2 + 8*j**2 - 20*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3970 is divided by 832.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - (-1 + 3\/3). Suppose 2*o + 42 = w*o. Calculate the remainder when 25 is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a decade?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 159, 645, 1461, 2607?\n\"Answer: 165*d**2 - 9*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 3*v**2\/2 - 2*v - 17. Let c(y) = -3 + 0*y + 3*y + 2*y. What is -4*c(w) + 7*l(w)?\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -10 + (4 - 3)*0. Let o = p - -13. Let y = -1 - -8. What is the lowest common multiple of y and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 612017.\nAnswer: 7, 17, 37, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 5*k - 24 = 0. Let q = k + -9. Calculate the remainder when 17 is divided by (-17)\/(-2) + q\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4507 + 1894 = -123*z + 1604 for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1562 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h. Suppose 0 = -n + 3*n. Suppose j - 5*j = n. Let b(w) = w - w + w + j. What is v(b(o))?\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 84379867 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93995 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 5*w + 10, 0 = 2*k - 8*w + 3*w + 2. Let n(a) = -2*a**2 + 5*a + 5*a**2 - 2 - 2*a**2. What is the tens digit of n(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + -8 + -21 + -30 - 28.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 8:41 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1752530797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2. Let t(z) = z - 43. Determine s(t(r)).\nAnswer: r**2 - 86*r + 1849","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 4*g - 428649*g**2 + 8*g + 23528*g**2 + 5.\nAnswer: -405121*g**2 + 4*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 13, 1\/3, 2\/13 in decreasing order.\nAnswer: 13, 0.5, 1\/3, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-85) - 265\/85*-1. Let i = -21\/5 + 23\/5. Factor -4\/5*d**2 + 4\/5*d**4 + 2\/5*d + 0*d**s + 0 - i*d**5.\nAnswer: -2*d*(d - 1)**3*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -16\/10881?\nAnswer: -16\/10881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 70\/3*v - 2\/3*v**2 = 0. What is v?\nAnswer: -35, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, m: 3}. Give prob of picking 2 m and 2 p.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 50\/60 + ((-4)\/(-8))\/1. Suppose -z*d**3 + 2\/3*d**4 + 0*d**2 - 2\/3 + 4\/3*d = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25681478 rounded to the nearest one hundred thousand?\nAnswer: -25700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -7 + (0 - (-19 + 5)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 313 + -13113?\nAnswer: -12200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 89\/11 or 9?\nAnswer: 89\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 76366 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, l: 2}. What is prob of picking 1 r and 2 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i + i**2 - 5*i + 0*i - 6720 + 6696. Let d be b(-3). Let r(a) = 2*a - 1. Let n be r(1). Put -1, d, n, -2 in ascending order.\nAnswer: d, -2, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -317528486 divided by 40714\nAnswer: -7799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 6*w + 11. Let h be d(7). Suppose 0 = h*z - 20 - 0. What is the least common multiple of 8\/(-20) - (-54)\/10 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 - -21. Suppose 56 = -2*n + o. Let l = -8 - -4. Put -0.5, n, l in decreasing order.\nAnswer: -0.5, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 8*v - 9. Suppose -f + 2*f - 2 = -g, 4*g = 16. Let b(q) = -q**2 + 5*q + 2. Let s be b(5). Let j be s*f\/(2\/(-3)). What is y(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s - 22. Let t be p(-9). Suppose 0 = t*w + 14 - 114. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - c)*(-8*c + 136 - 136).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**4*r**2 + 5*i**2*n**2 + 3*i**2 - 2*i*n**2*r**2 - 113*i*n*r**2 + i*n wrt i?\nAnswer: -24*i**2*r**2 + 10*n**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, a: 7, m: 4, c: 5}. Give prob of picking 3 a and 1 u.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4284\/37 at least -117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2236389.17 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + sqrt(14)\/sqrt(7) + 5)**2.\nAnswer: 90*sqrt(2) + 415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11250, 11463, 11676, 11889, 12102, 12315?\nAnswer: 12528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 1098 = 3612. Let b = -4667\/5 + y. Find the common denominator of 101\/2 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -89 + 91. What is the third derivative of -36*p**l + 20*p**2 - 20*p**4 - 14*p**4 wrt p?\nAnswer: -816*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3*(2*(3 + sqrt(7)) + 1 + sqrt(63)\/(3*sqrt(1296))).\nAnswer: -21 - 73*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j + 1. Suppose -g + 2 = -0*g, 5*k = -4*g + 38. Calculate t(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-35 - (-4)\/(-2))*(8 + -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4867553 + 5?\nAnswer: -4867548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -67*b**3 + 229 wrt b?\nAnswer: -201*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*w = 13, 0 = -4*w + 5*w - 1. Suppose n*o = 6*o - 123. Let b = -39 - o. Solve -i + 10 = 2*t, b*t + i - 5*i = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 543*o - 86. What is the tens digit of z(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13299 in -0.154, 3, 0.2, -2\/13, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**6\/60 - f**4\/24 + 6*f + 4. Let u(r) be the first derivative of p(r). Factor u(o).\nAnswer: o**2*(o - 1)*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1004 = -5*c + 2*g, 5*c - 884 - 110 = -3*g. Suppose v = -3*v + c. Suppose 0 = -0*a - a + v. Calculate the remainder when a is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -0.3 (c) -0.2 (d) 22 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 94\/14 - 4\/(-14). What is the second derivative of -q*n + 11*n + 6*n**2 - 2*n**2 wrt n?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2*d**3 - 3 + 17*d**2 - 6*d**2 - 171*d**2 + 5 - 2*d as a + b*d**3 + m*d + u*d**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -216469, -432915, -649299, -865621, -1081881, -1298079?\nAnswer: -1514215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -53 + 4*z + 115 - 4*z - 12*z. Let y be i(5). Let j be 0 - 5\/((-55)\/(-2)). Which is the nearest to y? (a) 5 (b) j (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 31*(-1)\/(-4)*-4. Let j = 56 + x. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -7*n**4\/24 + 2*n**2. Let m(t) = -6*t**2 + 9*t**2 - 2*t**2. Give m(h(y)).\nAnswer: 49*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 - 2\/(-3)*3. Let h(s) = s**3 + s**2 - 2*s - 2. Let m be h(2). Let n be 3 + (444\/(-10))\/m. Which is greater: t or n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 359004 + (16\/6)\/((-4)\/6). What is m rounded to the nearest ten thousand?\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 923459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - 85 - -54 - (-1 + -15)) + 30.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*r - 6*r + 0*r)*(-3*r + r + 3*r) + 2*r**2 - 18 + 18 + (4 - 4 - r)*(0*r - 2*r + 0*r) - r**2 - 3*r + 3*r.\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-27))\/(10\/(-1980)*-22) + 70\/56. Find x such that 1\/2*x**2 + 3\/4*x**3 - 3*x - c*x**4 + 2 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 1)\/(222\/4662) + 46\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15774 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -6*d**2 + 3 + 3*d + 0*d**2 + 6395*d**3 - 6392*d**3. Calculate j(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 divided by -10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1110000100011010 (base 2) to base 6\nAnswer: 1122442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*w**2 + 8593009*w - 8593009*w + 124 + (0*w**2 - 2*w**2 + 3*w**2)*(-1 + 5 - 3).\nAnswer: 29*w**2 + 124","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 259995674 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s**3 - 5*s**2 + 6*s + 29. Let m be p(-3). Solve -m*w - 25 = -79*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**0)**(-1\/20))**45)**(-1\/13) assuming v is positive.\nAnswer: v**(9\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -22. What is the tens digit of 4 + 7\/i*8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/48485 or 0?\nAnswer: 6\/48485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 8:03 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*l**3 + 9*l**2 - 33*l**2 + 24*l**2.\nAnswer: -13*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 41487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9240194 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -25922039\nAnswer: -7776611.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2280*c**2 - 2258*c**2 + 4506*c**2.\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 3*x = -4*c + 147, 3*x = 9. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 + (94 - -61) + -54?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 47976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5068.62 minus 0.3?\nAnswer: 5068.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 452?\nAnswer: -502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5194799.5 and 1070449.\nAnswer: 6265248.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 0.4502?\nAnswer: 1.8008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vry when three letters picked without replacement from vtvrmyvmvvmv?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 2) + -17 + -3.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2745.\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + y**2 + y - 2. Suppose 14 - 34 = 3*c - 5*x, 3*c = 2*x - 8. Let m be j(c). Put -3, -31, m, 0 in decreasing order.\nAnswer: 0, m, -3, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 382 in 339\/43, -1, 15\/7?\nAnswer: 339\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.4, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - -5. Suppose -3*c + 4*m - 455 = 0, 326 = -3*c - 4*m - 161. Let p = c + 162. Solve l = p*u, 3*t = 2*u + 2*u - 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27.5 + -26.27. Let f = 5.77 + y. What is the biggest value in 0.1, f, 0.2, -2\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001419 rounded to 6 decimal places?\nAnswer: -0.000142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 723140513 to the nearest integer?\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -24\/163, -2\/5, 5, -1\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1056 = -19*c + 30*c. Calculate the highest common divisor of 72 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -1. Suppose k = 3*v - 8. Suppose -5*r = 5*n - 194 - 21, 5*n - 209 = -v*r. Does 20 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 243*q + 1468. Let j be t(-6). Solve 3*h + j = -2*h, -7 = -3*w + 2*h for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -609537 divided by 203179\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 4*l - 3 - 45, -l + 2*l = 0. Solve 6*h - d = 12*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 - 5. Suppose 0 = 2*r + 2*r - r. Suppose 6*m - 11*m + r*m = 0. Let u be i(m). What is the fourth biggest value in -4, u, -0.04, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 662375 and 175?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p**3*v + 234525*p**3 + 401723*p*v - v wrt v.\nAnswer: -2*p**3 + 401723*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -6*x - 6 + 81, -17*w = -12*w + 2*x - 39 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 15*m**2 + 14*m + 13. Suppose w - 219 - 185 = 2*a, 0 = -3*w - 3*a + 1176. Let g = -382 + w. Determine z(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -2, -1, 5, 0.1 in decreasing order.\nAnswer: 5, 0.4, 0.1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/5)\/(k**(1\/7)*k*k))\/((k**(-2)\/k)\/(k*k*k**(-4)))*k*k\/(k\/(k\/(k\/(k**(-4\/3)*k))))*k**5*(k\/(k**1*k))\/k*k*k*k**(-2\/11) assuming k is positive.\nAnswer: k**(4322\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/(-4)*(8 - 10). Suppose -2*m - 5*q - s = 0, 4*m + 11 = 2*q - q. Which is the third biggest value? (a) -1\/6 (b) 0.4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -1\/7 (b) -1\/2 (c) -0.2 (d) -24 (e) -41\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d. Suppose -15*x = -20*x + 85. Let i(k) = -28*k + 8*k + x*k. What is i(b(s))?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -4*u + 6, 3 = -2*u - 3*n + 13 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 721661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 11050 = -5*d, -5*l - 31*d + 28*d = -11010. What is the highest common factor of l and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 3 + (9 - 12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.049823s to hours.\nAnswer: 0.0127916175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(3\/(-95)))\/(5\/15). Let d = y + 100. Calculate the remainder when 5 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -88*k**4 - 77*k**4 - k**4 + 2*k**2 - 104*k + 23*k - 47*k**4 wrt k.\nAnswer: -5112*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 10*q + 46*q - 10.\nAnswer: 56*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 797 is divided by 26?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wiiicic. What is prob of sequence ii?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 810\/105*42\/9 and 54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04852647 to 4 decimal places.\nAnswer: -0.0485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 79486.76 decades in millennia?\nAnswer: 794.8676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.2013 litres to millilitres.\nAnswer: 2201.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 6, -4\/5 in increasing order.\nAnswer: -4\/5, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(33)*5)\/(sqrt(275) + sqrt(275)*-2)*2 + -3*((1*sqrt(243) + -5)*6)**2.\nAnswer: -28944 + 9722*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 52988445+-212.6\nAnswer: 52988232.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3919*v**3 - 191*v**2 + 4031439*v wrt v.\nAnswer: -23514*v - 382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -3 - (4 + -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-312)\/(-65))\/6).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - -4 - (3 + -2). Let t be (-4 - -5)\/((-1)\/(-5)). Suppose 20 = 4*q - 0*q. Solve 4*o - 10 = -t*j - 3, -q*j - 17 = -i*o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*l + 184 = -14*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = o + 9. Let w(j) = 93*j - 49. List the prime factors of w(o).\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 509, 1018, 1527, 2036, 2545, 3054?\nAnswer: 3563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.21 + 8.21. Which is the closest to 1? (a) 4\/5 (b) -5 (c) u (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 194398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -7, 4, -294\/5 in decreasing order.\nAnswer: 4, 2\/11, -7, -294\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 40*l + 84. Suppose 5248 = -111*a + 1030. Determine p(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -540 - -538. What is the third biggest value in s, 0.1, 0.2, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.3 - -8. What is the closest to 1 in 0.02, n, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 74.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r + 36. Let t be s(-6). Differentiate -26 - t - 4 - 13 + 48*w with respect to w.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1974655, -4\/3, -3\/2 in ascending order.\nAnswer: -1974655, -3\/2, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/315655622 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 0.029, -193.89, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -0.5101633\nAnswer: -3.0609798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 323710, 1294840, 2913392, 5179366?\nAnswer: 8092762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3391*i**2*m**2 + i**2*m - 23*i**2*x - 36*i*m**2*x**2 - 85*x**2 wrt x?\nAnswer: -23*i**2 - 72*i*m**2*x - 170*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63 + -68. Let h = d - -8. Suppose 0 = -3*c - 15, 5*w - c - 325 = -h*c. What are the prime factors of w?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 6) in base 13?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q + 34. Let i be m(15). Suppose -67*w + i*w = c - 2542, 4*c = -8. What are the prime factors of w?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) -1 (c) -4\/3 (d) 0.1 (e) 41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9484, 19025, 28564, 38101, 47636?\n\"Answer: -r**2 + 9544*r - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -27896*q + 2510628. Calculate h(90).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -4*n - 308, 5*b - 4*n - n - 510 = 0. Let t(d) = d**3 + 4*d**2 - 11*d - 10. Let a be t(3). What is the highest common factor of b and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**2\/4 - 3673*x\/4 - 4585 = 0. What is x?\nAnswer: -3668, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -2217 (b) -5 (c) 2\/13 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -5, -42, -131, -290?\nAnswer: -537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45004?\nAnswer: 2, 11251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -10557866135125\nAnswer: 10557866135120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 561*v**2 - 1493365 + 1493365.\nAnswer: 561*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from irripriirwrrriraffaw. Give prob of picking 1 i, 1 w, and 1 a.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.31 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-4))\/(270\/(-720)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -48, -105, -176, -267, -384?\n\"Answer: -b**3 - b**2 - 47*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6495600 by -6.\nAnswer: 1082600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 144 + 196 = 0. Let f be (-3)\/(1\/(a\/(-4))). Suppose -3*t = -3*s - 0*t + f, -15 = -3*t. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0+659\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10892577)\/(15\/20 - 0). Let y = q + 3436. What is y rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 5*v + 28, -8*v - 90 = 4*l - 50 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - 0, -135*z = -4*r - 130*z + 60 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1993805 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -27\/4*b**2 - 2 - 1\/4*b**4 + 11\/4*b**3 + 25\/4*b = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f + 20. What is n(-16)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - k**2 - k. Let r(j) = -28*j**3 + 35*j**2 + 7*j. Let n(w) = -r(w) - 7*x(w). Find the third derivative of n(u) wrt u.\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, w: 4, q: 2, z: 2, v: 6}. What is prob of picking 1 w and 1 q?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22\/(-6) - (-8)\/(-6). Let r(u) = -2*u. Let q(p) = -p. Let n(c) = y*q(c) + 3*r(c). Let t(x) be the second derivative of 2*x**3\/3 + x. Calculate t(n(z)).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g. Let i(p) = 934*p**2 + 68436*p. Give b(i(a)).\nAnswer: -2802*a**2 - 205308*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -1)*-4 + sqrt(4)\/(1*sqrt(2)).\nAnswer: -3*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 25119.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnn. What is prob of picking 2 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -67, -94, -115, -130?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 617698409 to the nearest integer?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2205411 and 3900.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/11 - (3 - (-1 - -7)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -123*l + 119. What is the units digit of a(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-1614\nAnswer: 1614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -2*n + 2, 0 = -o - 5*n - 3 + 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ya when two letters picked without replacement from {u: 4, a: 4, y: 6}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a second in milliseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*o + 15706 = 0, 4*o + 6471 = 2*l + 173. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 15 = 5*o, -51 = o + 3*v - 54 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 811 divided by 11.\nAnswer: 811\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 + 5*k**2 - 3*k - 7. Let c(g) = -5*g**2. Let a be c(-1). Let q(w) = 6 - 2*w**3 + 2*w + 4*w**2 - 3*w**2 - 5*w**2. Calculate a*q(x) - 4*r(x).\nAnswer: 2*x**3 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -77*k**3 + 23*k**2 + 2*k + 5. Let h(m) = 38*m**3 - 12*m**2 - m - 3. Give -5*h(r) - 3*x(r).\nAnswer: 41*r**3 - 9*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23979?\nAnswer: 3, 7993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/2331799 and -9\/198746.\nAnswer: 200534714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282\/4 + 3\/6 is divided by -2 - 99\/(-36) - (-69)\/4?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 v, and 2 s when four letters picked without replacement from hpvsoovvssv?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - 2) + (20 - 14) + 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = -x + 368450. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 142 in increasing order.\nAnswer: -2, 2, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b - 10. Let n be v(-11). Let y = n - -50. Let m = -11 - -15. Solve -5*p - 3*w + y = 0, 0*p - m*p + 4*w + 8 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45177 divided by 344.\nAnswer: -45177\/344","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 46463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 11 = 19. Are h and -10 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -3) + 1 - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-2 + 4)*(-3)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 31*l - 46. Let d be k(29). Solve -4*y = -4*t - 0*y - d, 3*y = 12 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1444842 and 40383?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100112 (base 3) to base 2.\nAnswer: -1111011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 7)\/14*1\/1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7444466\/351 - -266854\/13. Let r = i + 682. Which is the nearest to -0.1? (a) 4 (b) r (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 697476.2mm to kilometers.\nAnswer: 0.6974762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2.38*0.61\nAnswer: 1.4518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -1, 6, 3, 869, 1 in descending order.\nAnswer: 869, 6, 3, 1, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1443 - -39.9537976956?\nAnswer: -1403.0462023044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**3 + 116*f**2 - 56*f**2 - 60*f**2.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -208*a + 6. What is the units digit of z(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -877.\nAnswer: -2\/877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-8579)\/483 + 1610\/1127.\nAnswer: -55\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 974, 1075, 1244, 1481, 1786, 2159, 2600?\nAnswer: 3109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20120 - -11003?\nAnswer: 31123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - c = 2*c - 19, 4*t - 3*c - 31 = 0. Suppose -u + 18 = -0*u. Let v = u - t. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 6*v**2 - 5 + 12*v + 0 - 4*v**2 - 2*v. Let y(d) = -2*d**2 - 11*d + 6. Determine -7*k(z) - 6*y(z).\nAnswer: -2*z**2 - 4*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 + -63. Let p = 1 - 1. Solve -10 = -p*r - z*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -7*f**6\/60 + 11*f**4\/24 + 171*f**3 + 124*f**2 - 2. Find the first derivative of k(w) wrt w.\nAnswer: -42*w**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 + -79 + 33 + -62?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 9. What is the second smallest value in -1, q, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) - (sqrt(363) - (-1 + sqrt(363)))*-4) + 6*sqrt(18)\/sqrt(54))**2.\nAnswer: 104*sqrt(3) + 523","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, f: 1, l: 1, y: 1, g: 1, b: 1}. Give prob of sequence buyl.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence epq when three letters picked without replacement from {e: 1, q: 1, d: 2, p: 10, u: 6}.\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7276, -7275, -7274, -7273, -7272, -7271?\n\"Answer: m - 7277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 q, and 1 s when three letters picked without replacement from uussquus?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21249.972us to days.\nAnswer: 0.00000024594875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (75 - 80) + (4 - (0 - 1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3453 divided by -780?\nAnswer: 1151\/260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -407?\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 28, 17, -12, -65?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 478 - 768. Let t be a\/75 + 4 - 28\/(-15). Suppose 2*z - 5 = -4*l + 5, -5*z + 20 = 5*l. Put t, z, -2 in increasing order.\nAnswer: -2, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2414 (base 5) to base 12\nAnswer: 25b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -27 and -8.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -26894\nAnswer: -3\/26894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {c: 4, m: 15}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33687959.\nAnswer: 33687959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 5*z**6 + 431*z**4\/12 + 4*z - 87. Find the third derivative of f(i) wrt i.\nAnswer: 3600*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5293 a factor of 2752280250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 12 + 226*a.\nAnswer: 226*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -16*y - 525. Give w(-32).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 8:35 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*((4*w + 0*w + w)*(-404*w - 268*w**3 + 404*w) - 2*w**4 + 2*w**4 + 2*w**4).\nAnswer: -1338*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -5*j**2\/7 + 1613*j\/7 + 646\/7 = 0.\nAnswer: -2\/5, 323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 8:14 PM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d - 2. Let v(j) = -j - 1. Let q(f) = -f**2 + 21*f - 67. Let p be q(4). Give p*u(g) + 4*v(g).\nAnswer: -5*g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2*w - 3, -4*p + w = -2*p. Suppose p + 15 = -4*x. Let b be x - -4 - -3*1. Solve b*d - 5*d - 4 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/15*(-230)\/138\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5*(0 + sqrt(450) - sqrt(450) - sqrt(450))*5 - (0 + (sqrt(450) - 1*sqrt(450))*4))**2.\nAnswer: 281249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*x - 3 - 22*x - 25*x + 72*x - 4*x**3.\nAnswer: -4*x**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.75 + 0.01. What is n rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02639 * -0.595.\nAnswer: -0.01570205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 - 5 + 10 + u**2 to the form b*u + c*u**2 + h and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -10 - 4. Suppose -5*c + 6 = 3*f - 7, -24 = f - 4*c. Let t = f - p. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -269\/2 + 134. Which is the third biggest value? (a) 0.5 (b) -2 (c) h (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1319056 is divided by 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1599 - -3275. What is the remainder when s is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 56*a**2 + 2*a. Let i be u(8). What is i rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3341767789 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 4*u - 9*u + 3, 0 = -2*u. Let m(s) = 3*s + 2 + 0 - l. Is m(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -37 (b) 1\/4 (c) -7\/11 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 63*b**3 - b**2 + 1. Let q be k(1). Suppose 6*j = 69 + q. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 34760884 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 450*m**3 + 50?\nAnswer: 1350*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0, -2\/33, -1.07?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 3. Let r(s) = 2. Let z(w) = -4*k(w) + 7*r(w). Let n be z(-4). Suppose -3*t + 62 = 2*q, -q + 5*t + n = -0. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29 - s**2 - 29 - 15*s**2 + 14*s**2 + 13*s**2 + 2*s - 3*s**2 - 2*s + (-4*s + 4*s + s)*(-3*s - 2*s + 4*s) + (-9*s**2 + 3*s**2 - 3*s**2)*(4 - 5 + 2).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -9 + (-36)\/12 - -14. Solve 2*o = -b*m + 3*o + 6, 3 = m - 2*o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*m - 8, 5*m - 20 = -3*s - 0*s. Suppose 25 = d + m*d. Suppose v + d = -4*v. What is the third biggest value in 2\/3, 0.5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3*(sqrt(847) + (2*sqrt(847) - sqrt(847)) - sqrt(847)) + -4 + sqrt(847) + (sqrt(847) - sqrt(847)*2 - sqrt(847)) + 4 + 1)**2.\nAnswer: -88*sqrt(7) + 3392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -u**3\/3 + 7*u**2\/2 + 8*u + 4. What is c(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -1. Suppose 5*a + 488 = 2*c + a, 0 = 4*c - f*a - 968. Suppose -5*q = -2*q - c. What is q rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p. Let v be s(-1). Let f = -1 + -1. Is (-23)\/(-1) + f\/v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 632461*i**3*j**6 - 2*i**3*j**3 - 2*i**3*j**2 - 5*i**3*j - 2*i**2*j - 25*i*j wrt j?\nAnswer: 75895320*i**3*j**3 - 12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-14) - (-11 + 10). Let q = 16734 - 16736. What is the biggest value in f, -4, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -37a3d - -16?\nAnswer: -37a27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = m + 15. Let b = m + -2. Suppose 1 = -h - 3*w, 40 = 4*h - 34*w + 24*w. Solve 5*r = -h, 2*d + b = 5*r + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*v + 72*v + 7728 = 0. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3 = -4*g, -2*g - 10 = -4*n. Let z = -6 + n. Which is the biggest value? (a) z (b) 0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + n = -18. Let t(k) = -k**2 - 4*k + 1 + k - 2*k. Let x(f) = 2*f**2 + 10*f - 1. Let o(r) = n*t(r) + 4*x(r). What is o(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 46 + 148. Calculate the remainder when g is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81594.\nAnswer: 2, 3, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**6*q\/q**(3\/10)*q)\/(((q\/((q\/q**(-2\/3))\/q))\/q)\/q*q)**34 assuming q is positive.\nAnswer: q**(941\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 234991562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 540 and 972540.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1206531.7 and -0.4.\nAnswer: -1206532.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000100 + 10?\nAnswer: -10000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**2 - 2*d - 1. Determine g(3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1984, -1983, -1986, -1993, -2004, -2019?\nAnswer: -2038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 32366*u + 1118. What is the units digit of q(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*-6*2\/8. Let x be (-2)\/(-1) + (i - 3). Suppose 8*q**4 - 30*q**3 + 10*q**5 - 30*q**5 - 5*q**x - 53*q**4 = 0. Calculate q.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - 5*p, -4*t + p - 45 + 60 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/((-2)\/669) + (-25 - -28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14422 is divided by 261.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -106, -2, -0.7, 1\/3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3261*x**3 - 2*x + 1893.\nAnswer: 19566*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 632*m - 32. Let l(o) = -1545*o + 79. Let g(s) = 22*b(s) + 9*l(s). Suppose 52 = -2*d - 2*d. What is g(d)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -0.110838774?\nAnswer: 0.0332516322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 1 + 1 + 2*p**2 as u*p**2 + w + x*p and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 236 = 5*r + 75, -2*r + 61 = -3*p. Find the common denominator of 17 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 490 + 518 + 1419 - 659 + 2*k**3 + 3390.\nAnswer: 2*k**3 + 5158","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 56*q - 54*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/3 + 10022*t**2\/3 - 451490*t + 15466902.\nAnswer: -2*(t - 4873)*(t - 69)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 11910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-195)\/26)\/(-3*(-1)\/(-340)). Calculate the common denominator of ((-6)\/(-30))\/((-3388)\/m + 4) and -67\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12650 + -7467. Calculate the remainder when c is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 286 and 0.11?\nAnswer: 31.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 1 - 16 - (2286 + -2320).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -83*z - 35. Is k(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 4*w + 3*s - 4, 0 = 2*w + 2*s. Let v(n) = -n**2 + 8*n - 3. Let k be v(5). Suppose i = -i + k. Solve i*p - 3*h = 3*p, -2*p + w*h = 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-170)\/(-45) - 1.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -33633 (base 7) to base 9\nAnswer: -12650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*r = 16, -4*w - 5*r - 6 = -36. Suppose -w = -4*q - q. Calculate the remainder when 3 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -202 divided by 6\nAnswer: -101\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1256.94 - 1256.9. What is the closest to 0 in 0.4, g, -28?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1894040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*k**4 + 97 - 97 - 16*k wrt k?\nAnswer: -108*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*((sqrt(1573)*-2)**2 - sqrt(13)*2*-3 - (-3*(-1*(sqrt(13) + 0) + sqrt(13)))**2).\nAnswer: 12*sqrt(13) + 12582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402547 is divided by 7030.\nAnswer: 1837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 117 and 10166.\nAnswer: 91494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 + 63*o - 312.\nAnswer: -3*(o - 13)*(o - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -532*o - 1596. Let j be u(-3). Let t(b) be the first derivative of -7 - 1\/3*b**2 - 2\/9*b**3 + j*b. Factor t(i).\nAnswer: -2*i*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3166664012 a multiple of 6248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/85 + 167\/255. Let q = 0 + g. Let w = 3 + -3.3. What is the third biggest value in 0, q, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6467190 = g + 4*g. Let a be (9\/(-12))\/(117\/g). Let q = 8289 + a. Calculate the common denominator of -3\/20 and q.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9727076 and 70100?\nAnswer: 2804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (290\/(-87))\/(2\/(-3)). Solve 4*m = p*m + 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 27 + 11 + -74 - (3 - 10)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2566)\/(-4) - 9\/((-36)\/(-8)). Let c = -639 + k. Let s = -8.5 + 7. Is s less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 110\/30)*18\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z*z*z\/z**(-14)))**13 assuming z is positive.\nAnswer: z**(-195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x + 12422*x**2 - 26*x + 1 - 10*x - 2*x.\nAnswer: 12422*x**2 - 30*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 16 + (10 - 42\/(-14)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -6464*y - 103. Is f(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {s: 4, m: 10}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-85 - 4) + (1 - (-2 - -4)). Is 1036\/(-6)*5\/(s\/27) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1444160?\nAnswer: 2, 5, 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273*m - 273*m - 92 - 4*m**2.\nAnswer: -4*m**2 - 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t\/(t*t**5))\/t*t)\/(t\/t**(4\/15)*t) assuming t is positive.\nAnswer: t**(-86\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-5 + 1 + 8 + -8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/9, 2, -1\/2, 1\/3, -3, 0.01, 2\/439?\nAnswer: 2\/439","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 868910.6l in millilitres?\nAnswer: 868910600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5*x + 1035. Let p = x - 62. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/42 - 51\/(-21) - -5. Solve h - 10 = -5*w, 0*h + h - j = -2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17213 divided by -1\nAnswer: 17213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1360617591 to the nearest integer?\nAnswer: 1108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d**2 + d - 2. Calculate m(4).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162487334 and 355?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/13064 and -109\/13938.\nAnswer: 3958392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11972 and 815859.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 227617624 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6389 + 6394. Let l(q) be the third derivative of 10\/3*q**3 - 11*q**2 + 0 + 0*q + 5\/2*q**4 + 5\/12*q**o. Let l(m) = 0. What is m?\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58815, -58855, -58895, -58935, -58975?\nAnswer: -59015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h + 261 - 63 = 0. Suppose -12 = -h*g + 10. Calculate the remainder when 3 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -2.8. Suppose -18*z + 25*z = 14. Suppose -5*q - 4 = -k, 0 = 2*q - 3*k - z*k + 20. What is the second biggest value in 1, -0.1, q, p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8219231*q**5 - 270485*q**2 - 6*q wrt q.\nAnswer: 493153860*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.29*5.\nAnswer: 71.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 77*(-2 + (-64)\/(-28)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1545 + 2*x + 1545.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -36317.427 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23557.\nAnswer: 23557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 10*g + 11*g = -1, -3*g + 6 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z + 15*z - 3*v + 7 = 0, 5*v - 15 = 5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpkhkkhhphpk. Give prob of picking 2 k.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 g when four letters picked without replacement from {b: 6, p: 7, g: 1, v: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*z + 18*z + 125*z)*(-2*z**2 - 12 + 20 - 2*z + z).\nAnswer: -374*z**3 - 187*z**2 + 1496*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34296 is divided by 999?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g**3 + 0*g**3 + 2*g**3)*(5 + 2*g - 5) - g**4 + 2*g**4 + 0*g**4 - 372 - 5*g**3 + 2*g**3 - g**4 + 249 as d*g**4 + p*g + c*g**3 + i + l*g**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 60522 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*u**3 + 159599*u**2 + 200013*u wrt u.\nAnswer: 12*u + 319198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -7. Let m = -0.036 - 3.964. What is the nearest to -1 in h, m, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -v**4\/4 + 2*v**3\/3 - v**2\/2 - 2*v + 5. Let y be s(2). Let u be ((-2)\/y)\/((-4)\/(-8)). Sort u, 5, 3 in decreasing order.\nAnswer: 5, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 925 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 196, 337, 504, 697, 916?\nAnswer: 1161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 5:26 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-3 - (1 + 3))) + (55 - 47).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32719*k - 16126*k - 15017*k + 3*k**2 to the form h*k + v*k**2 + n and give h.\nAnswer: 1576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 158 - 163. Let z(o) = -64*o - 12. What are the prime factors of z(c)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33907 - 73907. Round b to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 4*g + 124, -3*a - 478*g + 483*g + 125 = 0. Solve -33*n = -a*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - -38. Suppose -16 = 5*m - a. Let b = 0 + m. Solve 0 = 4*v - b*v + j - 15, v + 5*j = -5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -33*v - 5. What is the units digit of d(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*(18\/24)\/(4\/8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + 7178*q - 7175*q - 77, 24*o - q = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-10)*20\/(-8). Suppose 0 = -5*f - 15, 0*i - 2*f - 512 = -v*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -5\/6*z**3 + 1\/42*z**7 - 2\/15*z**6 + 0 + 1\/5*z**5 + 1\/6*z**4 - 18*z + z**2. Factor x(h).\nAnswer: (h - 2)*(h - 1)**3*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -i - 4*v, 4*v + 27 = 2*i + 11. Let w be (-48)\/(-20) + i\/(-5). Factor 2\/3 + 2\/3*q**w + 4\/3*q.\nAnswer: 2*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (10\/(-3))\/(14\/(-105))*1 and 11?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*u - 336681 = -342667 for u.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**6\/1140 - r**4\/228 - 13*r**2. Solve l(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 12*r**2 - 15*r - 10. Let a be ((-30)\/4)\/(-3)*-4. Let k be c(a). Let z = -42 - k. Solve 4*w + 4*h - 12 = 0, -2*w + h + 3*h - z = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5023, 2, -180?\nAnswer: -180","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f - f**2 + f**2 - f**3 - f**2 - 2*f**2 to the form s + t*f + z*f**3 + p*f**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.87 rounded to 0 dps?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2470 is divided by 211.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*b - 42 = -0*b, p + 2*b = 42. Let t be (-142)\/(-12) - (-7)\/p. Let r be 2\/t - 10\/(-60). Put 1\/2, r, 0.7 in ascending order.\nAnswer: r, 1\/2, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 + 68 - 36) + -27 + -1 + -8 + 1.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 93. Let j = -691\/4 + 168. Find the common denominator of (h\/(-5) - -1)\/(-2) and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2974399390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and 0.015.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-120)\/750)\/(16\/(-10)). Let b(g) be the first derivative of 0*g - 7 - n*g**2 + 1\/15*g**3 + 1\/20*g**4 - 1\/25*g**5. Factor b(o).\nAnswer: -o*(o - 1)**2*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/(-7)*49 - (0 - 1997).\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*f + 36. Suppose -f = -5*i + 52. Suppose -3*u = 4*k - 69, 90 + 10 = 5*k + u. Calculate the highest common factor of k and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24295 divided by -565.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -6*w + 37*w**2 + 30*w - 7*w - 11*w - 10*w - 10. List the prime factors of u(-5).\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 m when three letters picked without replacement from mvmkik?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*f**3 - 9*f**3 + 34*f**3 - 49*f - 4*f**3 + 49*f + f**3 - 3*f + 3*f + (2*f**2 - f**2 - 2*f**2)*(-1 + 1 - f) + f**3 - 2*f**3 + 2*f**3.\nAnswer: 41*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -25650137 (base 8) to base 15\nAnswer: -780707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-15) + (-20 - -6 - -11)\/5.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62.9599 - -0.0599. Let y = -400.9 - t. Let b = y + 342.34. What is b rounded to one dp?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9108.57 + 9158. Let r = t + 8.47. Let j = r + -48. Round j to zero decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 21, 15, -9, -57?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 - 1. Let b = -8.4 + 8. Sort g, b, 5\/4 in ascending order.\nAnswer: g, b, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*c - 79*c = -10, 4*c - 10 = -z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 368*w + 145*w + 14928 + 21669 = -596*w for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.21*1.7\nAnswer: 0.357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0*w - 4*w + 22 = 0, 4*l - 4*w - 8 = 0. Suppose -l - 9 = -t. Solve -5*c = 3*z - t, c = -c + 2*z + 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(-4*10\/(-128)). Suppose -111120 = c*d - 8*d. What is d rounded to the nearest one hundred?\nAnswer: -13900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/7 (b) -366.3 (c) 3\/5 (d) -1\/4 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -62 - 351aa?\nAnswer: -35250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*((-1859)\/(-39))\/11?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35896670418*b + 4*b**2 - 35896670418*b.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2403699871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -77 - 1256?\nAnswer: -1355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001 - 101101?\nAnswer: -10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26255888.\nAnswer: 2, 17, 83, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 36134 less than or equal to -351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 4241, 16966, 38173, 67862, 106033?\nAnswer: 152686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -5\/7, -2\/8553?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/((z*z**(2\/3))\/z)*z*z**(-3)\/z)**(-29) assuming z is positive.\nAnswer: z**(145\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 612401 and 72 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 43713190 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2104210221 (base 5) to base 4\nAnswer: 100221333213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 divided by 1356235?\nAnswer: 81\/271247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m + 3. Let o be j(-6). Let d(k) = -k**2 - 10*k - 9. Let w be d(o). What is s in 1 + 0*s + s**2 + 2*s + 0*s + w*s = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -110 - -6?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-89136362)\/21)\/((-2)\/(-12)). Let b = 4567532 + j. Round b to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (20\/6)\/(-2) - -1. Let s = f - 0. Let b = -2.38 + 1.88. What is the third biggest value in s, b, -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 158, -0.4, -5\/6, 1, -0.3 in decreasing order.\nAnswer: 158, 1, -0.3, -0.4, -5\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -14. Suppose w - 5*r = u, -w + r - 5 = 3*w. What is the units digit of (w - -9)*1\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 + 10. Let o = -35 - d. Let p be ((-6)\/o)\/(91\/70). Is p at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217464 is divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4036.484+0.335\nAnswer: -4036.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 15 - 3 = -l, -5*m = 5*l - 45. List the prime factors of 44*(m\/4 + -1).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 201794718 and 26782.\nAnswer: 3826","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 3*b + 12, -3*b = -4*c + 7 + 7. Let j(n) = -4*n + 1. Let w(q) = 1. Let t(k) = c*w(k) + j(k). Give t(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2941 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(23 - (2 - 2)). Calculate the greatest common factor of k and 759.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -1. Let l be 2*3*2\/12. Let q(d) = -3*d - 6. Let w(m) = l*q(m) - 3*y(m). What is the derivative of w(b) wrt b?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, -2\/5, 17, 0, 1\/4, 2, 10382?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-7\/2)*u**(1\/4)*u*u*u*u**(-5\/2)*(u\/(u*u**(-5)\/u))\/u)\/((u*u**(-5)*u**3)\/(u**(-2\/3)\/u)**(-2\/31)) assuming u is positive.\nAnswer: u**(4225\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54455*1.\nAnswer: 54455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267 = -4*h - n, -2*h - 63*n = -66*n - 151. Let b = 25 + 9. What is the highest common divisor of h and b?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7868936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/3861 and -50\/143.\nAnswer: 3861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 1\/3*n**3 + 0 + 1\/12*n**4 + 3\/2*n**2 + 2*n. Let u be m(4). Calculate the highest common divisor of u and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 841245?\nAnswer: 3, 5, 17, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62570074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -3*z**3\/4 + 1359*z**2\/2 + 164847*z\/4 - 83781\/2 = 0?\nAnswer: -58, 1, 963","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 9*z - 10 = -7*z, 2*s - 5*z - 20 = 0. Let f(d) = -d**3 + 9*d**2 + 9*d - 10. What is f(s)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -3. Suppose -n = 8 - j, 2*n + 11343 = 5*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 3:46 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2037, 4086, 6147, 8226, 10329, 12462, 14631?\nAnswer: 16842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2876 and 601144396.\nAnswer: 2876","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2844535, 2844488, 2844409, 2844298?\n\"Answer: -16*i**2 + i + 2844550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.085 + -0.015. Let z = 0.1 + 0.4. What is the nearest to b in 2\/11, z, 0.3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (11 - (-108)\/(-9))\/(1 - 0). Let z be -1*(6\/10 + (-24)\/15). Put z, 4, -5, q in descending order.\nAnswer: 4, z, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 5)*(-2)\/(-1). Let r = 8 + -5. Solve -z*h = -r*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162)\/(sqrt(6) + sqrt(384)).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 485, 497, 507, 509, 497?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*((-18)\/(-2))\/3. Let v = 10 + m. List the prime factors of (3 - v)\/(6\/27).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 6. Suppose 3*d - m - 15 = 0, -5*d + i*m - 3 = -35. Let q(c) = -2*c**3 + c**3 + 0*c**3 - 3 + c**2 + d*c. Determine q(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 22 = -4*o, -2*t - t - 21 = -2*o. What is the nearest to -1 in 1, t, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3034367339?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 5*c**2 - 8*c - 2. Let f be z(7). Find the common denominator of 25\/4 and f\/(-14)*7\/(-14).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.032 * -476\nAnswer: 15.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z - 3*z + 5*z + (5 - 5 + 3)*(3*z + 0*z - 5*z) + 3*z - 4*z - z + (5 - 3 - 3)*(-2*z + z + 2*z) - 3 + 6*z + 13*z - 14*z as a + o*z and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 29 = 5*v, 10*v + 4*k - 47 = 5*v. Suppose 4*b = 3*x - 15 - 9, 3*b = -4*x + v. What is the smallest common multiple of x and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o + 5192. What is m(11)?\nAnswer: 5203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13267680231 - -16265.\nAnswer: 13267696496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 5 (b) 4\/4789 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 5. Let z = j + 5. Suppose -k = -r - z, 3*k - 115 = 5*r + k. What is the closest to 0 in -3, 2\/19, r?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1226*c**2 - 3196*c**2 + 122*c**2.\nAnswer: -4300*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -227 - -352. Let x = r + -124.9881. Round x to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - q + 5. Let t(u) = 2*u**2 - 2*u - 78. What is -t(x) + 3*z(x)?\nAnswer: x**2 - x + 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37722*d**3 - 128*d**2 - 4*d - 12 wrt d.\nAnswer: -226332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1551 and -4.296.\nAnswer: 1546.704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -58 + 8 + 6 + 3?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 3241*y + 884949. What is k(301)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 6*w + 84 = 0. Suppose 162 - w = -6*q. Let j = q + 30. Solve f + 0*f = j for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2 (b) -2\/5 (c) 4 (d) 2\/121\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5*i = 365, 3*z + 11*i - 195 = 6*i. Is z even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/10 + (-52)\/20. Let v be -1 + l\/(9\/(-69)). Let z(w) = -w**3 - 8*w**2 - 23*w - 57. Let q be z(-7). What is the highest common factor of v and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 - 75*c - 453. Let g be y(-9). Solve 0 = -68*s + 58*s + g for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-6 - -1) - 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*n - 10*n + 6*n - 10*n as f*n + h and give f.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**2\/8 + 5853*a\/2 + 23409\/8 = 0. Calculate a.\nAnswer: -7803, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*h**3*p**2 - 122*h**3*s**2 - 22*h**2*p**2*s + 2*h**2*s**2 - 2*h*p*s**2 + 2*p**2*s wrt h.\nAnswer: -18*p**2 - 732*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 59.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -1\/2*b**2 + 6*b - 5. Let k be a(6). Which is smaller: 2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 3*m - 100. Is 24 a factor of q(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g + 23. What is the remainder when j(0) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 95 = b, 0 = 23*a - 130*b + 131*b + 50 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1227468 and 42666?\nAnswer: 15957084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p - 139*p**3 - 4*p + 141*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.06 (b) 0.2 (c) 5\/4 (d) -0.034 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/4944*1\/(-5)*4)\/((-1)\/(-2))?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000422878077 to seven decimal places.\nAnswer: 0.0000423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*g + 61*g = -3*w + 13, 3*w - 9 = -3*g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 12 - (14 + -6 + 3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -128*r**3 - 21475*r + 21475*r - 4541*r**4 + 449*r**2 + 128*r**3 wrt r?\nAnswer: -108984*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101110100110111011110 (base 2) to base 7.\nAnswer: 15660442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 299 or 597\/2?\nAnswer: 597\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/5)\/((-63)\/(-12))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.1 - 1.07. Is j less than or equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -4, -0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42589.2 or -4\/3?\nAnswer: -42589.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3cb + -147?\nAnswer: -523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 507 a factor of 10316896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 5:43 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + sqrt(13) + 1)**2*3 + -2.\nAnswer: 12*sqrt(13) + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10661145 * -0.061.\nAnswer: 650329.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x - 6. Let w be l(5). Let z = w + 13. Suppose 5*f = -4*u - 16 + 4, -2*u = f. Solve -i = -z*i + 5, 2*i - 12 = -u*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -37\/132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + z - 3 = -2*u, 0 = -2*z - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 7*h**2 - h - 7. Suppose -4*c = c - 15. Suppose 36 = 7*o - c*o. Calculate the remainder when k(-6) is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xiix when four letters picked without replacement from iiiixiiixi.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m\/(m\/(m**10*m)))\/m)\/m)\/m*m*m)\/m*m**13)\/(((m\/(m*(m**3\/m)\/m)*m)\/m)\/(m\/(m*m\/m**0))) assuming m is positive.\nAnswer: m**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3549.753 hours to microseconds.\nAnswer: 12779110800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192 - 197 + 22908*u**2 - 196 + 585.\nAnswer: 22908*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, p: 2, r: 1, b: 5}. What is prob of sequence br?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -194057, -388856, -583655, -778454, -973253, -1168052?\n\"Answer: -194799*u + 742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -16. Suppose -y*u + 9 = -123. Suppose -g + 6*g - 13 = -f, -u = -2*f - g. What are the prime factors of f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 7:38 PM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64 + 85. Let q = 25 - o. Suppose 3*v - 536 = -j, -q*j = 4*v - 25 - 703. What are the prime factors of v?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-1 + sqrt(468))*5 + (0 + sqrt(1053))*2)**2.\nAnswer: -768*sqrt(13) + 30016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -32, -61, -120, -221, -376, -597?\n\"Answer: -2*o**3 - 3*o**2 - 6*o - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 9) + (1 - 0) - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.697 - -0.4?\nAnswer: 40.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -22624*b**2. Let h(o) = -1337*o. Give s(h(k)).\nAnswer: -40441961056*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*y - 5*c = 140*y, 3*c + 42 = -8*y + 12 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -c - 27 - 20, 0 = -c + 4*d - 67. Let x = -47 - c. Let b be (4 - -1)*(4 + (x - 7)). Put b, -6, -4, 0 in ascending order.\nAnswer: -6, -4, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10483 = 2*q + 3*q - 13*s, s - 4 = 0. Is q a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*q - q - 2*q)*(-7*q + 16*q + 7*q**2 - 5*q**2) - 3*q + 3*q + 2*q**3 as r*q**2 + n*q + l*q**3 + c and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qd when two letters picked without replacement from ddqqqqd.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2399*i - 38. Is 59 a factor of c(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2159 + 2159. Solve c = 3*k - 121 + 106 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -89 - -88.99944. Round m to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 159\/5 (b) 5 (c) -3\/4 (d) -558\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 9*r**2 + 13*r - 296. What is the remainder when t(7) is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q*q**6))**(1\/7) assuming q is positive.\nAnswer: 1\/q","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73715697?\nAnswer: 3, 11, 248201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351602697.\nAnswer: 3, 8419, 13921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 times -2.9?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*t + 18606 = -807*t - 323*t for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -783 + 785 - 182*h**4 + 4*h**2 + 6*h + 160*h**4 + 2*h**4 + 3*h**4 - 4*h**4 + (-2*h - 2*h + 5*h)*(-h**3 + 4*h**3 - h**3) + 3*h**2 + h**4 - 3*h**2.\nAnswer: -18*h**4 + 4*h**2 + 6*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -41*j**2 + 39*j**2 + 18*j**2. Let i(f) be the third derivative of -f**5\/60 + 3*f**2. Calculate v(i(w)).\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + 5 + (-1779)\/(-63). Let n = u - 92\/3. Let g be 3\/(-12) - (-7)\/12. Which is the biggest value? (a) -2\/9 (b) n (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-85 - -90) + -7 + (-1 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*b**3 + 3*b**2 - 220*b + 217*b - 3*b**2 as x + h*b**2 + n*b + a*b**3 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000420348739 rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2211663?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9945605 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -m + 2. Put 4, 0, m in ascending order.\nAnswer: m, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -2*m - 2, -4*m + 0*m - y = -16. Suppose 9*n - m = 6. Calculate the greatest common factor of 4 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43971902 divided by 1691227.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -6567*o + 17 - 4236*o - 12 + 3329*o - 3 as j + l*o and give l.\nAnswer: -7474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 4)*(-10*s + 11*s + 37*s) as z + a*s and give a.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - 7. Let i = -9 - o. Calculate the remainder when 38 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 445 = -0*h. Let a(l) = 18*l + 16*l + 28*l - 54*l + 89. Calculate the remainder when h is divided by a(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 23*q**2 + 6*q - 6. Calculate j(-23).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -340303 (base 5) to base 7\nAnswer: -46564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1013 + 1.8987. What is the biggest value in -6, -0.3, -2\/9, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -1b90b429?\nAnswer: -1b90b432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -464998.7873 to the nearest ten thousand.\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15869815967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/(-615)*-2*((-6)\/4)\/3?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -288.001, -2, -1\/3, 0.6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g - 3*g - 44*g + 0*g + 44*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11 + (-1 - -1 - 1). Let y be ((-4)\/(-24))\/(1\/18). Solve -2*x - 3*z = -z - w, 0 = -y*x - 2*z + 14 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 31, -132, -403, -782?\n\"Answer: -54*g**2 - g + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -96604 or -96638?\nAnswer: -96604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 15*t**3 - t**2 + 1. Let l be r(1). Let h = l + -11. Solve 3*c - h*c + 5 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1278829 rounded to 5 dps?\nAnswer: -0.12788","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -21*k + 135. Let d be (-4)\/14 - 114\/(-7). What is the greatest common divisor of d and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(78)*1)\/sqrt(6) + sqrt(130)\/(3*sqrt(10)))**2 - ((1 + -1 + sqrt(325) - sqrt(325)) + 4 + (sqrt(13) - (sqrt(325)*1)**2)).\nAnswer: -sqrt(13) + 1849\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**15\/(k\/k**(1\/6)))**(-48) assuming k is positive.\nAnswer: k**(-680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60900 = 18*w - 5*w - w. What is the greatest common divisor of w and 870?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4640 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8090 divided by -2\nAnswer: 4045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.05966, 3, 1, 3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -7*z**2. Suppose -5*v + 2*m = -0*m - 165, 3*v = 5*m + 118. Let n(p) = -16*p - 10*p + v*p - 8*p. Determine s(n(u)).\nAnswer: -63*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 16*r + 9. Put 3, r, 0.1 in ascending order.\nAnswer: 0.1, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -25*g - 1 + 1 + 1. Let c be -2*(-2)\/(-8)*-12 - (4 + 1). Calculate d(c).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j = -26*j + 80. Differentiate -45*q**4 + j - 74 - 111 wrt q.\nAnswer: -180*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 311396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 4844\nAnswer: 5\/4844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 80\/15 - (-4)\/6. Solve 4*u - h*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76082.\nAnswer: 2, 109, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-f + 0 + 0)*(27 - 3 + 4)*(-3 - 3 + 7 - 2 - 1 + 4 - 1 + 0 + 0 + 2 + 2 - 3 + (-4 + 4 - 1)*(-2 + 2 - 2) + 3 - 4 - 1) + f - 8*f + 2*f)*(-2*f - 2 + 2).\nAnswer: 122*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + v**2 - 2*v - 1. Let y(t) = -7*t**2 - 8*t - 1. Let k(l) = 11*l**2 + 12*l + 2. Let b(u) = 5*k(u) + 8*y(u). Let g be b(-4). What is p(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rruu when four letters picked without replacement from {r: 5, u: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -38*j. Let z = -8559 - -8561. Give r(z).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h**3 - h - 1. Let s be z(-1). Let x(i) = -2*i**2 - 10*i + 10*i**2 - 7 + 2*i. Is x(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -110 and -108 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b82c6c (base 13) in base 2?\nAnswer: -100010111000111010110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -242*k*n**2 + 2*k*n - 699974213*k - 2*n**2 + 107*n wrt n.\nAnswer: -484*k*n + 2*k - 4*n + 107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0519722 rounded to three decimal places?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1026 + -192. What are the prime factors of g?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 268*r - 7*r.\nAnswer: -275*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244142 is divided by 63?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 2.8 and -15 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 57*a**2 - a + 12. Let g = 430 - 426. What are the prime factors of n(g)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 2*w. Suppose -3 = 2*c + 3*f - 6*f, w = 2*c - f + 1. Solve c*h - 2*h + 8 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 28 = n, 2 = -a - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3345744867 and 141.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) -383 (c) -40\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.71 + -2.841. Let n = 0.04382 + 4.82518. Let d = v - n. Put d, 4, -2 in ascending order.\nAnswer: d, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -2. Suppose 125 = 5*s - h*z, 4*z + 47 = s - z. Let m(r) = 3*r - 21. What is the lowest common multiple of s and m(11)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -240, -487, -720, -933, -1120, -1275, -1392, -1465?\n\"Answer: o**3 + o**2 - 257*o + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 2 = 16. Solve 0 = -x*r - r - 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71903 + -28145. What are the prime factors of w?\nAnswer: 2, 3, 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -15635\/738 and -21 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 362*y**2 + 868*y**2 - 308*y**2 to r*y + w*y**2 + g and give w.\nAnswer: 922","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 - 5*o**3 + 2*o**3)*(4 - 7 - 3) - o**3 - o**3 + o**3 + (-3*o**2 + 0*o**2 + o**2)*(-2*o + 0*o + o) + 3 - 3 + 2*o**3 + 1 - 2*o**3 - 1.\nAnswer: 13*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-13)\/1 - -1)*118\/(-177) and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 83 - 19)*(1 - w - 1).\nAnswer: -27*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1000 = 47*n - 45*n. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -4*f + 19, 3*f + 17 - 47 = -8935*p + 8950*p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -r - 66. Suppose -5*u + 2 = -r. Suppose 2*v + u - 39 = -5*t, -2*v + 3*t + 64 = 0. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5696640 by -19.\nAnswer: 5696640\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 4*k)*((-1 - 3 + 2)*(2*k + 0*k + 0*k) + 1 - 4*k - 2 + 2*k)*(38 - 38 + 26*k) as g*k + m*k**2 + f*k**3 + s and give f.\nAnswer: -624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + sqrt(175))**2.\nAnswer: 10*sqrt(7) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -21*z**2 + 15*z - 6. Let n be o(3). Let a = n - -154. Suppose -2*c + 9 = 3. Solve a*g = 3*m + 19, 0*m + 3 = -c*m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*w - 5*g - 76 = 0, -2*w - g + 24 = 0. Let q be (21\/w)\/((-3)\/(-8)). Suppose q*f = f. Solve 2*l - 2 = -f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 598 and 7314?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 8*l**2 - 14*l - 2. Let w be a(-6). Let z(j) = -w*j + 1 + 0*j + 9*j + j**2. Calculate z(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 130434239?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4 = -9*o + 4*o, 0 = -4*o - 5*i + 5. Solve -2*v + 4*m + 6 = o, -v + 3 = -4*m - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 1891590*x**2 + 7. Let s(w) = 4*w. Give a(s(m)).\nAnswer: 30265440*m**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5312 * 0.2.\nAnswer: -1062.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -11. What are the prime factors of (-9)\/(-36) - (-78)\/m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -105*a**2 - 19764762*a - 19764657 = 0.\nAnswer: -6588219\/35, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-4*((sqrt(1700)*3)**2 + sqrt(1700)) + -3.\nAnswer: 120*sqrt(17) + 183597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/763, 0.5, -3\/2?\nAnswer: 2\/763","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/(-14)*(-4)\/10\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28058, -28329, -28780, -29411, -30222?\nAnswer: -31213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -200 + 809. List the prime factors of n.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ici when three letters picked without replacement from {c: 2, i: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 9:30 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -172.\nAnswer: -11\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 15) to base 6\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 + (-1485)\/77)\/((-96)\/420).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-134 - -135) + 0 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1094 - -1080.49. What is r rounded to zero dps?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2. Let u(s) = 2*s**2 - 2. Let x(j) = 0*j + 3 + 4*j - 2*j**2 - 4*j. Let l(v) = 3*u(v) + 2*x(v). Calculate l(c(k)).\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 185 - 5?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (28 - 1)*(-13 + (-640)\/(-48)). Solve -g*w - 6 = 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3014.822 days in microseconds?\nAnswer: 260480620800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 4*a**2 - 8*a + 3. What is l(-7)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z\/(z**(-14)\/z)*z)*z\/z**(13\/2) assuming z is positive.\nAnswer: z**(-43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 4*r - 19. Determine u(8).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 3:02 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2776*c**2 - 152336*c**3 + 2776*c**2.\nAnswer: -152336*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2\/4 + 2559719*m\/4 + 8959041\/2 = 0. What is m?\nAnswer: -7, 2559726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0*a + 9 = 0. Differentiate -6*y**3 + 2*y**3 - 2 - a with respect to y.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(75\/(-18)*-3). Suppose -6 = 4*d + 2. What is the third biggest value in x, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 > 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 13434*o + 13437*o + 5, 4*o = 5*w - 17 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 3*z**2 - 8*z + 9. Let c be n(4). Let a(u) = u**3 + 6*u**2 - 7*u + 6. Let d be a(c). Is 22\/3 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/7897 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**5 + 5577*k**4 + 27831*k**3 + 38943*k**2 + 16686*k = 0.\nAnswer: -1854, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10162, -18032, -25918, -33826, -41762?\n\"Answer: -d**3 - 2*d**2 - 7857*d - 2302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-2 - 0)) + (25 - 24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhbhbozhxzzbcxc. Give prob of sequence cz.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g - 11. Let f be i(5). Let v = 1 - f. Suppose -v*n + l = -8, 5*n + 2*l = 3*n + 14. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/196 and 5\/12*6162\/(-8190).\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26.16 + -24.36. Let r = 838\/11 - 76. Which is the nearest to 0? (a) r (b) -1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 225*u - 1465. Let m be r(7). Let q = -69 - -234. Calculate the highest common divisor of q and m.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9\/10 of a century?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2006489, 2006567, 2006645, 2006723?\nAnswer: 2006801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 10*x. Let f be 16\/24 - (1330\/(-3) + (-2 - -4)). Let u(h) = -741*h. What is f*v(y) + 6*u(y)?\nAnswer: -26*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/10)\/(4\/(-10))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41857.1 - 41857. Let q = 4 - -1. What is the third biggest value in 0.06, -1, q, r?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*j - 229 = -7*j + 132*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*4.9.\nAnswer: -14.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 5*y, -5*f + 7*y + 45 = 3*y. Let x(g) = 5*g + 17. Is x(f) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f**3*y - 791*f**3 + 6*f**2*y - 95*f*y - 7*y + 3 wrt f.\nAnswer: 24*f*y - 4746*f + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332*q - 324*q = 104 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455088 is divided by 1220?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 11*g - 8. Let x(b) = 10*b - 8. Let q(a) = -2*l(a) + 3*x(a). What is the least common multiple of q(4) and 22?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-112)\/(-35) - (-5 + 1 + 7)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**2 + 20001*y - 220374 = 0.\nAnswer: -6678, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 w, and 1 s when three letters picked without replacement from {v: 1, k: 2, w: 1, s: 2, z: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2859251989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by -16835.\nAnswer: 22\/16835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + 12*p + 30 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*k - 4 = -20, 4*k - 4 = -3*d. Let n(p) = p**3 + 8*p**2 + 8*p + 4. Let h be n(-7). Sort 1, d, h in descending order.\nAnswer: 1, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 + -50 + 26 + 4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-9))\/((-4)\/(-18)). Let i(g) = -94 - g**s - 3*g - g + 84 + 5*g + 5*g**2. Let r be i(4). Solve 4*q - r = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.2, 0.425, -1\/8, -0.5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/7))**13)**(-13\/2) assuming l is positive.\nAnswer: l**(169\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - -38. Suppose 0 = -4*o + 5*i + 39, -x*i - i + 21 = 5*o. What is the common denominator of 61\/4 and o\/2 + (-7 - 189\/(-70))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - 7*t. What is the common denominator of -13\/4 and 4 + t + 648\/(-80)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1757*z + 608 = -1749*z. Solve -82*i = z + 252 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 363 is divided by 92?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -160*g**2 - 55*g. Let t(n) = -6*n**2 - 2*n. Let a(b) = 2*h(b) - 55*t(b). Let v(k) = -16*k. What is a(v(c))?\nAnswer: 2560*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 1:31 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.86729355 - -2.3872924. Let k = 0.52 - j. Round k to seven dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h - 527 + 487 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 5*j + 4. Let v be d(4). Let n(o) be the third derivative of 0*o**3 - 5*o**2 + 0*o + v - 1\/8*o**4. Let w(c) = c. Determine w(n(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -4496aa1?\nAnswer: 4496a9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -101221 (base 3) in base 16?\nAnswer: -127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 22 = -97. Let g = 72 - s. Let f = g - 23. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3194 - 3194.4. Is -263 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 4*a**2 + 6*a + 6. Let g be r(-5). Let o be (-3)\/((-1)\/2 + 2). Let z = g + o. Sort -3, 2, z in decreasing order.\nAnswer: 2, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 1:17 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (127*y + 116*y**4 - 127*y)*(-6 - 60 + 2).\nAnswer: -7424*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {c: 5, q: 1, v: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*t**4 + 0*t**4 - 2*t**4)*(-4*t - 2*t + 4*t) + (0 - 2 + 1)*(-4*t**5 + 2*t**5 + t**5))*(-1 - 6 + 2).\nAnswer: 15*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 5*m + 3*m)*(156*m**3 - 25*m + 14*m + 11*m + 2068*m**3 - 64*m**3).\nAnswer: -4320*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 508 = -11*h + 459, -t + 5*h + 19 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/53 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*c = 26*c + 11 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 12, -1500, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84644100 and 8464410.\nAnswer: 84644100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.179 + 2.079. What is the fourth biggest value in -2\/11, -3, n, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 7 and -4\/129 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 + 8*c**2 - 8265*c**3 - 13710*c**3 - 3*c**2.\nAnswer: -21975*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15216675 greater than 15216675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21472 is divided by 135?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 852123233 and 1898?\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2824 is divided by 240.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372 is divided by 79.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 151, 155, 161, 169, 179?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*o = -7263, -12 = -41*o + 37*o. What are the prime factors of v?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1083 + 26*v**2 + 1083 to z + p*v + l*v**2 and give l.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 1 = -f - 3*n, -2*f + 67 = -3*n. Let w = f + -26. Solve w = -2*c - 4, 5*l + 3*c + 7 = 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n + 22. Let k be m(-9). Suppose i - 556 = -2*i - l, l = -k*i + 743. What is the greatest common divisor of i and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2274*q**2 + 2297*q**2 + 0*q + 4*q - 4*q.\nAnswer: 23*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**5\/3 + 108*k**4 + 320*k**3 + 956*k**2\/3 + 106*k.\nAnswer: 2*k*(k + 1)**3*(k + 159)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 528 divided by -11\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/10 and 49\/1006?\nAnswer: 5030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -9*i - 20. Let w be x(-7). Suppose -5*v + w = 4*h, -5*v = -5*h + 85 - 20. What is the least common multiple of h and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11110 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = -342*h + 356*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-17)\/r**(-3\/2) assuming r is positive.\nAnswer: r**(-31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5439*z - 7005*z = -298656 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 7*i**2\/2 + i + 9. Let y = -13 + 18. Let n(t) = -t. Give y*n(f) + c(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -198735, -795016, -1788823, -3180156, -4969015, -7155400, -9739311?\nAnswer: -12720748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**2 + 6*c**2 + 0*c**2 + (-c - c**2 + c)*(1 - 3 - 1).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19 - 12*s - 19 + (3*s - 2*s + 0*s)*(3 - 3 + 2) - 5 + 5 + s)*(-5*s + 2*s + 5*s) to the form f + i*s**2 + m*s and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(-1))**(-13))**(-24)*(d\/d**2)\/(d**(-5)\/d)*d**(-1\/4)*d*d*d**(5\/2)*d assuming d is positive.\nAnswer: d**(3785\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -993*a - 384. What is the units digit of u(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64\/5*v**2 + 16\/5*v - 36\/5*v**3 + 0.\nAnswer: -4*v*(v - 2)*(9*v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(((-6)\/(-9))\/2) - 0\/(-1). Solve -d*l = -7*l + 24 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -352*f - 351*f + 238*f**4 + 31*f**4 + 705*f + f**2 to w*f**2 + h*f + y + k*f**3 + u*f**4 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25659 or 76979\/3?\nAnswer: 25659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -72a2c - -3?\nAnswer: -72a29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 4 + 1, -5*n + 5738 = 2*x. Suppose -3*z + n = 407. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 90303 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.22 in 4995, -29, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 12 = -0. Let g be 4*((-15)\/6 - t). Let u be g\/(-2) + 1\/1. Solve -4*o + u*d + 5*d = 0, -3*o = -5*d - 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**3 - 328*c**2 - 10*c + 795. Give t(164).\nAnswer: -845","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1176 - 51*o**3 + 25*o**3 + 588 + 588 + 27*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 11 = 2*z + 4*n, z = -4*n + 21. Let h(o) = -3*o**3 - 2*o**2 + 1. Let d be h(-1). Let q(i) = 7*i - i + 61*i**d - 6 - 62*i**2. Calculate q(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/7)\/((-58)\/(-406)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 7*b - 4*b = 12, -3*i + b - 4 = 0. What is the second derivative of -6*n**4 - n + 6*n**4 - n**4 + i*n wrt n?\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -1 - 1) + 8. Suppose -6*a = -z*a. Suppose a = -5*t + 3*y + 110, 5*y + 11 + 39 = 3*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -153.9171 + -245\nAnswer: -398.9171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 8:39 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 + -7 - 5) + (2 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 129.676 - 141.5921. Let j = l - -11.9. Let s = 0.016 + j. Round s to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 148 (base 11) to base 15.\nAnswer: b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(3\/5)*b*(b\/(b**15*b))\/b assuming b is positive.\nAnswer: b**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/3 - (-114312)\/(-99). What are the prime factors of (-3128)\/(-46)*(l\/12)\/(-5)?\nAnswer: 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9971, -9963, -9955?\n\"Answer: 8*d - 9979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 640 = 4*n. Suppose -5*m + n + 175 = 0. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*l - 26 + 18*l - 2*l**2 + 18*l to x*l**2 + k*l + v and give v.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4008 = -l. Suppose 3*s = -5*o + 15050, -2394 = 2*o + 5*s - 8395. Let w = o - l. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 390819387?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 15. Suppose v - 5*v + 2*p = -860, a*p = 3*v - 652. Suppose -t + v = 5*y, 0*t - t = 2*y - 85. List the prime factors of y.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -3*d + 34, 3*a - 4*d + 29 = -0. Let y(u) = -2*u + 40. Let q(w) = w - 20. Determine a*q(j) - 3*y(j).\nAnswer: -j + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 955911296?\nAnswer: 2, 113, 66089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21302 - -2221220?\nAnswer: 2303122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*((-116)\/28 + 4). Let v = 0.33 - 0.03. Let h = v + -0.6. What is the second smallest value in h, 1\/5, r, 18?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d - 23*d - 6*d to h + u*d and give u.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 5856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d + 5. Let z be t(4). Let i be 2\/z*(-42)\/4. Suppose -w - i = -2*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14719870*m**2 - 6353123*m wrt m.\nAnswer: 29439740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 2, -76, -176, -292, -418, -548, -676?\nAnswer: -796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94 + -68533328.\nAnswer: -68533234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 28\/2*(-7)\/(294\/(-111))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 - (0\/3 - -2). Let n be 20\/(-12) + d\/(-9). Let i = -5 - -3. Is i <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 34. Suppose 2*f = q*p - 29 + 6, -4*f + 64 = 4*p. Calculate the smallest common multiple of 9 and p.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 11*x + 9. Let a be u(-13). Let b = a + 19. Is 58\/6*(11 - b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 69396044 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -859 (base 13) to base 14\nAnswer: -73c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -2, -3\/7, -11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 8:57 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3400) + (sqrt(3400) - -3*sqrt(3400)) + sqrt(3400) - sqrt(34)) + sqrt(34))*4)\/((1*sqrt(14)*-4 + sqrt(14))\/sqrt(7)).\nAnswer: -80*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9480 divided by 10\nAnswer: 948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 4.6, 15, 5?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*u + 103, -297*u + 301*u = 2*x - 70. Suppose -2*g - 2*m + 188 = -6, -206 = -2*g + 4*m. What is the highest common factor of x and g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 636 and 24.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s - 4*s + s**3 + (29*s - 7 + 7)*(-s**2 + 3*s**2 + 0*s**2) to the form w + u*s + z*s**3 + a*s**2 and give z.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -211 (base 6) in base 13?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 56268a (base 11) in base 9?\nAnswer: 1615787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 7 = 5*o, j = -j - 2*o + 10. Suppose 2 + 8 = j*h. Suppose -p = s, h*p - 12 + 2 = -3*s. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16560, 17110, 17660, 18210, 18760?\n\"Answer: 550*u + 16010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95294 is divided by 43.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 544 and 1864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -210434 - -328424. What is s rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-24)*28)\/(6\/36)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -23*g - 12. Let v(c) = -91*c - 48. Let b(t) = -9*u(t) + 2*v(t). Is 13 a factor of b(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**3 - 3*g**2 + 5*g**2 - 11*g - 2*g**2.\nAnswer: -g**3 - 11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23851.89 seconds to hours.\nAnswer: 6.625525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2052150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.79278503 rounded to 3 decimal places?\nAnswer: -0.793","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1512 (base 11) in base 8?\nAnswer: 3635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-2))\/(3\/36). List the prime factors of ((-4)\/x)\/((-3)\/(-90)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 730848934 a multiple of 6880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.61 - -0.31. What is the biggest value in l, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4629966517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by 502*((-82)\/4 + 21).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000037208 to 7 dps.\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 10 - 90. Let m be 2\/(-2)*3 - 18. Let k = m - -79. What is the remainder when k is divided by t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 1, -2, 1328.\nAnswer: -2, 1, 21, 1328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**2*l**3 - 1123*j**2*l**2 + 2*j**2*l + j**2 - 3*l**2 - 177*l + 2 wrt l?\nAnswer: 6*j**2*l - 2246*j**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 30*t. Let y(h) = 573*h - 1158*h + 583*h. Calculate y(k(n)).\nAnswer: -60*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*i - 23 = 0, 4*i - i = -v + 7. Let a = v + 21. Suppose 5*s - a = 4*s. Is s a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a**2 + a - 3. Let d = 114 - 118. Let r(j) = j**2. Determine d*r(y) - h(y).\nAnswer: -y**2 - y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 11*j - 14*j. Let t = 41 - j. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 146*v**2 - 104*v**3 + 1493*v**3 + 6482 + 89*v**2 - 6480 wrt v.\nAnswer: 8334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 16) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13163470 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3 + 1)\/(-2))\/5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (91 - 76 + 2*i - 47)*(-3*i + 0*i + 5*i).\nAnswer: 4*i**2 - 64*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 439.7 + 3417.3. Is -0.1 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38059544 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*o - 8*o + y - 550, -3*o + y + 840 = 0. Calculate the greatest common divisor of o and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*p + 21 + 9*p + 11*p + 4*p**2.\nAnswer: 4*p**2 - p + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102*(2 - 20\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 2\/37, -3, -0.4?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = 23*q - 57*q. Let b = 6 + -5. Let l be 4\/8*(-30)\/3. Put b, l, q in descending order.\nAnswer: q, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -7.54\nAnswer: 15.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6 = 18. Suppose 2*u - 58 = w. Calculate the greatest common divisor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -3*r - 3*a - 244, 2*r = -5*a + 79. Let i = r + -33. Is i a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236656 is divided by 1367?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/40 + 136\/10. Suppose -3*n = -1 - x. Suppose -n*v + 7*v - 2770 = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -l**3\/3 - l**2\/2 + 49. Let x = 2 + -3. Let g(a) = -5*a**2 - 5*a - 2. Give x*g(k) + 6*o(k).\nAnswer: -k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.29 and 9?\nAnswer: -2.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8223613?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2540*c*r**3 - c - 3*r**3 + 2405 with respect to r.\nAnswer: -7620*c*r**2 - 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -29.19 from 419.47.\nAnswer: 448.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -117420 times -32\nAnswer: 3757440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 1 = 2*r, 0 = -2*g + 3*r + r - 18 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 2\/3*v**3 + 3 + 0*v + 0*v**2. Let k(r) = -3*r. Determine n(k(x)).\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.97 + 7. Let o = 0.03 - g. Is o >= -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**3*v**(2\/25) assuming v is positive.\nAnswer: v**(77\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6033.5l in millilitres?\nAnswer: 6033500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -16.81?\nAnswer: 5.043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - g + 1599 = 0, -5*r + g + 817 + 1848 = 0. Is r a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217640 is divided by 21763.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b. Let j(d) be the second derivative of -d**3\/6 + 22*d. Calculate j(s(z)).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 99 and 90.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.4 and -142.\nAnswer: -139.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) -1\/11 (c) 0.084 (d) -9 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4\/3 - 298*w**3\/3 - 296*w**2\/3.\nAnswer: -2*w**2*(w + 1)*(w + 148)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 230\/51 (c) 0.8 (d) -0.2 (e) -1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 7 - 4*-2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 3*y**2 + y - 2. Suppose 5*u + 20 = 2*v, -2*u - 4 - 4 = 2*v. Suppose -2*w + 1 + 7 = v. Suppose w*c - 6 = 2*c. Calculate d(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/14 + (-225)\/88. Let b = -24\/11 - j. Put b, -1.2, -0.1, 1\/4 in decreasing order.\nAnswer: 1\/4, -0.1, b, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7636247, 7636245, 7636243?\nAnswer: 7636241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(3 - 0 - 2). Suppose -4*a + 68 = -4*z - 0*z, 2*a - g*z - 31 = 0. Let o = -18 + a. Solve -3*r - o*f + 14 = 0, 0 = 3*f + 2*f - 20 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, -249, -1037, -2579, -5127, -8933, -14249?\nAnswer: -21327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 + 130*d + 802. Let j be p(-58). Put -5, -1, -4, 3, j in increasing order.\nAnswer: j, -5, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4 - 18*d**3 - 32*d**2.\nAnswer: -d**2*(d + 2)*(d + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r**3 - 3*r**2\/2 - 37*r. What is i(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2186 is divided by 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-21)*1*3\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 131, 124, 131, 158, 211, 296, 419?\n\"Answer: g**3 + g**2 - 17*g + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 17\/68*(-2)\/1\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -408 - -406. Let k(d) = 3*d**3 + d**2. Let n(p) = 83*p**3 + 11*p**2 - 5*p - 3. Let o(t) = a*n(t) + 22*k(t). Find the second derivative of o(h) wrt h.\nAnswer: -600*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 48\/5 of a century?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1727*b**2 + 9626*b - 9626*b as j + v*b + h*b**2 and give h.\nAnswer: 1727","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 9*u - 4*u. Let j(n) = -n**3 - 3*n**2 - 3*n - 3. Calculate j(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d**3 + 71*d**2 + 64*d - 2549. Give x(23).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2021729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*y + 131*y - 48 = 0 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.241198 grams?\nAnswer: 241.198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 33*8\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 1 = 4. Let w be (o\/(6\/(-20)))\/1. Let j be (16\/(-24))\/((-3)\/(81\/6)). Solve -8*v - w = -j*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94 + 102 - (1 - -11) - (3 - -4)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**5\/15 - x**4\/6 - 2*x**2. Let t(j) = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 2*t - 3 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 609496?\nAnswer: 2, 47, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 2*c + 15. Let y(r) = -r**2 + 3*r + 9. Let w be y(4). Let z be j(w). Put z, 2, 3 in descending order.\nAnswer: 3, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 14 - 2 = 0. Let d be (3\/a)\/((-3)\/(-12)). Which is smaller: d or 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 6*-2*(3 + sqrt(76))**2 - (sqrt(304) + 1 + sqrt(304) - 5*sqrt(76)\/sqrt(4))**2*1.\nAnswer: -1190 - 150*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + 49 + (23 - 30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 45*y - 724, 2*y - 54 + 38 = 4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*i**2 - 106*i**3 + 360*i + 207*i**3 - 8400 + 66*i**2 - 98*i**3 + 11*i**2 = 0.\nAnswer: -20, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133912 is divided by 11139?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*c**2 - 2*c**3 + 320*c**4 + 207 + 2*c**3 - c - 324*c**4 - 30*c**2 in the form t*c + f + a*c**2 + v*c**4 + o*c**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3703045?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15757 - -2512518?\nAnswer: 2512518.15757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.691 times 625?\nAnswer: -431.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i - 4. Let y be r(-4). Suppose 0 = -a - 2 - 1. Sort -1, a, y in increasing order.\nAnswer: a, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -3 (c) 2 (d) 0.5 (e) 2.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 9*m = -8*m + 8, -z = 3*m - 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 t when three letters picked without replacement from aaaataaata?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2901 - 0.099.\nAnswer: -2901.099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -32\/5, -5, 0.05?\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z - 8844 + 4463 = -4425 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 at least as big as 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 185*l - 140 + 1805 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 7, -2, 2 in decreasing order.\nAnswer: 7, 2, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 7*d**3 + 4*d**2 + 3*d. Let f(b) = -57*b**3 - 33*b**2 - 24*b. Determine -4*f(l) - 33*m(l).\nAnswer: -3*l**3 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 0 - 46*q - 3\/10*q**5 + 1\/3*q**4 + 0*q**2 + 1\/3*q**3. Find n, given that b(n) = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zd when two letters picked without replacement from {p: 1, d: 2, f: 2, j: 1, z: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 20*d = 24*d + 630, -k = 3*d - 320. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*i = -96 - 51 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 8*j + j**2 - 4*j**2 - 3 - 4 + 2*j**2. Let c be l(6). Find the second derivative of 0*v - v + 0*v**5 + 4*v**c wrt v.\nAnswer: 80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 55?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39156 - 39572 = -52*k. What are the prime factors of k?\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 84aa?\nAnswer: -84ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (14 - -6 - 5)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32150784 and 24?\nAnswer: 32150784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/316 and 27\/4703581.\nAnswer: 18814324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 962 and 25493.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34019662 is divided by 483.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 2:35 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.4 - 0.2. Let o = 0.4 - s. What is the third biggest value in o, 3, -0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 11:23 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -6*r + 10*r. Sort -6, -3, r.\nAnswer: -6, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 6:58 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((3 + -3)\/(-1))\/(-1). Let n = 7 + l. Suppose 51*w - 49*w = 6. What is the remainder when n is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 572 (b) 10 (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 1252202259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by (2 - -3)*(-4 - (-4 - 2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 48*m. What is p(1)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-12)\/(p\/p**(-2\/5))*p**6\/p**(-13) assuming p is positive.\nAnswer: p**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*g**2 - 1)*(-43 + 26 + 5).\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 14*n = -3. Solve 0*d + 12 = n*k + 2*d, d = -k + 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200113 (base 10) in base 8?\nAnswer: -606661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86165*z**2 - 3244 + 6520 - 3276.\nAnswer: 86165*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47? (a) 4 (b) 0.1 (c) 0 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**5\/4 - 45*c**4\/2 - 5*c**3\/2 + 45*c**2 + 5*c\/4 - 45\/2 = 0. What is c?\nAnswer: -1, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 0 - (-5 + 26 - 7)) + -22\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 294 divided by -49.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6 (b) -3\/7 (c) -2\/5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17317 - 363655\/21. What is the closest to t in -0.2, 2, 0.47?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.1 - -21.9. Suppose 3*z + 45*o + 9 = 44*o, 3*o + 3 = -z. Which is the third smallest value? (a) z (b) r (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hyabhhbqbbavqabbbbyh. Give prob of sequence hbay.\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-8))\/(1\/(-12))*(-34)\/(-204).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 + 1)*(-3*x**5 + 2*x**5 + 2*x**5) + 0*x**4 + 0*x**4 + x**5.\nAnswer: 6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82b69 (base 12) to base 8.\nAnswer: 516001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 + 50 + 24 - 2*m - 31 - 122 to the form d*m + p and give p.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22198 by 33199.\nAnswer: 22198\/33199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -235411\/4 + 58363. Let d = o - -490. Which is smaller: -17\/7 or d?\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 979834.1g to kilograms.\nAnswer: 979.8341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*4*sqrt(65)*4)\/((sqrt(10)*1)\/sqrt(2) - (sqrt(220) + sqrt(55))\/sqrt(11)).\nAnswer: -48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -6*t**2 + 124*t + 44. What is d(20)?\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16493*c*p - 4*c + 793940*p with respect to c.\nAnswer: 16493*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -2*u + 1239. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 423?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + -11. Let x(s) = s**3 - p*s**2 + 4 + 16*s - 9 - 10*s. What is x(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-216484)\/8)\/(-16 - -10). Let w = -4503 + z. What is the common denominator of w and -59\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 382.7, -0.12, 60\/11, -5, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 168, 260, 352, 444, 536?\nAnswer: 628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 569286 and 19998.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*x - 58*x + 31*x.\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 2*o + 0*o**3 + 2*o**2 - 3*o**3 + 1. Let n be (-3)\/(-3*4\/(-8)) - -3. Let q(i) = -i**3 - i**2 - i + 1. Give n*w(t) - q(t).\nAnswer: -2*t**3 + 2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 38*y**2 - 29*y + 30. What is the remainder when 892 is divided by d(1)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2363*z**4 + 13*z + 10 wrt z?\nAnswer: -28356*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*p - 5*c = 45*p - 26, 4*c = -p + 14 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -6\/37, -7, 2\/85?\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 11*v**2 - 52*v - 13. Suppose 5*s + 3*z - 12 = 7, 2*s + 5*z = 0. Let b be g(s). Solve 3*j + 7 = 2*n, -3*j - b*n = -0*n - 13 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1702, 29, 31, -5, -2 in decreasing order.\nAnswer: 1702, 31, 29, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/4*(1 - 0). Suppose -8 = -a*r - 4. Suppose y = 3 - 1. Is y smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3346800 and 216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137, 270, 397, 518?\nAnswer: 633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**27)**18\/(f\/f**1)**(-10) assuming f is positive.\nAnswer: f**486","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + z = 0. Let w be -4 + 1\/4 + -1*45\/36. Put 2, z, w in ascending order.\nAnswer: w, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - (-1 + (-410)\/15))*15\/10.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 116 + -115.919. Let a = 12.919 + b. Which is greater: a or 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w + 0*w - w. Let u(t) = t. Suppose 12 = d + 2*n, d - 11 = -n - 4. Suppose -7*k = -d*k - 10. What is k*u(o) - l(o)?\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -5\/56*g**8 + 0*g**7 + 3 + 1\/6*g**3 + 0*g**5 + 0*g + 0*g**6 - 1\/8*g**4 - 26*g**2. Find the second derivative of f(q) wrt q.\nAnswer: -600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w - w + 5*w**2 - 6*w**2 - 1. Let f(u) = 2*u - 1 + 25*u - 31*u. Let j be 1\/4 + (-14)\/(-8). Determine j*y(b) - 3*f(b).\nAnswer: -2*b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(21) + sqrt(252)\/(sqrt(36)\/sqrt(3)) - sqrt(21)))\/(sqrt(14)\/(sqrt(12)\/sqrt(54))).\nAnswer: -2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3395, 5980, 7755, 8714, 8851?\n\"Answer: -f**3 - 399*f**2 + 3789*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 6. Find the second derivative of n*p**4 - p**4 + 0*p**4 + p - p**4 wrt p.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + 1 - 7)\/(-1). Suppose -34 + 127 = -a*o. Let d = o - -68. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13\/2? (a) 2\/5 (b) 403 (c) 2 (d) 0.5 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14932 - 4?\nAnswer: 14929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7034.\nAnswer: 2, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-37))\/(h**(-29\/3)\/h))\/(((h\/(h**(-2\/63)*h))\/h*h*h)\/(h**(-7\/5)*h)))**(5\/11) assuming h is positive.\nAnswer: h**(-8431\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 301\/1*3 + (0 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 8:15 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 1)*(-2)\/14. Suppose y = -5*q - 6, -3*q = -4*q - y - 2. Let r be (-72)\/315 + q*4\/(-5). What is the nearest to 0 in b, r, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 530, 789, 1020, 1205, 1326, 1365?\n\"Answer: -3*g**3 + 4*g**2 + 268*g + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 65\/(-845) - 149*50\/(-13). Suppose 38*t + l = 41. Which is bigger: t or -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -16 + (-2 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/2943 and 2\/131127.\nAnswer: 1180143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p. Give l(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 91426021 to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -23512.147 and -3.\nAnswer: -23515.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2703 - -2800. Calculate the least common multiple of 33 and m.\nAnswer: 3201","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-29)\/(-2)*4\/(-5 + 1). Which is the third smallest value? (a) -0.2 (b) 0.04 (c) z (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 4*k = -4, 1340*u - 4*k + 6 = 1339*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 + 3 = -3*r + g, -118 = 2*r + 7*g - 52 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 600 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g - 2 + 7*g - 22*g - g - g + 3*g - 3*g + g + 4*g + 3*g - g - g - 2*g + 2*g - g + (3*g - g + 0*g)*(3 + 1 - 3) + 0*g - g - g + 0 + 0 - g.\nAnswer: -9*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**2 - 39513*a - 1148397. Give p(-29).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 490425.1ng to grams.\nAnswer: 0.0004904251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60 by -2.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 16*h**2 - 20*h + 2. Let z(d) = -4*d - 16. Let q be z(-6). Is t(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 203?\nAnswer: -1dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (-100)\/6*((-6)\/33 - 78596\/55)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78 + -311\/4. Let y = 4\/23 + -112\/115. Sort y, -5, m in increasing order.\nAnswer: -5, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 8:18 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7150, 7142, 7130, 7114, 7094, 7070?\n\"Answer: -2*v**2 - 2*v + 7154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 6*p - 14. Let k(c) = c**2 - c - 1. Let r(q) = -j(q) - 2*k(q). Let t be r(10). Let i be (4\/8)\/(1\/t). Sort 2, i, -4.\nAnswer: -4, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2940 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110010110 - -1?\nAnswer: -10110010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 56.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (292\/16)\/(4\/(-40)) + 4\/8. Let g(a) = 7*a**3 + 2*a**2 - 3*a + 2. Let n be g(4). Let s = r + n. Does 36 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 - 200*c**2 - 403*c - 202.\nAnswer: (c - 202)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52749\/604 or -86?\nAnswer: -52749\/604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 5 + 27*j - 4)*(j**4 + 2*j**2 - 2*j**2).\nAnswer: 29*j**5 + j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -41022076 to the nearest 10000.\nAnswer: -41020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19.9 + 17.9. Let n be (105\/(-63))\/(1 + (-22)\/12). Which is the closest to 2? (a) n (b) o (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-14)\/f)\/f*(f\/(f\/(f\/((f\/(f\/f**(2\/19)))\/f*f)))*f)\/f*f*f)\/(f\/(f**(-4\/7)\/f)*f\/(f*f**(2\/19))*f) assuming f is positive.\nAnswer: f**(-116\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 1\/18, -2\/3, 3, -5.\nAnswer: -5, -2\/3, 1\/18, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 75 - 81 = 0. Let s = 25 + -17. Is h > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 847318 and -67.\nAnswer: -56770306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, g: 5, n: 12}. What is prob of sequence gg?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 4, 2.38, -3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7\/58 + -101\/116. Which is the third smallest value? (a) -160 (b) p (c) -0.5 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 16*p**2 - 604*p - 9898. Give m(-24).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - l**2 - 2. Let k = -91 - -57. Let f = k - -36. Let b be i(f). Solve -11 = 3*v - 2*v - 5*p, -b*p + 6 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -193, 3795, -13.\nAnswer: -193, -13, -4, 3795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ch when two letters picked without replacement from {h: 2, a: 1, c: 5, v: 1}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**2 - v + 11. Let s be w(8). Let k = -140 + s. Let p = 228 - k. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 13*j**2 + 98*j - 1012. Calculate o(12).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a - 42*a = -336. Let u(r) = 2*r - 6. Let z(g) = -g - 1. Determine a*z(m) - 2*u(m).\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*y + 16, 3*y + 5*r = -2*y + 35. Find the third derivative of -37 - 2*g**2 - 6*g**y + 28 - 33*g**3 + 5*g**5 wrt g.\nAnswer: -60*g**2 - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 488841.\nAnswer: 3, 162947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46217 and 409.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -166 greater than -166?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i**2 + 6*i**2 + i**2 + i**2. Let u(b) be the second derivative of b**3\/3 - 368*b. Calculate z(u(h)).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/178 + -3520\/267. Let w = 171849\/16 - 10746. Calculate the common denominator of i and w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -d - 10. Let g(z) = -z**2 - 2*z + 2. Let x be g(d). Let n = 4 + 0. Which is smaller: n or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - m + 6. Let x be g(0). Suppose -12 = -4*u - 4. Let w be 10\/x - u\/(-6). Sort 5, 4, w.\nAnswer: w, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2296865513?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2. Let r(w) = -1080014*w**2. Calculate b(r(z)).\nAnswer: -1166430240196*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -8. Suppose -2*a = -k*x + 10, a - 4 = x - 3. Suppose a*o = 3*g - 61, -2*g = -6*g + o + 53. Solve 3*r + g = 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 597 divide 153389001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = 2*d - k + 8, -d + 4*k - 48 = 0. Let u be -1*d\/6*-3. Let w = -6 - u. Calculate the greatest common factor of w and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*6\/(-3))\/(154\/(-6391)).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -75 + 83 + (5 + (-2 - 1) - 36)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 12. Solve -3*q + 2*q + s = -r, r + 4*q = -3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85 - (-259 + 249) - (1 - 1 - -17).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 211500 and 9306?\nAnswer: 2326500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -30.3, 18, 194, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 1\/3*f**3 - 1 + 10*f - 1\/2*f**2. Is x(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3*(0 + 5*(0 + sqrt(133)\/(-2*sqrt(7)) - (0 + (sqrt(931) + 0)**2))).\nAnswer: -13968 - 15*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -292, -18, -1, 4, -5 in decreasing order.\nAnswer: 4, 3, -1, -5, -18, -292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.6 (b) 0.0367 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8983533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -0.2, 1105\/27, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -133*-0.15\nAnswer: 19.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 61.319?\nAnswer: -6.1319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59325196?\nAnswer: 2, 7, 31, 41, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 775*s - 806*s = -93 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 389*m + 56. Suppose 5*p + 25*b = 20*b + 20, -2*p - 4*b = 2. Is v(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**2 - 6*f - 2*f + 5*f + (f + f - f)*(5*f - 1 + 1) + 5*f - 5*f + f**2 to the form v + h*f + i*f**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1\/17, 2 in descending order.\nAnswer: 2, -1\/17, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 - 42 = 7*g. Let v be (-3)\/(g\/20*-2). Let k be (6\/(-24))\/(11\/(-8)). Which is the biggest value? (a) k (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 9:24 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3182244 and 6.\nAnswer: 3182244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 12:54 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -17*b + 6. Let j(p) = 3 - 3*p - 30*p + 9 - 1. Let x(m) = -6*j(m) + 11*u(m). Let y(q) = -q. Give y(x(i)).\nAnswer: -11*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22522298 divided by 2.\nAnswer: 11261149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 709c - -d3?\nAnswer: 7191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one halves of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 87839 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 < 3.44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15503 + 4?\nAnswer: 15507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 2)\/((-45)\/18 + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2, 4\/7, 5, -1947, 0.15 in decreasing order.\nAnswer: 5, 4\/7, 0.15, -0.5, -2, -1947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253023907?\nAnswer: 71, 3563717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 l when three letters picked without replacement from leele?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5842574455?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21533, -36346, -51159, -65972, -80785?\n\"Answer: -14813*p - 6720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6969257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1486882548 to the nearest integer?\nAnswer: 38560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, u: 2, a: 2}. What is prob of sequence au?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - ((3 + sqrt(17))**2 - sqrt(17))) + 5 + 2*sqrt(17) + 5.\nAnswer: -16 - 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10268.53972 + -10269. What is p rounded to 2 decimal places?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 148594?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h + 4*x - 40, h + 20912*x = 20916*x - 22 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17515*k - 23288 wrt k.\nAnswer: 17515","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 416\/(-520) + (-8)\/(-10). Let v(l) be the third derivative of 3\/8*l**3 + d*l - l**2 + 5\/32*l**4 + 1\/480*l**6 + 0 + 7\/240*l**5. Factor v(m).\nAnswer: (m + 1)*(m + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1767 = -4*p - 3*k, 24*p = 21*p - k + 1324. Calculate the greatest common factor of 18 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*q + 6020 = -89564. Is 21 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/7? (a) -1 (b) -105 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.07 and 30.\nAnswer: 32.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(7) - (sqrt(35)\/sqrt(5) + sqrt(7))) - (sqrt(3)*-3 + 2))**2.\nAnswer: -8*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.14 + 1.14. Which is the closest to -1\/3? (a) -5 (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*g + 124 - 37 = -122 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 21, 90, -38, -1\/8?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tl when two letters picked without replacement from {t: 4, z: 4, l: 6}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -48*w**3 - 184*w**2 - 3*w + 3. Let k(b) = -49*b**3 - 183*b**2 - 4*b + 4. Let v(h) = 3*k(h) - 4*r(h). What is the third derivative of v(z) wrt z?\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -144? (a) -0.5 (b) 65 (c) -2\/379\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 131796 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 + 1 - (12 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7276000 rounded to the nearest one hundred thousand?\nAnswer: 7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, h: 1, d: 1, w: 2, l: 1}. What is prob of sequence woo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21363*r - 21305*r + 63840*r - 6272 = 21284*r for r.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a*z**3 - a*z**2 - 7*a*z - a + 97*z**4 + z wrt z?\nAnswer: -12*a*z - 2*a + 1164*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-5\/3)\/a*a**(3\/7))**(-4\/9))**(-1\/10))**(-6) assuming a is positive.\nAnswer: a**(188\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 27611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) -4 (c) 5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10583212 or -10583206?\nAnswer: -10583206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13361306 is divided by 132290.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274*h**2 + 232*h**2 - 498*h**2.\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -9*r**2. Let l(v) = 99*v**2 - 307*v**2 + 124*v**2 + 150*v**2. Determine u(l(m)).\nAnswer: -39204*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (4896\/187 - -16) + 11*(-28)\/1694\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 8:03 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -281, -562, -843?\n\"Answer: -281*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 5\/42*s**7 - 2 + 0*s**3 + 11*s + 1\/6*s**6 + 0*s**4 + 0*s**2 - 3\/2*s**5. Factor w(c).\nAnswer: 5*c**3*(c - 2)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2000)\/(-144) + -12 + -2)\/((-3)\/(-261))?\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 8:56 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147 - 339 = -15*b - 9*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 185 = -305 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -27430 - -271185\nAnswer: 243755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2998709 by -2.\nAnswer: 2998709\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -181*h**4 + h**3 - 12*h - 15130?\nAnswer: -724*h**3 + 3*h**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27d (base 16) to base 6.\nAnswer: 2541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 9*b - 16*b - 7*b + 8*b + 0*b. Let q(z) = 2*z. Let f(u) = u. Let h(x) = 11*f(x) - 4*q(x). What is h(v(p))?\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m + 23. Let u(g) = 5*g**3 - g**2 + 2*g. Let n be u(1). Let r be y(n). Solve r*a = 0, 5*a = j - 2 - 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 1:19 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 (base 3) in base 7?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 4*l - 180. Calculate the highest common divisor of 162 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 134286658.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 436776 is divided by 16751?\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -116 + 223. List the prime factors of k.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*a - 7 = -2 - 5. Solve 6*v**4 - 3*v**2 + 0 + a*v - 21\/2*v**3 = 0 for v.\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - (-2 - -1)) + 3. Let y = -5 + 5. Suppose 0 = -5*h + g*c + 8, -3*h - 8 = 4*c - y. Solve 0 = -h*w + 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1295 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9402 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 - 2*t**3 - t**3)*(-3 - 7 + 28 + 8*t).\nAnswer: -16*t**4 - 36*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20012 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bzdh when four letters picked without replacement from hbzzdzzbhd.\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91, -4, 233 in descending order.\nAnswer: 233, 91, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggqqqqqqgq. Give prob of sequence ggq.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1315*i**6 + 61390*i**4*j + 3*i**2*j - 11*i**2 - 2*i*j + 2*i + 8783*j + 3 wrt i.\nAnswer: 157800*i**3 + 1473360*i*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 38 - -28?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 8*f - 10. Give d(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6243640 divided by -260\nAnswer: 24014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6977506.\nAnswer: 2, 3488753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 119 - 114. Suppose -10 = -t*u + 5. Factor 3*g**4 + 4 + 76*g**2 + 12*g + 0 - 63*g**2 + 6*g**u - 2*g**4.\nAnswer: (g + 1)**2*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1200*r**2 - 341*r**3 - 1192*r**2 + 170*r**3 + 169*r**3.\nAnswer: -2*r**3 + 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5*t - 4*t + 0*t. Let b = 10 + -7. What is the units digit of v(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = -4*h - 4*n - 241743, 0 = n + 2. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337271 is divided by 160.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/((-60)\/16)*(-58331)\/(-2564).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.25 + -1.25. Is 2\/3 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -991528.3795653 and -0.3.\nAnswer: -991528.6795653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2. Let z(i) = 9173494*i**2 + 69*i. Give z(u(x)).\nAnswer: 9173494*x**4 - 69*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 40*r + 552. What is the tens digit of b(-25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * 6.72839.\nAnswer: 0.3364195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 3336 + 495. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24*(-8)\/576*(-21)\/(-266)?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + sqrt(66)\/sqrt(6) + (sqrt(11) - ((sqrt(110)\/sqrt(2))\/sqrt(5) + sqrt(11))**2)).\nAnswer: -8*sqrt(11) + 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 + (-1 - 6\/2) + -3 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 9:37 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, d: 8, s: 9}. What is prob of picking 1 o and 3 s?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -164, 93, 8 in ascending order.\nAnswer: -164, 8, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 3 + 3 + (c - 4*c + c)*(2 - 2 + 2) + 2*c + 2*c - 5*c + 2*c - 4 + 4)*(0*c**2 - 6*c**2 + 4*c**2).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 - 13 + 5*j)*(-90*j - 36*j - 12*j) - 2*j + 2*j + j**2 to the form u*j + k + x*j**2 and give x.\nAnswer: -689","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v. Let g be z(-10). Suppose -3*m + 5 = -g. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m + 2 - 4*m + 3*m. Let c be p(-4). Which is smaller: c or -6\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a hour in seconds?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 280473 and 6.\nAnswer: 560946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 - -0.2. Let d(y) = 3*y - 21. Let a be d(6). Let l be ((-12)\/18)\/(7\/a + 1). What is the closest to l in 2, -4\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**2. Let s(q) = -675*q. Calculate s(x(w)).\nAnswer: -2025*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 34, 61, 96?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nd when two letters picked without replacement from {n: 4, e: 3, d: 5, h: 1}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.6, -0.2, -5 in increasing order.\nAnswer: -5, -4, -0.2, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 11, -8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/9))**19*(v*v**1*v)**25 assuming v is positive.\nAnswer: v**(694\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (36\/28 + -7 + 6)\/((-4)\/6)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -268*k**3 + 143*k - 54*k**3 - 143*k - 183 wrt k?\nAnswer: -966*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 63, 97.19?\nAnswer: 97.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-96))\/((-7)\/(56\/(-22)))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 3. Suppose 5*a - 4*y = -0*y + 4, 0 = 2*a + t*y + 3. What is the derivative of -3 - 4 + a*g**2 + 5 + 4*g**2 wrt g?\nAnswer: 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -646 divided by -34\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**5*u - 1037*b**5 + b**2*u - 3331*b*u + 586*u wrt b?\nAnswer: 20*b**3*u - 20740*b**3 + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -4\/3*x**2 + 4\/3*x**3 + 0 + 0*x = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**4\/3 - 8*d**3\/3 - 2*d**2 + 28*d\/3 - 16\/3 = 0.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680 is divided by 150.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 30089458.827 to the nearest 1000000.\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/2 + 14*k**3 - 120*k**2 + 288*k.\nAnswer: -k*(k - 12)**2*(k - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10477532664827 + 11?\nAnswer: 10477532664838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -12*q + 24. Let w(a) = -1. Let f(y) = 5*h(y) + 120*w(y). What is the tens digit of f(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13698533 a multiple of 411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4562 = l + 608, 0 = 2*d - 3*l - 2580. Let v = d + -355. Let x = v - 645. Is 16 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.89 + 8.69. Let k = i + -0.8. Let d = -2 + k. What is the biggest value in 2\/7, d, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 276\/605?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 25075, 100342, 225813, 401494, 627391?\n\"Answer: u**3 + 25096*u**2 - 28*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11, 85, 209, 383, 607, 881?\n\"Answer: 25*n**2 - n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 2*h + 2, -f + 4 = 2*h + 2. Suppose f = 4*s - 81 + 1. Solve -b = -5*b + s for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-50)\/(-3)) - (-3672)\/(-240)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2319, -4629, -6941, -9255, -11571, -13889, -16209?\nAnswer: -18531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 213791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2 + 11*n - 7. Let v be w(4). Suppose -v = 4*u - 1. Let k(h) = 6*h**2 - 12. Let a(b) = b**2 - 1. What is u*k(l) + 12*a(l)?\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 11*j**2 - 9*j + 19. Let p(d) = -d + 4. Let v be p(5). Let r be (-1)\/(v - 18\/(-20)). What is the units digit of c(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3276*z + 8337. Let w(m) = 19655*m - 50055. Let j(d) = 25*h(d) + 4*w(d). What is the derivative of j(o) wrt o?\nAnswer: -3280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 759793.7 centimeters?\nAnswer: 7597937000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2154 - 232?\nAnswer: 1622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6880.642 years?\nAnswer: 82567.704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/3 - 69776*q\/3 + 11102726.\nAnswer: -2*(q - 471)*(q + 35359)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -207 + 276. What is the remainder when y is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 18*y**3 + y. Determine z(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4848*h - 344. What is m(0)?\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, 6, 24 in ascending order.\nAnswer: -41, 6, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33991, 33999, 34007, 34015?\nAnswer: 34023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -31*n*u**3 + u**3 + 9*u wrt n?\nAnswer: -31*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/(37 - 39008\/1056) + -31?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, r: 3, p: 13}. What is prob of sequence op?\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1019531370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**3 - 11*b**3 + 10*b - 8*b + b**2 + 2*b**4 as y*b**2 + g*b**4 + h*b + r + q*b**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**2 + 0 + 0 + (3 - 1 - 4)*(-2 - f**2 + 2) + (4 + 2*f - 4)*(f - 4*f + 5*f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 5) in base 2?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 784459 and -193281.\nAnswer: 591178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 566 divided by 28?\nAnswer: 283\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + -1 + 5410\/(-8125). Let v = f + -23085301\/11375. Let d = 2038 + v. Calculate the common denominator of d and -95\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q**2 - 2*q + 4. Let u(t) = 2 + 1 + 62*t - 153*t + 34*t - 3*t**2 + 56*t. Suppose -2*r + 4*j = 24 - 0, -j + 4 = 0. Determine r*h(s) + 5*u(s).\nAnswer: -3*s**2 + 3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -138 - -304. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00117 plus -1821865?\nAnswer: -1821864.99883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 243378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**3 - 5811315*i**2 + 52301926*i + 58113240 = 0. Calculate i.\nAnswer: -5811324, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 7*g - 4. List the prime factors of i(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p - 4. Let d be r(-10). Suppose -10 = -d*v + v. Suppose 0*y - 21 = -t + 2*y, 2*y + v = 0. Solve 5*n = 2*g + 21, -t - 3 = -g - 4*n for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 7:00 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1536 and 10404.\nAnswer: 1331712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -28 and -12119.3.\nAnswer: -12147.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -117*c**5 - c**3*k + c**2 + 207*c*k wrt c?\nAnswer: -7020*c**2 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(0 - (-2)\/6). Suppose 0 = -2*d + 4, -d = -5*h - q + 1. Suppose h = 4*i - 2*o - 21 - 1, -3*o = 5*i. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 11*g - 58. Let y be i(11). Suppose a = -a - 3*d + 14, -3*a + 21 = -d. What is the greatest common factor of y and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -289492? (a) 0.2 (b) -3 (c) -1.63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1091 - 839. What is the remainder when c is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02878 - 0.02920756. What is l rounded to six decimal places?\nAnswer: -0.000428","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t\/(t\/(t**(1\/2)\/t))))*t**17*t*t**9*t\/(t*t**(2\/23)*t*t*t))**(-37) assuming t is positive.\nAnswer: t**(-39849\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 2*w - 2352, -14*q + 11*q - 2*w + 1771 = 0. Let t = 952 - q. Does 33 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -3. What is the third derivative of -4*b**5 + 2*b**2 + o*b**5 + 5*b**2 wrt b?\nAnswer: 360*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 12. Solve 0 = n + 2*b, -7 = -n + b + i*b for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -18*s. Let y(q) = 2*q + 6. Give y(z(k)).\nAnswer: -36*k + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/5 - 9852*l\/5 + 29574\/5.\nAnswer: -2*(l - 3)*(l + 4929)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1757, -1753, -1749, -1745?\n\"Answer: 4*r - 1761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5133540 divided by 201.\nAnswer: 25540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -6*i + 50. What is the remainder when 19 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.02 + 5.98. Let k = -0.219 + 0.119. What is the second biggest value in k, a, -2\/11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6254 (base 14) to base 7\nAnswer: -100234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 27195, 54403, 81695, 109113, 136699, 164495, 192543?\n\"Answer: 7*n**3 + 27159*n + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 799564552.\nAnswer: 2, 163, 613163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 2869*w**5\/60 + 133*w**4\/12 + 3*w**2 - 1. Find the second derivative of v(y) wrt y.\nAnswer: 5738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -28\/52273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -9*a**4\/4 + 3*a - 3. Differentiate h(m) wrt m.\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5774 - 6197. What is l rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1\/3, 5, -3, -932.\nAnswer: -932, -3, -0.4, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v = -12*v - 3*g - 6, 0 = -4*v - 10*g - 32 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 23 = -4*f, 3 = 4*u + 3*f + 22. List the prime factors of (u*(-30)\/7)\/((-2)\/(-14)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 13*c + 651. Give s(-77).\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 != 74067?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*b - 2*v + 11, -1 = 2*b - 3*v. Suppose 2*c - 2*z - 389 = z, 0 = -4*z + b. What is the highest common divisor of 28 and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -228, 1\/4, 4, 2, -4, 45.\nAnswer: -228, -4, 1\/4, 2, 4, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 9*j**7\/70 - 17*j**4\/12 - 33*j**3\/2 - 3652*j**2. What is the first derivative of r(z) wrt z?\nAnswer: 108*z**3 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 518, 2054, 4606, 8168, 12734, 18298?\nAnswer: 24854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3356 is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-4*(-2*sqrt(378) + sqrt(378)))\/(1*sqrt(54)))\/(sqrt(54)\/(sqrt(6)*1 + sqrt(6)) + sqrt(648)\/sqrt(2)).\nAnswer: 8*sqrt(7)\/39 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 l when two letters picked without replacement from {l: 1, g: 4, r: 4, o: 9, v: 1, w: 1}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -79*x + 21. Is k(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 836 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8246 and 406?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(84)*-5)\/sqrt(12) + sqrt(49)\/(sqrt(567) - sqrt(7)).\nAnswer: 41*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -8*y + 100500. What is y rounded to the nearest one thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 - -59. Suppose -3*x - u = -2*x. Let i = x - -38. 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 846*t - 365 = 26*w + 841*t, 0 = -2*w + 4*t - 10 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -330, -5 in decreasing order.\nAnswer: 5, -2, -5, -330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8598749*j + 23360884 wrt j.\nAnswer: 8598749","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -575032700 rounded to the nearest one million?\nAnswer: -575000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/1589005 and -9\/3495811.\nAnswer: 17479055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 43722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q - 2*q - 32 = 34 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -3 (c) 36323 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9872 and 8638?\nAnswer: 69104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2117*b**2 + 4224*b**2 - 2094*b**2 - 3*b + (-4*b + b + b)*(-b - 2*b + 2*b) in the form r*b**2 + g*b + d and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22442338 and 169202.\nAnswer: 246865718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -299935\/513 - 273605\/513. Let u = b + 1118. Put u, 0.4, -2\/11 in increasing order.\nAnswer: -2\/11, u, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 127*f**3 + 2*f**2 - f - 1. Let z be (0 - -2)*(4 + 21\/(-6)). What is the hundreds digit of m(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 14) to base 4\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 112 in -0.05, -8, -1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 2, -59, 2\/3, -3, -10.6, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -1. Let s(g) = -g**3 + 5*g**2 - 3*g - 1. List the prime factors of s(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -13 + (-100752)\/8436 + 6\/57\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*y + 11*y + 6*y)*(-3 + 0 - 1)*(-3*y + 0*y + y) to f + s*y + g*y**2 and give g.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/8)\/((t\/t**16)\/t))**(2\/39) assuming t is positive.\nAnswer: t**(131\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**3 + 34*d**2 - 320*d + 512 = 0.\nAnswer: 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**5 - 22*s**4 - 122*s**3 + 358*s**2 + 2256*s + 2520 = 0 for s.\nAnswer: -3, -2, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of z**6\/4 + 3*z**5\/10 - 54. Suppose g(s) = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 10:49 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 6 = v + 4*v, -5*v + 4*b + 8 = 0. Solve -8*a + 4*a - 8 = v for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5 = -3*s, 1 + 16 = 3*s - o. Suppose 5*x = -2*n + 19, -x + 3*n = -2*n + s. Solve 0 = -3*f, x*l - 5*f - 12 = -f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 129912569 and 2975097.\nAnswer: 389737707","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.81094 - -0.27394. Let h = 14.28 + f. Round h to two decimal places.\nAnswer: 0.74","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/2 (b) -619 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.2 + 2. Let b = -33 + 19. Let q = b - -13. Is z >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6214 and 1663679?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 985*j*y**3 - 209*j*y - 184929*y**3 - 1 wrt j.\nAnswer: 985*y**3 - 209*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3\/7 - 321*h**2\/7 - 936*h\/7.\nAnswer: -3*h*(h + 3)*(h + 104)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 + 33 = -2*u + 4*n, 2*u + 2 = 2*n for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 68009*n + 1492*n**3 - n**2 - 5 - 34118*n + 2243*n**3 - 34060*n wrt n?\nAnswer: 22410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - 9 - (-188)\/(-14).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-20) + (-1012)\/(-10). Let l(o) = -2*o**2 - 101*o + p*o. Let v(w) = 0*w**2 + 399*w + 7*w**2 - 399*w. What is v(l(k))?\nAnswer: 28*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*w + 14. Let f(l) = 5*l**2 - 2*l + 2. Is 2 a factor of f(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/1285 or 0?\nAnswer: -6\/1285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2181 - 2180.031. What is i rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q**2 + 9*q - 16. Let w(o) = -o**2 + o + 1. Let r(i) = v(i) - 4*w(i). Give r(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i - 6*i)*(-1 + 3 - 3)*(3 + 1 - 3)*(-2 + 5 - 4).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/88581348 and -133\/29527116?\nAnswer: 88581348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 182*b**2 + 156 wrt b?\nAnswer: 364*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 5*c - 4, 5*g + 7*c = 3*c - 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*l**3 + 2*l**3 - l**2 + 7*l**2 wrt l?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/91*-7*-762*18\/108.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 4, -2\/9, 0.03885, -2, 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - z + 4. Let p(l) = -7*l. List the prime factors of p(z).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.12 in 1, -7, -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -477 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -3*q + 30, 2*q = -5*t - 0*q + 56. Let v = 36 - t. Suppose -5*k + 55 = -z - z, v = k - 3*z. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 5. Let p = 1314.8 - 1314.7. What is the nearest to p in l, 1, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nlf. Give prob of sequence nf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 852 by 1609.\nAnswer: 852\/1609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -602 + 601 - 4*p + 3*p. Let k(n) = -9*n - 3. Determine k(g) - 5*s(g).\nAnswer: -4*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = -308*p + 311*p - 4*w + 20 + 9, -2*w = -4*p - 50 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2305 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07 + 3.07. Sort 4\/3, t, -0.2 in ascending order.\nAnswer: -0.2, 4\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 - 2932200?\nAnswer: -2932202.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/((-2)\/(-4)))\/((-5)\/30). Find the third derivative of -14*d**2 - p*d**5 + 10*d**2 + 7*d**2 wrt d.\nAnswer: -720*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1773 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 931059, 931060, 931061, 931062, 931063?\n\"Answer: r + 931058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q\/((((q\/q**(-35))\/q)\/q)\/q)*q)*q*q**(-3)*q*q*(q**(3\/28)\/q)**(1\/4))**(1\/76) assuming q is positive.\nAnswer: q**(3447\/8512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.914 rounded to 1 dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 12. Let b be n(9). List the prime factors of (b\/2)\/(21\/98).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 726601815 to the power of 1\/5, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 34305445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63116 and 403.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-2\/13)\/f*f*f)**(-3\/25)\/(f\/f**(-1\/11)*f*f\/f**4))**27)**(-29) assuming f is positive.\nAnswer: f**(-1924614\/3575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 2:56 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 7*b**5\/30 - 13*b**3\/3 + 13*b**2 + 4. Let y(n) be the second derivative of q(n). What is the first derivative of y(h) wrt h?\nAnswer: 28*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -n - 3. Let v(j) = -j**3 - j**2 + 5. Let h be v(0). Let s(b) = -4 + 5 - n + h*b**2. Let o(a) = 2*a**2. Give s(o(u)).\nAnswer: 20*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7457e8 - 10?\nAnswer: -745808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -7\/4237, 5, -6\/19?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*q = -50*q + 80. Suppose -10*f + 9*f + 1 = r, 5*r - 23 = q*f. Which is smaller: 46\/13 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269418 = 6524*y - 161166 for y.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 978, 992, 1006, 1020, 1034, 1048?\nAnswer: 1062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 4*w + 1. Suppose 2 + 13 = -5*r. Let j be f(r). Let p = -65 - -109. What is the highest common divisor of j and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 38 = 4*y - 5*h, -h = -5. Solve 16 = -s + 4*j, -5*j + 13 = -y for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 118 and 27612?\nAnswer: 27612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 33547*c**3 + 33551*c**3 - 3*c - c - 3.\nAnswer: 4*c**3 - 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1430 and 260.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.8 - 2. Suppose -4*o = -4*n - 2*o - 12, o - 10 = 4*n. Which is the closest to 3\/8? (a) n (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107201.\nAnswer: 107201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1*12\/2)\/((300\/6)\/5). Suppose -5*z + 3 = -2. What is the second smallest value in z, r, -12, 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 208, 276, 332, 370, 384, 368, 316?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -205?\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, p: 12, j: 3}. What is prob of sequence pjp?\nAnswer: 33\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9520651079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -6*g - 6*g - 3*g + 2 - g + 7*g. Let i(t) = 10*t - 2. What is 5*b(w) + 4*i(w)?\nAnswer: -5*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 0*f + 10*f)*((f**4 + 0*f + 0*f)*(6 - 1 - 3) + 2*f + 4*f**4 - 2*f).\nAnswer: 72*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -9*i**2 - 2460*i - 126111. Give r(-205).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2198184*w**2 + 2205924*w**2 + w + 4*w - 4*w to the form t + y*w + i*w**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**2 - 2. Let r(c) = 44*c**2 - 77*c - 20. Determine 9*f(v) - r(v).\nAnswer: -8*v**2 + 77*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 95?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z**2 - 7*z + 4. Let h(m) = 2*m**2 + 4*m - 2. Let j(q) = -3*g(q) - 5*h(q). Suppose -p + 6 = p. Suppose 0 = -7*k + p*k. What is j(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4040068*q - 1524. Let v be a(-7). Round v to the nearest 1000000.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mjslslmty. Give prob of sequence mytj.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o + 23*o + 24 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 6*o**5\/5 + 7*o**3\/2 + 14*o + 22. Let i(g) be the first derivative of a(g). Find the second derivative of i(y) wrt y.\nAnswer: 144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/8 + 6004782*a + 24038271245016.\nAnswer: 3*(a + 8006376)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 455452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -132354*o - 529431. Give h(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -5*x**3 - 320*x**2 + 630*x + 12. Determine g(2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -16. Suppose -5*u + 11 + 13 = -3*p, -m*p - 18 = -4*u. Put 0, -4, u in descending order.\nAnswer: u, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*v + 10*v = 78. Let x(a) = -2*a**3 - a**2 + a + 1. Let y(o) = -3*o**3 - 5*o**2 - 2*o + 3. Let l(p) = v*x(p) - y(p). What is l(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 4*w**2 + 7*w - 8. Let v be t(5). Solve z - v = 4*x - 0, x - 1 = z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1484\/17 - 49\/51. Let g = l - 86. Which is the second biggest value? (a) -3 (b) g (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57)\/15 - 4\/20?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**3 + 13*y - 21. Calculate g(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 20642 (base 7) to base 12\nAnswer: 2b72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x - 3459 + x + 3459.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/56)\/((-8)\/(-28)). Let v = -0.8 - -0.9. Which is the closest to g? (a) 0.3 (b) v (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uoooguougpopuw. Give prob of picking 1 p, 1 w, and 1 g.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 26\/(-10) - 4\/10. Suppose -4*v - u + 104 = 5, -30 = -v + 5*u. Suppose 16 = -3*j + v. Sort 2, p, j in descending order.\nAnswer: j, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, k: 2, q: 6, j: 1, c: 5}. Give prob of picking 2 k and 1 j.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 18*u + 5. What is s(-17)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 8*g - 3066. Let k(j) = -2*j**2 + 68*j. Calculate v(k(u)).\nAnswer: -16*u**2 + 544*u - 3066","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1428, 1427, 1426?\n\"Answer: -s + 1429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2443359, 2443351, 2443339, 2443323, 2443303, 2443279, 2443251?\n\"Answer: -2*k**2 - 2*k + 2443363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15135141 and 0.1?\nAnswer: 1513514.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79179423?\nAnswer: 3, 26393141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23*t**2 + 1295345*t + 489189241.\nAnswer: -46*t + 1295345","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -881 (base 12) in base 4?\nAnswer: -103201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -114.954411 rounded to two dps?\nAnswer: -114.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*l**2 - 1068*l**2 - 3*l**3 + l + 2 - 1 + 13*l.\nAnswer: -3*l**3 - 1032*l**2 + 14*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1698*f = 3048*f - 370188 for f.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 5*w + 315. Find h such that w*h**3 + 3*h**5 - 50*h**3 - h**4 + h**2 + 2*h**5 = 0.\nAnswer: -1, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 7 + 3 - 3. Let p(r) = -3*r + 31. Let g be p(h). Solve -7*k = -3*k - g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.224 + 0.325. Round t to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33634 divided by -251\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12481 - -12489. Suppose q = -1 + 6. Sort 1, c, 7, q in descending order.\nAnswer: c, 7, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 79*i. Suppose 862 = 6*t - 176. Let g(u) = -163*u - u**2 + 336*u - t*u. Determine k(g(p)).\nAnswer: -79*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 180 divided by 60?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, i: 10, d: 4}. What is prob of picking 2 r?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -426467 divided by 3.\nAnswer: -426467\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 214356\/2965 and 71 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvq when three letters picked without replacement from vvqqvvv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l**3 - 3*l + 5. Let j(i) be the first derivative of -5*i**4\/4 - 2*i**2 + 4*i + 903. Calculate -4*a(r) + 3*j(r).\nAnswer: r**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 5*g = -40, 3*g + 0*g - 30 = -4*n. Solve v + 3*c = -n, -3*v - 4*c - c = 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 26*b**3 - 2*b**2 + 26*b - 24. Let q be s(1). Which is smaller: q or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 2:51 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 8363*l + 8031. Calculate f(-1).\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 216685035 divided by 646821?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 61048.2085 rounded to the nearest one hundred?\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -1\/12*c**4 + 1\/6*c**3 + 0 + 1\/2*c**2 - 23*c. Let n(p) = -4*p**3 - 12*p**2 + 8*p + 8. Let o(a) = n(a) - 8*u(a). Factor o(j).\nAnswer: -4*j**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = 15*w + 736. Let o be (-15)\/(-84) + w\/(-56). Factor 23\/4*r**2 + 9*r**3 - o + 5*r**4 + 7\/8*r**5 + 1\/8*r.\nAnswer: (r + 1)**3*(r + 3)*(7*r - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24334212 (base 5) to base 6\nAnswer: -4535221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 - -0.2. Let z = -39 + 46. Suppose -z*t - 23 = 16*t. Which is the nearest to t? (a) 4 (b) 1\/8 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -30574892, -30574891, -30574890?\n\"Answer: t - 30574893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + (-51)\/(-6))*(-242)\/33\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114541376 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 248 - 159. Let y = i + -84. Let r(m) = m + 2. What is r(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221647484 a multiple of 354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*a)*(1 - 12 + 10 - 25*a).\nAnswer: -50*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 121 and 5.5.\nAnswer: 126.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31089*x**2 - 1853*x - 5.\nAnswer: -62178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (306\/(-34))\/((-6)\/4). Solve -4*s = -5*h - 11, 5*s - h = -r + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15*(-4)\/(-90)*378\/40 and -89\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, 33, 1, -2\/13?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -242 - -301. Suppose d*b - 44*b + 75 = 0. Let l be (1 + 0)\/((-1)\/(-2)). Sort 0, -6, b, l in decreasing order.\nAnswer: l, 0, b, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -52, -54, -20, 50, 156, 298?\n\"Answer: 18*n**2 - 56*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1280) + (sqrt(1280) + 0)**2 + 5 - 2*(-2*sqrt(405) + sqrt(405))\/(sqrt(18)\/sqrt(2)*3).\nAnswer: 18*sqrt(5) + 1287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + 2 + sqrt(19) + sqrt(19) + 1 - (sqrt(19) + -5)**2*3.\nAnswer: -129 + 33*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 12*x**2 + 13*x + 12. Let c(o) = o**3 - 11*o**2 - 13. Let k be c(11). Let s be z(k). Solve 3*f - s = 0, 0 = -y + 3*y + 2*f - 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3427 and 149.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 820 divided by 164?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 20 + c**2 - 1\/6*c**3 + 0*c**5 + 0*c**4 + 0*c + 1\/60*c**6. Let o(w) be the second derivative of p(w). Give o(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, c: 1, v: 2}. Give prob of sequence kc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -360, -1242, -2986, -5886?\nAnswer: -10236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 218688\/(-36448)*2\/(249*-2).\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -4\/23 (c) 514 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 144\/(-120) + (-156)\/(-105). Which is the closest to 5\/3? (a) -5 (b) 1 (c) n (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 152 and 12046.\nAnswer: 48184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2704*y**5 - 4070144*y**4 - 31746796*y**3 - 57969700*y**2 + 14670624*y - 871488 = 0?\nAnswer: -4, 3\/26, 1513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -252954058662.24400024 + 252975976750.244. Let l = 21918087 - h. Let x = -1 - l. What is x rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 4*y + 4. Suppose 5*d + 0*d = 3*u - 37, -5*u + 3*d + 35 = 0. Let q be h(u). Suppose g - q*g = -3. Solve 3 + g = f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 16*z - 8*z + 5*z. Let b(k) be the third derivative of k**4\/8 - 32*k**2. Determine -9*b(s) + 2*u(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295488322?\nAnswer: 2, 17, 1637, 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42492 and 382428?\nAnswer: 382428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 18 = -2*d, -2*h + 3*d - 42 = -39. Let j be (-6)\/h*(-169)\/(-26). Let w(o) = -o - 4. Determine w(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 440 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 69711941?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -3439\/360 - -143\/45. Calculate the common denominator of t and 73\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -24*x**3 + 212*x**2 + 9124*x - 9312 = 0.\nAnswer: -97\/6, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 9*x + 5*x = -6, 4*m + 3*x = 11. Let q(f) be the third derivative of 0 - f**m + 0*f**3 - 1\/6*f**4 + 0*f. Let o(g) = -2*g**2. What is q(o(j))?\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*b + 6*b - 6*b + 2*b - 1 + 1 + (-1 - 1 + 3)*(-4*b + 2*b + 4*b) + 1 - b - 1 + 0 + 0 + b)*(-15 - 5 + 33) in the form x*b + s and give x.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -86, -166, -224, -260?\n\"Answer: 11*f**2 - 113*f + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -98 - -99. Let m be (18\/10)\/(3\/10). Let x(v) = -1 + v + 0 - 6. Let w(f) = 1. Determine m*w(j) + t*x(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 841.867 millilitres to litres.\nAnswer: 0.841867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11576175 = 55*t - 11569630 for t.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4961 divided by 5?\nAnswer: -4961\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - u = -28. Which is the nearest to -0.2? (a) 4\/9 (b) -6 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-2))\/(6\/12) + 9. Suppose 6 - 4 = b. Suppose -12*n**4 - 4*n**3 + 0 + 14*n**4 + 16*n + 0 - z*n**b = 0. Calculate n.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -219*i**2 - 5. Let g(x) = 114*x**2 + 3. Let b(s) = -5*g(s) - 3*q(s). Let z(u) = 16*u**2. Give b(z(k)).\nAnswer: 22272*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -3*b + 3*x, -b - 21*x + 16 = -18*x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*k + 1 + (1 + 0 + 1)*(3*k + k + k) in the form m + a*k and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 3:09 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9063, 36259, 81595, 145077, 226711?\nAnswer: 326503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1323732454.9 to the nearest one hundred thousand.\nAnswer: 1323700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -316 = -2*v + 2*x, 4*v = 2*x - 4*x + 626. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -319*k**5 - 187570*k**4 - 1650287*k**3 + 6282532*k**2 - 4472148*k + 27792 = 0. What is k?\nAnswer: -579, -12, 2\/319, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of u**5 + 1444*u**4 - 16*u**2 + 8*u - 3790.\nAnswer: 20*u**3 + 17328*u**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4426401439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2*i - 2*i = -36. Let p(u) = u**3 - 19*u**2 + 16*u + 19. Calculate p(i).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/7*s**2 + 76729\/7 - 554\/7*s.\nAnswer: (s - 277)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 2\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -969 + 968.9. Let i = -1 - -1. Which is the closest to i? (a) 1 (b) 0.3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 0*x + 2\/3*x**3 + 1\/120*x**6 + x**2 - 1\/30*x**5 + 6 - 1\/4*x**4. Let v(q) be the second derivative of r(q). Determine v(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*x + 2*m, -3*x = -2*x - 4*m + 19 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -23188, -185495, -626036, -1483927, -2898284?\n\"Answer: -23186*w**3 - w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*k - 5189 + 1139 = 0, 5*k = -2*o + 4043. What is the hundreds digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36400 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j + 0*j - 4*j. Let f(l) = 16*l. Determine g(f(t)).\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -c**6\/3 - 9*c**5\/5 - 2*c**3\/3 - 9*c**2\/2 - 42. Find the third derivative of z(i) wrt i.\nAnswer: -120*i**2 - 216*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (0 + 1)*0. Suppose 3*z + 18 + 2 = -x*v, -v = -4*z - 23. Let b(j) = j**2 + 3*j. Is 9 a factor of b(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 633515003 to the nearest integer?\nAnswer: 859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 1189*n**6\/120 + 41*n**5\/12 + 205*n**4\/24 - 143*n**2 - 3. Let r(a) = -35*a**3 - 6*a**2 - 6*a. Give 6*h(s) + 205*r(s).\nAnswer: -41*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 196?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -200 - -2026. What are the prime factors of l?\nAnswer: 2, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*i**3 + 58*i**3 - 44*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 4. Let s = a - -4. Let h = 402085 + -402081. Solve 4*y + f - s = -9, h*y - f = -9 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42250322 (base 6) in base 4?\nAnswer: 10231210022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 443972?\nAnswer: 3551776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v**3 + v. Let h be d(-1). Let q be 5*h - (-2 + 2). Suppose 4*u - 10 = -u. What is the highest common factor of u and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2097*b**4 + 1117*b**4 + 1 - 3)*(0 + 0 - b).\nAnswer: 980*b**5 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -75733 and 5\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 119793.5 millimeters in meters?\nAnswer: 119.7935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 2*w**2 - w. Let x(q) = 2*q**3 - 14*q**2 + 4*q + 4. Determine -6*p(f) - x(f).\nAnswer: 4*f**3 + 2*f**2 + 2*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52975 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1, -1\/3, 528, 2\/3, -8\/7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*j = 2258*j + 26559 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + 3 + sqrt(108)*-1 + sqrt(108))**2 + sqrt(108).\nAnswer: 42*sqrt(3) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 132595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2191, 8772, 19741, 35098, 54843, 78976, 107497?\nAnswer: 140406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1123 - -1123.4. Which is the closest to 8? (a) -0.1 (b) -1\/4 (c) -0.2 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-192)\/234 - 12\/(-78). What is the nearest to 1 in 3, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-506)\/(-4) - 2)*2. Suppose 0 = 3*b + b + 3*j - 199, 4*j - a = -5*b. What is the remainder when b is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 453169605 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x. Let t be 9 + -9 - 1*-4. Let a(n) = -t*n**2 - 99*n + 99*n. What is c(a(z))?\nAnswer: -20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = u - 13, 413*f + 5 = 415*f + u. Let l be (-2 - -1) + (30 - -1). Put -5, f, l in ascending order.\nAnswer: -5, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 - 9 = 5*l. Suppose -4*v - 3*m = -95, -3*v + 0*m + 4*m = -40. Calculate the least common multiple of v and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, z: 1, p: 1, x: 1, q: 1}. Give prob of sequence pxq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 25 = 4*h. Let t(c) = -c**2 - c - 1. Let n(j) = 7*j**2 - 5*j - 8. Let i(u) = n(u) + 5*t(u). Let l be i(6). Put 7, h, 4, l in decreasing order.\nAnswer: 7, 4, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/172 and 79\/1720.\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*o, -o - 49646 = -499*r + 496*r. List the prime factors of r.\nAnswer: 2, 3, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3015\/82 or 36?\nAnswer: 3015\/82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -5. Let d be (6\/y)\/((-4)\/6). Let o = 1\/106 - -311\/742. Is o not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 75 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*20\/(-18)*72\/120. Factor 1\/2*b**4 + 3\/2 - b - 2*b**n + b**3.\nAnswer: (b - 1)**2*(b + 1)*(b + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 1 - 1) + (-27 - -29)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**3 - 2*w + 2. Let m(t) = -t**3 - t**2 - t - 1. Let a(o) = -12*o**3 - 15*o**2 - 12*o - 18. Let u(y) = -a(y) + 15*m(y). Give 3*r(b) - 2*u(b).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f**2 + 2*f**2 - 2*f**2)*(5*f - 11*f - 9*f + 2*f**2) to j*f**4 + i*f**2 + r*f + t*f**3 + y and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4138410668 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: Let h(d) = -12*d + 1. Let a(f) = f. Give 6*a(o) + h(o).\nAnswer: -6*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 417 - 403. Suppose -o*h + 2*h = 0. What is the fourth smallest value in 2\/21, h, 3, 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*m**4 - 34*m**3*u + 1452*m*u + 38215*u + 166 wrt m.\nAnswer: -12*m**3 - 102*m**2*u + 1452*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -103 + 103.00526. What is v rounded to 4 dps?\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1889192 and 856.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*c*w*y**2 - c*w*y - 26*c*w + 3*c*y**2 + w*y + 415*y**2 - 4*y wrt c?\nAnswer: 4*w*y**2 - w*y - 26*w + 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/((-15)\/(-12) - 3\/12). Suppose -4*z = -5*x - 9*z + 865, 5*x - z - 847 = y. Suppose -x = -3*w + 4. Calculate the least common multiple of w and 12.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -719*h + 727*h - 96 = 0. Suppose -4*m + 27 + 42 = 3*o, -m + 23 = o. Let v = o - h. What is the remainder when 17 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -14*u**2 - 19*u - 56. Calculate a(6).\nAnswer: -674","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 164*r**3 - 2*r - 5 wrt r.\nAnswer: 984*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*s - 178*s + 1585 + 1301 = 0 for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/8 of a decade?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1684 is divided by 211.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -32610 rounded to the nearest 1000?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*j**2 - 149988*j + 149988*j - 87*j**2.\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 602101654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155677109?\nAnswer: 7, 17, 89, 14699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 6.4, 0.3, 2\/5 in decreasing order.\nAnswer: 6.4, 2\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 50.1402 weeks?\nAnswer: 505413.216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b*h**5 + 2*b*h - 3007345*h**5 - 141545916*h wrt h?\nAnswer: 20*b*h**3 - 60146900*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 - 728*l**2\/5 - 886*l\/5 - 148\/5.\nAnswer: 2*(l - 74)*(l + 1)*(5*l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 3:33 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 152\/(-57) - (-25420)\/(-12). Does -2120 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -88 - -156. Differentiate q*y**3 - y**4 - 4 - 68*y**3 wrt y.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/6 and 97\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 take away 0.18727949?\nAnswer: -32.18727949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -11. Let g be -40*((-221)\/(-68) + -8) - 14. What is the highest common divisor of g and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -64 - (5\/1 - 2). Let d = a - -36. Let o = d - -47. What is the least common multiple of 12 and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*n**3 - 7*n**3 - 7 - 18 - 9*n**3 wrt n?\nAnswer: -54*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5*n + 15, -4*n - s - 1 = -12. Suppose -n*w + 0 + 12 = 2*p, -9 = -3*w + 5*p. Solve 13 - w = 2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**4 - 3*n**4 - 4*n**3 + n**4 + n**4 + n to o*n**3 + u*n**4 + k*n**2 + a*n + f and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -x - 59 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 12*a - 30*a + 23*a + 6*a. Let z(g) be the first derivative of 2*g**2 + 1. What is -6*k(j) + 17*z(j)?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 508 + 206 = 6*q. Let d = 194 - q. What is the remainder when d is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-4)\/g*g*(g\/(g\/((g**(4\/5)*g)\/g)))\/g*g**(3\/2)\/(((g**(-3\/7)*g)\/g)\/g) assuming g is positive.\nAnswer: g**(-89\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64 - 34*u - 37*u**2 - 10*u**2 + 48*u**2.\nAnswer: (u - 32)*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 1:12 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35741 is divided by 8895.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from {q: 5, h: 4, k: 10}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3191434840 to the nearest integer?\nAnswer: 56493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 + 2244595*d - 2244590.\nAnswer: -5*(d - 448918)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/((-126)\/(-28)) + 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -198 + 166. Let y = -24.894477 - 7.105733. Let x = y - p. Round x to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus -0.19863449161?\nAnswer: -3.80136550839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/1)\/(2\/(-6)). Suppose -2*y = -3*l - 10, -4*y + 4 - 14 = -11*l. Solve -k*n = -y - 10 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*u**3 + 7*u**3 - 4*u**3)*(0*u**2 + 5*u**2 - 2*u**2) + u**5 + 0*u**5 + u**5.\nAnswer: -46*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87502 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 - 25 = 4*g + 2*h, 4*g + 106 = -3*h. Let b = -20 - g. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14*24\/504)\/(-4)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3, 469, 1745, 4227, 8317, 14417, 22929, 34255?\n\"Answer: 67*o**3 + 3*o - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -22*u**2 - 2*u. Suppose -5*b - 18 + 203 = 0. Let g(r) = 3*r + 37 - 4*r - b. Calculate g(y(w)).\nAnswer: 22*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 11680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -5520.349 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 62, 0.2, 0.1, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 14. Let c be (-3)\/((-9)\/75) - -1. Let o = c - 20. Calculate the remainder when k is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 67338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m - 10. Let v(w) = -w - 9. Let g(l) = 4*p(l) - 5*v(l). What is the units digit of g(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -327*d**2*r + 49*d**2 - 4 wrt r?\nAnswer: -327*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5874305 less than or equal to -5874305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -42217 or -168871\/4?\nAnswer: -42217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5396966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.252 and 5.\nAnswer: -1.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*v - 3*z + 110 - 344, -3611*v + 63*z = -3615*v + 28*z - 2874 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4871 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 1:08 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 194.88.\nAnswer: 38.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*x - 168*x = 15*x - 5280 for x.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194409 is divided by 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**3 - 2*m**4 + 31*m - 29*m + 0*m**4 + 17*m**2 - 142*m + 2*m**2 as i*m**2 + t + z*m**3 + q*m**4 + u*m and give u.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2431752 and 607938?\nAnswer: 2431752","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -s**3 - 640*s**2 - 38826*s wrt s.\nAnswer: -6*s - 1280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16108 = -13*x + 2846. What is the highest common divisor of x and 378?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 10:31 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*v**3 + 1\/2*v**2 - 5\/4*v - 3\/2.\nAnswer: (v - 2)*(v + 1)*(v + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33415\/3 + 9374. Let a be -2 + (-1752)\/(-1) - 1. Let w = p + a. What is the common denominator of -1\/3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 7:09 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -8*m**3 - m**2 - 2*m + 2. Calculate q(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 167\/11317 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 22 = 4*i - 2, -2 = -v + 5*i. Let f(o) = -o**3 - 7*o**2 + 7*o - 7. Determine f(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75564?\nAnswer: 2, 3, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 5*z + 8. Let a be f(-6). Let o be -2*(-56)\/16*a\/7. Suppose -5*l = -o*j + 444, 2*l + 6*j + 168 = 2*j. Are l and -87 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200)*2*1.\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 5*u**2 - 6*u**2 + 6)*(18 + 23 + 42 - 1).\nAnswer: -82*u**2 - 246","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 6541?\nAnswer: -6543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -83\/138 or -161?\nAnswer: -83\/138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 7*l**2 - 5*l. Let d(u) = 4*u + 8*u**2 - 5*u - u - 4*u. Let a(n) = -5*c(n) + 4*d(n). Let z(b) = -b**2 - 3*b + 3. Let s be z(-4). Determine a(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**4 + j**4 - 3*j**4)*(2 - 2 - 1)*(1 + 0 + 0) + 4*j**4 + 3*j - 5*j - 6*j**4.\nAnswer: -j**4 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 11*x**2 - 424*x + 103. Determine z(39).\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2811*d**2*k**3 + 1259593*d**2*k + 10*d*k**3 wrt k?\nAnswer: 16866*d**2*k + 60*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1568\/168 + 2\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -y - 2. Suppose -4*u - 3*o - 3 = 33, 3*u = 3*o - 27. Let g = y - u. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12895\/8 - -1604. Calculate the common denominator of t and -97\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49119 and 945?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*w**2 - 15*w**2 + 3*w**2 - w + 12*w**2 + w + (-2*w**2 - w**2 + w**2)*(-4 + 3 + 3) - 4*w**2 + 0*w**2 + 3*w**2 + 2*w**2 - w**2 + w**2.\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -52913, -52877, -52813, -52721, -52601?\n\"Answer: 14*p**2 - 6*p - 52921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 944270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - b = 18, 2 = 2*m + 3*b - 6*b. Let a(v) = v**2 + 5*v - 8. Let k be a(-10). Suppose 5*x + m*i + i = 190, -x = -i - k. Is x a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(245) + -3)**2 + 2 + -3 + ((2*sqrt(245)*5 - sqrt(245)*-2*-2)*6)**2 + 4.\nAnswer: 42*sqrt(5) + 317777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*b - 14*b - 4*h + 18, 0 = -b + 4*h - 15 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 119\/2 + -827\/14. Which is the nearest to -0.1? (a) m (b) 1 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 33 - 8 = 0. Put -3, q, 2 in ascending order.\nAnswer: -3, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 14) to base 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 15 = 0, -4*s + b + 11 = -4. Suppose -5*l + 4*w + 47 = 0, s - 3 = 2*l + 4*w. What is the remainder when 11 is divided by (-1 - 0) + l + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5356 smaller than -5181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from gogggogggggg?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.217526, -12, 2, 4, 3 in decreasing order.\nAnswer: 4, 3, 2, -0.217526, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4230760 a multiple of 865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, j: 2, c: 2}. What is prob of picking 2 j and 1 c?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2)\/d**13 assuming d is positive.\nAnswer: d**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4103725 - 4515\nAnswer: -4108240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**5 + 156*x**3 - 10*x - 156*x**3 + (-2*x - 2*x**2 + 2*x)*(-2*x**3 + x**3 + 3*x**3).\nAnswer: -8*x**5 - 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 5:01 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1748 - -49.0652. Let s = k - -0.76. Let y = s + -49. Which is greater: y or -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 4, -7, -127 in decreasing order.\nAnswer: 4, 2, -1, -7, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*g = 81. Let a(z) = -z**2 + 15*z - 49. Let k be a(7). Suppose -s = -k - 20. Calculate the highest common factor of s and g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l - 10. Let x be -8 + (1 - -2 - 6). Let y be v(x). Let k = -7 - -19. Solve -u = 4*a - y, -u - 2*u + k = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -14 - -3) + 7 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 10 = 10. Let b(u) = u**3 - 4*u**2 + u - 3. Let x(h) = 2*h - 2. Let t be x(3). Let w be b(t). Calculate the greatest common factor of w and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 191 from -5203.\nAnswer: -5394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -n*q - 2*n*u**2 + 245*q**3*u**3 + 18*q**3 wrt u.\nAnswer: -4*n*u + 735*q**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 4*o - 2 + 20, 4*u = -5*o + 10. Suppose 37 = 4*x - m, -33 = -5*x + 4*m + u. Calculate the smallest common multiple of 18 and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 6*p + 8. Suppose 7*y - 15 = p*y. Find the second derivative of -s - 5*s + 0*s + s - 4*s**y wrt s.\nAnswer: -80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -596*y - 60. Does 11 divide v(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-158046)\/4368 - -36 - (-1)\/(-8)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -15*s + 5. Let z(j) = 15*j - 4. Determine -6*v(y) - 7*z(y).\nAnswer: -15*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21585389?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - n + 0*n)*(309*n - 1587*n**2 + 257*n - 566*n).\nAnswer: -3174*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*q - 149 = -14*q - 131*q - 1765 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9071*o**4 - 3178*o**3 - 6*o**2 - 995010594.\nAnswer: -36284*o**3 - 9534*o**2 - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 h, and 1 p when three letters picked without replacement from {p: 3, h: 3, v: 2}.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1*30*(-6)\/(-4) is divided by 1*30\/(-25)*-10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i - 2. Let b(p) be the first derivative of -3*p**2\/2 - 3*p - 170. Give 4*b(z) - 5*w(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 515 a factor of 1446306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 7 = 8. Suppose -4*o + 23 = -c*s, -o + 2*s + 18 = 2*o. Suppose 13 = 3*h + l, 4*h - 7 - 1 = l. Solve -h*q - q = o for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 297, 14, 2, 3, 1, -230 in descending order.\nAnswer: 297, 14, 3, 2, 1, -230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-80) - 16\/(-80)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -8*f + 41, 4*f - 6*z = -3*z - z + 2*z - 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 9:46 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14 + 559\/(-234)*6)\/(2\/18). Suppose -4*s = -3*a + 13, -2*a = 2*a + 2*s - 32. What is the third smallest value in b, 1, a, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 825 at least 816?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4552560 divided by -60.\nAnswer: 75876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.0177 (b) 4\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 62\/(-184) + 2\/8. Let l(z) = 37*z + 11. Let s be l(-2). Let b = 63 + s. Which is smaller: x or b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h = -j - 6, -h = -4*j. Let a be 37\/2 - (-2)\/4. Suppose -k = f - 4, a = -f + 5*f + k. Calculate the remainder when h is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 - 21*i**2 + 20*i.\nAnswer: i*(i - 20)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 b when three letters picked without replacement from yeobhxe.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -5*y**2 - y - 1. Let o = -5 + 7. Let v be 66\/24 + o\/8. Suppose 0 = -4*z - 2*i - 8, 5*z - v*i = i + 3. Determine q(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 978918 and 2668170.\nAnswer: 3534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 6:08 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -879 + 878.6. Which is the fourth biggest value? (a) -5 (b) h (c) 3\/8 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-6)*(2 - 2). Let f be 2 + a*(-4)\/(-8). Suppose -5*r + 10 = -g - 4*g, -3*r = f*g - 16. Solve 4*b = 5*u - 0*b + 8, 6 = -g*u + 3*b for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*m - 73 + 181. Let h = 35 - 40. Which is greater: h or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11103, -43709, -96805, -169371, -260387, -368833?\nAnswer: -493689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 5*t - 15 = -c, 3*c + 15 = 0. What is the third biggest value in -0.3, -1, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 1:17 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 times -0.4\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/9 of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2821 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -295236 by 24603.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.9 + 5.7. Let z = -5 + r. Let d be (-2)\/(-10) - 0\/1. Sort d, 1\/4, z in descending order.\nAnswer: 1\/4, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -85 + -73 + 180 + (2 - 41).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*c + c = -54, -5*g + c = -174. Let r = g + -33. Solve 4 = m + r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3\/5 + 13*v**2\/5 + 39*v\/5 + 27\/5 = 0 for v.\nAnswer: -9, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -7. Calculate the lowest common multiple of 5 and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(208) + -3)**2.\nAnswer: -48*sqrt(13) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -10*g - 3. Let p(i) = -20*i - 7. Let a(k) = -3*p(k) + 5*z(k). Let f(b) = 2*b + 1. Determine 3*a(r) - 16*f(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 5*g - 632 + 807, -99 = -3*i - 3*g. Solve 0 = -i*h - 43*h + 85*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 9*f + 1 = 2*k, 3*k = -3*f + 15. What is the second derivative of 160*b**3 - 279*b**f + 155*b**3 + 56*b - b wrt b?\nAnswer: 216*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/6 and 2\/(-3)*(-4797)\/(-260).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/26? (a) 5 (b) 2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8058 + 8048. Sort 1\/6, w, 0.09.\nAnswer: w, 0.09, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + d + 5. Let t be i(-5). Let w = -4 + t. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*q + 2*q + 410. Let s = q - -3. What is the third derivative of 6*z**2 - 44*z**3 - 2*z**2 + s*z**3 - 17*z**4 wrt z?\nAnswer: -408*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {a: 8, e: 1, u: 2, i: 3, s: 3, c: 1}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -528.139716 rounded to one decimal place?\nAnswer: -528.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 112816.003 rounded to the nearest one thousand?\nAnswer: 113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -3*c**4\/5 + 6*c**3\/5 + 669*c**2\/5 - 84*c - 7020 = 0.\nAnswer: -10, 9, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 3*m**4 + 3*m)*(-9*m - 18 + 18) - 5*m**5 + 5*m**5 + 7*m**5 + (-2*m**3 - 5*m**3 + 5*m**3)*(0*m**2 + 2*m**2 - 4*m**2).\nAnswer: -16*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2532 divided by 844.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.44384ug to milligrams.\nAnswer: 0.01444384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 14) to base 4\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 92902987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-32) - (1 + -1).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 5:17 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**4\/5 + 114337*m**3\/5 - 76226*m**2\/5 = 0. Calculate m.\nAnswer: -38113, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 449 a factor of 268664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-77))\/(-12*2\/(-84))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 403240 - 3*r - 403240.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 5. Let j(r) = r**2 - 4*r + 1. Let y be j(m). Let a = 19 - y. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17\/9 + 239\/117. What is the nearest to -2\/7 in -2, -1\/8, -3, m?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-72 - -78)\/((-6)\/(-4)). Solve -20 = -q*o - 4*l, o - 5*o - 5*l = -21 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 2*y**3\/3 - 1. Suppose -4*b - b = -10. Let n(f) = f**2 - f**2 + 2*f**b. What is v(n(l))?\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 2*t + 2*m, -5*m - 31 = -2*t - 18 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1380 and 495.\nAnswer: 45540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 763 divide 20260702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*v**2\/4 - 3513*v\/4 - 65835\/2 = 0. What is v?\nAnswer: -1045\/3, -42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 4*h - 24 = 0, 983*h = 987*h + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20.444 + 38.444. What is the fourth smallest value in -4\/5, 2, -10, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41825 is divided by 13937?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c - 2. Let i be v(-5). Let a be 3\/(i\/2 - -2). Is a smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(9\/32) + -2. Let q = -22 - j. Calculate the lowest common multiple of 3 + 1*q\/4 and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61370 + -23396. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1253, -1520, -1789, -2060, -2333, -2608?\nAnswer: -2885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**2 - 53554*t - 2140560 = 0. What is t?\nAnswer: -53514, -40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y = 12*y + 12*y + 3*y. Find c such that 12\/5*c + y + 4\/5*c**3 - 16\/5*c**2 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 522 and 33?\nAnswer: 5742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -37*o - 97. Which is the closest to o? (a) -1\/3 (b) -0.2 (c) 0.4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17115 and 1680?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6534874 is divided by 908.\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 + -28. Suppose -r*p = -6*p - 2*n + 56, 4*p - 126 = 3*n. Calculate the highest common factor of 30 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22050\/5880*2*-10.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -71*p**2 - 47*p - 1. Let c(s) = s**2 + 2*s. Let b(o) = -6*c(o) - 2*k(o). Find the second derivative of b(w) wrt w.\nAnswer: 272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 339*x**2 + 118*x**2 + 0*x**3 - 1271 - 114*x**2 + 397*x**2 + x**3 wrt x.\nAnswer: 3*x**2 + 1480*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, r: 1, v: 1, b: 2, w: 1, u: 1}. Give prob of picking 1 u, 1 w, and 1 y.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h - 3. Let j be r(-4). What is the units digit of j*(2 - -2)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w + 86*w = -148 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -102, 8, 0.1, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 417339 and 19557.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -21. Suppose d = -r + z - 2, d + 16 = -4*r. List the prime factors of (-1509)\/(-42)*d - (-2)\/7.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/1)\/(7 + -8). Sort j, -2, 3, 4.\nAnswer: -2, j, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6.712601 and 0.0112.\nAnswer: -6.701401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-52705)\/(-3))\/((-30)\/792*-22) a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115411, -115416, -115421, -115426, -115431, -115436?\nAnswer: -115441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/(v*v*v**6)))\/(v**(-2\/5)*v))\/(v**2*v**(-4)*v))**44 assuming v is positive.\nAnswer: v**(1848\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 129 - 130. What is the nearest to l in 30, -0.1, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2971266 - 0.118203?\nAnswer: -2971266.118203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nf when two letters picked without replacement from uujnjtttufuf.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -142 + 144. Which is the biggest value? (a) -17 (b) -1\/9 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53363736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 140 + 6\/27 + (-6)\/27. Let s = -296 + 200. Let j = n + s. Does 22 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3637 and 0.5019.\nAnswer: 1825.4103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/448 and -109\/6?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1195*g**3 + 1189*g**3 - 2399*g**3.\nAnswer: -15*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.13 + 3.13. Which is the second smallest value? (a) -0.4 (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -1 (c) 0.5 (d) -2\/47 (e) 44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, -0.4, -56, 5, 0.3 in decreasing order.\nAnswer: 5, 0.3, -3\/8, -0.4, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -v + 10, -9*v - 10 = 4*c - 7*v. Put 7, 0, 3, c in increasing order.\nAnswer: c, 0, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1. Suppose 0*q = 2*q. Let a be (-2 + q)*-1 + 0. Solve z - 6 + 1 = a*n, u = 5*n for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 277\/2 (b) -5 (c) 0.0505\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26535, -53173, -79841, -106551, -133315, -160145?\nAnswer: -187053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l + 6 + 18 = 0. Let w(j) = 17*j**2 - 20*j - 36. Let x be w(l). What is the greatest common factor of x and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 10\/9, 1\/3, -0.5, -47\/7, -9, 3, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**5*y - 156*l**2*y**2 - 2*l*y**2 - 6*l*y + 1 wrt l?\nAnswer: 20*l**3*y - 312*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 14 - 18)*(-4 - 4 - 3*n + 6)*(n - n - n).\nAnswer: -96*n**2 - 64*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(-1)*o*(o*o**(-7))\/o)\/(o**(-1\/6)\/o*o**(-2\/9)))\/((o**(3\/4)*o**(-5\/6))\/(o*o**(2\/5)*o\/(o*o**(-1\/9)))) assuming o is positive.\nAnswer: o**(-1\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/3))**28 assuming d is positive.\nAnswer: d**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of c**4\/4 + 7*c**3 - 2875*c**2\/2 + 2*c - 202. Differentiate m(d) wrt d.\nAnswer: 6*d + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/4*904\/(-5537).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2134355, 8537407, 19209153, 34149587, 53358703, 76836495?\nAnswer: 104582957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 + 29*t + 155. Let r(a) = -3*a - 58. What is the least common multiple of r(-20) and p(-5)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 4 + 6 = 0, -4*l = -5*o - 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.63 - 0.03. Let j = f + -2.6. Let q be 14\/(-8) - (-3)\/16*4. Which is the second smallest value? (a) j (b) q (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 496, 448, 362, 232, 52, -184?\n\"Answer: -c**3 - 13*c**2 - 2*c + 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27877?\nAnswer: 61, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-3)\/(-1) - (-51)\/(-18))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1446 is divided by 480.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2769 greater than or equal to 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 47*k - 5. Let g(u) = u + 1. Determine -6*g(h) - p(h).\nAnswer: -53*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -12*x - 327. Calculate the remainder when 83 is divided by z(-28).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of n**4\/4 + n**3 - 2*n**2 + 2*n - 1. Let d be (2 + 1)\/(6\/(-8)). Let x be j(d). Solve x*a - 18 = -4*v, a = 5*v - a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 21\/2. Let k(i) be the first derivative of -3\/4*i**4 + 0*i + 1\/5*i**5 + i**3 + 1 - g*i**2. Determine y so that k(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 18 = 30. Suppose -4*h = f - 378. Does 20 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 5*c - 5. Let d be y(-6). Let q = d - 6. Let z = 3 + -4. Put 0, q, z in descending order.\nAnswer: 0, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**5 + 29*v**4 + 27*v**3 - 729*v**2 - 1566*v.\nAnswer: -v*(v - 29)*(v - 6)*(v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**2 - t**3 + 0*t**2 + 196 - 198.\nAnswer: -t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4968120194?\nAnswer: 2, 647, 3839351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a + 48 = 3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32142*h**3*j**2 - 1072*h**3*j - 2*h**3*p + 24*h*j**2*p + h*j*p - 2*h + 10*j*p - 2*p wrt j?\nAnswer: -64284*h**3 + 48*h*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of d**7\/280 - 11*d**4\/24 - 2*d**3 - 5. Let x(w) be the third derivative of k(w). What is the first derivative of x(v) wrt v?\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/2)\/a**(-11)*a\/(((a\/(a**(-1\/7)*a))\/a)\/a)*a**(2\/9) assuming a is positive.\nAnswer: a**(1711\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - (-18)\/30)*10\/8. Which is the second smallest value? (a) 15\/4 (b) 2 (c) 1\/7 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m*r**3 - 110511*m*r**2 - 5*m*r - 45*m - 14*r**3 - 239*r + 3 wrt r.\nAnswer: 6*m*r - 221022*m - 84*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 q when three letters picked without replacement from {b: 4, f: 1, q: 1, u: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, r: 8, e: 5}. What is prob of sequence vr?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - h**2 - 4)*(-4 + h + 4) - 4 + 1843*h - 8*h**3 - 1843*h.\nAnswer: -9*h**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -36133.2 rounded to the nearest 1000?\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 10 - q**3 - q - 20*q - 10*q**2 + 2 + 22*q**2. Let n be m(10). Suppose 0 = -3*r, -b + 19 = 3*r - n. What is the least common multiple of 3 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a = 247 + 404. Sort -3, a, 2 in descending order.\nAnswer: 2, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -54481.405 to the nearest 10.\nAnswer: -54480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2131 + 4219. Let u = -10407\/5 + d. Calculate the common denominator of u and -39\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + 3.3. Let b be 4 + -14 - (295\/(-6))\/5. Sort 113, z, b in decreasing order.\nAnswer: 113, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3)\/l**(-7)*l*l**5*l**3\/l assuming l is positive.\nAnswer: l**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 494984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 275\nAnswer: 3\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3*s**2 + s**2 + s**2 + (-3*s + 0*s + 5*s)*(-1 - s + 1) - 7*s**2 + 2*s**2 + 2*s**2 to the form n*s + j + i*s**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**2*n**3 + a**2*n**2 - 9*a**2*n - 4*a**2 - n**3 wrt n?\nAnswer: 6*a**2*n + 2*a**2 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -0.3, -2\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooeeoon. What is prob of picking 1 o and 1 n?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 49581.95 millimeters in centimeters?\nAnswer: 4958.195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nineteen quarters of a millennium?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -30*w. Let t(d) = -6*d + 8 + 3*d + 60 - 7*d. Let a be t(6). Let q(l) = -a*l + 5*l + 0*l + 2*l. Determine z(q(o)).\nAnswer: 30*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-54)\/8)\/(12\/(-64)). What is the common denominator of (75\/m + -3)*21 and -47\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/433, 2\/11, -2\/19, 0.3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -15*r**2 - 12*r + 4. Let h(f) = 30*f**2 + 25*f - 7. Let k(l) = -7*d(l) - 3*h(l). Is k(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 2*t + 5*t - 49, -f + 2*t - 6 = 0. Let s be (15 + f)\/((-1)\/(-3)). Is 1835*-1*2*s\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 899.\nAnswer: 359.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 0.9. Let d be 2*2\/(-8)*(-8)\/(-10). What is the second biggest value in f, d, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*v**3 - 7*v + 7*v.\nAnswer: 43*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265\/4 - 133\/2*q - 1\/4*q**2 = 0. Calculate q.\nAnswer: -265, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*s = 3*d + 10, s = -3*d + 9. Let y(t) = 7*t**2 - 2*t - 3. Let x be y(3). Calculate the least common multiple of ((-1)\/(-3))\/(2\/x) and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -293 (b) -1.55 (c) 37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-200)\/3300)\/(30\/(-12375))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 73 + -71. Suppose 0 = -o*z + 5*r + 57, 3*r + 55 = -7*z + 9*z. Let y = z + 2. Solve -3*w - 5*t = y, -5*w = -0*t - 3*t - 10 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660473 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 7 = u. Suppose 3*g - 24 = -2*l - 7, 23 = 4*g + 3*l. Let s(t) = t**2 - 4*t + 7. Calculate the least common multiple of s(g) and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -76, 68, -2 in increasing order.\nAnswer: -76, -2, 23, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.651 + -0.001. Let i = 0.64 - w. Which is the second biggest value? (a) 0 (b) i (c) 0.1 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 17 - 2*d**2 + d**2 - 3 - 11.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 328851 and 10919.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 650894572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24880 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10603\/17871 - (-4)\/(-6). Let y = -8\/37 - z. Sort -2, y, -1\/3, -2\/3 in ascending order.\nAnswer: -2, -2\/3, -1\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + j**2 + 3*j)*(-j + 0 + 3*j + 2) + 9*j**3 + 3*j**3 + 0*j**3.\nAnswer: 14*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -9*n + 39. Let j be r(-5). What is the greatest common factor of j and 168?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*d**3 + 65*d**2 - 50*d.\nAnswer: 5*d*(d + 2)*(9*d - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 13. Let n be d(-7). Let t(y) = -y + 38. Does 8 divide t(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 18*t. What is p(15)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20029 = 2*v + 3*i - 4082, 36163 = 3*v + i. Suppose -v = -14*l + 6454. Is l a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 8) to base 10.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2 - 8*k + 5. Let m be z(-5). Let h = 60 + m. What is the units digit of ((-209)\/h)\/(1\/(-5))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-41 - 1)) + 29.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1853.47 rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 9}. What is prob of picking 4 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1296)\/162 - (3\/(-1) + -1 + -2). What is the closest to -1 in 8, -2\/7, -2\/11, m?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 804, -252\/43, -2\/3?\nAnswer: 804","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 107, 137, 167, 197, 227?\n\"Answer: 30*j + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-13\/4)\/c*c)\/c*c**(-2\/5)\/c)\/(c**(1\/9)*((c**19*c)\/c)\/c*c))**5 assuming c is positive.\nAnswer: c**(-4457\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2106*u - 2108*u + 7*o = 78, -4*u + 3*o - 46 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 557*w - 102. Is a(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 12 = -8. Let w(t) = -t**2 - 3 + 6*t**2 + 2*t**2. Let i(z) = -73*z + 1 + 17*z**2 - 35*z**2 + 73*z + 15*z**2. What is u*i(k) - 2*w(k)?\nAnswer: k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1329981.\nAnswer: 3, 19, 23333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -18 (c) -2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - -3)*(-2 - (-2 - -2)). Suppose o*d + 17 = 5*x, -20 = 5*d + 4*x - 9*x. Let v = -28\/9 + 113\/45. Which is the nearest to d? (a) v (b) 4 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*g = 74 - 305 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*w = 227 + 809. Is w a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 5:09 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1)*((6435\/26)\/(-45))\/(-1)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-8 + (10 - (11 - -1)) - -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 - -104. Suppose 4*n = -5*g - 37, 2*g = -2*n - 2*g - 26. Which is the biggest value? (a) o (b) 4\/3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58 (base 15) to base 5.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 5*l**2 + 4*l + 1. Let h be r(5). Let x = 15 - h. Let t = 9 + x. Solve -4*b - t*n = 6, 3*b - 4*n - 7 = 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 120860*l**2 - 66*l. Let v(i) = -5*i. What is k(v(r))?\nAnswer: 3021500*r**2 + 330*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 5*c + 3. Suppose -3*t - d + 11 = 0, 2*t + 0*d + 10 = -5*d. Suppose p - 1 + t = 0. What is f(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -0.16, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*z + 87*z**3 + 276 - 67 - 72 - 68 - 68 in the form x + d*z**2 + f*z + h*z**3 and give f.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pdbefudf. Give prob of sequence eubu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 163405*c**3*n - 765743*n wrt c?\nAnswer: 490215*c**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 21*g + 15. What is y(-20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(-2) - 11\/(-22). Suppose 2 = 5*h - q, -h + 8*q + 10 = 3*q. Suppose 2*p - 3*k - 16 = h, k + 11 = 5*p - 3. Sort -5, 1, p, i in decreasing order.\nAnswer: p, 1, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 289 + -5?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**2*o**2 + 4*d**2 - 5*d*h*o + 65*d*h - 10*h*o**2 + 1244*o**2 - 10*o wrt o?\nAnswer: 2*d**2 - 20*h + 2488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 503, 505, 507, 509?\nAnswer: 511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1155)\/(-66))\/((55\/22)\/(-5)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 159 + -147 + (7 - 8) + 1 + 7?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6*3\/6 + 6. Suppose 2*z + 2*r + r + g = 0, 0 = r - 5. Let m = z - -11. Solve 0 = -4*k + 6 + m for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 422 (base 6) to base 3.\nAnswer: 12212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 266592887 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3894682*l**2 + 12467*l - 131.\nAnswer: 7789364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 times -236?\nAnswer: -8024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 7:11 PM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) -13 (c) 0.08 (d) -4 (e) -70\/3 (f) 1 (g) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 611591483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2553 + 5?\nAnswer: -2547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 441.913 + -404.86. Let l = t + -0.053. Let k = l - 36. Which is the third biggest value? (a) -7\/6 (b) k (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 75?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.9 at most as big as 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - -0.8. Let z = 26.42 - -0.58. Let i = -32 + z. What is the third biggest value in h, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/1646057 and 41\/378?\nAnswer: 88887078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j = 70 + 100. Suppose 0 = -125*r + 127*r + j. Which is the closest to 9\/4? (a) r (b) -1\/2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 + 2293*c + 1496190.\nAnswer: -(c - 2823)*(c + 530)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 + (21 - (28 + 21)) + 13 + 2?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*s + 9976 - 9976.\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41076*s**5 + 49*s**3 + 2*s**2 + 4250*s - 84 wrt s.\nAnswer: 821520*s**3 + 294*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, 0.3, -3, -1\/13, 14, 31?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 447, 859, 1271, 1683, 2095?\nAnswer: 2507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2345309 or 3?\nAnswer: 2345309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 4*k - 3*k)*(-k - 4*k - 13*k).\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -4. Let l = w - -2.95. Let s = l - -0.0488. What is s rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/14 and 15\/72352.\nAnswer: 72352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i**2 + 2*i. Let m(b) = -4*b**2 + 2*b. Let x(h) = 3*g(h) - 4*m(h). What is the units digit of x(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.9 + 3.1. Are 0.2 and q unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 79 - 389 - 3765*i + 310 - 655*i in the form h + o*i and give o.\nAnswer: -4420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.24 - 3.1\nAnswer: -2.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 80 = -2*h - 0*h, -2*h - 80 = -5*z. Suppose 4*l - 5*x + 10 = -4, -l = 5*x + z. Does 11 divide (-2)\/4 - 189\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -9*u**2 + 4587*u + 213849. Give y(-43).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 14*p**2 - 31*p - 14. Let k be u(16). Sort -1, k, 1, -11 in increasing order.\nAnswer: -11, -1, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*g + 16, 2*g + 1 = -4*s - 15. Let q = -0.3 - -0.2. What is the closest to -1 in 4, q, s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*((-2)\/(-3) - 2). Let f = -0.1 - 2.9. What is the third biggest value in -2\/3, f, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2, 3*o + 0*o = -2*r + 428. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xsj when three letters picked without replacement from {s: 6, j: 5, k: 1, x: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.94 + 6. Let q = -57 + 57.06. Let l = q - n. What is the biggest value in 0.2, -0.1, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 70?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 12*u - 20. Let t be p(-14). Suppose -t*b = 19178 + 3638. Let m = -1765 - b. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 148? (a) -1.1 (b) -3 (c) 1\/10 (d) 0.01 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -0.4, -0.1, -2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19125?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 3442*f**2 + 802*f**2 + 4 as o + l*f**2 + v*f and give l.\nAnswer: -2640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 11:07 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 334, 521, 860, 1369, 2066?\n\"Answer: 3*m**3 + 58*m**2 - 8*m + 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - 4*w - 10, 9*w - 5*w + 15 = -3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 4*b - 5 - 5*b + 0.\nAnswer: -b - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 13*s**2 - 6. Suppose z - 10*z = 1071. Let w(h) = 259*h**2 - 119. Let d(y) = z*c(y) + 6*w(y). Let i(p) = 2*p. Determine i(d(r)).\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 12437 = 21*t - 30333. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -67 + -1 - (37 + -3 + (-68 - -27)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 70772074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20074 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(0 + sqrt(85)\/sqrt(5) + sqrt(17) + sqrt(17))*-3 + -1)*-6 + 3)**2 + -3.\nAnswer: -5832*sqrt(17) + 1784670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 z when three letters picked without replacement from {z: 6, r: 7}?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -14. What is the second derivative of 17*t - 23*t - 15*t**4 - t**q - 11*t wrt t?\nAnswer: -192*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y - 1946 + 1946.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31365 - -31381. Let d = -8 + 12. What is the lowest common multiple of v and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/506 and (4767\/(-4048))\/(-7) + 5*(-14)\/385.\nAnswer: 4048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**6\/30 - 4*j**5\/15 + j**4\/2 + 3*j**2 - 2. Let g(c) = 0. Calculate c.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/6)\/(3\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.08, 2, -3\/7, -87?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 858844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18719 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/15*1)\/(4\/(-6)))\/((-3197)\/47955).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.2811068 micrograms?\nAnswer: 281.1068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(-2*a + 4*a - a) + ((2*a - 4*a + 3*a)*(0 - 1 + 0) - 3*a - 2 + 2)*(8 + 7 - 7 - 2 + 1 + 3 + (-3 + 1 + 0)*(-1 - 4 + 4) + 2 - 4 + 1 - 5 + 4 + 2).\nAnswer: -46*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 8 = 8*l. Suppose 5*w = -2*r - 26, r + l*r + 13 = -w. Let p be r - (3 + -7) - (-2 - 2). Solve 0*c + c = p for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -6.06.\nAnswer: -2.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127198?\nAnswer: 2, 63599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(-26))\/(2\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100\/531 + (-273)\/3549 + 17\/(-117).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6268849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 521299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -363 - 878*q + 1762*q - 886*q.\nAnswer: -2*q - 363","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 - 2516142*n**2 - 527837433195*n - 107574150075300.\nAnswer: -3*(n + 204)*(n + 419255)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.38 (b) -3 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*z - 46, 2*z - 3*y - 53 = -15. Let t(b) = 3*b**3 + 2*b**2 + 1. Let m be t(2). Calculate the highest common factor of z and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - ((-174)\/(-10) - (-10)\/(-25)). Let s = q - -117. Calculate the greatest common factor of s and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/(-532) + (-8)\/(-28). Is k less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -242323 + -2?\nAnswer: -242325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/4 + (-6)\/4. Let s(z) = 7*z**3 + 6*z - z - 5*z**2 - 8*z**r - 6. Determine s(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -5*s**2 + 160*s - 155 = 0.\nAnswer: 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 234 and 130.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2631, 4708, 6879, 9192, 11695, 14436?\nAnswer: 17463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 - 68004*p**2 + 801739*p + 163068.\nAnswer: (p - 13589)*(p - 12)*(5*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 975516 and 2926548?\nAnswer: 2926548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1072 is divided by 91.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15362252, 15362251, 15362250, 15362249, 15362248, 15362247?\nAnswer: 15362246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7431199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83249?\nAnswer: 17, 59, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.033? (a) -6\/295 (b) -0.1 (c) -405 (d) 5 (e) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544624 is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) -1 (b) -0.4 (c) -77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - c**2. Let i(d) = 41*d**3 + 146*d**2 - 115*d + 20. Let v(j) = i(j) - 4*u(j). Find p such that v(p) = 0.\nAnswer: -4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 31 - (-1 + -5 - -2). Suppose 32*p + 396 = z*p. Let i = p - 106. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -950 - -567. Let x = 404 + b. Calculate the remainder when 90 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 2*p + 3*x, -1659197 + 1659191 = -5*p - 3*x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 136\/(-204)*2\/((-4)\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 3*f - 6 = -4*n, 0 = -4*n + 3*f - 30 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -5*y + 5 - 5*y - 5*y. Let r(v) = -7*v + 2. Let u be ((-40)\/(-32))\/((-3)\/(-60)). Suppose 27*s = u*s - 12. Give s*m(c) + 13*r(c).\nAnswer: -c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 12*c**2. Let m(g) = g. Let y(d) = -2*d. Let v(r) = 10*m(r) + 4*y(r). What is k(v(b))?\nAnswer: 48*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 6 + 6)*(0*s - 4*s + 0*s)*(3*s**3 + 4*s**3 - 3*s**3).\nAnswer: 32*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8174*c*h*v - c*v**2 + 33*h*v**2 + 18*h - 5*v**2 wrt c?\nAnswer: 8174*h*v - v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 107499372?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -911, -3512, -10609, -24458, -47315, -81436, -129077?\nAnswer: -192494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19134255*k + 4677606 wrt k?\nAnswer: -19134255","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 228229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 155*x**2 - 7*x - 8. Let t be v(-1). Suppose 828 = -t*b + 166*b. What are the prime factors of b?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qcqq. Give prob of picking 2 q.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 5*f + 20. Suppose -f*r - 305 = -1445. Round r to the nearest ten.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 10}. What is prob of picking 2 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 7*w**3. Determine j(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*g = -9759 + 1884, 0 = -3*q + 5*g + 23576. List the prime factors of q.\nAnswer: 7, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 14. Let z = -46 - -66. Suppose -5*f = -z - m. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p**2 - 14*p**2 + 2*p**2 + 2*p**2 + 5*p - 6. Let v(o) = -o**2 + o - 1. Give k(r) - 6*v(r).\nAnswer: r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -295 + 295. Let x(n) = n**2 - 2*n - 5. Calculate x(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -44*l + 26. Suppose -14 = -7*r + 5*r. Let h = 4 + r. Let a(m) = 9*m - 5. Let t(k) = h*a(k) + 2*g(k). Determine t(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/1225 and 31\/20.\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000662433 to the power of 1\/3, to the nearest integer?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 80605090 to the power of 1\/2, to the nearest integer?\nAnswer: 8978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2236 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72 + -39. Suppose -k*o - 3244 = -37*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 11, -4, -156 in descending order.\nAnswer: 11, 1, -4, -5, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 8:35 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 742901 to the power of 1\/2, to the nearest integer?\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g\/(g\/(g\/(g*g\/g**(-1\/3)))))\/g*g)*g*g)**(-1\/53)\/((g*(g**(-2\/7)*g)\/g)\/g)**(-40))**31 assuming g is positive.\nAnswer: g**(-397141\/1113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1163 + -1162. Solve -11 = 4*s - c, -3*s + g = 4*c - 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -50018 and -0.49.\nAnswer: 24508.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13340 - 444569.0683?\nAnswer: -431229.0683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*h - 5. Let i(r) = 13*r - 1. Let g be i(h). Solve -w - 3*w + g = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3734882.\nAnswer: 2, 937, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 33*x + 213. Give r(-12).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -231262 (base 13) to base 5\nAnswer: -203042014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**5 - 77850*p**4 - 757772400*p**3 - 3786916000*p**2.\nAnswer: -2*p**2*(p + 5)*(p + 19460)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21781 is divided by 29.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56011 and 1264?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - -16) + (1 - -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-826)\/(-531))\/7)\/((-72541)\/(-4257) + 4\/22)?\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30359 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -4. Let c = -226 + 227. Sort -3\/7, w, c.\nAnswer: -3\/7, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65180?\nAnswer: 2, 5, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*i - 3319*i**3 - 277 + 257 - 278 wrt i?\nAnswer: -19914*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7*u + 3. Let i(p) = -9*p - 132. What is -i(b) - 2*q(b)?\nAnswer: -5*b + 126","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1521.173 >= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11.821, 3, 4\/3?\nAnswer: 11.821","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c7b4 - -f?\nAnswer: -c7a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 g when two letters picked without replacement from {v: 4, z: 1, g: 3}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8\/21, 0.5, 2, 3 in increasing order.\nAnswer: 8\/21, 0.5, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1034996.\nAnswer: 2, 353, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7999 (base 16) to base 6.\nAnswer: -400041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*b**2 + 12*b**2 - 42*b**2 to the form a + s*b**2 + u*b and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -25. Let f = 19 - y. Calculate the least common multiple of (-3)\/1 - -12 - 0 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1bb842 (base 12) to base 2\nAnswer: -1111001010111110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*v - 19*v - 2*l - 28 = 0, -11*v + 4*l + 71 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrntrn. Give prob of sequence nn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*v**2 - 131*v**2 - 421*v**3 + 418*v**3 - 85*v**2 = 0. What is v?\nAnswer: -60, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + -a4?\nAnswer: -9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 3:49 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2439090 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 625 + 26*i**2 - 1\/2*i**3 - 725\/2*i = 0.\nAnswer: 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.63758 to zero decimal places.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 983 is divided by 896.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/110*(-2)\/(-4)*-1*(-1558)\/82.\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -4*o - 13 + 101, -2*o - m = -47. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1476546 to the power of 1\/2, to the nearest integer?\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -600 - -601. Let r be (7 - 4)*20\/(-15)*a. Let j(m) = -m**3 - 5*m**2 + 2*m + 3. What is j(r)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3914 a factor of 1424992634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 10*m - 70. Let o be t(7). Suppose -7*w + 20*w - 1703 = o. Let i = 36 + -17. Calculate the remainder when w is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 6 + 6. Let o = u - 6. Let z(r) = -3*r - 1. Calculate z(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.978 - -3.90522. What is m rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 105432.7 millimeters?\nAnswer: 105432700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6 (b) -5 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100 and 40?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1561, -6237, -14035, -24961, -39021, -56221, -76567?\nAnswer: -100065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*j - 33*j - 56*j + 180. Solve -4*w = -3*x - 17, -j*w + 1 + 15 = x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -bf?\nAnswer: bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -0.03 (c) -1\/5 (d) 50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 4\/7, 0.1, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 1. Give t(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 193\/19, -0.3, -2.838 in descending order.\nAnswer: 193\/19, -0.3, -2.838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 - 9 - t**5 - 97*t + 22*t**2 - 4*t**2 + 96*t - 9*t**4.\nAnswer: -(t - 1)**2*(t + 1)**2*(t + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**34\/i*i**(8\/13)*i)\/(i**19\/(i*i*(i**(-12\/7)*i*i)\/i*i)) assuming i is positive.\nAnswer: i**(1629\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1114793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 340*i**2 + 10*i + 174. Is 196 a factor of p(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12262817.\nAnswer: 7, 47, 37273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 61575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uv when two letters picked without replacement from vsu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 4*y + 1\/12*y**4 + 0*y**2 + 0 + 0*y**3. Let u(h) = 2*h. Give u(j(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 292005 and 81.\nAnswer: 292005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30\/((-7 - -8)*6\/4). Suppose 3*d = 2*b + 83, 56 = 2*d - 5*b - 14. Solve 15*w = c*w - d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 78 - 76 - (5 + 0). Put 2, n, 1067 in ascending order.\nAnswer: n, 2, 1067","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2837631200?\nAnswer: 2, 5, 3547039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 927.0496 centimeters?\nAnswer: 9270496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 1, -99, -695 in decreasing order.\nAnswer: 11, 1, -99, -695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -d**7\/42 - 3*d**6\/8 - 23*d**5\/12 - 25*d**4\/8 - 16*d**2 - 29*d. Determine z, given that o(z) = 0.\nAnswer: -5, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4608, 19776, 45506, 81792, 128628, 186008?\nAnswer: 253926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - -1) + 11 + (-1 - 2). Suppose o*u = -2*m + 2339, u - 3*u - 1147 = -m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -1.2. Suppose 6 = y - 2*h - h, -h - 2 = 3*y. Suppose y = -4*p - 0*p - 2*v - 4, -3*v - 6 = -3*p. Which is the closest to 4? (a) p (b) t (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 187*b**2 + 12*b**2 + 10*b.\nAnswer: 199*b**2 + 8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of p**4\/6 + 16*p + 11. Let u(n) = 3*n**2 - 6. Let o(k) = k**2 + 1. Let v(z) = 4*o(z) - 2*u(z). What is v(t(w))?\nAnswer: -8*w**4 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -1\/43 (c) 4 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197440 + 240992 = 9293*h - 159*h for h.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*(740\/182 - 4) + 2\/7. Determine j, given that 2\/13*j**2 - w + 0*j = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5169 divided by -3\nAnswer: -1723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -4\/3*x**3 + 0*x**4 + 0*x - 2 + 4\/5*x**5 + 0*x**2. What is the third derivative of u(s) wrt s?\nAnswer: 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3884537992?\nAnswer: 2, 19, 229, 111599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/11 - 16\/(-132)*18. Solve o = -j*h - 14, 32 = -3*o - 4*h - 0*h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 - 0.3. Let h = -0.61377 - -0.61377. Which is the closest to h? (a) y (b) -0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -3*g**2\/2 - g - 37. Let t(i) = -3*i. What is t(l(b))?\nAnswer: 9*b + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(208))*-5*1 - (sqrt(325) + -2 - (sqrt(468) + 3)).\nAnswer: -19*sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*m - 48 = -73*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2*(sqrt(832) + (sqrt(832)*3 + -2 - sqrt(832)) + 2) + -4)**2.\nAnswer: -480*sqrt(13) + 29977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/4)\/((-9)\/6). Let j = 4.4 + -7.4. What is the smallest value in 5, r, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 t when four letters picked without replacement from wwtwwwtwtwwttwww?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 85*m**2 + 13*m + 12. What is the tens digit of y(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5205679 divided by 1\nAnswer: -5205679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lklvkzk. Give prob of sequence zkv.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-4) + ((-198)\/(-12))\/(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {s: 1, b: 2, k: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1324*t**3 + 2941972*t**2 - 1634338772*t + 54310124 = 0. Calculate t.\nAnswer: 11\/331, 1111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -4*5*sqrt(396)*1*-6*2*-3)*-4)**2.\nAnswer: 552960*sqrt(11) + 3284582656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k**2 - 6*k + 16. Let y(i) = 11*i**2 + 13*i - 35. Let z(g) = 13*m(g) + 6*y(g). Let r(h) = 4*h**2 - h - 7. Let o = -6 + 4. What is o*r(l) + 7*z(l)?\nAnswer: -l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1924213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 7591 (b) -0.2 (c) 5 (d) -0.4 (e) -2\/13 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, s: 2, j: 1, y: 1}. Give prob of picking 1 s and 1 y.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2160 = 4*w + 4*i, 2*i = -8*w + 3*w + 2715. Suppose 2*n = 3*n - 4. Suppose k = -n*k + w. What is k rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -725 + 725 + 11*z - 10041*z**2.\nAnswer: -10041*z**2 + 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84, -79, -64, -33, 20, 101, 216?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 6 = 0, 0 = -3*j + k - 0*k + 65. Suppose -j - 55 = -4*u. Suppose -16*r - 9 = -u*r. Solve -4*p + 12 = d, -2*p + r = -5*d - 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96565114?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 21*j**2 - 10*j - 327. Let u(q) = 18*q**2 - 8*q - 328. What is -5*l(v) + 6*u(v)?\nAnswer: 3*v**2 + 2*v - 333","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 115*j**3 + 14*j**3 + 0 + 49*j**3 in the form o*j**2 + i*j + r*j**3 + z and give r.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -6*k + 2. Let s(q) = -5*q + 2. What is 2*h(o) - 3*s(o)?\nAnswer: 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 63615756293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-224)\/5040)\/((-1)\/(-5)). Which is the second biggest value? (a) -4 (b) x (c) 0.3 (d) -1\/2 (e) 42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*a = -174, -4*a + 104 + 12 = 3*h. Suppose 0 = 4*r - 16 - h. Is 11\/2*(1 + r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (24 + 286\/(-13))*39834\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(0 - (1 - 2)). Suppose -4*t + 3*t + 3 = h. Factor -t + 3 - 2*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -20540\nAnswer: 1\/5135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1140 and 86876.\nAnswer: 24759660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2136013 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 29462 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/6 and 69\/88130.\nAnswer: 264390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) -1 (c) -18 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-63) + (-1)\/(-7)*-3. Sort -1, n, 2\/3, -2\/9 in increasing order.\nAnswer: -1, n, -2\/9, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 2*f**2 - f - 1. Let u(t) = 7*t**3 + 12*t**2 + 18*t + 20. Let l(v) = -u(v) - 6*z(v). Does 41 divide l(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4775 + -4771. Put -2, j, -4, -29 in ascending order.\nAnswer: -29, -4, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 10, -128\/17, 0, 2, 1\/7 in descending order.\nAnswer: 10, 2, 1\/7, 0, -1\/4, -128\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 22*v**2 + 1309*v - 6358. Calculate o(-64).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16284 and 23504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2071.2 or 0.3?\nAnswer: -2071.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7644\/146510)\/((-6)\/(-10))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -435*t + 309.\nAnswer: -435","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3600200 rounded to the nearest ten thousand?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 + 99*f**3 + 21*f**2 - 101*f**3.\nAnswer: -2*f**3 + 25*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 1:55 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-91)\/14)\/(1\/20). Let n be 1 + (-800)\/h + -7. Factor 4\/13*p + 14\/13*p**2 + 8\/13*p**3 - n.\nAnswer: 2*(p + 1)**2*(4*p - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + -2 - (3 + -6). Let i = -3 - d. Suppose i = 3*k - k - 20. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2. Let p(y) = -6*y**2 + 3*y - 5. Let l(s) = -p(s) + 5*v(s). Suppose c + 1 + 8 = b, 0 = 2*b + 4*c + 12. Calculate l(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 405, 375, 345, 315?\n\"Answer: -30*t + 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 378138 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 5693 to the nearest one hundred.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4115 divided by 21613.\nAnswer: 4115\/21613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 + 13*v + 115. Let g be (66\/(-44))\/(1\/(-2)). Let f(b) = b**2 - 7*b - 58. Let i(j) = g*s(j) + 5*f(j). Differentiate i(t) with respect to t.\nAnswer: -2*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o**3 - 13*o**2 - 4*o + 2. Let t(f) = -11*f**3 + 27*f**2 + 9*f - 4. Give 9*r(a) + 4*t(a).\nAnswer: a**3 - 9*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from 26.506353.\nAnswer: 26.206353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440 is divided by 89?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -d - 3*g, -d = -0*d - 2*g - 23. Let l be -4 - (-1 - (-1 + 192)). Suppose -y - 4 = y, l = 2*k + y. Calculate the highest common divisor of k and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vpdpvupiugup. What is prob of sequence updg?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 2*a + 2. Let q be l(-3). Suppose q*j + 0 - 7 = 2*p, 3*j = 15. Suppose -2*i - 3*i = -20. Solve -i*h = 5*c + p, 4*h - 2*c + 7 = -5*c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.62 rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 164*i - 44. What is the hundreds digit of u(25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13488 + -13490. Suppose 2*b = 3*m + 12, 0*b + 5*m = -2*b - 20. Put i, b, 35 in increasing order.\nAnswer: i, b, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 47\/3 - 2\/(-6). Suppose b = q + 3*q. Suppose -q = -4*g + 28. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**3 - 98 + 5*i**3 + 98.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2678, 5357, 8038, 10721, 13406, 16093?\nAnswer: 18782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70, 1, -5, 5.\nAnswer: -5, 1, 5, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*m - 16*m - 905081 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3 (b) -0.1 (c) 4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 9*c**2 - 11*c + 13. Let a be p(10). Let m(x) = 0 - x**2 + 1 - a - 4*x + x. Determine m(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 546 and 1047.\nAnswer: 190554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 22 (b) -27 (c) -2 (d) -3 (e) -0.5 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 11*l**2 + 44*l + 135. Let v(q) = 5*q**2 + 22*q + 67. Let y(m) = 9*v(m) - 4*w(m). What is y(-19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 251*l + 2020. Give q(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -424056, -848100, -1272132, -1696146, -2120136, -2544096, -2968020?\n\"Answer: f**3 - 424051*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 22.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((v**2 - 2*v + 2*v)*(-4 + 1 + 1) - 2*v**2 + 0*v**2 + v**2)*(3 - 3 - 2*v)*(-4*v + 18 - 18).\nAnswer: -24*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79285 by 15857.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -2*j + 87. Round j to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 34) + -9 + 49.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o + 4*s = -4*o - 22*o + 156, -4*s + 28 = o for o.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 1)\/((-4)\/(-72)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-12) - (-110)\/(-42). Let o be 1 + ((-744)\/63)\/4. Let j = v - o. Are 2 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(153) + -1).\nAnswer: -3 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1165944 rounded to 4 dps?\nAnswer: 0.1166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.98 + -0.02. Suppose v = f - 3, f - 5*f + 5 = 3*v. Which is the third smallest value? (a) 0.3 (b) f (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q + 5*q = 1113. Suppose 0 = -3*a - 3*f + 67 + 8, 2*a - q = -3*f. What is the remainder when 37 is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**4\/11 + 1024726*r**3\/11 - 5123596*r**2\/11 + 8197736*r\/11 - 372624 = 0?\nAnswer: 1, 2, 512358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.28 - 0.02. Let n = s + 12.7. Suppose o = -3*k + 20, 2*k = -2*o + 2 + 30. Which is the smallest value? (a) 2 (b) -3\/4 (c) n (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/3)\/((-1)\/(-18)). Let x be (40\/(-15))\/((-2)\/n). Suppose -4*g - 5*t = -1, 2*t = 3*t + 3. Solve g*k = 6*k - x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388 + ((-4901)\/(-78))\/29 + (-2)\/12 is divided by 99.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3909532118 to the power of 1\/2, to the nearest integer?\nAnswer: 62526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/13)*p*p**(1\/4)*p*p**(-1\/5)*p**1 assuming p is positive.\nAnswer: p**(753\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -33*s**2*y**4 - 2*s**2*y + 2*s**2 + 2*s wrt y?\nAnswer: -132*s**2*y**3 - 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 4. Which is the closest to k? (a) -3 (b) 2\/7 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -6.7 (b) 7\/4 (c) -2\/11 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45253170, 90506341, 135759510, 181012677?\nAnswer: 226265842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(726)*-6*-3)\/(-3*sqrt(108)\/sqrt(4) - sqrt(135)\/sqrt(20)).\nAnswer: -264*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, t: 9}. Give prob of picking 1 t and 1 f.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 630459?\nAnswer: 3, 70051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 10. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r = 19*r - 432. Suppose 4*v - 100 = -3*q + r, 72 = v - 2*q. Suppose 35 = 2*z - b, 5*z - 43 = -4*b + v. What is the remainder when z is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*f**2\/5 + 11703*f\/5 + 12558\/5 = 0. What is f?\nAnswer: -299, -14\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p - 2*p**3 + 0*p + 11*p**3 + 7*p**3 + 6*p**3 + (-3*p**3 + 0*p**3 + 2*p**3)*(1 + 1 - 3) + 0*p**3 - 5*p**3 + 9*p**3.\nAnswer: 27*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/14 - 1941\/(-21)*-2. Let b = 10021\/56 + m. Calculate the common denominator of 4\/14 - 69\/21 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2472*r**3 + 2*r - 3. What are the prime factors of k(1)?\nAnswer: 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041 less than 657929.1282?\nAnswer: 657929.0872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -263.5 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 0 - -166)*5\/20. What is the third derivative of 34*s**3 - 3*s**2 + s**3 - k*s**2 wrt s?\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 14*f**3\/3 + 3*f**2\/2 - f + 558. Let k(j) = -15*j**2 - 3*j + 1. Determine 4*g(w) + 3*k(w).\nAnswer: 11*w**2 + 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-7) + 2252976804\/84. Suppose 4*b - c = 2*w, w + 13410548 = -3*b - 2*b. Let u = w - -1810568. Round u to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242 + 124 = 25*p + 41. Solve n = 3*x + p - 5, -4*x - 3*n + 11 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 26 = -5*y + 6, 3*h = 2*y + 7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 112 = -4*k - 0*k, 3*k - 180 = -3*s. Suppose 5*j + 3*g - 122 = 0, j + g - 36 = -10. Calculate the remainder when s is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 103 - 10. Let v(w) = 63*w**2 - 2*w + 1. Let t be v(1). What is the greatest common divisor of b and t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -451470 divided by 15049?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + x**2 + x + 3. Let n be r(-3). List the prime factors of (-338)\/n - 4\/(-18).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 times -389?\nAnswer: 47847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 6) in base 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1776 and 999?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) 5 (c) 1\/3 (d) -80\/111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - 0. Let s = y + 9. Suppose s*i - p - 75 = 4*p, i + 3*p = -5. Solve -g + i = -6*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 6. Suppose -4*w + 40 = -0*a - 2*a, -26 = -2*w + 4*a. Let z be h(w). Find the third derivative of -55 + m**3 - 5*m**z + 55 + 6*m**2 wrt m.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 77 (b) -0.172 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161994.\nAnswer: 2, 3, 7, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (9 - 8))*3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78929797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (5 + -5 + -1 + 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 109.\nAnswer: -3\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 = -5*t + 26. Let q = 21 - -119. Suppose -4*f - 5*s = f - q, 0 = 5*f - 3*s - 124. What is the greatest common factor of f and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192 - 480 + 194 + 94 + 314*s**3.\nAnswer: 314*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248*j**2 - 7 + 4 - 1 - 1 - 247*j**2 - 7.\nAnswer: j**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = p + 5*z, 0 = 2*p - 7*p + z for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (-4)\/(4 - 2). Suppose f - 27 = i + i, w = -5*i - 4*f - 35. Let h(k) = k**3 + 11*k**2 - k - 12. Let x be h(i). Put -3, x, 2 in descending order.\nAnswer: 2, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-16)\/20)*(-2)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/12402 and 67\/17108?\nAnswer: 8160516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 5 (b) -8955 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -83592178*2\nAnswer: -167184356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -4.2. Let n = -35\/6 - -25\/6. Let l = n + 4\/3. What is the second smallest value in l, s, 3\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84234 - 16*v**2 + 84234.\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1507 + 3*d + 1566 - 1.\nAnswer: 3*d + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/((930\/(-15))\/(-62)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52460?\nAnswer: 2, 5, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14431.\nAnswer: 14431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179294 is divided by 35858.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -183 - -1649\/9. Let r = 0.1 + 0.1. Put b, 5, r in decreasing order.\nAnswer: 5, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*u, 3*y + u + u - 20 = 0. Suppose a = 3*a + 5*t - 15, -y*t + 26 = 3*a. Calculate the lowest common multiple of 8 and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131180456 to the power of 1\/3, to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -7*n. Let u(j) = 40*j**2 - 2. What is u(b(l))?\nAnswer: 1960*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 447264653?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5741 times 0.1?\nAnswer: 574.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.19298156 + -397\nAnswer: -397.19298156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9463526?\nAnswer: 2, 17, 43, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + k**2 - 8*k - 2 + 0. Let p be x(-10). Suppose p = 5*n - z, -2*n + 35 = 5*z - 43. Does 17 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 17*b + 59. Let n(u) = -3*u + 10. Give -6*k(o) + 34*n(o).\nAnswer: 6*o**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1981 + 49*x + 1981 to the form v*x + b and give v.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208 - 220 = 2*y. Let x(p) = 2*p + 12. Determine x(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + sqrt(448) + -1 + sqrt(448) + sqrt(448) - (sqrt(252)*1 + sqrt(252)))**2.\nAnswer: -40*sqrt(7) + 2801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158182485?\nAnswer: 3, 5, 113, 93323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13115505 or 13115503?\nAnswer: 13115505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/8*2\/(-25)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -180, -5, 156, -90 in ascending order.\nAnswer: -180, -90, -5, 0, 1, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-2\/11))**(-20\/11))**(-4\/5) assuming k is positive.\nAnswer: k**(208\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183086*c**2 - 1 - 7*c**3 + 183086*c**2.\nAnswer: -7*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004440804 rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 3:41 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7104)\/(-64)*1\/(-15)*1?\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*t**4*v - 40*t**2*v**3 - 2*t*v**2 - 181*v**3 wrt t.\nAnswer: -456*t**2*v - 80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2\/9 + 627152*j\/3 + 24582476944.\nAnswer: 4*(j + 235182)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53109 or -1965040\/37?\nAnswer: -1965040\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*5*(sqrt(198) + -3*sqrt(198)))\/(6*-3*sqrt(275)*-2))**2.\nAnswer: 25\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -0.12?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/((2\/(-14))\/1). Let h be t*(-2 + (-6)\/(-4)). Solve 4*y - 1 = -h for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -2055.\nAnswer: 2\/685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*t - 7 = 31, 4*t = -b - 6. Suppose -f + b*f = 156. Solve -3*p = p - f for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(20)\/sqrt(4) + (sqrt(405)*-2 - sqrt(405)))*-3 + (5*-2*sqrt(15))\/(sqrt(12)*3).\nAnswer: 283*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 1. Let q = -1 - k. Let x = 0.13 + 0.17. Put q, x, -2\/9 in descending order.\nAnswer: x, q, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 7 - 26. Let w(t) = t**3 + 8*t**2 - 7*t + 9. Let g be w(-9). Let v = a + g. Solve -v*o = -4*o - 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-15))\/(1 + 117). Let n = -599\/2655 + d. Which is the third biggest value? (a) n (b) -0.4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-285)\/(-190)*2108\/6. Calculate the highest common divisor of 62 and f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 8, -5, 1, 23, -24 in ascending order.\nAnswer: -24, -5, 1, 8, 23, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 7*h - 340. Let b be a(49). What are the prime factors of -3789*3*-3*b\/81?\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -78 + 83. Suppose -5*m + 3*v - 6 = 0, -a*m + 0*m = 5*v - 10. Factor z - 1\/3*z**2 + m.\nAnswer: -z*(z - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, o: 2}. What is prob of picking 1 o and 1 w?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -4*h**5\/3 - 89*h**4\/3 + 7334*h**3\/3 - 12593*h**2\/3 + 3560*h\/3 + 1792\/3 = 0.\nAnswer: -56, -1\/4, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 392741265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/5)\/o**26 assuming o is positive.\nAnswer: o**(-129\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 6*m**2 + 2*m + 1. Let h be t(-1). Suppose 4*x + h*y + 25 + 50 = 0, 3*x = 2*y - 62. Which is greater: 1\/4 or x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13767.44 + 195965699?\nAnswer: 195951931.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + k + 1)*((2*k - 4*k + 4*k)*(-2*k + 5*k - 5*k) - 4*k**2 + 3*k**2 - 3*k**2) as l*k + v*k**2 + y + j*k**3 and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34385.319 + -34370. Let t = 0.661 + p. What is t rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1026*t**5 - t**4 - 12*t**3 - 139253*t.\nAnswer: -20520*t**3 - 12*t**2 - 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, -4225, 3\/8?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 10:17 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (11 - (10 - 9))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32651 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i + 12. What is the remainder when (106\/(-4) + -2)*-2 is divided by h(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c + 367 = 115 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiiiiiigiiiiiiii. Give prob of sequence iigi.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 146?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, 11\/3, 3, 0.0217, -2\/1133?\nAnswer: 0.0217","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*i + 909. Let f = -1351 - i. Let h = -210 - f. List the prime factors of h.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*u**5 + 3*u**2 + 18*u + 2?\nAnswer: 80*u**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r + 2. Let x be (-12)\/10*20\/(-8). Suppose x*k + 4 = -k. Let h be w(k). Solve h*o + o = 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 340 divide 534480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhdhhhdhdhhdh. What is prob of picking 2 d and 1 h?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 665.22 + -659. What is n rounded to 1 dp?\nAnswer: 6.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.2070494 and 0.08 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 31 = -3*d, -w - 4 = -8. Suppose -9 = 2*x - d*x. Suppose -r + 1780 = x*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100903782 to the power of 1\/3, to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -656\nAnswer: -668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 7*m. Suppose m = -h - 5*h. Let j be 0 - 0 - (h + -4). Solve -1 = -j*o - 9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -43 - 21. Which is bigger: s or 14?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*n = -2550, 1720 = 2*x - 0*x - 2*n. Suppose -a = -3*s + 1295, -5*s + 3*s = a - x. What are the prime factors of s?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*o**3*r*y**3 + 5*o**3*y - 9*o**2*r**3 - 2*o*r**3*y**3 - 5*o*r**3*y**2 wrt y?\nAnswer: 42*o**3*r - 12*o*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from illllililiiil?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*d**3 + 76*d**3 - 62*d**3.\nAnswer: -26*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - w = -5*w + 10, -4*w + 9 = -b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57.9 + -58. Is b at most 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 1\/36*u**4 + 8\/3*u**2 - 4\/9*u**3 + 0 - 3*u. Factor i(g).\nAnswer: (g - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 3, 0.087872, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*(0 + -4*sqrt(153)))**2.\nAnswer: 61200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286842578 is divided by 1940.\nAnswer: 1938","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2638.174 and 2170.3668?\nAnswer: 4808.5408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 720309833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -0*w + 2, 4*x - 8 = -2*w. Let h be (27\/(-6))\/((-1)\/(-2)). Let o(n) = -n**3 - 9*n**2 - 2*n - 13. Let p be o(h). Solve -x*t - p + 2 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (300\/(-55))\/(-5)*(-605)\/(-165).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2*x. Suppose -r - 3 - 1 = 0. Let q(h) = h**2 + 4*h + 2. Let d be q(r). Solve g - 5*f = -4, x*g - 3 = d*g - 5*f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -664604.5 to the nearest 10000.\nAnswer: -660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/3*(-4)\/8. What is the closest to -2 in b, -1\/6, -0.1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2 = -z + 7, 2*z = -k + 10. Suppose -5*a = -k*a - 2550. Suppose 3*h + 511 = 2*m, -4*m + 2*m + 4*h = -a. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 84*w - 798. Calculate p(-9).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -10*k**3 + 25. Let p(r) = r**3 - 1. Suppose -128*j + 123*j + 125 = 0. Give j*p(g) + z(g).\nAnswer: 15*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -852*n**2*t + 285*n**2 - n with respect to t.\nAnswer: -852*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1610132, -1610131, -1610130, -1610129, -1610128, -1610127?\n\"Answer: g - 1610133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 4\/7 of a week?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4755848 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from lkjpkklk.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 27320*-9.75\nAnswer: -266370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.82 - -5. Let z = d - -1.72. Let l = z + -1.8. What is the second smallest value in l, 0.4, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 101 - 1977?\nAnswer: -1876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 27, 37, 45, 51, 55?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by 6?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*(-48)\/(-42)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*p - 4*m, -2*p + m + 8 = -8. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 3348*r + 2630885. Give f(1260).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhy when three letters picked without replacement from {q: 2, y: 1, h: 13, w: 1}?\nAnswer: 13\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/5 - (-1)\/(-5). Let k = -63\/4 + 15. What is the nearest to -0.1 in 0, l, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 10*n - 5*y, -28*n + 27*n - 3*y + 20 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1242*h + 27*h - 361*h + 725*h + 460*h)*(h**3 - 2*h**2 + 2*h**2).\nAnswer: 2093*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**2 - 3*y**2 + 125 + 90*y**3 + 112 - 239.\nAnswer: 90*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*t - 233 - 7 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a microgram in nanograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 200. Let c(z) = -z - 413. Give 3*c(n) + 5*j(n).\nAnswer: -3*n - 239","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 8:23 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -969 and -2\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of g**3 + 2*g**2 - 2*g - 1. Suppose -a + 15 = 4*a. Let m be w(a). Solve 7 = d + 4*y, -3*y + m - 8 = -4*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 7) + -6 + 7 + -4 - (-4 + 3)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 373836342 to the power of 1\/2, to the nearest integer?\nAnswer: 19335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllllllwlll. Give prob of picking 3 l.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -21*l**2 + 7. Let f be -1 + ((-36)\/(-90) - (-3 + 186\/(-10))). Let h(n) = -7*n**2 + 2. Determine f*h(j) - 6*t(j).\nAnswer: -21*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 + -1169078161\nAnswer: -1169078161.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1789 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 4 = -s - 1. Solve 27*k = 26*k - 2*o - 2, -s*k + 3*o - 6 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(7)*2 + 2*sqrt(7) + 4)**2 + (sqrt(252) + (sqrt(252) + 0)*-5 + sqrt(252) - (-1 + -1*sqrt(252)))**2.\nAnswer: 8*sqrt(7) + 1137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q + 17. Let u be a(0). Suppose 13*f = u*f. Suppose 2*x + 3 = 7. Solve 5*p + h + 27 = f, 0 = x*h + 4 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)\/sqrt(10) - sqrt(4)) + sqrt(4))\/sqrt(2) + 5 + (sqrt(2)*3)**2.\nAnswer: sqrt(2) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 1294*r + 15. Determine f(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3356, -3539, -3786, -4097, -4472, -4911, -5414?\n\"Answer: -32*d**2 - 87*d - 3237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 104207 + 104172 = -j, -11*y - 171 = -5*j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 16 = -0*j + 2*w, 2*w = -2*j + 14. Let a be 2\/(-2)*j*-1. Is a smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o + 2. Let k be (102\/(-15))\/((-7)\/(-35)). Let u = k + 62. Suppose 30 = 23*m - u*m. Determine q(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 7*y - 0*y + 2*w + 25, 0 = -2*w - 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7359167 rounded to the nearest 10000?\nAnswer: 7360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 + 1. Let o be 65\/55 - (2 + -1). What is the second smallest value in o, 1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -62? (a) 2\/3179 (b) 1\/8 (c) 5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3753 by -9.\nAnswer: -417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -1\/80*v**5 + 0 - 21*v + 1\/24*v**3 + 1\/120*v**6 + 0*v**2 - 1\/48*v**4. Factor m(q).\nAnswer: q*(q - 1)**2*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53534\/(-32103)*-27 - 45?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3 = -l - 1, -5*l = 3*k - 16. Suppose 6*q = -7*w + 10*w + 138, -3*q - w = -69. What is the remainder when q is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**5 + 166*h**4 - 390*h**3 - 10*h**2 + 394*h - 156 = 0.\nAnswer: -1, 1\/2, 1, 2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*g + 18 = -23*g. Let n(u) be the third derivative of -u**4\/24 - u**3\/6 + 2*u**2. Let w be n(-6). Solve 0 = -w*l + g*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 45*j = 44*j + 1, -3*j - 9 = 3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1034 - 0.800533404?\nAnswer: -1034.800533404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide (-1)\/(-4) + -441*3728\/(-192)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 36*j + 694. Let x be i(-19). Let u be ((-8)\/12)\/((-6)\/225). Solve -5*o + u = -x*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4592)\/32)\/(-287)*-13.\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 26?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7\/3, 29, -5, -14.\nAnswer: -14, -5, -7\/3, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 + -3. Let n = -27 - g. Suppose -c + 6 - 4 = n. Is -4 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 326 + 239 = 0. Let q be 352\/(-3) - (700\/(-30))\/10. Let j = u - q. Solve -3*b - 12 = -4*y, -14 = 4*b - y + j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, d: 5}. Give prob of sequence dy.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 14. Suppose j = -3*h + 147 - 30. What is the second derivative of 0*q**5 - 9*q**5 + 41*q - h*q wrt q?\nAnswer: -180*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 618*u + 245 = 625*u. Solve 5*g - c + 16 = 0, u*c = 5*g + 30*c for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/(16\/(-32)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i. Let o(j) = j**3 - 7*j**2 - j + 9. Suppose g + g - 14 = 0. Let x be o(g). Let k(u) = 0*u + x*u + 0*u. Give s(k(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - 5. Let k be (a + 10)*(-78)\/(-4). Suppose k = -4*b + 191. Is 19 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**4 - 1241748*q**3 + 171322729650*q**2 - 7878389871052500*q - 70919386885828125 = 0. Calculate q.\nAnswer: -9, 137975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -51, 2, -5, 13, 4, -4 in decreasing order.\nAnswer: 13, 4, 2, -2, -4, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvvvxvvxvvvvvv. What is prob of picking 1 v and 2 x?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m - 25. Let n(d) = -25. Let f(g) = -3*l(g) + 2*n(g). Let b be f(-7). Let x = -0.1 + 0.5. What is the second smallest value in -26, b, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*p - 3*k = -19 + 252, 0 = 5*p + 5*k + 15. Let v = 9 + -5. Let w = v + -1. Solve -2*x + p = -2*u - 9, -u + 8 = w*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/483?\nAnswer: -1\/483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -832841*k**2 + 265160.\nAnswer: -1665682*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + sqrt(2057) + sqrt(2057)*-2 + 2)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 198*y**3 + 46*y wrt y?\nAnswer: 1188*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from swstxxtw. What is prob of picking 1 x, 2 w, and 1 t?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 - 46*n - 142. Let z be m(-19). Solve -y + k + z = 0, 2*k + 84 = 4*y + 54 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.16 from 5252.2711.\nAnswer: 5252.4311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x - 10. Let z be s(-6). Solve 4*c + c = -5*m, -4*c - 18 = -z*m for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/sqrt(8)*-5 + sqrt(17) + sqrt(17) + 4 + -2 - ((sqrt(17) + 2)*-1 - (sqrt(153) + -4 + sqrt(153))))**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -205b (base 16) to base 6.\nAnswer: -102203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s. Let h(k) = 7022*k**2. Give z(h(r)).\nAnswer: -21066*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 637 is divided by 578?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1. Let x be (-12 - m)*(-1)\/2. Let n(l) = 30*l**2 + 3*l - 8. Let q be n(x). What is q rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, -0.3735, 3?\nAnswer: -0.3735","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c**2*y - 33*c**2 - c*y + 772*y wrt c?\nAnswer: -6*y - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2215201, -2215204, -2215207, -2215210, -2215213, -2215216?\n\"Answer: -3*i - 2215198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 3*s + 3*s)*(0 + 2 + 0)*(-3 + 7 - 3).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6.216406 millimeters?\nAnswer: 6216.406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 12:25 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -2 - (7 - (3 + 6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2596519 and 1667288.\nAnswer: 1567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 15*v**2 - 16*v - 4. Let r = -925 + 911. Give p(r).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/4 - (-2)\/24. Let t be (-1)\/(-2) - (38\/4 + -5). Which is the third biggest value? (a) 0.4 (b) o (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8217 + -148015\/18. What is the common denominator of -14\/15 and i?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1)**(-39\/5)\/(d*d**(-6\/11)\/d*d*d*d*d**1))**(-2\/27) assuming d is positive.\nAnswer: d**(1238\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 53\/5 of a millennium?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.784 and -1.3.\nAnswer: 1.0192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48565813 is divided by 32.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2156 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 8*o**2 + o - 3. Let q be b(8). Suppose -q = 2*p - 11. Solve p*j + 3*u - 3 = 18, 2*j - 2 = 4*u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 6*f + 6. Let y be u(5). Let s be ((-99)\/6)\/(y\/10). Let r = s + 280. Is r a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(14) - sqrt(126)\/sqrt(144))\/(-2*sqrt(63)))*-5.\nAnswer: 5*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of 0*h**3 - 6*h**2 - 1\/6*h**6 - 7\/24*h**4 + 0*h + 0 + 0*h**5. What is the second derivative of q(g) wrt g?\nAnswer: -120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-5)*75\/(-6). Does 8 divide ((-360)\/(-50))\/((-3)\/t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3\/10, -5, -1.2 in descending order.\nAnswer: 3\/10, -1.2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 87827 + 19604.55\nAnswer: 107431.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 0.2 (c) 2 (d) 1\/3 (e) -434\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -155 + 0 + 2 + -93 + 33 + 84?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 2*x - 18, -u - 2*u + 4*x = -14. Let i = -7122 + 7127. Sort u, i, 0.\nAnswer: u, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 52 - -6?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -9*l - 85. Let y be h(-10). Solve -m - 2*m = -3*w - 15, 2*w = y*m - 19 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9 - -4)\/(-10))\/(4 + 1350\/(-336))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in -10, 4, -0.4, -3\/4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6079 + 854058273\nAnswer: 854052194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -21*f - 18*f + 15*f - 5 - 28*f. Suppose -15 = 3*y + 3. Is w(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/27 - (-17)\/(-9). Let g = 19 + -9. Let k = -7 + g. Which is the smallest value? (a) w (b) k (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13787 - 8063. Suppose -15*w + i = -6*w. List the prime factors of w.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4130\/531 - 2\/(-9). Does 6 divide x\/(-1) + 7 + 807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -113\/28312 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 divided by 1.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4 = 2*w, -5*n + 5*w = -70. Let l(c) = -c**2 - 12*c - 2. Let s be l(-12). Let g be (-2)\/n*0 + s. Which is greater: g or -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4 - 42*n**2 - 40*n.\nAnswer: 2*n*(n - 5)*(n + 1)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -119*h. Let d(y) = -79451*y**2 - 2*y - 4. Determine u(d(q)).\nAnswer: 9454669*q**2 + 238*q + 476","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 17 = 31. Let a be (17 + -19)*(-2)\/(-4)*-7. Suppose 80 = h + a*h. What is the least common multiple of f and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -543605?\nAnswer: -543601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 24.82521 centuries?\nAnswer: 29790.252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzztttzztttttztz. What is prob of sequence zzz?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 428342 and 488?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 606, -481, -1484, -2403, -3238, -3989?\nAnswer: -4656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 602, 846, 1554, 2978, 5370, 8982, 14066?\nAnswer: 20874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 - 13*j + 30.\nAnswer: (j - 10)*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + 12131001300?\nAnswer: 12131001222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millennium in decades?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-16)*(-16)\/20*7?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1))\/(271\/(-3794)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (2 - -4) - 5) + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 8*s**2 + 18*s + 7. Calculate a(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by (-304)\/(-20) + (-1)\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.34, 0.041, -5\/4, 4?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 254403140 to the nearest one hundred thousand.\nAnswer: 254400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 140887633?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1.15496 times -0.0416\nAnswer: -0.048046336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 383.3 and 5?\nAnswer: 1916.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 2430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 148 + -153. Let t = 0 - 3. Which is the smallest value? (a) t (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 8 + 24. Let f be (-1)\/(l\/(-2) - -3). Let y = -1 - f. Solve 0 = 3*d - y + 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -9*r + 3. Suppose -9*u + 2*u = 56. What is the units digit of g(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.025211720596 and 9.047.\nAnswer: 9.021788279404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -359 + 510. Let d = g + -169. Do 3 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00035445 rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 3*y - 5, -3*y = -c - 6 + 13 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5*3*(sqrt(170) + 2*sqrt(170)))\/(-6*(sqrt(1210) + sqrt(1210)*1 + sqrt(1210))).\nAnswer: -5*sqrt(17)\/22 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -1262.\nAnswer: -1\/1262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -154.4 - 36.6. Let c = b + 182. Put c, -1\/5, 0.1, -0.4 in descending order.\nAnswer: 0.1, -1\/5, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**2\/5 + 1104828*s + 5524144\/5 = 0. Calculate s.\nAnswer: -1, 1381036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/66 and -131\/43884?\nAnswer: 482724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1.533*16275\nAnswer: 24949.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.05 (b) -40 (c) -4 (d) 0.4 (e) -3.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 9*c + 14. Find the common denominator of s(4) and 54\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -806, -799, -780, -749?\n\"Answer: 6*b**2 - 11*b - 801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - b**2 + b + 2. Let d be h(-2). Suppose 0 = -2*l - 0*l + d. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - k**2 - k + 1. Let m be d(0). Suppose -3*b + 18 = -4*p, 3*b - 1754 = -5*p - 1763. Sort -19, m, -1, p in decreasing order.\nAnswer: m, -1, p, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13386 and 37536.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 323528507.\nAnswer: -323528507.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -19*n**2. Let c(i) = 58*i. Calculate c(m(b)).\nAnswer: -1102*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 - 248 = -18*p. Let f(i) = 14*i - 171. What is the remainder when f(p) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 8*i**2 - i. Let t be n(1). Let k = t + -2. Let g be ((-3)\/(k - 2))\/(-1). Solve -w = -0 + g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2110101000101 + 1012?\nAnswer: -2110100222012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 357 divide 395477711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 52.5, 4 in descending order.\nAnswer: 52.5, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 934614 times -23\nAnswer: -21496122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -1 + -3 + (-10 - 8) + 0\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 11709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.49447680935 and -33.\nAnswer: -31.50552319065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(5 - 1) - -2. Let k = l + 8. Solve 4*n - k + 24 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -3, 5, -57 in decreasing order.\nAnswer: 5, -3, -4, -5, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, f: 1, n: 1, z: 1, t: 1}. Give prob of picking 1 n, 1 t, and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21)\/(-42) - (-3259)\/4*2. Calculate the highest common divisor of 90 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b + 15. Let q = 3 + -9. Let h = q - -11. Does 10 divide z(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 14. Let n(j) = 3*j**2 - j - 29. Let b(g) = 7*f(g) + 3*n(g). Let v be b(6). What is the highest common divisor of 13 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 18*n + 98 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 7376 = 3*k + 7322, 4*k - 80 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-8) - (-105)\/28. Suppose -3*w - 456 = -3*s, o*s - w - 4*w - 456 = 0. What are the prime factors of s?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1207132 to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*r - 63 = -225, 5*m + 3*r - 201 = 0. Find o, given that 3*o**2 - 3*o**4 + 11*o**2 - m*o**3 + 28*o**2 = 0.\nAnswer: -14, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, g: 1, c: 1, q: 7, y: 3, f: 3}. What is prob of sequence fyc?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(304) + 1)**2 - -6*(sqrt(931)*2)**2.\nAnswer: 8*sqrt(19) + 22648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 8) to base 4\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 305882064 a multiple of 4108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hxthzytthtzu. What is prob of sequence ttu?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*n)*(4 + 2552*n - 2 - 4 - 2329*n).\nAnswer: 446*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3578, -7152, -10728, -14306, -17886?\n\"Answer: -l**2 - 3571*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 4*a - 19 + 1, 2*n - 4*a = -10. Is -32 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/3 + 98\/21. Let g(c) = 5*c - 6. Let h be g(n). Find the second derivative of -h*a + 8*a - 7*a**5 + 5*a**5 - 9*a**5 wrt a.\nAnswer: -220*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**4\/5 - 370576*l**3\/5 - 17158779084*l**2\/5 + 652434993872*l\/5 - 6199403592818\/5 = 0. What is l?\nAnswer: -92663, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -26012 (base 15) to base 8\nAnswer: -355255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 154 = 8*v. Let a(g) = -g + 11. Let f be a(v). Put -3, f, -21, -2 in ascending order.\nAnswer: -21, -3, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1152\/14 - (-64)\/(-224). Solve -86 - i = 28*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 738824.1ml?\nAnswer: 738.8241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 171*f - 3 + 177*f - 338*f in the form i*f + m and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6*l - 14. Let c be n(-3). Suppose -4*v - 3*t = -2, -3*v = 5*t - 0 + c. What is the biggest value in -0.5, 0.3, v, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -339415 or -339990?\nAnswer: -339990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88360 and 4136?\nAnswer: 971960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4861*g**3*v**3 - 9*g**3*v**2 + g*v**2 + 17*v wrt v.\nAnswer: -29166*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13949, 27903, 41857, 55811?\n\"Answer: 13954*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 380804154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 divided by -51?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*i**2*j**3 - 99*i**2*j**2 - 1493*i**2 + 183705*i*j**4 + 17*i*j**3 + 47*i*j wrt j.\nAnswer: -42*i**2 + 4408920*i*j + 102*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - f**2 + 2. Let t be d(0). Let z(s) = 50*s**2 - 28*s**t - 26*s**2. Give z(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + -3. Let h be (-2*15\/(-3))\/(-2). Put y, 1, h in ascending order.\nAnswer: h, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/11)\/(456\/1672)*-3. Let m(i) = -1. Let o(g) = 4*g - 12. What is v*o(n) - 22*m(n)?\nAnswer: 8*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.013149 millilitres in litres?\nAnswer: 0.004013149","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**3 - 12836*p**2 + 25666*p - 12832 = 0. Calculate p.\nAnswer: 1, 6416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = -3*t - t. Let c be (-1 - -3)*t\/(-14). Solve -3*w = -s - 6*w, 0 = s - 2*w + c for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 17 = 3*b - 8, b - 23 = -4*d. Let c(j) = 5*j**2 + 4*j + 4. Let u(o) = 9*o**2 + 19 - 44 + 7*o + 32. Calculate b*c(k) - 4*u(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3970 and 350?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (33\/(-110) - (-16)\/20)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 6 + 5*o**3 - 7*o**3 + 3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 380099324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i + 0*i - 40488381*i**2 + 20244213*i**2 + 20244182*i**2.\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, s: 7, p: 4, v: 1}. What is prob of picking 1 p and 2 d?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -8 - (9 - (-6 - -5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 13*g**2 + 2*g - 3. Let x(z) = 231*z**2 - 243*z**2 + 2*z - 7*z + 2 + 4*z. What is 3*x(i) + 2*y(i)?\nAnswer: -10*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d + 3*d - 4*d + (d - d + 2*d - 3*d - 3*d + 5*d + (2*d + 0*d - 4*d)*(3 - 4 + 0) + 2*d - 2*d - 2*d)*(2 - 7 + 4).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 231 - 17786\/77. Which is bigger: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-9)\/k*k*k)\/k*k*k*k)**(-17))**(-3\/4) assuming k is positive.\nAnswer: k**(-153\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (5 - (2 - -3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7586283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 x when three letters picked without replacement from nyyooyohxyox?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -46\/5 in -2\/245, -0.6, -0.4, 21?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 4)\/(54\/28). Let o = 2014133\/3 + -671377. What is s in o - 2\/9*s**3 + 10\/9*s**2 - a*s = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6209, -0.5, -11, 2\/5, -2 in decreasing order.\nAnswer: 6209, 2\/5, -0.5, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/49 + 48\/(-21). Which is smaller: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*n = 29960. What is the remainder when -2 + n\/55 - 2\/(-11) is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -5*q + 5 + 14, -10 = 2*l - 2*q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**4 - 22*v**4 - 3*v**2 + 3*v**3 - 1 + 7*v + 0 + 10*v**4 in the form n*v**2 + z*v**4 + x + i*v + c*v**3 and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-20)*(-8)\/3. Let w be ((-2)\/(-3))\/((-20)\/(-36)). Factor -1\/5*a**4 - w*a**2 - a**3 + x*a + 8\/5.\nAnswer: -(a - 1)*(a + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -169 by 231.\nAnswer: -169\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1657 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 20. Suppose 2 + 11 = f + m, o*m = -f + 28. Solve 4*b + 5*v = 0, f*b + 5*v = 3*b + 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -43 or -21\/15289?\nAnswer: -21\/15289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81 - -83. Sort -0.5, -0.2, y.\nAnswer: -0.5, -0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 12:47 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 42589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*j + 6 - 12 + 7.\nAnswer: 15*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -918*s**2 - 1297*s**2 - 205*s**2 - 535*s**2.\nAnswer: -2955*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 278957074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3d39 + 4?\nAnswer: 3d3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5091 + -10197\/2. Let t be -2 + -16 + 1\/(-1). Calculate the common denominator of 1*-6*t\/(-20) and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19797 divided by 5\nAnswer: -19797\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 15952, -190 in decreasing order.\nAnswer: 15952, 0, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.360653 rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*v + 18*v + 2*v**3 + 13*v - 2 in the form y + p*v + s*v**3 + a*v**2 and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*d - m - 16 = -89*d, 0 = -4*d - 4*m + 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21023860.\nAnswer: 2, 5, 11, 13, 7351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p. Let h(d) be the third derivative of -d**7\/1680 - d**5\/20 - d**2. Let o(g) be the third derivative of h(g). What is o(b(n))?\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -354.73 rounded to the nearest 10?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -5 (b) -0.03 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -s**3\/3 + 197. Let u(m) = -203*m. Give i(u(d)).\nAnswer: -41209*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0153757 less than -31.4?\nAnswer: -31.3846243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 6:08 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c - 2071 = 3*k, -4*c + 4149 = k. Let h = c + -666. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.3 + 18.7. Let x = 19 - w. What is the closest to x in 0.2, -2\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 4, 0, 5 in descending order.\nAnswer: 5, 4, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 16) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 4*o - 40. Suppose -n = x - 0*n + 5, x = 2*n + o. Sort -5, x, 3, -2 in ascending order.\nAnswer: -5, -2, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -104.6 + 93. Let w = -12 - t. What is the second biggest value in 1\/6, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3671589 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1097646 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 11. Suppose 780 = 2*p + 13*p. What is the greatest common divisor of t and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 0.35.\nAnswer: -1.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 b when two letters picked without replacement from {r: 3, q: 9, b: 5, y: 2}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -122, 1\/5, -133.9?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 821603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 124474834 + -3?\nAnswer: 124474831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000254303 to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 25 + 9 = 0. Let o(y) = 3*y**2 + 20*y + 8. Let i be o(-6). Put k, i, -2\/5 in decreasing order.\nAnswer: k, -2\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12436552 is divided by 8280?\nAnswer: 8272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6)\/(26\/(-117)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 792 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 11 = 6*q, -z - 5*q - 120 = -114 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39167509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 122 + -1 + (-7 - -8). Find the second derivative of -g*p + 2*p**2 + 32*p**3 + 12*p - 7*p**2 - 53*p**3 + 31*p**3 wrt p.\nAnswer: 60*p - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.04, -0.5, 1.2, -1\/11, 0.454, 4, -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.9, 0.38, 3, -2\/7 in decreasing order.\nAnswer: 3, 2, 0.9, 0.38, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 323*p + 34490. Give x(-107).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8\/5, 2, -2, -2\/5, -97?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*d + 815*d - 166*d - 169*d - 36*d**2 - 161*d - 165*d.\nAnswer: -36*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 0. Suppose -v*s + 2*s + 480 = 0. Let c be 3*(-2 - s\/(-9)). What is the greatest common factor of 39 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -6*i**2 + 10. Let a(w) = 6*w**2 - 12*w + 12. Let o(g) = 2*g**2 - 5*g + 5. Let f(y) = 5*a(y) - 12*o(y). What is p(f(s))?\nAnswer: -216*s**4 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.0452 or 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -241395 divided by 121\nAnswer: -1995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p*p**(-4))))**(3\/17)*(p*p*(p**(-12)\/p)\/p*p)\/p*(p\/(p*p**12\/p)*p)\/p assuming p is positive.\nAnswer: p**(-400\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 27. Let m be 2*265\/u + 4. Let i = -49 + m. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + -1928.804.\nAnswer: -1894.804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 354 and 4166494?\nAnswer: 737469438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3411*i - 3316*i + 1520 = 0 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16472 - -9692. What is the units digit of 2\/11 + a\/(-220)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00116990062 to 5 dps.\nAnswer: 0.00117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.01377m in centimeters?\nAnswer: 3001.377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(-1 + (-10)\/(-11)). Let y be 6\/(-3)*(-9)\/18. Does y = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 5 (c) -178\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 963411 is divided by 20498?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 2*w - 66, 4*w + 15 = 23. Suppose m*g = 13559 + 19859. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -3*i + 16, 3*i - 5*b + 8 = 15. Let m(h) = 2*h**3 - 6*h**2 + 4*h + 3. Give m(i).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 920, -86, 4 in descending order.\nAnswer: 920, 4, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 5. Let m(n) = t - 2 - 6*n + 4*n. Let y(o) = -3*o. What is y(m(q))?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*q + 42 - 11 = 0, -26 = -4*c - 3*q. Suppose c*k + 2*p = 26, 28*p = 23*p - 10. Solve -k*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 953.\nAnswer: 6671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-55))\/((6\/27)\/(5\/(-3)))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a6416 (base 11) to base 16.\nAnswer: -4d22c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 20 = b, 4*b + 2*c - 8 = 3*b. Suppose 2*f - 7*f + 225 = b. Let s = -4664 + 4676. Calculate the remainder when f is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 7*u - 15. Let n(f) = -f**3 - 15*f**2 + 3. Let y be n(u). Solve -4*c = -4*s, y*s = -4*c + 22 + 13 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 174 = -3*p, 3030*p + 131 = -3*u + 3032*p for u.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**3 + 12*h + 11. Let s be y(-1). Solve 2*m = -3*n - 15, s*m + 2*m + 9 = n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 714.6 and -63 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 812, 0.4?\nAnswer: 812","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(((h*h*h**(-14))\/h)\/h)*(h\/h**8)\/h*h*h)**31)**6 assuming h is positive.\nAnswer: h**1860","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-7*(-66)\/1001) - 32.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -99504504, 3 in decreasing order.\nAnswer: 3, 1\/5, -99504504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 60 + 4 = 0. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 + -28. Suppose l*m = 5*m. Let n be 2\/(-1) - (0 + -5)\/1. Solve -r - g = -m*r, g = n*r - 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 10*r - 7. Let p be f(-9). Determine s so that -s + s**3 - 2*s**3 + 3*s**p - s**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -r**5\/2 + r**3\/2 + r**2 + 7*r. Does 2 divide f(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 88*v - 83*v + 681, -1027 = -3*o + 2*v. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 3:33 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 29750.75 centuries in months?\nAnswer: 35700900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4*v - 9, 4*b - 5 = 5*v. Suppose 3*y - 4*y + 3 = 0. Sort y, b, -2 in increasing order.\nAnswer: -2, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 6*c + 4. Let t(w) be the third derivative of 2*w**5\/15 + 7*w**4\/24 + 5*w**3\/6 + 49*w**2. Let f be t(-1). Give b(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2808a (base 15) to base 6.\nAnswer: 2430204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -21. Let b be 39\/60 + x\/4. Factor 0 - b*z**2 - 4\/5*z.\nAnswer: -2*z*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1420, 871, -66, -1391, -3104?\n\"Answer: -194*a**2 + 33*a + 1581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*c**3*y**4 - 97177*c**3*y - 479366*c**2*y**4 - 2*c - 2*y**2 wrt y.\nAnswer: -192*c**3*y - 11504784*c**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28.7 - -29. Let u = 3.01 - 0.01. Let g = u - 8. Which is the third smallest value? (a) n (b) g (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yww when three letters picked without replacement from kyywykywky.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*n - 17*n**2 - 8*n**2 - 61*n + 9*n.\nAnswer: -25*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n + 140. Let z(s) = -4*s. Calculate h(z(y)).\nAnswer: -16*y + 140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/48 and 21\/15774568.\nAnswer: 94647408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + 6. Suppose 3*j = 4*j + 28. Let t = 52 + j. What is the highest common divisor of t and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -860 - -860.2. What is the closest to -0.2 in -1\/15, -1\/5, c?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t + 3. Determine m(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001929 rounded to 4 dps?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4258159?\nAnswer: 193, 22063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1304845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51753, -103669, -155757, -208023, -260473?\nAnswer: -313113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -405 (base 14) to base 13.\nAnswer: -489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4*y + 2. Let k(u) = 17*u + 1. Let s be k(2). Suppose -3*z - 2*z = s. Let h(t) = 1 + 2*t + 7*t + 3. Calculate z*d(x) + 3*h(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13d + 4?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3197, -3266, -3335?\nAnswer: -3404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.077 * -0.3.\nAnswer: 0.0231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -u**5\/30 - 5*u**4\/24 + u**3 - 15*u. Let k(i) be the second derivative of m(i). Give k(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 35 = -4*q, 3*m - 18 = m - 5*q. Suppose 5*i - m = 1. Let b = -1 - -4. Solve -i = -b*l + l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -105*m**4 - 90221*m**3 + 2*m - 105866608 with respect to m.\nAnswer: -420*m**3 - 270663*m**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-18*17\/816)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 79?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 4*t + 1104 = 0. Let u = t + 569. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-34147.35.\nAnswer: -13658.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29506986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4 - 1) + 3 - 5) + 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wp when two letters picked without replacement from {p: 7, w: 6}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**2\/21 - 1070*t\/7 = 0.\nAnswer: -1605, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-8 - (-17 - -4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 15*c - 214. Let i be y(24). Let q be ((9 - 14) + i)\/(3 + -4). Determine j so that -1\/9*j**q - 8\/3*j + 4 - 11\/9*j**2 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (405\/(-20))\/((-6)\/16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 472, 489, 520, 571, 648, 757, 904?\n\"Answer: k**3 + k**2 + 7*k + 463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 360*k**2 - 56*k + 56. Let t be ((-2)\/4)\/(9\/(-54)). Let s(u) = -19*u**2 + 3*u - 3. Let x(l) = t*o(l) + 56*s(l). Let y(a) = -a**2. Calculate x(y(r)).\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -19 + 13 + -6 - (-3 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105448 and 1614.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 0 + 4 + 4*i + 8*i**2 - 3*i + i**3. Give c(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 303095418.\nAnswer: 2, 3, 50515903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 874 + -593. Sort 1, a, 0.\nAnswer: 0, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 6 = -3*w. Solve -w = 2*r + 2, -3*c = -4*r + 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 65 = 5*u, 2*l + 3*l - u - 71 = 0. Let g be (29 - (3 - 2)) + -2. Let s = g - 22. Solve h + s*h = l for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -u - 3*o, 7*u - 6 = 2*u - 4*o. Suppose u*j - 3*d - 2*d - 129 = 0, -270 = -5*j - 5*d. Calculate the lowest common multiple of 1 and j.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + 11330?\nAnswer: 11314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i, -2*l + 5*l - 2*i = 6. Suppose 4*z = 3*j + 21, -2*z - 3*z + 3 = 4*j. Which is the closest to -2\/3? (a) j (b) l (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brbpsp. What is prob of picking 1 b and 1 p?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3671 divided by 5034?\nAnswer: 3671\/5034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100100011000110101100011 + 1?\nAnswer: 1100100011000110101100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -3 (c) -1 (d) -1\/6 (e) 4 (f) 1.20393 (g) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -2*m**7\/105 + m**6\/15 + m**5\/5 - 4*m**4\/3 + 8*m**3\/3 - m**2 + 60. Find w, given that a(w) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -1. Suppose -w*i - 80 = -3*i. What is the common denominator of -53\/7 and ((-6)\/4)\/(3\/i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d. Let n(c) = c**2 + 10*c + 5. Let y = 31 + -42. Let z be n(y). Let v(i) = 2*i + 7*i - z*i + 6*i. Determine r(v(p)).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(76)*2*3)**2*3 + ((sqrt(152)\/sqrt(128) - (2*sqrt(171) - sqrt(19))) + -4)**2 + -2.\nAnswer: 38*sqrt(19) + 532395\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 160 in 2, 5, -34.8, -0.03, -0.3, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -6*a + 3. Let m(d) = d. Let h(g) = 5*m(g) + r(g). Let w be h(-2). Suppose w*s = s + 28. What is the greatest common divisor of 14 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 427 - 288. What is the remainder when v is divided by 79?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 246178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00045918 to 5 decimal places.\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/34740992 and -33\/197392.\nAnswer: 34740992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2095189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 11:40 AM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h + 2. Let g(d) = 3*d - 3. Let a(x) = -7*c(x) - 5*g(x). Suppose 0 = 7*m - 4*m. Suppose 5*u + m*w = -2*w + 16, 2*u - w = 1. Give a(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3980 rounded to the nearest one hundred?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 3\/((-18)\/(-740))*(-105)\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -7*x**2 - 7*x + 5. Let i be (3 - -7)\/2 - 3. Let p(r) = -4 - 3*r**2 + i + 7*r + 4 - 10*r. What is -5*p(b) + 2*s(b)?\nAnswer: b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t + 7. Let b be h(16). Let y be (-3)\/(-1)*((-40)\/6)\/5. What is the units digit of (y\/(-6))\/(2\/b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-3) - ((-1160)\/12 - 4). What is the common denominator of 23\/64 and (a\/(-16) - -2) + 2\/(-3)?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1056 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/3, 2, -5, 178, -2272, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 0*r - 13*s + 30 = 19*s - 28*s, 0 = -31*s + 186 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5862234254 to the nearest one million.\nAnswer: -5862000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 481 = -630*l - 7480 - 2749 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**3 - 10827*g**2 - 118788*g - 194292 = 0?\nAnswer: -3598, -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*d + 8. Calculate the common denominator of (d*19)\/(-15 - 0) and ((-46)\/1)\/(45\/((-3240)\/96)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c + 443 - 443. Let r(y) be the third derivative of y**4\/24 - 12*y**2. Determine r(k(d)).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 6*h**2 + 9*h - 10. Suppose 0 = -4*p + 11 + 17. What is i(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7\/(-2))\/(1\/2). Let h(f) = 25*f - 4. Let y(j) = -13*j + 2. Let p(i) = z*y(i) - 4*h(i). List the prime factors of p(-4).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*p - 11 = 0, 3*z - 4*p + 16 + 3 = 0. What is the closest to z in -0.03, -2\/3, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -118 + 124 - 3*c - 14*c. Let k(j) = 50*j - 17. Calculate -6*k(z) - 17*w(z).\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.45 - 0.05. Let f be (2 - 3)\/((-3)\/3). Let j be (0\/1)\/(-2 + f). What is the second biggest value in q, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/112*28)\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = 4*k. Let d be (2 - 1)\/(k\/(-5)). Suppose 15 = 5*q - d. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-102)\/(-102) - (1 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, d: 4}. Give prob of picking 1 d and 2 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**4\/7 + 58*p**3\/7 + 242*p**2\/7 - 2442*p\/7 + 3420\/7 = 0.\nAnswer: -19, -15, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2918207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -6. Let s = -9 + l. Sort s, 0.3, 1\/4 in descending order.\nAnswer: s, 0.3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129 - 111 = -3*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -9*k**4\/2 + 20*k + 10. What is the first derivative of h(z) wrt z?\nAnswer: -54*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -d**3\/3 + 5*d**2\/2 - 1. Let p be k(4). Solve 0 = -p*n - n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u**2 + 12. Let v(f) = -8*f - 1601. What is v(d(b))?\nAnswer: 24*b**2 - 1697","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -352.653 + 353. Let o = -0.109 - d. What is o rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 236*n**3 + 1424*n**2\/3 + 724*n\/3 + 8\/3.\nAnswer: 4*(n + 1)**2*(177*n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-810)*-18*(-30)\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*t = -58*t - 16 - 36, 2*l + 576 = -44*t for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270 = 5*y + 5*i, -y - 4*y + 288 = -4*i. What is the greatest common divisor of 7 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -640*u = -1020*u - 39520 for u.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-12)*-15*1. Suppose 0 = 15*o - 35 - r. Suppose -2 = -4*f + w, f - 5*w - 10 = -0. Solve -o*u + u = f for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10772 - 8579. What is the smallest common multiple of l and 27?\nAnswer: 19737","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -111*y + 12 + 157*y - 34 + 137*y. Is t(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30173 and 0.00096?\nAnswer: -28.96608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*k + 101*k**3 + 155*k.\nAnswer: 101*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7.2? (a) 6 (b) -1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.94 + -0.06. Let o be 1\/1 + 5\/(-1). Let d(h) = h**2 + 5*h + 1. Let j be d(o). Which is the nearest to -1\/4? (a) j (b) p (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212346 * 0.1\nAnswer: 21234.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 3327*t = -3325*t + 16, 0 = -2*v - 4*t - 28 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 16914140.\nAnswer: 152227260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4*((sqrt(468) + -1*sqrt(468)*-1 - sqrt(468)) + -2*(sqrt(468) - (sqrt(468) - (sqrt(468) + 0))) + sqrt(468)) + -5)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*w = -23, -4*w + 15 = 5*m - 3*w. Suppose 5*h + 109 = 4*s - 233, -2*s - m*h = -180. Let i = 175 - s. List the prime factors of i.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175 divided by 512409.\nAnswer: 175\/512409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -559735 <= -559749?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2545\/8883 - -1\/1269. What is the closest to d in -0.369, -0.2, -2?\nAnswer: -0.369","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/6*15*3\/25*-2\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 795?\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187549521.\nAnswer: 3, 23, 2718109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.184 in 1\/3, 1360, 156?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 876.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 963*g**4*n + 5033*g**2 + 7937179*g*n wrt g?\nAnswer: 11556*g**2*n + 10066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 197\/38712960 and 17\/15792?\nAnswer: 270990720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -912 = 4*t + 4808. Round t to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -s + 0 - 1\/6*s**3 - 1\/12*s**4 - 3*s**2. Determine h(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -790*r**4 + 757*r**2?\nAnswer: -18960*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 19 = 3*k, 0*a - 7 = -4*k + a. Suppose -4*b + 37 = -3*b - f, b = -k*f + 25. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 4*v + 4. Let t be k(-3). Suppose 5*m - 9 = 2*m. Suppose -t*z + 76 = -m*z. Calculate the remainder when z is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1727770 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 70*k**3*u**3 + 37*k**3*u - k**2 + 37*k*u**2 + 254*u**4 + 3*u**2 wrt u.\nAnswer: 420*k**3 + 6096*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 78?\nAnswer: -7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1812313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7673915 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80 + 76. Let u(j) = -3*j**3 + 2*j**2 + 8*j + 4. Is 49 a factor of u(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6\/5 of a hour?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1563 and -21.12.\nAnswer: 3.301056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-392)\/168*-1*(-3)\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2913.17092522563 - -0.4.\nAnswer: 2913.57092522563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8150 - -2281. Let d = 5839.03 + z. Let o = 27.1 + d. Round o to one decimal place.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + t + 2. Let u be x(0). Let f be -2 + 7 - 39*(-6)\/(-54). Factor -2*i - f - 4\/3*i**u.\nAnswer: -2*(i + 1)*(2*i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.533 - 0.467. Which is smaller: -457 or d?\nAnswer: -457","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 62756892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 12063 and 12046 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/5)*i*(i*i\/(((i*i**(2\/9))\/i)\/i))\/i)**29*((i\/(i\/(i\/((((i*i**(-4))\/i)\/i)\/i))))\/(i**6*i*i))**43 assuming i is positive.\nAnswer: i**(1429\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2) - (-55)\/10. Solve -2*h + 0 = x*y + 8, -4*y = 8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 3 (b) 1\/5 (c) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200994 is divided by 537?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, 1921, 5.\nAnswer: 2, 5, 6, 1921","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + -10 + 27 + (7 - -18 - 6).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 47615395 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2174597329?\nAnswer: 19, 114452491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4940*o = -r + 4936*o + 217, -25*r + 2*o = 83 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 3*l + 2. Let f be t(-4). Let h(a) = -a**3 + 7*a**2 - 8*a + 6. What is h(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-320)\/(-41344)*34)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29124153 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478485 is divided by 95539.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 14. What is the closest to m in 1, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15309657 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((14\/35)\/((-48)\/10))\/((-2)\/30).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1976 and 14120344.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*u - 7 - 5 + 22 - 14*u - 8 to s + y*u and give y.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42902040\/49 or 875552?\nAnswer: 42902040\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20432, 20476, 20556, 20690, 20896, 21192, 21596?\nAnswer: 22126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 40 - 145 = 0. Let t = -1 + c. Let a be 6\/27 - 8\/t. Solve q - 2*v = -q + 4, a = -3*q - 4*v - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**4 - 45497097*p**3 + 206822519*p**2.\nAnswer: 24*p - 272982582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**4 + i**3 + i**2 - i - 1. Let u(d) = -2*d**2 + 1. Let k(x) = -g(x) - u(x). Factor k(v).\nAnswer: -v*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29 + 79 + 2957*l**2 - 7 - 2872*l**2 as a*l + j + o*l**2 and give j.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.11 - 5.99. Let k = u + 4. Let j = k + -0.12013. What is j rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 336 and 25674.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 118\/6*(459\/(-17))\/(981\/109).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {l: 1, b: 2, g: 2, i: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1340674310.\nAnswer: 2, 5, 134067431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 5\/3, 1, -0.03.\nAnswer: -0.2, -0.03, 1, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -49530?\nAnswer: -49530.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 times -225?\nAnswer: 32400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 11*i**3 + 2*i**2 + i + 2. Let x be m(-2). Is -1538*25\/x + (-6)\/(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5581 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 - ((-6 - 0) + (-31 - -30) + 19).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1134710465 and -98245.\nAnswer: -98244.8865289535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2254.30456 rounded to the nearest 10?\nAnswer: -2250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -17\/2*q + 18 - 1\/4*q**2 = 0.\nAnswer: -36, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 729 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 6. Suppose -14 + 6 = c*i. What is the units digit of i\/7 + (-255)\/(-35)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 590 less than 590?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6845164 a multiple of 358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 989?\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 199\/190080 and 91\/29700.\nAnswer: 950400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7000)\/32 - (0 + 2)\/8. Let s = k - -328. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(-1*sqrt(1728) + sqrt(12) - sqrt(12)) + -4 + 0.\nAnswer: -4 - sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -129117 to the nearest 100.\nAnswer: -129100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250 = -8*f + 3*f. Suppose 4*k + 6 - f = 0. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 8. Let h = -34 - -64. Suppose h = -r - 4*r. Which is smaller: r or p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/6)\/((-1)\/39). Let o(m) be the second derivative of m**3\/6 + 3*m**2 + m. Let l be o(7). Calculate the highest common factor of f and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + -1 + 5)*-254. Suppose l - 6*l - 320 = 0. Let f be ((-100)\/8)\/(4 - i\/l). Round f to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -0.127.\nAnswer: -0.127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 3*j - 2. Let d be l(2). List the prime factors of d\/(9\/(-6) + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 363 = -2*y, -10*o - 180 = -y - 8*o. List the prime factors of y.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11)*1)**2 + -5 + sqrt(11) - (sqrt(11)*-2 + -2))*-3.\nAnswer: -9*sqrt(11) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/188937 and 58\/3003?\nAnswer: 27017991","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 138409781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 17 = -5*o, 0 = 4*j - 2 + 6. Is 40 a factor of (-271)\/(-4) + 1\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4283000627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 16*i**2 + 33*i - 39. Is f(17) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -2*a + b + 12, -19*a = -20*a + b. Let h(o) be the third derivative of o**5\/15 + o**4\/8 - o**3\/6 + 2*o**2. Determine h(a).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 155*n - 158*n + 24. Let k = -80 + 116. What is the least common multiple of k and n?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9475.5482 and -3.\nAnswer: 28426.6446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 12*o**2 + 17*o - 29. Let w be t(-10). Calculate the least common multiple of 8 and (-5 - -77) + 5 - w.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.8 - 7.2. Let m = 17.8 + -8.5. Let q = j + m. What is the closest to -1 in q, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*k - 3*t - 12, 12 = 2*k - 2*t. Suppose 0 = -k*w + 522 + 3. Let s = -113 + w. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90, 40, 18, 36, 106, 240, 450, 748?\nAnswer: 1146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**2 - 11*c + 20. What is the remainder when 69 is divided by b(4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14417 (base 15) in base 8?\nAnswer: -177027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2981620 rounded to the nearest 100000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1324, -10379, -34682, -81757, -159128, -274319?\nAnswer: -434854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*k**2*r**3 + 2*k**2 - 3*k*r**3 - 75*k - 13*r**3 + 223*r wrt k.\nAnswer: -16*k*r**3 + 4*k - 3*r**3 - 75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 0, 5*d + 65 = -0*d - 2*r. Let c = -8 - d. Find the third derivative of 7*g**c + 2*g**2 - 13*g**5 + 14*g**5 wrt g.\nAnswer: 480*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 27*z - 3. Let p be h(1). Suppose 5*r = -4*i + 35, r + 2*i - 13 = -0*i. What is the greatest common factor of r and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 24 - -3?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31830 is divided by 205.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -510 by 102.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 4*z - z)*(12*z**3 + 10*z**3 - 3*z**3)*(-13 - 5 + 6).\nAnswer: -456*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157046.\nAnswer: 2, 17, 31, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -86.52 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217 = -2*y + 165. Let p(h) = -100 - 91 + 10*h + y. Let a(j) be the second derivative of -j**3\/2 + j. Give a(p(o)).\nAnswer: -30*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10060, -37308, -82718, -146284, -228000, -327860?\nAnswer: -445858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/(-12)*54\/(-24). Suppose g - j*g + 10 = 0, -3*o = -5*g + 13. Solve -4*l = o*t - 7*l + 9, 4*t = -5*l + 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14966901?\nAnswer: 3, 149, 11161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(418)\/(2*sqrt(11)))\/((sqrt(12)\/sqrt(3))\/sqrt(2)))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 27.5 times 120\nAnswer: 3300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 421871737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y + 213 - 2*y - 213 + 2*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s + 0*s - 11*s + 14*s + 6*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -291.92 - -291. What is the third biggest value in -4, c, -2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63 + -190\/3. What is the nearest to -3 in -2\/9, t, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 103*n - 2875. Let g be b(28). Solve -z + 14 = g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -14942265, -29884543, -44826821, -59769099, -74711377, -89653655?\n\"Answer: -14942278*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8208 and 4050.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -3. Let o = 37 - y. Let f = -9466 + 9472. Solve f = -5*v + o for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2623209ng to kilograms.\nAnswer: 0.0000000000002623209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 75\/20 + 1\/4. Suppose 3*c = -f*m + 106 - 26, 5*m - 123 = 2*c. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 10670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence emx when three letters picked without replacement from tmvmytxxxttymmmvemt.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 618641504 to the nearest integer?\nAnswer: 24873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00151251994 rounded to 7 dps?\nAnswer: -0.0015125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - 23. Let k(s) = 12*s + u + 3*s + s**2 - 4*s - 6*s. What is the tens digit of k(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.50907978 rounded to 3 dps?\nAnswer: 2.509","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of 29*r**7\/210 + 27*r**3 + 118*r**2 - r. What is the derivative of c(h) wrt h?\nAnswer: 116*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 5*i + 20 = 0, -11*f - 5*i + 25 = -15*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218 = -5*s - 2*o - 122, 3*s + 4*o + 204 = 0. Let w be ((-35)\/3)\/(4\/(-36)). Let p = w + s. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 234.\nAnswer: -93.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in 17, 93, 2.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/5 (b) -0.2 (c) -0.5 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15489, -15491, -15493?\nAnswer: -15495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 245*d**2 - d. Suppose -5*b = -b + 4. Let v be f(b). Suppose 3*s - s + v = 5*k, -5*s - 63 = -k. Does 24 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -575, -2296, -5157, -9152, -14275, -20520, -27881?\n\"Answer: b**3 - 576*b**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/36991 or -1\/9?\nAnswer: 6\/36991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176143370?\nAnswer: 2, 5, 13, 1354949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - r = 6. Let n be r\/15 - (-78)\/30. Suppose -1 = -n*h + 59. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -22 + 5 + 7 - 11 - -12 - 20\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -115, -1, 903, -3, 4 in descending order.\nAnswer: 903, 4, -1, -3, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ur when two letters picked without replacement from {u: 1, v: 1, r: 3, i: 2, t: 3}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.157642 to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56652 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*r**2 - 233 + 589 - 5*r**2 - 6*r + 239.\nAnswer: 15*r**2 - 6*r + 595","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s + 17. Let p be c(-7). Let h(t) = -t - 2. Let m be h(-6). Find the third derivative of 2*o**4 + 2*o**2 - 3*o**2 - m*o**4 + p*o**4 wrt o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1 - -2)\/(47 - (6 - -54))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 30 = -5. Let j = f + -2. Let w(h) = -h**3 + 5*h**2 - 3*h + 4. Is w(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j**3 + 4*j**3 + 2*j - 54 + 53 as t*j + l + b*j**3 + i*j**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27716\/17 - -1630. Let f(t) = -t - 1. Let a = -1 + 1. Let s be f(a). Which is bigger: p or s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a second in milliseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-62)\/217 - (-940)\/7. Let k be m\/6*30\/(-10). Let g = 0 + -1. Which is smaller: g or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((3 - -8) + 1)\/(4\/(-20)). Let o be (-11)\/(-3) - 20\/y. What is the third biggest value in o, 2, 5, -1\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26403483 to the power of 1\/2, to the nearest integer?\nAnswer: 5138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u. Let w be m(-4). Factor -9*d**2 + 12*d**4 - 15*d**4 + w*d**3 + 7 - 7.\nAnswer: -3*d**2*(d - 3)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t + 7. Let u be -74*((-2)\/1 - 0). Suppose -u = -21*b - 43. What is m(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 164*z - 173*z + 18 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tag when three letters picked without replacement from tavvg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + ab2c2b?\nAnswer: ab2c2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*i**3 + 10*i - 10*i + 244 - 4*i**4 - 559 + 2*i**3 with respect to i.\nAnswer: -16*i**3 - 30*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 313 divide 28809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 6*f = 2*f - 3, -3 = -3*q + 2*f. Suppose -q - 5 = -3*u. Solve b - u*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 + 2*m**2 + 0*m**2)*(5*m**2 + 50 - 50).\nAnswer: -10*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 495598*x. Let r(d) = -66*d. Calculate r(b(g)).\nAnswer: -32709468*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 10. Let y be m(-7). Solve 3*k = y + 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6005810 or 6005808?\nAnswer: 6005810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1521*g + 1522*g = 2*t + 4, 5*g + t = -24 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 297*r**3\/8 + 897*r**2\/4 + 318*r + 60 = 0.\nAnswer: -4, -20\/11, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cr when two letters picked without replacement from cbbbvzrjjzzcbjb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -9216 bigger than 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -5*o + 222. Let v be (o\/9)\/((-8)\/(-12)). Suppose -2 = -v*c + 8. Calculate the least common multiple of 8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -266 divided by 18.\nAnswer: -133\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*j - 7. Let p = -0.8 + -3.2. Let v = p + 3. Which is the nearest to j? (a) -0.3 (b) v (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.1 and -0.0451826.\nAnswer: -0.09488346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + (-13 + 19 - 17) - (1 + -7) - -3?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*f - 140. Suppose 0 = -4*x - 31 + 443. Let q = x - f. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 1380.\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 6*t**2 - 3*t - 10. Let m(q) = q**3 - 9*q**2 - 9*q - 2. Let h be m(10). Suppose -h*k + 3*k = -40. What is the units digit of d(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + s + 15. Let g be (-4)\/s - 12\/(-18). Let b(y) = -2*y**2 + g + 34*y - 12*y - 18*y. Let l(x) = x**2 - x - 1. Determine -b(z) - 4*l(z).\nAnswer: -2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 1 = -27. Let g(k) = k**2 - 6*k - 6. What is g(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -371.\nAnswer: 5\/371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 0)*(g - g - 2*g)*(-1 + 1 + g) to j + z*g**2 + s*g and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/12 - ((-365)\/4 + -1). Suppose -o + 22 = -7*p. Suppose 0 = p*m - 6*m + 788. Round m to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 450364 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (40 + -119 - -142).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n**2 - 58*n - 13. Let r be a(-19). What is the greatest common divisor of 231 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 18, 16, 18, 30, 58, 108?\n\"Answer: l**3 - 4*l**2 + 3*l + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2285404859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -0.1. Let o = 0.01 + z. Let i = 21284\/3 - 7096. Is o less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(1\/21)*o)\/(o**12*o))\/((o*o*o\/((((o*o**(-2\/3)\/o)\/o)\/o)\/o))\/(o\/o**(-14))) assuming o is positive.\nAnswer: o**(-55\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1060, 8438, 28454, 67426, 131672, 227510, 361258?\n\"Answer: 1053*c**3 + c**2 + 4*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -22?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-10))\/((-17)\/85).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -881370 less than -881320?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12809 - -12816. Solve -g = -8*x - 23 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 6*j**2 - 4*j. Let g be q(5). Suppose -g*p + 3 = -7. Suppose -3*x = 4*u - 17, 2*u - 3*x + 11 = 2*x. Is p smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**5 - 3752*y**4 - 857056*y**3 + 10681912*y**2 - 35091100*y + 25270000 = 0. Calculate y.\nAnswer: -475, 1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -3, 4, -513, -16 in decreasing order.\nAnswer: 4, -1, -2, -3, -16, -513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-234260)\/4134*(-9)\/(-15).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 - 51. Let h(a) be the first derivative of -a + w + 1\/2*a**2. Find the first derivative of h(c) wrt c.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000010010 (base 2) to base 4\nAnswer: 20102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(1584)*2 - sqrt(1584)) + 0)**2.\nAnswer: -72*sqrt(11) + 1593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84 - ((-11)\/(-2))\/11*-14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 13*x**2 + 0 + 2 + 49*x - 38*x. Let y be k(-8). Is y\/4 - 8\/(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**2\/5 - 8335796*t\/5 - 16671596\/5 = 0. What is t?\nAnswer: -2, 8335798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s - 13. Let i be j(-6). Calculate the greatest common divisor of i and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, h: 1, q: 2, m: 1, f: 1, p: 1}. What is prob of sequence hf?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + d - 4*d)*(2 - 2 - d**2) + (-2*d**2 + 5*d**2 - 4*d**2)*(4 + d - 4) + 0*d**3 + 0*d**3 - 2*d**3 - 3*d**3 + 0*d**3 + d**3 - d**3 - 3*d**3 - 3*d**3.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2580 - 1181. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -1. Suppose 52 = w*k - 24. Suppose 3*c - 384 = -3*x, -3*x + 4 - k = 0. What is the greatest common factor of 19 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 85 and 50.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = y - 5, 0*y + 5*y + 10 = -2*r. Suppose 2*a = z + 2229, y*z = 4*a + 5*z - 4465. List the prime factors of a.\nAnswer: 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + w**4 + 0*w)*(-76*w - 39*w + 139*w) - 3*w**5 + w**5 + 0 - 3 - 2*w**2.\nAnswer: 22*w**5 - 2*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.9 - -0.168.\nAnswer: 3.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 + 5*g - 3. Let p be o(-5). Suppose -5*z + 4*y = -p, 5*y + 9 = 2*y. Let c = 9 - 5. What is the greatest common divisor of z and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -2 (c) -4\/43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 130 + -128. Suppose 2*u = -f*u + 3*u. Suppose 2*d + 8 = 3*r, u*r = -r - 3*d + 21. Solve -3*h + r*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3757 + -0.0683. What is u rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 6*b + 2. Suppose 4*g + 5 = 3*t + 32, t + 14 = 3*g. Suppose -g*f - 8 = -5*f, n + 5*f = 27. Calculate v(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, y: 1, z: 6, t: 3, n: 3}. Give prob of sequence nzz.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2788 = -5*w + 13114, 3*d = -5*w + 15878. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 13 = 29. Let y(j) be the second derivative of -j - 1\/2*j**i + 0*j**2 + 1\/6*j**4 + 0. What is the second derivative of y(r) wrt r?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 106934593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1645?\nAnswer: 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*b - 41*b + 5 = -3*s, 4*s = b + 25. Solve 0 = 5*u - 5*l - 25, 13 = u - s*l - 0*l for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12185393?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a - 2. Let o be r(-6). Let f be 14\/12*-22 + 3\/(-9). Let b = f + 34. Solve -2*q + o*q = b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 81300 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 101371*m*n*o**2 + m*o + 2*n*o - 21*o**2 - 5313*o wrt n.\nAnswer: 101371*m*o**2 + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1211 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hann when four letters picked without replacement from {n: 2, a: 1, h: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/5740 and -47\/1346?\nAnswer: 3863020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(-2 - (16 - -1)). Let u(o) = o**3 - 7*o**2 + 8*o - 8. Let y be u(6). Suppose -y*c + s = -3. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2735?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 16. Let f = p - -8. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8498448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2246017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 2*h + 25, 3*u + 4645*h = 4606*h - 204 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -145 + 144.99991. What is b rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2727731 is divided by 78.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express j - 3 + 4*j**3 - 1 + 0 - 3*j**3 as v + g*j + h*j**2 + y*j**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 864\/4 + 5 + -11. Let k be ((-12)\/30)\/((-28)\/g). Factor -24\/7*v**2 - 2\/7*v**k + 0 - 72\/7*v.\nAnswer: -2*v*(v + 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21602911*a*w**3 - 3*a*w**2 - w**2 - 1653846 wrt w.\nAnswer: -129617466*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 4*h**2 + h - 2. Let m be w(4). Suppose -4 + m = -f. What are the prime factors of (-1)\/((f\/(-26))\/1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1586 and 1976?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4\/7 + 536*n**3\/7 + 35372*n**2\/7 - 72360*n\/7 + 36450\/7.\nAnswer: 2*(n - 1)**2*(n + 135)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/15 (b) -3\/5 (c) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14161 - 8250. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89509.\nAnswer: 7, 19, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 + 43. Solve 2*o - 4*z + h = 0, 10 = -z + 6*z for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-4)*(-8)\/3. Let s = -1 - i. Suppose s*l = -0*l + 63. Is l a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1751208974 to the nearest integer?\nAnswer: 41847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 0. Suppose -j*s = -2*r - 316, 3*r + 79 = s + r. Suppose 4*y - 81 = 2*q - 23, -4*y - 5*q = -s. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1293951 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-42))\/(2\/4*1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, s: 3}. Give prob of picking 1 s and 1 t.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 11:17 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336 = 4*h + 301*i - 296*i, -7*h - 3*i = 4*h - 12*h - 205 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -793 and 0.02.\nAnswer: -792.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49972907?\nAnswer: 19, 2630153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 29*a**2 + 26*a - 47. Let o be d(-28). Let r(g) = -g**2 + 8*g + 2. Calculate r(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.17 + 0.27. What is the smallest value in 2, 6, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/3)\/(11\/(198\/(-12)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 7999962 - 7999962 + 4897*s in the form d*s + t and give d.\nAnswer: 4897","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -20204 * 8\nAnswer: -161632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387182.\nAnswer: 2, 19, 23, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8269619 or -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 8*q**2 + 8*q - 12. Let x(w) = w**3 - 10*w**2 + 8*w. Let z be ((-18)\/15)\/((-28)\/(-15) - 2). Let t be x(z). Determine b(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 318\/(-16) - (-34 - -75)\/328.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -52667 divided by -4\nAnswer: 52667\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5661*w**4 + 10*w - 2845*w**4 - 2840*w**4)*(4 - 4 - 3) to d*w**4 + z*w**2 + x + k*w + u*w**3 and give k.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 653 (base 12) in base 8?\nAnswer: 1637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z - 4*z + 5*z)*(2 + 3 - 3) + (-5 + 3 + 3)*(-3*z - 3*z - z).\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-288)*(-486)\/(-58). Let j = 21\/29 + l. Let w = 0.35 + -0.05. Which is the smallest value? (a) j (b) w (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 411424 and 3071834?\nAnswer: 1978","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-40))\/((-1)\/((-30)\/(-48))).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - 32. Suppose 2 = -u*w - 1. Is w\/2 - (-1071)\/14 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84429421?\nAnswer: 971, 86951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i\/(i*i**(4\/3)))*i*i)**(1\/34)*i**(-2\/39)\/i**(-1\/2) assuming i is positive.\nAnswer: i**(803\/1326)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 + (71 - 3) - -20.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -10*m - 63. Is 7 a factor of z(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*k - 2*k + 74, -2*k - 260 = -5*u. Let n = 49 - u. Let y(p) = -p**3 - 5*p**2 - 2*p - 3. Let b be y(n). Is b at most 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + k**2 + 3*k**2)*(4*k - 2*k - k)*(5576 - 307 - 2346).\nAnswer: 14615*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13405 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 19. Let s be (-10)\/(-3 - 4\/(-2)). Let k = s + -6. Solve -3*v + k - 8 = -5*h, -3*v + h + c = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010000100 (base 2) to base 8.\nAnswer: -2204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 274836159 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from 33.18821.\nAnswer: 33.68821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2*h - 13, 7*f - 5*h = 3*f + 37. Solve -d + 0*d = i - 4, -3 = f*d - 2*i for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 471*x**2 + 142*x wrt x.\nAnswer: 942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -12 + 163*h - 91 + 63*h. Is q(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.55 + -0.5. Let l = 0.05 + g. Are 0.2 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -46*d**2 - 5*d - 1. Let v(b) = 97*b**2 + 9*b + 1. Give -5*j(y) - 3*v(y).\nAnswer: -61*y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((255\/2)\/5)\/((-12)\/(-16)). Let k(d) = -d + 8*d**3 + v - 21*d**3 + d**2 + 12*d**3. Does 5 divide k(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -6*x + 48. Let b be 496 - 0\/(1 + -3 - 0). Let w = -464 + b. Calculate the greatest common divisor of w and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 21912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 971 (b) -90 (c) 1 (d) -2\/9 (e) 12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71125 = -31*n - 71714 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350988 is divided by 1838.\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.156 times 0.4?\nAnswer: -12.0624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -17348270 - 2105\nAnswer: -17350375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -11*q - 3. Let v(k) = -4*k - 1. Calculate -3*d(m) + 8*v(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oohhhoohoo. Give prob of picking 1 o and 1 h.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14695193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - -1939.\nAnswer: 1939.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4301696 from -5.\nAnswer: -4301701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -111*l + 120*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -17*k - 1. Calculate s(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most as big as -805?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11 (b) -9 (c) -4 (d) 2.697\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x - 6. Let v be h(-6). Let f = 78069\/58 - 1346. Are f and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1985581679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7684 divided by 3842\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/4050 and -49\/1620.\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 255720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-74)\/(-77700)*1335 - (-6)\/(-5)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y - 30. Let b(l) = -l + 9. Let a(x) = 10*b(x) + 3*f(x). Let q(d) = -11*d. Calculate q(a(g)).\nAnswer: -22*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*y - 3*w + w, -5*y + 5 = -4*w. Let s be ((-33)\/15 + y)\/(16\/(-40)). Solve r - s - 1 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14, -34, -60, -92, -130, -174, -224?\n\"Answer: -3*k**2 - 11*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*f - 221. What is the highest common divisor of f and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -8*u**5 + 154*u**4 - 350*u**3 - 2442*u**2 + 630*u = 0.\nAnswer: -3, 0, 1\/4, 7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*f - 134, -g + 4*f = f - 41. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 - 7. Let x = z - -32. Let m = x - -13. Which is the closest to 0? (a) m (b) -0.2 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15417419123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6288\/5 + 1257. Let d = 9 + -8.5. Which is the nearest to p? (a) d (b) -1 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 0*k - 2*k + 20, -u + 16 = 3*k. Let t(r) = r**3 - 4*r**2 + 3*r - 6. Let x be t(u). Let n = x + 1. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2540*d**3 - 3522*d**2 wrt d.\nAnswer: -15240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15115116667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 8*b**2 - 9*b + 14. Let m be f(6). Suppose 4*l = 4*k - 3*k - m, -3*k + 3*l + 105 = 0. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 11. Let m be z(0). Let u(b) = -13*b**2 + 2 - m + 0. Let f(g) = -3*g**2 - 2. Give -9*f(y) + 2*u(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllllljllll. What is prob of picking 2 l?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -9\/2. Let z = -132 + 128. Which is the closest to 1? (a) -0.14 (b) z (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -18*c - 106. Let y(i) = 10*i + 53. What is 4*s(a) + 7*y(a)?\nAnswer: -2*a - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**3 + 84*j**2 + 84*j - 9. Determine y(-41).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -x**4\/4 + x**3\/3 + x**2\/2 - 19*x + 99. Determine v(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 4795.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4408*x**3 - 4003*x**2 wrt x.\nAnswer: -26448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -4*k + 2*c, 0*c = 4*k - c - 33. What is the remainder when 48\/(-10)*20\/(-3) is divided by 3\/21*k - 1*-16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -622*w + 618*w + 291888, -3*w - 73008 = -q. List the prime factors of q.\nAnswer: 3, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 17\/(3\/33*11). Suppose 0 = 7*v - 5*v - 38. Which is smaller: o or v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 81 = -7*c. Suppose -4*a + a = 3*i - 72, 0 = 4*i - 16. Calculate the greatest common factor of c and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5943106 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114711 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-100*n + 201*n + 129*n)*(3*n - 2*n + 0*n + (n + 4*n - 3*n)*(-1 - 3 + 3) - 4*n - n + 3*n).\nAnswer: -690*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -b + 30. Let r(a) be the second derivative of -1\/6*a**3 + 3*a**2 + 11*a + 0. Calculate 3*o(m) + r(m).\nAnswer: -m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 7*k**2 + 8*k + 3. Let a be b(8). Suppose -g + 3*r + 2 = 0, a*g + 3 = -g + r. Is 9 a factor of (-6)\/(-2)*(-6)\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3371 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 121?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -5, 5, -0.5, 0.87?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 6*p**2 - 8*p + 7. Let d be v(-7). Suppose -2 = -4*c + d. Factor -1\/2*h + 0 - 2*h**c + 7\/2*h**3 - h**2.\nAnswer: -h*(h - 1)**2*(4*h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1955661840 to the nearest 1000000.\nAnswer: 1956000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-9)*v*v*v**6*v*(v*v**1\/v)**(-2\/31))\/((v\/(v*v\/(((v\/v**(3\/4))\/v)\/v)))\/(v\/(v**(-1\/24)*v)))**8 assuming v is positive.\nAnswer: v**(3838\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -12.14 at least as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-3\/11)*t)**(14\/13))**(-21) assuming t is positive.\nAnswer: t**(-5586\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 + 4?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 1:42 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**3 - 7*j**3 + 2208*j**2 + 295*j**2 + 2262*j**2.\nAnswer: -10*j**3 + 4765*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13 + (5 + -11)*1. Let d(w) be the first derivative of 0*w + 7\/2*w**2 + q. Let j(m) = m. Give d(j(n)).\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 3*b + 8. Determine k(-6).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 + -10 + -12 + -3 + 5 + 10.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -97*s + 2*s**3 - 1040*s - 2*s**2 - 2*s**4 - 2 - 390*s as m*s**4 + h + p*s**2 + x*s**3 + l*s and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 352 and 8?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p - 3*p + 14 + 2*p + 9. Let v be t(-6). Let l(g) = -2*g - 6*g**2 + g**3 + 8*g + 3 - 9. What is l(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (100\/10)\/(-40)*8\/6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 844008?\nAnswer: -4220040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 174429, 174428, 174417, 174390, 174341, 174264, 174153?\n\"Answer: -i**3 + i**2 + 3*i + 174426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -24 (b) 1189 (c) 1\/4 (d) 66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eight fifteenths of a day?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4216*c**2 - c - 6. Let x(n) = 90*n**2. What is d(x(p))?\nAnswer: -34149600*p**4 - 90*p**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (137\/274)\/(1\/(-14))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 260829715 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oi when two letters picked without replacement from {i: 2, s: 4, o: 2, n: 2}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 27510, 52872, 78230, 103584, 128934, 154280, 179622?\n\"Answer: -2*u**2 + 25368*u + 2144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6379582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 65*y - 57. List the prime factors of b(15).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w**2 + 7*w - 29. Let z be m(9). Suppose -o = 2*j + 3*o - z, -o = -2*j + 373. What is the highest common divisor of 148 and j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 - 7*v + (-5 - 3 + 4)*(v - 1 + 1) to m + w*v and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**4\/6 - 14*g**3\/3 + 20*g**2. Let x be a(8). Is x <= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000116607 to seven decimal places.\nAnswer: 0.0000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -57*z. Let p(c) = 20*c - 33. Let m be p(5). Let f = m - 67. Let y(a) = f*a + a + a. Determine y(v(x)).\nAnswer: -114*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -19\/40*l**5 + 8*l - 1\/4*l**6 + 5\/24*l**4 + 7\/12*l**3 + 0 - 1\/2*l**2. Solve g(c) = 0 for c.\nAnswer: -1, 1\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1175 = 552*u + 623*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37451857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.04 + -3.54. Which is the smallest value? (a) 5 (b) -5 (c) q (d) 11 (e) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1284129 and 50031.\nAnswer: 3852387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13922372 * -3.\nAnswer: -41767116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -916, -4, -4007, 5 in descending order.\nAnswer: 5, 0, -4, -916, -4007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11526487*r**2 - r - 63345530?\nAnswer: 23052974*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 5*h = -2*b + 78, -5*b - h + 141 = 0. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -22)\/5 - -11. Suppose -6*z = 3*q - a*z - 756, -4*q + 2*z + 1010 = 0. List the prime factors of q.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + 5 - -5) + -19 + (-4 - 0)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + w - 35 = -j, 5*w + 34 = 4*j. Let n = j + -7. Suppose -2*y = -n*y + 40. Solve 0*s = 5*s + y for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20064590527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 + (-2 - -3 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 18 = 7*b - 11*b, -3*b = 3*q + 12 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23.08766 - -0.02234. Let l = 23 - h. Round l to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*c - 103 = c, 0 = -g + 2*c + 118. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112351 and 1981.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 4*d - 33*v + 34*v, d - 2*v = 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -78, 5, 2\/9, 0, 3, -48?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00139920996 to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4 + 14892*p**3 + 222930*p**2 + 1113900*p + 1855875.\nAnswer: 3*(p + 5)**3*(p + 4949)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lldllrfrdldldllkdl. What is prob of sequence rkl?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -651 + 694. Solve -t = -i + 44 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 8*z**3 + 8*z**2 - 5*z**3 - 7*z + 21 + 0*z**2 - 4*z**3. Calculate the smallest common multiple of 12 and p(7).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2088.4 + 3107155.\nAnswer: 3109243.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 496 and 31.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c + 139 = 127 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by -8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - n + n)*(-240 + 240 - 24*n + (-4 + 4 + n)*(-5 + 2 + 5)).\nAnswer: 22*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 338 divided by 4174.\nAnswer: 169\/2087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14, 152, 304, 476, 674, 904, 1172?\n\"Answer: u**3 + u**2 + 128*u - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 less than 57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4\/23)*t**(22\/9))\/(t**(-1\/7)\/(t\/(t\/(t*t*t*t**(-2)*t)))) assuming t is positive.\nAnswer: t**(6395\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, w: 2, m: 2}. Give prob of sequence mwc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*y + 408 = -27*y. Is y a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + -38.50415169.\nAnswer: 10.49584831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-6)\/(v\/v**(-2\/19)))\/(v**31\/(v*v**(18\/7))))**(-12) assuming v is positive.\nAnswer: v**(55116\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-234)\/(-2223) - -89*1\/(-1026))*89\/178\nAnswer: 1\/108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 1:22 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11 (b) 3 (c) -1\/55 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -3 + -5 - (-6 - -11) - -17\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -23*s - 1. Let p be o(-2). Let q = -21 + 36. What is the greatest common divisor of p and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -78117, -78419, -78737, -79077, -79445, -79847, -80289, -80777?\n\"Answer: -k**3 - 2*k**2 - 289*k - 77825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (42 - 2) - -11 - (102 - 7)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 - -41. Let f be 8\/(-12)*(-24)\/i. Solve -6 = -2*b + f for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33809 divided by -9024.\nAnswer: 33809\/9024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2.98 * -2\nAnswer: -5.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100\/126 - 120\/210.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58)\/(-23)*5296\/(-153584)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*q + 10. Suppose q = -v + 8. Suppose -3*h + 6*h = 48. What is the remainder when h is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1393, 1933, 2475, 3019, 3565, 4113, 4663?\n\"Answer: o**2 + 537*o + 855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 6*h - 23. Let i be 2*5 - (7 - h). Suppose i*m - 209 = -2*b + 36, -4*b = -4*m + 196. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 9 + 0 = -3*r, 3*r + 3 = 0. Let m = 0 + 0.1. Let f = -2388 + 2389. Put -2\/7, f, u, m in descending order.\nAnswer: f, m, -2\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -461 + 471. Let k = -2 - -4. Suppose 4*t + 64 = d, 3*d + 54 = 4*d - k*t. What is the remainder when d is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -96, -85, -74, -63?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from efebffebfblebbeelb. Give prob of picking 1 e, 1 l, and 2 b.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 356\/(-52) + 6\/(-39). Let p be 2\/9 - (-56)\/(-9). Let m be p\/(-5)*5\/x. Is m at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3b6 + -a4b3?\nAnswer: -a0db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28563 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2694.2 take away 14185428371?\nAnswer: -14185425676.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/140)\/(6\/(-7)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 22*s + 6. Is 8 a factor of a(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -1549*m - 120. Is g(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 4*w**2 + 25*w. Let o(u) = -5*u**2 - 25*u. Determine -3*c(z) - 2*o(z).\nAnswer: 3*z**3 - 2*z**2 - 25*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d + 2*d - 14 - 2*d + d. What is the lowest common multiple of 14 and f(-6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxs when three letters picked without replacement from xxxorsffuoxxofs?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 10:00 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -520*0.2\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2 - 3*a + 0 + 6*a**2 - a**3 - 2. Let f be v(2). What is the common denominator of 77\/2 and (-21)\/f*9\/(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -266 + 418. Let j = -76 + i. Calculate the remainder when j is divided by 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times -4752.437?\nAnswer: 2851.4622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a + 1. Let r be 5\/115 + (-888)\/851. Let q(z) = -2*z + 6. Calculate r*q(w) + 5*s(w).\nAnswer: 7*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20038425749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b + 8. Let o be n(18). Let x be (-3507)\/(-15) - (-8 + (-78)\/(-10)). What is the highest common divisor of x and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 119036 * 5025.\nAnswer: 598155900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -921*l**2 + 31 - 31.\nAnswer: -921*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23899?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 2\/7 (c) 29\/349 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 750 = -8*i. Suppose 0 = 9*k - 3*k - i. Calculate the remainder when 74 is divided by k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39521 to the power of 1\/2, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 28992482 - 2?\nAnswer: 28992480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-240)\/180)\/(-1 - 10\/(-6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.35 + -0.05. Let i = 1.2 + 13.8. Let c = -17 + i. What is the second biggest value in a, c, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3 + 8620*o - 8623*o + 6. Let f(a) = -4*a + 10. What is 5*f(m) - 6*u(m)?\nAnswer: -2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2\/4 - 831940*d + 138424832720.\nAnswer: 5*(d - 332776)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2 - 10 = 0. Suppose -w = 2*n + 40, -2*n + 76 = -2*w + 26. Let q be 36\/w*(-5)\/o. Sort 1, q, 5 in decreasing order.\nAnswer: 5, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 133 + -133. Solve -2*l = -q*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5*(sqrt(27) - sqrt(432))\/sqrt(9))**2.\nAnswer: -120*sqrt(3) + 691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15 + 15 - 2*x - x**3 + (7*x**3 - 4*x**3 - 4*x**3)*(1 - 3 + 3) - x**3 - 2 + 2.\nAnswer: -3*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2 = -8. Let v = -6 + q. Suppose 0 = o + v*u - 6, -3*o + 3*u - 10 = u. Is -2 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + -4 - (34092*1)\/(-6). Suppose 0 = 5*h - 2*h - 4*a - p, 0 = -h + 5*a + 1875. Round h to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**8\/1344 - l**7\/840 - 3*l**2\/2 - 4*l. Let x(s) be the first derivative of o(s). Suppose x(q) = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 472 or 454?\nAnswer: 472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c + 0*c + 12*c**3 + 14*c**3.\nAnswer: 26*c**3 - 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwgjwvjlljll. What is prob of sequence ww?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -107, -799, -2659, -6269, -12211, -21067, -33419?\n\"Answer: -97*g**3 - 2*g**2 - 7*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -48, -28, 0, 36?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*r - 55*r = 450 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*r = -53*r - 4*m, 11 = -2*r + 3*m for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 84589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 + 1 - 21) + -1. Let m = v - -55. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-1035))\/((-1)\/8440). Let s = -146\/9 + y. Which is the closest to 2? (a) s (b) 1 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o + 8, 20*i - 4*o - 40 = 12*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129, -130, -133, -138, -145, -154?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 77863497\/25 + -3113706. Let f = -834 + a. Let i = 1919\/50 - f. What is the common denominator of i and -24\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/t**4))**(2\/27) assuming t is positive.\nAnswer: t**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c - 6bb093?\nAnswer: -6bb0b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 2*m**2 - 4*m - 3. Let b be y(-3). Suppose -39*d + b = -36*d. What is the derivative of d*o**2 - 16 - 5 + 13*o**2 wrt o?\nAnswer: 38*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*x - 807723 + 42*x + 807723.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 + 4*m**3 - 5*m**3)*(-12*m - 152*m + 4*m) + 4 - 4 + 5*m**4 + 4*m**3 - 4*m**3 + 2*m**4.\nAnswer: 327*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 359862138?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 3:42 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(2\/75)*y)**(-22)\/(y**(-3\/13)*y*y**(2\/7)) assuming y is positive.\nAnswer: y**(-461654\/6825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.126 * 28\nAnswer: 3.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 21*v**2 + 63543*v + 1334407. Determine i(-21).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -20*z - 163. Let h be o(-11). Suppose 0 = -47*s - 10 + h. Suppose -3*t = 2*n + n + 6, 2*n + 4 = -t. Solve -2*l - y = -6 - s, 5*l - y - 28 = t for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -109 + 112. Suppose -t*b + 18 = -0*b. What is the lowest common multiple of 14 and b?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 129 and 1419?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 9:25 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h. Let g(f) = 7324*f. Give g(q(i)).\nAnswer: -21972*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*(-6 - -9)*2\/2. Suppose v*u + 220 = 23*u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 14, -15, -44?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-198)\/(-176)*(-522)\/27*8\/18*6\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266*r**3 + 13*r**3 - 192 + 70 + 70 + 52.\nAnswer: -253*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98818316, -395273290, -889364922, -1581093218, -2470458184, -3557459826, -4842098150, -6324373162?\nAnswer: -8004284868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61703432 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (756\/(-10))\/(-7)*90?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38c72a (base 15) to base 13\nAnswer: -74558b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -6*c + 48. Let g be (c\/(13\/(-2)))\/((-4)\/(-126)). Let d be (-4)\/14 + (-207)\/g. Solve -5*v + 5 = 5*y, -y - 4*v - 8 = -d*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 1230.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ubjxibxh. Give prob of picking 1 u, 1 j, 1 h, and 1 i.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 386694 divided by -462\nAnswer: -837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4*k**2 + 4*k + 1. Let s(f) = 6*f**2 - 99*f + 106*f + 2 + f**2. Let p(d) = -3*s(d) + 5*u(d). Determine p(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 412 + 796. Let b = -183 - g. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 87932 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 140*x + 22*x**3 - 141*x + 3*x**2 + 28 - 25 wrt x?\nAnswer: 132*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, z: 1, b: 3}. What is prob of picking 1 z and 1 g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 13*b**2 + 13*b + 7. Let r(u) = 5*u**2 + 6*u + 3. Let m(j) = -2*n(j) + 5*r(j). Give m(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 508*h**2 + 137*h**2 - h - 140*h**2 + 1494*h**2. Let j be m(-1). Round j to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/34 and -8.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -3134 and -3150 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*c + 74*c + 79*c.\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - b + 4. Suppose 0*n + 33 = 4*n + t, 3*n = -4*t + 15. Suppose n*x = 4*x. What are the prime factors of z(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170696095 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 75*w**2 + 9 - 39*w**2 - 38*w**2 in the form u*w**2 + j*w + o and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/3)\/(4\/(-48)*-6)*2\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/64)\/((2 - (-21)\/(-42))*-1)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3927 = 14*l. Suppose 5*b - w = 1714, 3*b + 5*w - 649 - l = 0. Calculate the smallest common multiple of 8 and b.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7\/72)\/(18\/96). Let u(r) be the first derivative of -4\/9*r**2 + 5\/3*r**4 + 0*r - 4\/27*r**3 - 6 + z*r**6 - 76\/45*r**5. Let u(n) = 0. What is n?\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 4\/21*j**3 + 0*j**2 - 6\/35*j**5 + 0*j - 5 - 1\/14*j**4. Factor w(b).\nAnswer: -2*b**2*(b + 1)*(3*b - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5*x - 1. Suppose -2*f + 19 = 3*a, -f + a = 3*a - 12. Suppose 3*l - f + 5 = 0. Determine m(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6686 - 1052*u**4 + 6438 - 14274 wrt u.\nAnswer: -4208*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**3*r**(2\/7)\/r*(r**0*r)**(2\/23) assuming r is positive.\nAnswer: r**(543\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1177 (b) 1\/8 (c) -0.3 (d) 4\/7 (e) 0.4 (f) 1 (g) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1144 and 12714.\nAnswer: 559416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + 1 + 3 - -4. Suppose 0 = a*f - 0 - 92. What are the prime factors of f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i**3 - 27*i**2 + 47*i - 17. Calculate l(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20574 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3365 (base 12) to base 2\nAnswer: 1011000111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(-2)*32\/(-40). Find the common denominator of (-3*(o + -7))\/11 and 103\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 19 = 26. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p + 2. Let o be y(2). Suppose 2*s = 5*r + s - 109, 84 = 4*r - o*s. Let m be (-89)\/(-4) - (-2)\/(-8). Calculate the highest common divisor of r and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4 + sqrt(240)\/(-4*1*sqrt(5)))**2 + (-1*sqrt(3072))**2 + sqrt(48)*-3*-2.\nAnswer: 16*sqrt(3) + 3092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o - 5*j = 15*o + 11, -o + 34 = 5*j. Solve o = -19*b + 16*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25867\/24 + -1076. Let s = 6150884\/9 - 682028. Let y = 1405 - s. What is the common denominator of y and w?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0)**(-46)*(d**(2\/5))**(17\/2))\/((d**(-1\/3)*d**(2\/3))\/(d\/(d\/d**(-1)))**(-7\/5)) assuming d is positive.\nAnswer: d**(67\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 28444 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 4a460?\nAnswer: -4a460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2867436 - 18.6200494. Let i = b + 21.08688. Let g = -2.18 + i. Round g to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of c**6\/60 - 7*c**5\/15 + 16*c**4\/3 - 32*c**3 + 13*c**2 - 2*c. Determine o so that v(o) = 0.\nAnswer: 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 18. Let h = 291 + -188. Suppose j*n = -5, -2*r - h = -6*r + 3*n. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-3 + 2) - -12 - (10 + -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3\/4)\/((-1)\/(5\/(-15)))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 962779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 424, 425, 426, 427, 428?\n\"Answer: k + 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 10 = 5*h, 0*h + 3*h - 13 = -5*s for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 13*q + 40. Suppose 5*x - x + 18 = -i, -q*x - 27 = 2*i. Let p(m) = m**3 + 6*m**2 + m - 1. Give p(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273*j + 229*j + 850 = -12 + 26 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.05 - 1.05. Let n = d + 2. Let i = n + -1.2. What is the nearest to -1\/3 in i, -0.3, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 7*j**3 + 3*j**2 - 5*j + 5. Let v be ((-288)\/30 + 9)*-5. Let k(f) = 5*f**3 + 3*f**2 - 4*f + 5. Let g(a) = v*k(a) - 2*c(a). What is g(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7753809280 rounded to the nearest 1000000?\nAnswer: 7754000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 5*o - 2*o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1962\/85049 - 101989191361\/5358087. Let n = v - -19036. Calculate the common denominator of n and -61\/72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 28 = 15*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 5:00 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 58663029 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: Let k(o) be the third derivative of 7*o**6\/120 + o**4\/8 + 2*o**2. Find the second derivative of k(z) wrt z.\nAnswer: 42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 + 43.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 684 = 2*a, -4*a = -7*a - 4*t - 1026. Let b = -104 - a. What are the prime factors of b?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1727, -3320, -4913?\n\"Answer: -1593*f - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34655149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1367 (base 15) to base 10.\nAnswer: -4147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*u + 35*u + 2 + 3*u**2 + 33*u**3 + 4*u to the form y*u**2 + g + h*u + t*u**3 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/(-15))\/(1\/(-80)). Let t = 28 - q. Is 23 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-5*(sqrt(152) - (sqrt(152) + sqrt(152) + sqrt(152)*2)*2))\/(((-1*sqrt(80))\/sqrt(2))\/(sqrt(5) - (sqrt(605) - (sqrt(605) - -2*sqrt(605))))).\nAnswer: -4025*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 398954.5 to the nearest 10000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c**3 - 8*c - 50. Let i(b) = -2*b**3 + 4*b + 26. Calculate 5*i(x) + 3*j(x).\nAnswer: 2*x**3 - 4*x - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.34436t to kilograms.\nAnswer: 74344.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 7*y**2 + 9*y + 4. Let x(w) = w**3 + 7*w**2 + 9*w + 4. Let m(b) = -3*t(b) + 4*x(b). Calculate m(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 1043 + 507. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004155384 rounded to 6 dps?\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 166*k**2 + 38*k - 18. List the prime factors of b(-5).\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -107 - -105. Which is the closest to 3? (a) 1 (b) r (c) -0.4 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -347*c + 699*c - 353*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m, 0 = w + 6*m - m - 11. Let h(k) be the first derivative of k**4\/4 - 11*k**3\/3 + k**2 - 8*k + 2. List the prime factors of h(w).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50316?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 0, 37, 5, 99 in descending order.\nAnswer: 99, 37, 5, 0, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 455.2 (b) 0 (c) 3112\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367 is divided by 27?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 18*d + 4*d - 25529270. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + 1562 - 1550, -5*c - 29*f = -0*c - 82 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 74?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -167 + 163. Let q = 15 - 15.32. Let b = -0.08 + q. Put b, 0.3, t, 4\/3 in descending order.\nAnswer: 4\/3, 0.3, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -802 + 810. Calculate the smallest common multiple of j and 322.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + t - t)*(t + t + 0*t) - 3*t**2 - t**2 + 2*t**2 + (-106*t**2 - 35*t**2 - 60*t**2)*(6 - 1 - 4).\nAnswer: -209*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 13, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 6481 (b) -0.172 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -2*u - u + 3, -24 = 4*u - 3*l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3211 divided by -3211\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - -7. Let f be a\/204 + 5\/(-30). Sort -0.5, 0, f in decreasing order.\nAnswer: 0, f, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2226686?\nAnswer: 2, 7, 11, 19, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -1 - 7*i + 1\/2*i**2. Give g(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 10 = -14. Let m = 132 + -76. What is the highest common factor of m and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 850181965.\nAnswer: 5, 227, 229, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 35 in -383\/9, 173, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -21012110 (base 3) to base 6\nAnswer: -40150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3626, -2779, -1932, -1085, -238, 609?\n\"Answer: 847*c - 4473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10007451?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7070 and 16870?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 36 + -153c?\nAnswer: -1506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 0*r = 3*r + 14, x = -2*r - 9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**2 + 13*q - 22 = 0. Calculate q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -1\/4 (c) 2 (d) -0.1 (e) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -66, -101, -136?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -10 + 1 + 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*p = q - 36, 3*q - 4*p = 6. Is q bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 11, -29, -115, -265, -497, -829, -1279?\nAnswer: -1865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -286544, -573090, -859638, -1146188, -1432740, -1719294?\nAnswer: -2005850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c**3 + c**2 + 4*c + 4. Let t(k) = -191*k - 2326. What is the remainder when t(-13) is divided by r(-2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 17*h - 9. Let p be x(5). Suppose -23 - 33 = 4*y - 4*f, 5*y = 2*f - p. Is (103\/4)\/((-4)\/y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33\/10 in 0.5, -3, -7924?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 - 10*b - 12. Calculate v(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1921 - 352.852226.\nAnswer: -2273.852226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 13*z**2 + 9*z + 5. Let d(g) = -g**2 - 7*g + 17. Let h be d(-8). Let v(p) = 3*p**2 + 2*p + 1. Calculate h*v(l) - 2*w(l).\nAnswer: -2*l**3 + l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61677863 by -61677863.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t - 3. Let v(w) = -w**2 - 14*w - 4. Let q(r) = -3*f(r) - v(r). Determine q(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*k**2 - 103*k**3 - 2*k**4 + 56*k - 199*k**2 - 34*k**3 + 7*k**4 = 0.\nAnswer: -1, 0, 2\/5, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2406 by 10.\nAnswer: -1203\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -2340.707?\nAnswer: 2340.707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**3 - 7*w**2 - 53*w + 15. What are the prime factors of k(-8)?\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-109)\/3 - 1\/(-3). Suppose -3*t + j + 146 - 39 = 0, -4*j - 78 = -2*t. Let k = c + t. Which is greater: 1\/9 or k?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -97 + 94. Let q = -6 + 2. What is the nearest to 0.1 in c, q, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17667188 divided by 2?\nAnswer: 8833594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 322\/42)*273\/(-26)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -2. Let m(t) = -t**3 + 11*t**2 - 10*t + 4. Let s(y) = -y**2 + y + 1. Let g(z) = d*s(z) + m(z). Let r be 46\/4 - (738\/12)\/41 - 3. Give g(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 k when three letters picked without replacement from kvckva?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**3\/3 + k**2 + k + 6. Suppose 0 = 5*z + 5 - 0. Determine d(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28743.134 days in weeks?\nAnswer: 4106.162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 3*c - 201, -5*y - 5*c = -3*y + 127. Let a = 114 + y. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -385096\/219 + 5275\/3. Which is bigger: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**2 + 4*s**2 - 2*s**2 - s**2 + 11*s + 3*s - 16*s + (6*s + 0*s - 5*s)*(0*s + s - 2*s).\nAnswer: -4*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3021 (base 4) in base 9?\nAnswer: -243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2056*o - 30. Let c(j) = 1028*j + 17. Give -7*c(k) - 4*q(k).\nAnswer: 1028*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-352)\/220 - (-7748)\/5?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4199 + -2003. Is 61 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 242*f**3 - 97*f**3 + 15*f**2 - 110*f**3 = 0?\nAnswer: -3\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(275) - (sqrt(275) - ((sqrt(275) - (sqrt(275) + 0 - sqrt(275))) + sqrt(275))) - sqrt(275)) + sqrt(275) + 4 + sqrt(275)*2)**2 + -1.\nAnswer: 320*sqrt(11) + 4463","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.5 + 5. Let t = -167 - -160. Sort 3, t, q.\nAnswer: t, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 423 and 29?\nAnswer: 12267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-58)\/(-3) - 18\/(-27). Suppose 2*k = -2*k + f + a, 0 = -2*k + f + 10. What is the greatest common divisor of k and 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1151693112.\nAnswer: 2, 3, 281, 170773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -5. Let m(p) = d*p**2 + 6 - 6. Let r(t) = 4*t**2 + 5. Let s(w) = 5*w**2 + 6. Let x(n) = -6*r(n) + 5*s(n). Calculate x(m(u)).\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 4*m + 45, -3*m + 52 = -o + 72 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -2*s - 20. Suppose 5*z = -s*r - 6, -5*r - 16 = -r. Factor -7*h**3 - 3*h**2 + 0*h**z + 4*h**3.\nAnswer: -3*h**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(5 - 8) + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 2 + (12 - 7) + -1 - -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p**2 + 216*p + 5. What is q(54)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14074710.\nAnswer: 2, 3, 5, 13, 151, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 31650 = -5*q - 33968, -m + q = -21876. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21.664 + 22.9. Let l = z - -0.114. Let p = l - 0.95. Which is the third smallest value? (a) p (b) 0.06 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/114)\/(1\/4). Let u be 471\/684 + (-4)\/16. Let v = s + u. Is 0 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -44600, -89073, -133522, -177935, -222300, -266605, -310838?\n\"Answer: 2*x**3 - 44487*x - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.170413 plus 0.5?\nAnswer: 0.670413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 1\/3, 0, -0.06, 5 in ascending order.\nAnswer: -13, -0.06, 0, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36691148.\nAnswer: 2, 13, 29, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-four fifths of a tonne?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/470 - -913\/4230. Which is the closest to -1\/3? (a) 4 (b) 0.5 (c) -0.2 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 190278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -0.4, 5, -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*j**2 + 12*j**2 + 4*j**4 - 3*j**4 + 0*j**4 + 2*j**4 + (j + 2*j - 5*j)*(j**3 - 2*j**3 + 3*j**3).\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.4 - 6.6. Let d = 72.7 - 71.9075. Let t = d - h. Round t to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240.063 + 596501220.\nAnswer: 596501460.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*a = 0. Suppose 2*z - l = 15, a = -z + 4*l - 3. Let u = 5 + z. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nrrnpu. What is prob of sequence upnn?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + n + 2*n = -19, -3*f = 2*n. Let s be (-2)\/1 - (f - -1). Let o = 28 + -25. Put -1, o, s in descending order.\nAnswer: o, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -109, -165, -223, -283, -345?\nAnswer: -409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2183, 8786, 19795, 35210, 55031, 79258?\n\"Answer: 2203*q**2 - 6*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2 = s. Suppose -4*o + 8*q + 33 = 5*q, -s*q = 2*o - 6. Solve -z = -o*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-3 - -7) + -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -207, -210, -225, -258, -315, -402?\nAnswer: -525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -49312 and 15.\nAnswer: -49297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -2034 = -1978?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -66172.2914 + 66165. Let b = -0.1786 + n. Let r = b - 0.43. Round r to 0 dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 4*k + 209*o - 222*o, -5*k - o - 3 = -k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1759 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28.9 + 29. Let t = 238\/3 + -78. Let h = -1.1 - -1. What is the third smallest value in v, h, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10507951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + 81*c - 41*c - 45*c - 26, -n = 9*c + 46 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35160 and 10280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 249087 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -67083\nAnswer: 5\/67083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 divided by 379.\nAnswer: -70\/379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n - 6. Let r be o(-5). Let d = r - 0. Let y(v) = -6*v**2 + 6. Let c(z) = -5*z**2 + 5. Determine d*y(i) - 5*c(i).\nAnswer: i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -112 + 107. What is the nearest to 2 in b, -2\/3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2328, 9321, 20978, 37299, 58284, 83933, 114246?\nAnswer: 149223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z - 13. Determine r(-14).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**5 + 0*b**5 + 3*b**5 + (2*b**2 - b**2 - 2*b**2)*(3*b**3 - 5*b**2 + 5*b**2) + 0*b**5 + 4*b**5 - 3*b**5 + (-4*b**4 + 6*b**2 - 6*b**2)*(0 - 2*b + 0).\nAnswer: 7*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 18 = 6*y. Suppose 4*t - i = 15, -5*i + 10 = -y*i. Suppose t*p - 6*p + 24 = 0. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 493.\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 6:40 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 179.04 + -16.24. Let n = p + -141. Let k = n + -22. Which is smaller: k or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*(2 - 30\/20). Suppose 2\/9*q**m + 0*q + 0 + 2\/9*q**3 = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 9*n - 4. Let f be o(15). Let s = -81 + f. Suppose 4*k = 5*k + 3. Sort s, 1, k in descending order.\nAnswer: s, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68460313 divided by -1.\nAnswer: -68460313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1469500 to the nearest 10000.\nAnswer: -1470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and 18843439.\nAnswer: 18843437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57\/(-1710))\/(1\/3)*1*4.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 26 = -140. What is the remainder when 67 is divided by z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14 + (-341)\/(-22))*8\/6. Sort 0.3, j, -31\/27, -4 in decreasing order.\nAnswer: j, 0.3, -31\/27, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 944 and 19529.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2987.3 + 2987. What is the closest to -2 in 62, 2\/3, n, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 12*j - 20. Let f(a) = 9*a**2. Determine f(g(o)).\nAnswer: 1296*o**2 - 4320*o + 3600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - u + 4*m = 10, -4*u + 46 = -5*m. Is (-8)\/(-36) - (-1330)\/u - -4 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -886, -1911, -2936, -3961, -4986, -6011?\nAnswer: -7036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of b**7\/5040 + b**5\/60 + 3*b**2. Let f(t) be the third derivative of v(t). Let m(l) = l. What is m(f(q))?\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84 divided by 1982.\nAnswer: 42\/991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 - -49. Suppose -3*l = s*k + 18 - 30, 9 = 3*k. Sort 4, 15, l in decreasing order.\nAnswer: 15, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 18, 18, 20, 24, 30, 38?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 6*f - 261 = 0. Calculate the remainder when 85 is divided by f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 6*c - 2. Let k(b) = 17. Suppose -2*x + 7 = -3. Let p(y) = 21. Let v(f) = x*k(f) - 4*p(f). Calculate a(g) + 2*v(g).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (2 + 4)) + 4 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g - 3*g - g)*(-5*g + 122 - 122)*(0 + 2 - 3).\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from eeeeeeteeetee.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 32933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*u - 2*u. Suppose 1 = -2*r + 3*j, 3*r - j = j - u. Is r - 3*6*-2 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2130*v + 814. List the prime factors of q(-5).\nAnswer: 2, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 3*c - 85. Let i = c + -11. Let t = i + -5. Solve -5*f + 2*x = t, 13 = -0*f + f + 4*x for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 0*x + 0*x)*(-4*x**2 + 7 - 7) + (3*x**3 - 3*x**3 - 4*x**3)*(-1 + 4 - 5)*(-12 - 33 + 10).\nAnswer: -276*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 4. Let i be 3\/18*4\/v. Let l = -84 - -84. Which is the second biggest value? (a) 1 (b) i (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ugxrgragguguuuaag. Give prob of sequence xu.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4116 - -4120. What is the least common multiple of 1\/(((-15)\/(-36))\/5) and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1518 and 48.\nAnswer: 12144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 0*r - 2*r - 2*r. Let c(a) = 14*a**2 - 204. Let i(n) = -5*n**2 + 72. Let u(p) = 6*c(p) + 17*i(p). What is v(u(x))?\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -453?\nAnswer: 4\/453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -150 + 152. Factor -4*v**2 - 355*v**3 + 0 - 5*v + 354*v**3 - j.\nAnswer: -(v + 1)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 1. Let p(t) = 3 - 2 + 0. Suppose 0 - 1 = -v. What is v*p(c) - h(c)?\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - q = 50, -44 = -7*i + 4*i - 2*q. Suppose -2*d - i = -6*y + 3*y, 2*y + d + 1 = 0. Let w be 30\/y*36\/54. Solve 0 = -l - l - w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + 3*u - 33, -2*b - 7*u - 78 = -0*b - 31*u - 6*u for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -168 + 153 + (-342)\/(-24)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147392 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -588.8 - -507. Let s = i + 81.7. Which is smaller: s or -10\/9?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 + 29*l**3 + 0*l**2.\nAnswer: 29*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17496 and -0.54.\nAnswer: 9447.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1933 and -197917?\nAnswer: -38257.3561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 equal to 498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79984150 by 2.\nAnswer: -39992075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3944*g**2 + 3841*g**2 + 3424*g**2 - 11679*g**2.\nAnswer: -470*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - 5) + 512 + -1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**3\/6 + 31*l**2\/6 + 53*l\/3 - 68\/3 = 0. Calculate l.\nAnswer: -4, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21067 = 3*x - 16*p + 11*p, 0 = -2*x + p + 14054. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**2*t**5 + 617*g**2*t**2 - 24*g**2 - 4*g*t wrt t?\nAnswer: 20*g**2*t**3 + 1234*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 5 = -q. Suppose 4*o = 3*b + 9, 5*b + q*o + 0*o = 11. Put 2, -4, b in ascending order.\nAnswer: -4, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 1)*(14*o**2 - 345 + 345)*(-3*o**2 - o**2 + 2*o**2) in the form z*o**4 + x*o + h*o**2 + v + u*o**3 and give z.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17\/9 - -701\/360. Let c = a - 977\/1320. Is 0 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (1 + 104\/14). Which is smaller: -9 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122323203 (base 4) to base 13.\nAnswer: -3b292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 128.23858309 - 0.23959309. Let a = r - 128. What is a rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -184282962 divided by 30713827.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -123644?\nAnswer: -123644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*v - 9 = 0, -8 = -4*r + v + 4. Let d be 2\/15*(-1 + -4). Which is the closest to 1? (a) r (b) 0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-45*(-40)\/(-11520))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, -42, 3 in descending order.\nAnswer: 44, 3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(240)*6)\/(sqrt(12) + 4*(sqrt(12) + sqrt(12)*-1)) - (1*sqrt(180)*-2 + sqrt(180))\/((sqrt(99) + -2*sqrt(99) + sqrt(99) + sqrt(99))\/sqrt(11)).\nAnswer: -22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -3*p - 4*r + 401, 4*p - r = -323. Let z be (-1 - -3)\/((-6)\/p). Let o = -33 + 51. What is the greatest common factor of z and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289080579.\nAnswer: 3, 96360193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*f + 98 = 1768 + 805 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 98 = -739. Suppose -494 - 1083 + 17 = 13*z. Let x = z + a. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -251\/3 - -20854\/249. Which is greater: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of z**3\/2 + 27*z**2 - 21*z + 476. Let r be (27\/6)\/(2\/(-8)). Determine y(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 + 3*n - 1. Let l(d) = -2*d**2 - 4*d + 1. What is -3*j(a) - 2*l(a)?\nAnswer: -2*a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*n + 125*n - 43*n - 41*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 1162175556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 3*q**2 - 246*q - 765 = 0.\nAnswer: -3, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, x: 1, e: 2, k: 1}. What is prob of sequence xk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 8*m + 9. Let k be d(-9). Let l be (1 + 8)\/(k\/24). Suppose -s + 0 + l = 0. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 20*j**2 + 17*j + 1745. Let x(q) = 2*q**2. Determine m(x(i)).\nAnswer: 80*i**4 + 34*i**2 + 1745","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*((5*u - u - 2*u)*(-3 + 1 + 1) - 5 + 5 + 7*u + (-1 + 2 - 3)*(-16*u + 37 - 37) + 10*u + 10 - 10).\nAnswer: 94*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -489 = 27*y + 267 for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - 22. Suppose 39*k - 1614 - 843 = 0. Calculate the greatest common divisor of k and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6390 is divided by 612.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 231, 2\/5, 7.5, 10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-19)\/5 + 4)*10. Solve b*p + 4*m + 11 + 7 = 0, 2*m = 4*p + 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5590957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 945 + -507. Suppose x - 3*t - z = -t, -t = -4*x + 1759. Suppose 2*g - 1140 = x. What is g rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 10. Let g(c) = 54*c - 54*c + 11*c**u. Let m(d) be the first derivative of -d**2\/2 - 2. Give m(g(z)).\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of 0*o**4 - 6*o**2 + 11\/30*o**5 - 17*o + 0 - 13\/3*o**3. Let t(n) be the first derivative of h(n). Differentiate t(x) wrt x.\nAnswer: 44*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by 90.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**5\/5 - 9*z**4\/5 - 52*z**3\/5 = 0.\nAnswer: -4, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = -8*a. Let v = 7 - 4. Sort v, a, -2\/13.\nAnswer: -2\/13, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 2 - 2 + 5 - 2 + (2 + 2 - 6)*(2 + 4 - 4))*(3 - 2 - 2)*(-2 + 2 + w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 27*j - 66. Factor -1\/2*u**j + 1\/2*u + u**4 - u**2 + 0 + 0*u**3.\nAnswer: -u*(u - 1)**3*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -3*r + 231, -3*r + 373 = 5*i - 4*r. Let k = i - -920. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 118*a**3 - 221*a**2\/2 - 306. Find the second derivative of d(f) wrt f.\nAnswer: 708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*v - 6. Differentiate 2*n**2 + 1 + v*n**2 + 4 wrt n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -13.2075.\nAnswer: 3.96225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/30 + 15\/(-30) and 47\/40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v + 0 + 1\/6*v**4 - 1\/3*v**3 + v**2. Suppose -3*d + t + 0*t = -3, t = -2*d + 7. What is s(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47114736*a**3*p + 2*a**3 + 38969*a**2*p - 707*a*p wrt a.\nAnswer: 282688416*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.2, 0.08, -2\/7, -18, 11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, t: 3, h: 3}. Give prob of sequence thth.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11231.\nAnswer: 11, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-60)\/(-18)))\/((-90)\/525)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of z**5 + 22316*z**4 - 2*z**2 + 1308*z - 4?\nAnswer: 60*z**2 + 535584*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 401 (base 6) to base 2\nAnswer: 10010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000456846 rounded to 7 decimal places?\nAnswer: 0.0000457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 10:01 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 263610782?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**4\/4 + 671*m**3\/2 - 445317*m**2\/4 - 2048645*m\/2 - 1600648 = 0. Calculate m.\nAnswer: -1616, -7, -2, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -485397\/57523 + 346\/41. Is 0 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0052297 to 4 dps.\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18997 + -18996.9. Which is the nearest to h? (a) 30 (b) 4\/3 (c) -0.07 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 69*n - 67*n + 662169, -1986523 = -3*f + 2*n. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p + 4. Suppose -m - 3*f = 2*m + 15, -25 = 5*m + 2*f. What is s(m)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.03 - -1.23. Let a = f + -1.28. Let w = a + 5.08. What is the third smallest value in 4, -0.1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2316712051?\nAnswer: 79, 109, 269041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 451874449 to the nearest integer?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -230, -276, -318, -356, -390, -420, -446?\nAnswer: -468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/((-765)\/132) - 2. Solve -8\/17*b**3 - 4\/17*b + n*b**2 + 2\/17*b**4 + 0 = 0 for b.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/8)\/((-255)\/680)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -786, -4405, -12740, -27675, -51094, -84881, -130920, -191095?\nAnswer: -267290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f + f**5 + f + (3*f**2 + 0*f**2 - 5*f**2)*(f**2 - 2*f**3 - f**2) + 2*f**5 + 0*f**5 + f**5 - 4*f + 2*f**5 + 4*f.\nAnswer: 10*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 350 divide 241150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m + 30. Give h(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i = 30247 - 188362. Suppose -i + 3251 = -18*l. Is l a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11187.1 - 11187. What is the third biggest value in -3\/2, j, 1\/3, 0.67, 0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54122771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -2, -68415 in ascending order.\nAnswer: -68415, -22, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.777 + 4.591. What is the closest to 6 in -5, p, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 164459531 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/19678530 and -173\/30.\nAnswer: 19678530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.7 and 0.6268.\nAnswer: -0.0732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 10, q: 2, e: 1, t: 1}. Give prob of picking 1 q and 3 f.\nAnswer: 240\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -2\/19, 1282.9255?\nAnswer: 1282.9255","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b - b + 14*b**2 - 8*b**2)*(-2962*b + 72*b**2 + 2962*b) as o*b**3 + a*b + i*b**4 + d + l*b**2 and give o.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 - (45\/12 + 3\/(-4)). Let m be 1\/g*(-4 + 7). Suppose -2*z - 4 = -z. Put -2, z, m in ascending order.\nAnswer: z, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 665489 is divided by 497?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 0.4, 0.02, 1 in increasing order.\nAnswer: -1\/5, 0.02, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223201356.\nAnswer: 2, 3, 7, 2657159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 94 + 58 = 0. Suppose 3*c - 4*o = -8, -2*c - 10 = -6*o + o. Solve 3*q - 5*u + 1 = c, q + 5*u + 6 - v = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 + 5*l + 60.\nAnswer: -5*(l - 4)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 12:54 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2629.\nAnswer: 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1378301, 2756615, 4134929?\nAnswer: 5513243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94995*f - 47498*f - 47496*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 2 (b) 0.2 (c) -0.2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -80 - -82. Which is the nearest to 1\/3? (a) i (b) -1\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 1 + (453 - 8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201 = -71*g + w, 0 = 3584*g - 3585*g + 4*w + 45 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 12*d**2 - 11*d + 7. Let u be t(-11). Let v(w) = -u*w + 0*w**2 + 10*w**2 - 9*w**2 + 6. Determine v(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26014 + -25933. Solve n*f - 21*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 8381?\nAnswer: -837d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 549.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 1 - 1)*(3 + 2 - 2)*(422*o - 764*o + 23*o)*(0*o - o - o).\nAnswer: -3828*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**4*l - 71*f**4 - f**2*l + 68*f*l - f wrt f?\nAnswer: -12*f**2*l - 852*f**2 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6655603709?\nAnswer: 11087, 600307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 30998*o + 30996*o - 61996*o + 5*o**3)*(-3 + 3 - o).\nAnswer: -5*o**4 + 2*o**2 + 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 5 and -62 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 4*r = 12, -p - 5290 + 10645 = 8*r + 5317 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 77*n + 590. Give w(-8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - 1\/(4\/(-12)). Suppose n = d - 7, 4*n + m*d + 0*d - 17 = 0. Let w be ((-30)\/4)\/(n\/1600). Round w to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -6*p + 66. Let w(q) = 1611*q - 1595. Let a be w(1). Calculate m(a).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**5\/60 + 3*n**4\/8 + n**3\/2 - 2*n**2. Let z(w) = -w**2 + w + 9. Let i be z(0). List the prime factors of g(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 7:05 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 + 428*p**2 - 1124*p - 27468.\nAnswer: 4*(p - 9)*(p + 7)*(p + 109)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*r + 26 = -35 - 41. Suppose 4*z = 4*a - 28, 0 = -3*z - a + 5*a - 22. Let l = -1 - z. Are r and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 2 - (3720\/1550)\/((-1)\/25)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31403.\nAnswer: 31, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6072901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10, -16, -24, -34?\n\"Answer: -t**2 - 3*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of v**7\/42 - 5*v**4\/12 + 5*v + 2. Let n(x) be the first derivative of a(x). What is the third derivative of n(w) wrt w?\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (75\/((-5850)\/(-52)))\/((-4)\/(-24)*(-10)\/18)?\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (3 - 0 - 6). Find the second derivative of 4*t + 4*t**4 - 9*t**2 - 2*t + 9*t**a wrt t.\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*t**2 - 2*t**4 + 10*t**2 + 3*t**4 + t**3 + 2 in the form a*t**4 + n*t**3 + p*t + l + b*t**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238355311?\nAnswer: 31, 7688881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*14*29\/2030. Factor -w*r**2 + 33\/5*r + 0.\nAnswer: -3*r*(r - 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -36317, -72641, -108965?\n\"Answer: -36324*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 63*z + 653. Suppose -2*p + 54 = 2. What is the remainder when p is divided by k(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 7:14 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-d + d - d)*(0 + 2 - 1) + d - d + 2*d)*(-47*d - 159*d**2 + 80*d - 29*d).\nAnswer: -159*d**3 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 + 43.3\nAnswer: 43.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 8. Let w = 23.7 + 91.3. Let u = -119 + w. Which is the closest to 1? (a) u (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 3*p + 45, f = 3*f + 2*p - 40. Calculate the remainder when f is divided by (6\/(-5))\/((-2)\/15).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**4 - 57*r**3 + 268*r**2 - 420*r + 208 = 0.\nAnswer: 1, 2, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 940 is divided by 86?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 37470\/191 greater than 197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuguggiuhhuhug. Give prob of picking 1 i and 1 u.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i - 3*i + 41*i - 20*i.\nAnswer: 15*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6675211?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -98.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34534 + -34533.99983921. What is t rounded to 6 decimal places?\nAnswer: 0.000161","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/371493 - -15874267415\/5943888. Let t = -1432 + 4101. Let f = t - q. What is the common denominator of -79\/18 and f?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 9*w = -24. Let b(i) = -5 - w*i + 31*i - i**3 + 1 - 5*i**2. Let f = -130 - -124. Calculate b(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 7*x**2 - 2*x - 12. Let q be f(-7). Suppose -2*z + 239 = z + v, q*v = z - 68. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -981 - 2*k + 11*k**4 + 981 + 3*k**3 as f*k**4 + a*k**2 + o*k + b + t*k**3 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18088, -5, 12 in decreasing order.\nAnswer: 18088, 12, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -0.925\nAnswer: 1.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + 2\/(-3))\/((-5)\/1200). Let y be (-2 - 3)*i\/50. Let n = y - -105. Does 33 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4649, -4654, -4669, -4700, -4753, -4834, -4949?\nAnswer: -5104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(170)*3*6*-3)\/((sqrt(30) - (4*sqrt(30)*2 + sqrt(30)))\/(1*sqrt(6)\/sqrt(2))).\nAnswer: -27*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1127, -1096, -1045, -968, -859, -712, -521?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -91289264 from -696.\nAnswer: 91288568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 5*u + 10 = 0, -2*z = -4*z + 4*u - 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3719.5 + 5.4?\nAnswer: -3714.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 3 = 2*r - 5, -11*z - 65 + 26 = 3*r - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -68682 and -5409.\nAnswer: -74091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 312.2, -1\/2, -2, -2\/63, -0.1, 0.7?\nAnswer: 312.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 410 and 341735.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2501*f**2 - 44*f - 48. Let w(a) = 2500*a**2 + 33*a + 48. Let h(b) = 5*w(b) + 4*y(b). What is the second derivative of h(n) wrt n?\nAnswer: 4992","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 839083 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - l**2 - 2*l**2 - 15 to k*l**2 + a*l + i and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/2 + 236*z**2 - 7030*z - 15000.\nAnswer: (z - 30)*(z + 2)*(z + 500)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.94919571 rounded to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y\/(y*y**(-14\/5))*y)\/y))\/(y*(y\/(y\/(y**(-1\/26)\/y)*y))\/y*y) assuming y is positive.\nAnswer: y**(-99\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 69873*n**2*s**4 + 3*n**2*s**2 - 805851*n**2*s - 16*n**2 wrt s?\nAnswer: 838476*n**2*s**2 + 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2523903 < -2523903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 4*c - c)*(0*c**3 + 3*c**3 - 4*c**3 - c).\nAnswer: 3*c**4 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 20*w + 69*w**3 - 9\/2*w**2 + 34. What is the second derivative of a(g) wrt g?\nAnswer: 414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -271458129 or -1\/3?\nAnswer: -271458129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -366 - -388. Suppose 0*h + h = -1, 8 = f + 4*h. Calculate the remainder when b is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*d + 47 - 37 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1135, -1133, -1131, -1129, -1127, -1125?\nAnswer: -1123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 1020 = 10*i - 3*o, -4*o = 0. Let u = i + -121. What is the biggest value in -0.2, 5, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7016766 - 0.01657.\nAnswer: -7016766.01657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 9*t**2 + 2*t + 2. What is i(4)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/11984927 or 0?\nAnswer: -1\/11984927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*t - 505 = 15*t + 103 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3548786.54832 + -2\nAnswer: 3548784.54832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 0. Let i = w - 7. What is the closest to 1 in i, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323748 is divided by 53955?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3714 + 3231*z + 3714.\nAnswer: 3231*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -79*g + 76*g - 3438, 5*n + 2*g - 17275 = 0. Is 19 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247296*x**2 + 126713*x**2 - 1 - 1.\nAnswer: 374009*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98)\/sqrt(63) - sqrt(14))\/(sqrt(42)\/sqrt(54) + sqrt(7))*-4)**2 + (-4*((sqrt(128) + 0 + sqrt(128))*2 + (sqrt(128) + 0)*-1))**2.\nAnswer: 18440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + 101010010101110?\nAnswer: 101010010110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -25, -52, -81, -112, -145, -180, -217?\n\"Answer: -c**2 - 24*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 9619652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -18. What is the remainder when (1\/2)\/(j\/518) is divided by (16 - 3)\/(2 - 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1899*k = 1909*k - 40 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*n - 3*r - 11, 3*n = 4*r + 18. Suppose -6*j = -3*j + n. Sort -3, j, 0 in increasing order.\nAnswer: -3, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mb when two letters picked without replacement from xbxxbxxbxxbrm.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-24))\/((-672)\/21).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 155.\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 6*w**2 - 8*w - 7. What is n(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 835*u - 832*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5.4 times -52\nAnswer: -280.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2224, 4429, 6634?\n\"Answer: 2205*w + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 = -50*w + 47*w. Let l = 136 + w. Calculate the highest common factor of 110 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64251 and 462206?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 23*n**2 + 136*n - 23349. What is y(-35)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 400 divide 5202400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a hour in seconds?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 6*c**2 + 0*c + c**3 + 37\/24*c**4 + 0. Is o(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 5*k - 229, 8315*c - k = 8314*c + 76. Let i(r) = -r**3 - r**2 + 89. Let l be i(0). Is c less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 4:11 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w - 83. Let b be q(-15). Let i = b + 1059. What are the prime factors of i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 1\/4 (b) -2 (c) 0.03 (d) -3\/2 (e) 0.011\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(133) - sqrt(133)*-1)*5 + (2*sqrt(133) - sqrt(133))*-2 + sqrt(133))\/(1*sqrt(1008)*1 - sqrt(1008) - sqrt(1008)))**2.\nAnswer: 171\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + s + 13184, -63*q + 2*s = -64*q + 13172. What are the prime factors of q?\nAnswer: 2, 5, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*h**5 - 61023*h**4 + 315552*h**3 - 420468*h**2 + 66384*h = 0 for h.\nAnswer: 0, 2\/11, 2, 3, 1844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + r - 60 = -2*f, -2*f = 4*r - 24. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 340000963.\nAnswer: 340000963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/9, 4\/3, -24?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4 + sqrt(612) + (sqrt(612) - (4 + sqrt(612))*-2) + 3 + 4)*3)**2 + 1.\nAnswer: 8208*sqrt(17) + 91378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 7*t + 7. Let z be v(-6). Let a(p) = -4 - 2 - 5*p + 5. Give a(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-14))\/((-26)\/(-91))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2352 a factor of 28873872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - (-26)\/(-12))*(-56)\/42. Let q = 40 + -64. Let w be (q\/15)\/((-2)\/(-1)). Which is the closest to -0.1? (a) p (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a milligram in micrograms?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 169238b (base 12) to base 2\nAnswer: 10001110100000010011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 422, 3376, 11392, 27002, 52738, 91132, 144716, 216022?\nAnswer: 307582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 1:39 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40330324 (base 5) to base 7.\nAnswer: -2516065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -4. Let o = -4.9 - -6. Let m = o + -5.1. Put m, 2, g in decreasing order.\nAnswer: 2, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l. Let f be r(1). Let q(w) = -4*w**2 - 27*w - 18. Let c be q(-6). Sort c, 5, f.\nAnswer: c, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133397490.\nAnswer: 2, 3, 5, 4446583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 2:23 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3. Let w(t) = -13*t**3 - 15*t**2 - 1. Let f(r) = 2*c(r) - w(r). Find the third derivative of f(v) wrt v.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 0 + 0)*(3*v**3 - 4*v**3 + 0*v**3) + 2 - 2 + 2*v**3)*(1 - v - 1).\nAnswer: -6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-18) + (-16)\/72. Let v be (w - 2)*12\/(-8). What is the second derivative of -o**3 - 2*o + 8*o**v + 3*o wrt o?\nAnswer: 42*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w. Let g be (-4)\/3*(-42)\/(-4). Let p = 17 + g. Let o be d(p). Solve -l - o = -3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 125*v**5 + 300*v**4 - 965*v**3 - 520*v**2 + 540*v - 80 = 0.\nAnswer: -4, -1, 1\/5, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 683079.5 hours?\nAnswer: 40984770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (48216\/(-126567))\/((-3)\/1*4\/28)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/45 of a day in seconds?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-5))\/(40\/(-1200)). Factor 4*u + l*u**2 + 4*u**3 - 30*u**2 + u**4 + u - u + 1.\nAnswer: (u + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/2 + 562490\/110070. Let l = -1\/1223 - p. Let q = 4338 + -17445\/4. Calculate the common denominator of l and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-46)*8 + (-107 - -121 - 17)?\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -49011975 + -0.03\nAnswer: -49011975.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 479*w**4 + 4787*w**3 + 8113*w**2 + 3781*w - 24.\nAnswer: (w + 1)**2*(w + 8)*(479*w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**5\/3 - 313*h**4\/3 - 310*h**3 + 354292*h**2\/3 - 1133458*h\/3 + 87079 = 0. What is h?\nAnswer: -31, 1\/4, 3, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 14. Suppose -4*p - 2*k = 20, -2*p - 14 = 2*k - 4. Let j be 1*(4 + 6) + p. Solve 0 = -j*b - f - 14, m*b - 1 + 29 = -5*f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**3\/7 + 11356*v**2\/7 + 1378200*v\/7 + 195264 = 0 for v.\nAnswer: -2712, -126, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/4 + (-6)\/(-4). Suppose -p*b + 40 = -0*b. Calculate the remainder when b is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*r**2 - 1 - 10*r**2 + 3*r**4 + 3*r + 3 + 25*r**2 + r**4 - 6*r**3 to l + p*r + b*r**4 + v*r**2 + c*r**3 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wuwi when four letters picked without replacement from uwbyjwji.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 3*q + 23 = 0, -178*j + 5*q - 10 = -179*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**2 + 2 - 4*u**2 - u**2 + 33 - 33 - u - 2*u**2 - 190*u + 125*u**2 + 190*u - 3*u**2 + 2*u**2 - u**2 + 0 + u**2 + 0 + (u + 2*u - 5*u)*(4*u - 3*u + 0*u).\nAnswer: 118*u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 4*y**3 + 11958*y**2 - 174154*y + 234312 = 0.\nAnswer: -3004, 3\/2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 529 - 533. Is 7 a factor of (-196)\/(-70)*l\/((-16)\/170)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -2*l - 0*n - 8, 0 = -5*l - 2*n - 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -56 + 35c992?\nAnswer: 35c939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -10, 0, -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, o: 9, v: 4}. What is prob of sequence vvoo?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51\/4)\/(34\/8 + 2553\/(-552)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1254 divided by -44276.\nAnswer: 627\/22138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9276, -9244, -9212, -9180?\nAnswer: -9148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/8 + (-37)\/(-4). Suppose 41 - 4406 = -u*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413 is divided by 226.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + o**2 + o + 1. Let c(g) = 18*g**3 + 5*g**2 + 5*g + 5. Give -c(a) + 5*d(a).\nAnswer: -13*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 330 + 3a53?\nAnswer: 4083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.00965 = -0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(2 - 4) + 3. Let t = u + 10. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62621 is divided by 10433.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 33 + 9 = 0. Suppose 0 = 4*b - 86 + p. Let z be ((-16)\/b)\/(4\/(-10)). Solve -5 = -5*d - z*h, -d + 2*h = -0*d + 11 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 + -9 + 108693\/1638?\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (25*4\/(-3))\/(8 - 10) and -34\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 377 divide 237279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*n**2 + 5*n - 3*n + n - 5*n - 14*n**2 to a + h*n**2 + u*n and give h.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 0.5 (b) -0.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 509*d - 104*d - 5035 = -1390 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/4 + 1\/2. Let a = -20540\/11 - -1872. Find the common denominator of a and 31\/(-14)*z - 2.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 17*o - 155. Let r be d(12). Calculate the greatest common divisor of r and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 106.7 + -101.7. Which is the third smallest value? (a) 6\/13 (b) z (c) 0.8 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 103*a - 132*a**3 + 6*a**2 - 3*a - a**2 - 3*a**2 wrt a?\nAnswer: -792*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 4:48 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -19*m**4\/6 - m**3\/6 + m**2. Let x be l(-1). Calculate the remainder when ((-6)\/(-9))\/(2\/x) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -53*z + 389. Let d be 10\/(0 - (-3 + 2)). Let v = d - 7. What is the remainder when z is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + 0 - (0 - -2). Suppose -18 = i - 4*b, -3*i + r*b = 5*b - 16. Suppose -i*s + 5*s = 48. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**12\/r**14)**(3\/14)\/(r**(-2\/17)\/(((r\/r**4)\/r)\/r*r)*(r**(-2\/9))**(1\/11)) assuming r is positive.\nAnswer: r**(-50549\/11781)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -4*q - 2, q - 13 + 18 = -5*b. Solve 16*f - 96 = -q for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 15*t - 101. Calculate h(22).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-11 - 30) - -19 - -32?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/7555213 and 29\/278106.\nAnswer: 45331278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m. Let l(h) = -1280102*h**2. Give l(i(g)).\nAnswer: -5120408*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 100000001100110001000?\nAnswer: -100000001100110000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177*q**2 - 393*q**2 + 256*q**2.\nAnswer: 40*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30902475 - 19026625. Let n = r + -11875875.000055. Let i = -25 - n. Round i to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -0.2, 9.4, 1\/4, -2?\nAnswer: 9.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.635 + -7.1769. Let w = i + 0.0559. Round w to 2 decimal places.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -30b?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 6*f**2. Let n = -1521\/2 + 762. Let o(v) be the first derivative of 6 + n*v**2 + 0*v. Calculate o(g(i)).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2695 is divided by 2683?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 32. Suppose 2*a = n - 2. What is the remainder when 17 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 0 + 10*t**3 + 0*t + 8*t**2 + 19\/9*t**4 + 1\/9*t**5 = 0.\nAnswer: -12, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24\/5*x**2 + 0 - 26\/5*x + 2\/5*x**3.\nAnswer: 2*x*(x - 13)*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 814449 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 z when two letters picked without replacement from zznqqqvnzzr?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 5*t - t = 18, -2*f = 5*t - 11 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 8:34 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-213 + 207668*k - 207663*k + 70)*(-13*k**2 - 6 - 3 + 10) to the form b + o*k + j*k**2 + v*k**3 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**4\/2 - 895*c**3\/4 - 27221*c**2\/4 + 21197*c\/2 - 3570 = 0 for c.\nAnswer: -30, 1\/2, 1, 476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-31)\/186)\/((-7)\/24)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**3 + 13*c**2 + 2*c + 16. Let v(p) = 2*p**3 + 11*p**2 + p + 15. Let m(o) = 7*v(o) - 6*z(o). Does 10 divide m(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 112, 125, 138, 151, 164?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**4\/3 + 1735474*n**3\/3 - 334646051940*n**2 + 64523997269099208*n + 2065110609124714752 = 0.\nAnswer: -32, 578502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 92360223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) -2\/139 (c) -4 (d) 0 (e) -3 (f) 127\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h**(-7\/6)\/h)\/h)*h**(10\/11))\/(h**(6\/13)\/h)**(-2\/15) assuming h is positive.\nAnswer: h**(21467\/4290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -5*g. Let o(j) = -6*j**2 - 5*j**2 + 13*j**2. Calculate w(o(m)).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 420*x - 6 - 14 + 22 - 2.\nAnswer: 420*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10360\/(-1330) + 56\/6*60\/70.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 e when three letters picked without replacement from {m: 4, c: 1, e: 6, k: 3}.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 8 - 2)*(-4 - 2*j + 4)*(-4 - 41*j + 39*j + 46) in the form s + a*j + i*j**2 and give a.\nAnswer: 672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -6. Suppose -2*l + r*l - 3 = 0. Let h(b) = 11*b + 1. Is h(l) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -131193.8 to the nearest 100.\nAnswer: -131200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.4 - 8.75. What is c rounded to 1 dp?\nAnswer: -6.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1276129 is divided by 39?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9706602 is divided by 1515.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of 0 + 0*j**4 + 0*j**3 + 5*j**2 - 1\/4*j**5 + 10*j. Differentiate b(g) with respect to g.\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13.89 + 78.71. What is w rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**2 - 1. Let x(p) = -3*p**2. Calculate x(r(w)).\nAnswer: -27*w**4 + 18*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 99*n**2 + 6*n + 7. Suppose 5*b + 4*x = -30, -5*x + 19 = -2*b - 8*x. Let j be l(b). What is the highest common factor of j and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 6 + (3 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/5))**(-4\/5)\/(q\/(q**8\/q)*q**9) assuming q is positive.\nAnswer: q**(-87\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7092851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -0.5, 1\/1094071, -5.\nAnswer: -5, -0.5, 1\/1094071, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10\/381 or -1?\nAnswer: 10\/381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.18 and -5.\nAnswer: 15.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dttd when four letters picked without replacement from {n: 4, t: 3, d: 6}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**16\/y*y)**(-17)\/(y\/(y\/y**(1\/12))*y\/(y\/(y\/(y\/y**(-6\/19))*y*y))) assuming y is positive.\nAnswer: y**(-62419\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10 - 1b?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/(-3))\/(-3) - 4*-11. Is 10\/n - (-273033)\/81 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13642245 and 35547?\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7442524 times 0.3\nAnswer: 2232757.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*o - 129*o + 235*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 13*j - 12*j**2 - 6 - 25*j + 3*j + 7*j in the form d + q*j**2 + y*j and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -40642 (base 8) to base 3\nAnswer: -212001022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1140 divided by -19.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 2*b = -8, -14*b - 944 = 5*t - 1000 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 9*v - 8. Let k be r(10). Suppose -k*b = -4*x + 12, -4*x - 2*b = 2*b - 12. What is the smallest value in 1, x, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o - 4*o + 6 + 5 + 3. Let l be z(6). Solve -l*b + 6 = -4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 5*g + 93216, 4*g + 30511 + 31631 = 2*h. List the prime factors of h.\nAnswer: 3, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 17*r**2 - 9*r + 25. Let u be o(5). Calculate the least common multiple of 90 and u\/(-27)*7*(0 - 1).\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 10 = -2*v. Let o = 16 + v. Solve -3*i = -6*i - o for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*q**2 + 140*q**2 - 8*q - 1765 - 1462 - 31*q**2 wrt q.\nAnswer: 164*q - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 + (-8 - (-7 - -21)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - w**2 + 1. Let d be k(0). Let o = 3 + d. Let x = 1 - -3. Solve x*u - 27 + 9 = -5*t, -3*t - o = -5*u for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of l**4\/6 + 6*l**3 - 31*l**2\/2 + 3825*l. Determine d(-19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47 - 24 - 30)*(-657*r**2 - 13*r**3 + 657*r**2).\nAnswer: 91*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2.99242 centimeters?\nAnswer: 29924200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k - 22. Give p(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 39.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 738*p + 726*p - 1456 = 1490*p for p.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6579682 decades to months.\nAnswer: 78.956184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -3*v. Suppose v*r = 5*r - 20. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 712477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1386 = 108*f + 20*f + 26*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4905307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13077 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kc when two letters picked without replacement from {k: 3, c: 3, n: 1, h: 1, z: 1, p: 2}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1947 + 1947. Solve q + 2 = i, 5*q + b*i - 2*i = -7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 q, and 1 k when three letters picked without replacement from {g: 1, m: 2, k: 1, v: 1, q: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 781546 is divided by 2411.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -200729\/39 and -5147 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 57\/(-10) + (6 + -4)\/2. Let j = a + 29\/6. Let c = 2.3 - 2.2. What is the nearest to c in j, -1\/3, 0.01?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -90 at least as big as -729\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 98 = -19*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -25*42\/(-525)*41\/2. Is t < 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + -3. Let l(w) = w**2 - 10*w - 34. Let b be 28\/(-12) - 4\/6. Let n be l(b). Sort 2, n, -2, q in decreasing order.\nAnswer: n, 2, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -w - 28, -3*h + 27 = -5*w - 29. Suppose -s = 6*j - 2*j + h, -s + j + 8 = 0. Solve -s*k = -k + 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*c = -5952 + 5699 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*n, 3*n + 7 + 11 = -2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2836, 3, 5 in descending order.\nAnswer: 2836, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1957 and 53447.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4080*s + 47. Is w(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 414 - 410. Let j = 0.17 + -0.57. What is the nearest to m in 1\/7, j, -4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((242\/55)\/(-11))\/(16\/(-10))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3836423138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/1930734 and 83\/429052?\nAnswer: 3861468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 24263, 24229, 24195, 24161, 24127?\n\"Answer: -34*f + 24297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -55, -113, -193, -295, -419, -565?\nAnswer: -733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 823159 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3105\/46)\/(-45)*(-576)\/24.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z**2 - 3*z + 1. Suppose 317*p + 2622 = 678*p - 292*p. What is the smallest common multiple of p and s(2)?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from fqqqwqwqaqwq.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-2) + (-1578398)\/(-92) + (-12)\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30 - 13 - 10*a - 16)*(2 - 4 + 0)*(-5*a + 10*a - 11*a)*(1 - 6 + 4) to the form k + t*a**2 + i*a and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5.657589 and 412.\nAnswer: 417.657589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 5*g - 3. Let b(l) = -2*l**3 + 5*l**2 + 7*l. Let u be b(-2). Let k = u + -20. Suppose k*w + 4*c + 34 = -w, -3*c + 18 = -5*w. Calculate r(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9 + -7 + -306)*(-5)\/2. What is the greatest common divisor of 684 and c?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/5 - 344998*j\/5 - 29755905001\/5.\nAnswer: -(j + 172499)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10272 - -0.412329?\nAnswer: -10271.587671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*w*y + 12028*w - 630607*y + 12 wrt y?\nAnswer: -3*w - 630607","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 115242200 rounded to the nearest 100000?\nAnswer: 115200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 29.1 and -166332998.85.\nAnswer: -166332969.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**3 - 90*n**4 + 142*n + 35*n**4 + 2 - 5*n**2 - 3 + 54*n**4 to m + v*n**3 + p*n + s*n**2 + x*n**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 614 divide 571020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 313630971 to the nearest integer?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 982 - 13478*j**2 - 40*j**3 + 484 + 13478*j**2 + 42*j**3 in the form w*j**2 + l*j + h*j**3 + b and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 30\/8 + 93\/372. Suppose -3*p + 431 = n*d, -5*p + d + 700 = 4*d. What is the remainder when p is divided by 72?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (9 - 9) - (0 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**3 + g**2 + g + 1. Let s(b) = 41*b**3 + 58*b**2 - 96*b - 8. Let z(p) = -2*s(p) - 10*t(p). Find v such that z(v) = 0.\nAnswer: -3, -1\/31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/4)\/((-8)\/(-2))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 495120 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 1\/12*k**4 + 0*k**3 + 1\/60*k**5 + 0 + 0*k - 1\/120*k**6 - 10*k**2. Factor y(q).\nAnswer: -q*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 613965 + -613964.8979878. Let n = g + -0.102. Round n to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -168*j + 50996 + 126965 + 12215. Is j a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -5*r + 2, -5*h + 2 + 3 = 0. Solve -4*p + u + 4 = r, 3*p + 2*u + 11 - 3 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22347814 and 1441.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 3*v**2 + 3*v - 3. Let h(m) = -m**2 - 12*m + 28. Let n be h(-13). Suppose -2*y - n = 3*y. What is d(y)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-9)\/c**(2\/35))\/(c*c\/c**(-11)*c**(-19)\/c))**25 assuming c is positive.\nAnswer: c**(-360\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -53 (b) 22\/3 (c) 15967\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(0 + 1 - 2)*(4*k**3 + 0*k**3 - 2*k**3).\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7457 - -7460. What is the nearest to 2 in h, -2\/371, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4187 = -8*i + 11309. Suppose 22*x - 5765 = -i. Does 58 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 269086131 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**4 - 32691*l**3 - 4367109*l**2 - 4138233*l + 26006382 = 0. What is l?\nAnswer: -131, -3, 2, 11029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/((-2)\/(1 + -3)). Let d = 4 - 30. Let v = g - d. What is the lowest common multiple of 11 and v?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 578010, 2312063, 5202152, 9248277?\n\"Answer: 578018*r**2 - r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 8:45 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/2)\/((-2)\/(960\/(-4))). Let y = u - -55. Put y, 5, -3 in increasing order.\nAnswer: y, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m\/(m\/m**6))))\/(m**7\/m))**25*(((m\/m**(-6))\/m)\/(m*((m\/m**(-2))\/m)\/m))\/(m**8\/(m*(m*m\/(m\/(m*m**(-2\/13))))\/m)) assuming m is positive.\nAnswer: m**(-28\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 19*u**4\/12 + 5*u**3\/6 + 4*u + 6. Let s(g) be the first derivative of k(g). What is the second derivative of s(c) wrt c?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 + -20. What is the remainder when n is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409202 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1587 is divided by 537?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 128937525 a multiple of 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2994052 is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 188\/24 + 7\/42 - (13 + -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, -5, 2, 0, 13, -233 in descending order.\nAnswer: 13, 2, 1, 0, -5, -6, -233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 12*p - 10. Let c be q(8). Suppose 0 = -j + c + 10. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1099 divided by -12.\nAnswer: -1099\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + -1 + (1 - -1). Suppose -4*x + c = -9, 4*c + 30 - 7 = 3*x. Let z(s) = -s**2. Let p be z(-2). Put x, g, p in decreasing order.\nAnswer: x, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v. Let a(c) = -27*c - 52. Let r(l) = -l + 13. Let y(f) = -a(f) - 4*r(f). Calculate g(y(d)).\nAnswer: 155*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -165 - 367?\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + o + 13 - 8, 2*o - 2 = 2*x. Let t(k) = -x*k + 7*k + k. Let a(q) = 7*q - 1. Calculate t(a(z)).\nAnswer: 42*z - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/55, 0.39, -1, -0.2, 17, 4 in ascending order.\nAnswer: -1, -0.2, 2\/55, 0.39, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 26*h - 57. What is the lowest common multiple of o(-23) and (-6 + 28 - 18)\/(1\/2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 943007 is divided by 521?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/28907964 and -16\/50588937.\nAnswer: 202355748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ah when two letters picked without replacement from heeeeeeyeeaehayay?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3243719 minus -19351170?\nAnswer: 16107451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*k + k. Let s be k + 0 + 0 + -11. Is (-8)\/20 + (-216)\/s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 4*h - h - 6. Suppose -8 = -2*l - 0*q - 5*q, 0 = 2*l - 4*q + 28. Let c(i) be the first derivative of -i**2\/2 + i + 45. Give l*c(n) - y(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**3 + 2*m**3 - 3*m**3 + (4*m + 2*m**2 - 4*m)*(-m - 4*m + 3*m) - 7*m**3 + 2*m**3 + 2*m**3 + 118*m**3 - 1540 + 1540.\nAnswer: 113*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4 - 4 + 1 - i. What is the remainder when l(-4) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 2 = 2*q. Let m(i) = i**3 + 8*i**2 + 7*i - 1. What is the units digit of m(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 848230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 8*a + 378. What is o(-16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*o + 11504*o**2 - 7*o - 22995*o**2 + 11490*o**2.\nAnswer: -o**2 - 29*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9, 1, -33, -105, -227?\n\"Answer: -2*n**3 - n**2 + 9*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1346\/18859 or 0?\nAnswer: 1346\/18859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 31 - -447023?\nAnswer: 447054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/24087 and 155\/16428.\nAnswer: 3564876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1434\/(-717))\/((-568)\/285 - -2). Is s > -287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70\/15)\/(22\/(-33)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 8. Let g be c(7). Suppose -w + 3 = g. Suppose -2*o = u + 1, -w*o - 4*u = -5*o - 7. Which is greater: 5 or o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -250*k**3*n + 3*k**2*n*y - 3*k*n - 4*n*y - 2724*n + y wrt k?\nAnswer: -750*k**2*n + 6*k*n*y - 3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85)*-2*-6)\/(-2*sqrt(500)))**2 + 1.\nAnswer: 178\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1561510 to the power of 1\/2, to the nearest integer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1035\/(-54))\/23*((-20)\/(-275))\/2.\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2134032332 to the power of 1\/3, to the nearest integer?\nAnswer: 1287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (28\/6 - 5)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**2 + 13*f. What is l(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p + 0 + 10 - 7 - 2*p. Let t be y(-2). Suppose 2 = -13*x + t*x. Which is the third biggest value? (a) -5 (b) x (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d + 927 + 910 - 4637 + 930 + 941 + 929.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 1. Let w(u) = -5*u**3 + 3*u**2 + 1. Let t(f) = c(f) + w(f). What is the third derivative of t(m) wrt m?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 4*u = 7 + 1, 10 = -3*z + 5*u for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 8 + (14 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 25a - -66a7?\nAnswer: 6956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 85*x**3 - 2*x**2 + 17*x - 7. Is v(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 8*f**2 + 3. Let k be h(-8). Factor -15*y**3 + 10*y + 48*y**k + 105*y**2 - 471 + 483 + 74*y.\nAnswer: 3*(y + 1)*(y + 2)*(11*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 6*n**2 - 21*n + 80. What is s(6)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**3 - 3*a**2 - 7*a - 6. Let n(f) = 2*f**3 - 2*f**2 - 3*f - 3. Let r(g) = 4*b(g) - 9*n(g). Let o be r(3). Suppose 6*h - 4*h - 74 = o. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g + 7*g - 4 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 804 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.021 (b) 157 (c) -3\/11 (d) 4 (e) -0.2 (f) -1.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11441301, -11441268, -11441233, -11441196, -11441157, -11441116?\nAnswer: -11441073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 866 is divided by 12 + 29\/((-58)\/(-100)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/15864585 and 97\/2340.\nAnswer: 2474875260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -96284.98152 to the nearest integer.\nAnswer: -96285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 - 12 = 11*g. Suppose -6*x = -g*x - 1893. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -26 + 16 + (-6 + 73 + -9 - -7)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 29 and 26.9.\nAnswer: 55.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**3 + 362 - 476*t + 237*t + 239*t - 362.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2160\/768)\/15*8\/3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -932? (a) -4 (b) 3 (c) -0.3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 817, 7273, 25059, 59839, 117277?\n\"Answer: 944*f**3 + f**2 - 155*f + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 11:04 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/3))**(-10\/17))**(10\/3)\/(n*n\/(n*(n*n\/(n\/(n**(-3\/5)\/n)))\/n)*n**2)**(-1\/39) assuming n is positive.\nAnswer: n**(-11827\/9945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-220)*(-50)\/(-6). Let o = -1\/33 + l. Let x = -45 - -179\/4. Which is the closest to x? (a) 5 (b) -4\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67 - 51. What is the lowest common multiple of 80 and s?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**5\/5 - 199*c**4 - 79202*c**3 - 15761198*c**2 - 3*c + 39. Suppose z(q) = 0. Calculate q.\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1432 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/5 (b) 2\/3 (c) 0 (d) -43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 37*z + 316. Calculate f(-45).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5198.979ug in grams?\nAnswer: 0.005198979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 59044074?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1609562 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1416*s + 149*s - 76720 = -627*s for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**3*l**1)**8)**(-20\/3))**37 assuming l is positive.\nAnswer: l**(5920\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 0.055061?\nAnswer: -0.455061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64*o - 63*o + 7 + 121*o to v + u*o and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*n = 3*n - 39, -3*f = n - 55. Let u = -15 - -21. Let l = f + u. Calculate the greatest common factor of l and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 27*l - 202. Let r be v(8). Let q(g) = -g**3 + 18*g**2 - 28*g + 1. List the prime factors of q(r).\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 8:07 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 403406.\nAnswer: 2, 401, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 5*h + 25. Let m be f(-9). Let l = m - 61. Solve 5*c + 4*q - q - 25 = l, 5*q - 27 = -c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 69*k**2 + 15*k - 6. Let i be v(7). Differentiate -2*n + 12*n**3 + 3537 - 10*n**3 - i with respect to n.\nAnswer: 6*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1117.\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1619*f - 1772 - 13895 = 9072 - 454 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -1. Let c be (-8)\/(-16)*k\/(-1). Put 0, -0.2, c in descending order.\nAnswer: 0, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2494 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/((r*r**(4\/7))\/r)*r*r))\/(r*(r\/r**0)\/r*r))\/((r\/r**1)\/r)**(17\/5))\/(r*r**(-2\/23)\/r*r\/(r\/(r*r**(4\/5))))**(-1\/6) assuming r is positive.\nAnswer: r**(1241\/4830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/8 and -53*(-3 - (4\/(-24) + -3)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7491*l**4 - 15528*l**2 + 247781*l + 192.\nAnswer: -89892*l**2 - 31056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 + 1049 = -11*r. Calculate the common denominator of (7\/42)\/((-8)\/33) and 4 - ((-9)\/r)\/((-2)\/(-15)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (-25 + 31 - (1 + -3)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36 - -276614?\nAnswer: 276652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b4 + 3?\nAnswer: -b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 23*n**2 - 26*n - 94. What is the hundreds digit of c(-22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifteenth of a day?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 w when two letters picked without replacement from lllllwll?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5*i**2 - 10*i - 3. Let r(g) = -6*g**2 - 11*g - 4. What is -2*r(u) + 3*x(u)?\nAnswer: -3*u**2 - 8*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 606*i**2. Let j(a) = 7*a**2. Determine k(j(o)).\nAnswer: 29694*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 11*j**2 - 8*j - 7. Let w be 56\/196 - ((-183)\/7)\/3. What is the remainder when r(w) is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6b3 (base 16) to base 10.\nAnswer: -1715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/8*0 + 8. Calculate the greatest common divisor of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6935, 13863, 20791, 27719?\nAnswer: 34647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 374, 2, 1, -1 in decreasing order.\nAnswer: 374, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 37 = -14*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**3 + 4*q**2 - 6. Let d be 10\/30*42 - 9. Let y(h) = -2*h**3 - 5*h**2 + 7. Determine d*y(b) + 6*z(b).\nAnswer: 2*b**3 - b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/10)\/(76 - 433240\/5700)?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.121+7.355\nAnswer: 7.476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -99*m - 2*m**2 + 0*m**2 + 73*m to the form t*m**2 + c + g*m and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000186487 to 5 decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 2*t**2 - 6*t - 1. Let g be u(-4). Let i = -26\/3 - g. Let c = 1 + -1. Which is smaller: c or i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 53, 121, 189?\n\"Answer: 68*k - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 11*o**2 - o - 7. Let g be k(-11). Let h be g + 2 - (7 - 2). Let t(u) = 1 + 10*u - 2*u - h. Let w(y) = -4*y**2. Give t(w(a)).\nAnswer: -32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1977420, -3954837, -5932252, -7909665, -9887076, -11864485, -13841892?\n\"Answer: m**2 - 1977420*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0483 + 2.9417. Let u = 0.01 + z. What is the closest to -1 in u, -1\/3, 1\/8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 27*x**2 - 26*x + 1. Let w be f(-26). Put -4, w, 5, 9 in decreasing order.\nAnswer: 9, 5, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.08384 and 10?\nAnswer: -10.8384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j**3 + 4*j**3 - 3*j**3)*(-2*j + j + 2*j) + 7*j**4 - j**4 - j**4 to the form c*j**4 + z*j**3 + y + b*j**2 + r*j and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 10, 2, -11, 0 in ascending order.\nAnswer: -11, 0, 2, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -12b2a?\nAnswer: -12b26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*z - 6*z - 69 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 53876 and 4.\nAnswer: 215504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19.4 - -20. Let q = p - -46.4. Let l = 42 - q. Which is the fourth smallest value? (a) -1 (b) -2 (c) 4 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 896308, 1792531, 2688754, 3584977, 4481200, 5377423?\n\"Answer: 896223*x + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5\/(-4 + 8 - 3) and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, w: 2}. What is prob of picking 2 y and 2 w?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 0, -d + 6 = -0*s + 3*s. Suppose -10 = 5*l, -2*j + d*j - 20720 = -4*l. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 57.36676g?\nAnswer: 57366760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 3*a - a)*(-1 + 2 + 0) - 2 + a + 2 + (-1 - 2 + 1)*(-1 + 2*a + 1) - a + a + a - 2*a + a + 0*a + a + a + a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50670.75l to millilitres.\nAnswer: 50670750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 326*y**2 + 12*y - 5 + 12*y**2 - 337*y**2 - 7*y**3 as q + w*y**2 + k*y + g*y**3 and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/(-15) + 2)*9\/(-21)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -222264093 or -1111320464\/5?\nAnswer: -222264093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 717654827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 5*u + 36. Let s(x) = 3*x + 46 - 2 - 12 - 14. Let t(n) = -6*r(n) + 13*s(n). Let d(j) = -14*j - 27. What is -5*d(m) - 8*t(m)?\nAnswer: -2*m - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22576 = -1009*f + 24594 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 511 a factor of 515599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.859064 to two decimal places.\nAnswer: -4.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1708320 divided by -12\nAnswer: 142360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1646 - 0.0354. What is the nearest to -3 in 2, -0.3, -0.1, c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 a, 1 n, and 1 v when four letters picked without replacement from {v: 1, a: 1, j: 9, n: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(272) + 0 + 4))**2.\nAnswer: 512*sqrt(17) + 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**5\/6 - 9*v**4 - 232*v**3\/3 - 539*v**2\/3 - 325*v\/2 - 154\/3 = 0.\nAnswer: -44, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1688 = -a - 7*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2718797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(2*y**3 - 570*y**2 - 564*y**2 - 92*y + 1134*y**2).\nAnswer: -4*y**3 + 184*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2252540283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 1 + 4 + 1 + h. Let p = -16 + 10. Let k be w(p). Solve 0 = -k*b + 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**3 - 8*b**2 - 6*b + 1. Let u be z(4). Suppose t + q = 59 + 2, -t = -3*q - u. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 9. Suppose -4*m + 3 - 23 = 0. Let z = m + 7. Which is greater: z or f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/12 - ((-15513)\/12 - -5). Suppose -18*i = -41*i + h. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0496227kg in tonnes?\nAnswer: 0.0000496227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 d, and 1 y when three letters picked without replacement from pyxyiid?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1928 + -1927.9. Let k = 13 - -7. What is the nearest to 0 in 0.4, n, k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 divided by -1237?\nAnswer: -94\/1237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nng when three letters picked without replacement from ssnnssgcso?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -442 - -252. Let g = 289 + m. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3706 and -2.\nAnswer: 7412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 2:32 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3 * -0.41.\nAnswer: 0.533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 725, 737, 771, 839, 953, 1125, 1367, 1691?\nAnswer: 2109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t + 28*t + 84 = -2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.12124354 - 3.177244. Let k = -22.944 + 23. Let f = k + j. Round f to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 32*n - 37*n. Let m be n\/4 + 78\/8. What is the greatest common factor of m and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -246*t**2 + 16*t - 16. Determine i(1).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 3. Let v = -5 - -6. Let a = -1 - v. What is the lowest common multiple of s(a) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, a: 6, c: 1, p: 5, s: 1}. What is prob of sequence cs?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*b = -3*o + 10, -b = -3*o + 17. Solve -9*s - o*s + 30 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -761.47 + 821.1. Let w = l - 0.63. Let g = 59.064 - w. Round g to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ux when two letters picked without replacement from {v: 3, u: 2, x: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-94 - 120) + 213 + (-1 - 52).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 2*m**2 + 1. Let w(g) = g**3 + 18*g**2 - 10*g - 8. Give w(j) + 8*z(j).\nAnswer: -7*j**3 + 2*j**2 - 10*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-13 - (-6 - 13) - 92)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - c**2 - c - 8. Let f be 1 + 4\/(-1) - -11. Let h = 4 + f. Let l = h - 12. Calculate o(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - 0.1. Suppose -5*z + 21 = -4*r, -2*r = 4893 - 4885. Which is the nearest to z? (a) d (b) 2\/5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 + 1 - 16)*(-21*w**3 + 10 + 7*w**3 - w**2 + 16 + 51) as u*w + a*w**3 + b + l*w**2 and give a.\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + u - 2*u)*((-2*u - 3 + 3)*(5*u + 0*u - 6*u) - 47*u**2 + 73*u**2 + 69*u**2).\nAnswer: -97*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6*d**3 + 3*d**2 + 2*d + 3. Let o(n) = n**3 - 63*n**2 - 138*n + 523. Let s be o(65). Let v(a) = -5*a**3 - 2*a**2 - 2*a - 2. Calculate s*v(p) + 2*b(p).\nAnswer: -3*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**5\/30 - 38*k**2. Let y(l) = 11*l**2 + 2. Calculate w(y(c)).\nAnswer: 242*c**4 + 88*c**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/19? (a) -0.4 (b) -7\/4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 2\/27*q**4 + 1\/27*q**7 - 2\/135*q**6 + 7\/27*q**3 + 2*q + 0 - 7\/45*q**5 - 2\/9*q**2. Let i(k) = 0. Calculate k.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 0 = -2*f + 20, -m + 40*f = 45*f + 14421 - 14427 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 149924.709ns?\nAnswer: 0.0000000017352396875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**4 - 207*l**3 + 12132*l**2 - 145152*l + 331776 = 0 for l.\nAnswer: 3, 12, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1215*j + 42513*j**2 - 1217*j + 3137*j**2 + 11186*j**2.\nAnswer: 56836*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**2 + 0*t + 0*t + 0*t + 0*t + 2*t**2 + (-2 + 2 - t)*(-2286*t + 4925*t - 5966*t).\nAnswer: 3327*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -39*w + 97. Is o(-8) a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19178.1 + -19177. Let p be 3\/(-4) - (-2)\/8. What is the second biggest value in -1\/6, p, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -68) + 4482 + -4511.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1160 and 928.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5+0.1337\nAnswer: -4.8663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 13, t: 3}. What is prob of picking 3 t?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (-5 - -3 - 1). Suppose -o = m*q - 32, 5*q + 9*o - 4*o = 60. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -6*s + 8*s. What is the least common multiple of 16 and s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**2 + d + 10. Let l(y) = 5*y**2 - 3*y - 21. Determine -7*h(z) - 3*l(z).\nAnswer: -z**2 + 2*z - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12\/5 - 98\/45. Let h be 3912\/360 + (2 - 13). Which is the closest to -7? (a) h (b) 5 (c) 3 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1664 divided by 5?\nAnswer: -1664\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250680.\nAnswer: 2, 3, 5, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 305292056 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/(-8))\/((-1)\/(-6)). Let u = k + 12. Suppose -f - 154 = -u*f. Calculate the highest common factor of f and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*z - 29 = -0*z, -j + 4*z + 31 = 0. Suppose -2*n + 5*l + 90 = 3*n, -5*l = -j. Let s = n + -9. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2 = -2*o. Calculate the common denominator of (35\/(-1))\/(4 + o) and -43\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-80)\/3)\/(17\/(-51)) and 110?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 252\/14*-4*12\/(-720)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4.9941279 nanoseconds?\nAnswer: 0.00000000000138725775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 22.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -8*r**2 + r - 1. Let j be t(1). Let b be (12\/30)\/(j\/(-10)). What is the nearest to -2\/9 in b, 2, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.5104637mg?\nAnswer: 510.4637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*q**2 + q - 3*q + 4*q**2 + (2*q + 2*q - 3*q)*(-3*q + 3*q + q) + 2*q**2 + 0*q**2 - 4*q**2.\nAnswer: 9*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 0.2, 18, -0.4, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 60 + 11. Solve -2*c - 5 = -o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -8*b + 5. Suppose -2*a - b = -3*a. Solve 2*c + a*h - 2 = h, -5*c = 2*h + 19 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92105809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2. Let r(n) = 26*n + 119. Let k(g) = 4*g + 5*g - 301 + 342. Let b(o) = 17*k(o) - 6*r(o). Determine b(i(t)).\nAnswer: -3*t**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 874 = -3*h. Suppose 488 = -5*v - h. Let j be v\/(-15) + 2\/3. Solve -n + 2*n = 2*a + j, -5*a + 5 = 5*n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/(-15)*-5 - 2. Let j(p) = p**3 + 12*p**2 - 19*p - 29. Let c be j(-13). Calculate the highest common divisor of b and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*n**3 - n**3 + 4*n**3)*(2 - 1 - 3) + n**2 - n**2 - n**3 - n**3 - n**3 + 4*n**3 + 0 + n**3 + 0 + 5*n**3 - 3*n**3 - 4*n**3)*(-8 + 7*n**2 + 8).\nAnswer: 14*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5845374, -23381530, -52608468, -93526188, -146134690, -210433974?\n\"Answer: -5845391*p**2 + 17*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 12*q + 1. Give i(-6).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s**2 + 5*s - 11. Let h(j) = j**2 - j + 2. Let c(u) = 2*d(u) + 11*h(u). Give c(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = 2*s + m + 141, 2*m = 3*s - 53. Solve -2 = u - 5*k + s, 20 = -2*u + 4*k for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1075070865 + 1075070841.99999916. Let c = t + 23. Round c to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4689.\nAnswer: 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 19.66, 0.1, 2\/5, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1328 - 951. What is the remainder when h is divided by 35?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3375*w - 1682*w - 1691*w + 35)*(8*w - 22 + 22) in the form v*w + p + h*w**2 and give v.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*w - 440 = -28*w. Solve -18 = 3*j - h - 2*h, 25 = -w*j + 4*h for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 742808 by 2024.\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 1235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 12. Is -3\/11 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.41 + 130658.\nAnswer: 130657.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4631132 + 1?\nAnswer: 4631133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*f + 25890 = 24993 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 168 = -12*w. What is the remainder when w is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**2*w**3 - p**2*w**2 + 6293*p**2 - p*w**3 - p - 26384*w wrt p?\nAnswer: -2*w**3 - 2*w**2 + 12586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggggggyggygggggggg. Give prob of picking 1 y and 2 g.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.57661 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -6 + (2 + -1)\/7 + 207870\/210 and 1476?\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -69, -2, -10, 3\/10, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jcsgw. Give prob of picking 1 w and 1 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a. Let d(m) = -784784020*m**2. What is d(j(i))?\nAnswer: -3139136080*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -9*v**2. Let b(m) be the first derivative of m**6\/360 + 13*m**3\/3 - 22. Let a(s) be the third derivative of b(s). Give a(o(y)).\nAnswer: 81*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiivvvigiizvc. Give prob of picking 1 v, 1 g, 1 i, and 1 c.\nAnswer: 32\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 13 - 17. Let i(x) = 1 - 5*x + 0*x - s*x + 6*x. Give i(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 t, and 1 j when three letters picked without replacement from {j: 6, m: 3, e: 5, r: 2, t: 1}?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5766203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of h**2 - 10*h - 18. Let x be b(6). Solve -6 = -k - x*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1881 or -3.43?\nAnswer: 1881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 1110?\nAnswer: -1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -561 - -569. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -19813, -79701, -179507, -319231, -498873, -718433?\n\"Answer: -19959*v**2 - 11*v + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55796 is divided by 27896.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 15*b - 8*b - 8*b. Let w(x) = -x**2 + 3*x + 1. Give -3*u(h) - w(h).\nAnswer: h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 17830*y + 10. Let z = -26 - -19. Let m be c(z). Let v be (-7625)\/4*m\/13. What is v rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqsssqsqqgqqsqqqqq. Give prob of picking 1 g and 1 s.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2*x + 130 = 0, 34 = -5*n + 5*x - 136. Let j = n + 46. Let v(m) = -6*m**2 + 0*m + 0*m + j*m**3 - 12*m**3 - 7. Calculate v(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2 = 3*u, 4 = -5*d - u - 0*u. Let v be 30 + (-3 - (-2 - d)). Let z be 4 - (-2)\/(6\/9). Calculate the greatest common factor of z and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 5*q**2 + 2*q - 7. Let u be c(5). Suppose 0 = 12*y - 11*y - u. Solve -3*x - 12 = -y for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(896))\/(2*sqrt(648)).\nAnswer: -4*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 10*p + 29. Let r be g(-3). Let u be 420\/(-84) + -31*r\/6. Factor 5\/6 + u*f**4 - 4\/3*f**3 + 3*f**2 - 8\/3*f.\nAnswer: (f - 5)*(f - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 22 + 4\/9*a**3 - 16\/3*a - 2*a**2. Solve f(k) = 0 for k.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216149 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 197809835 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*y + 37 + 21 = -80 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13\/(-20) - 1\/(-4). Let h(p) = -198*p - p**2 - 200*p + 379*p + 13. Let b be h(-20). Is b greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 10) to base 3\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -3*m - 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 0.9. Let t = -0.1 - m. Let z be (5 - 1)*(-21)\/42. Which is the nearest to -1? (a) z (b) t (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*i + 24091 = 25238 for i.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4b (base 15) to base 11\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**3 + s**2 + 3*s + 1. Let t be (-1 + 2)\/((-1)\/2). What is the tens digit of u(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**4 - 3*r**4 + 2*r**4 + (0*r**2 + 0*r**2 + 2*r**2)*(8*r**2 - 4*r**2 + r**2) to p*r + v*r**4 + q + j*r**2 + x*r**3 and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11907\/10 - -1192. What is the common denominator of l and 0 - ((-64)\/(-6) + 0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1323113231 - -322?\nAnswer: 1323120213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**8\/1008 - m**7\/630 + m**6\/72 - m**5\/60 + 4247*m**2. Let i(k) = 0. Calculate k.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 71 and 9.\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 1988*t**2 + 10*t - 18. Let l be z(1). Calculate the greatest common divisor of l and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6*z**2. Let a(j) be the first derivative of 7*j**5\/30 + 3*j**2 + 16. Let i(p) be the second derivative of a(p). What is i(d(t))?\nAnswer: 504*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 j, and 1 g when three letters picked without replacement from cneccecceegcjccjcc?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9308)\/537)\/(((-6)\/15)\/(12\/10)*-1).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (-1)\/(4\/32*4). Suppose 0 = 9*v - h*v + 105. Is 69\/v + 5 - (-443)\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**2 - 5*y - 5. Let l(m) be the second derivative of -m**4\/12 - m**3 - 3*m**2 + 114*m. Determine 5*l(j) - 6*u(j).\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -89, -167, -297, -491?\nAnswer: -761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 198666028 plus 4059?\nAnswer: 198670087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 - 2*t - 10 + (6 - 1 - 2)*(116*t - 115*t + 207*t).\nAnswer: 622*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/5*15\/(-18).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*w = -58*w - 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 268511214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 q, and 1 h when three letters picked without replacement from {u: 9, h: 2, f: 3, q: 3, e: 1}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 5*u**2 - 32*u - 210. Is r(23) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 3*l**2 + 2*l + 8. Let b be v(4). Let w = 24 + b. Calculate the lowest common multiple of 36 and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y = -3*y + m + 45, -2*m + 6 = 0 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/50 of a micrometer?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m. Let c = 13 - 3. Let j(s) = 3*s - 1. Let p(x) = x + 1. Let n(u) = j(u) + p(u). Let l(h) = -7*h. Let o(v) = c*n(v) + 6*l(v). Determine d(o(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 1. Let p = -869 + 874. Let a(z) = -7*z - 13. Let d(q) = -12*q - 22. Let o(c) = p*a(c) - 3*d(c). Calculate o(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 2. Let i = -6031\/22 - -557\/2. Let m = -347\/77 + i. Which is smaller: m or x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (0 - -13 - 6) + -15 - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - c - 2. Let g be x(2). Let p = -378 - -398. Suppose 8*q - p*q = g. Solve q = -4*z - 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -0.5 (c) -75 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.83 - -0.8. Let j = 0.216 - -0.814. Let d = p + j. Which is the nearest to 0? (a) 5\/4 (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/15 and 37\/460?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*y = 27*y - 14*y + 4055835. What is the ten thousands digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 12*f - f - 6 = 6*f + 5*f + f, 0 = -251*j - 4*f - 1012 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55*(-4)\/352)\/(25 - 0)?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -657 divided by -3\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 2392*i - 2391*i + 1, -8*f = -i - 36 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6.5118, -12 in descending order.\nAnswer: 0, -6.5118, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 4*r + 3. Suppose -x = 3*j - j - 4, -4 = j + 2*x. Suppose 10 = -2*f + j*f. Calculate l(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + q + 3, 5*u - 3*u - 3*q = -11. What is the tens digit of u\/8 + 71\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -534, 224, 1496, 3288, 5606, 8456?\nAnswer: 11844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2613.696 rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 0*x + 2*x - 236, -3*x + 174 = 3*i. Let u be 3*(-4)\/(-30)*-120. Let l = u + i. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 422 + 423 - 841 + 74*y**2 - y**2.\nAnswer: 73*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -91727547326.\nAnswer: -91727547322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4 + 5 + 3*s - 2 + 2*s**3 + 0 - s. Let m(n) = -3*n**3 - 2*n + 2. Let g be ((-2)\/(-4))\/(5\/30). What is g*m(b) + 4*y(b)?\nAnswer: -b**3 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 567 + -4527\/8. What is the common denominator of -29\/22 and k?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -2. Suppose 3*b + 15 = c, 5*p + 3*b - 129 = p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02883 to three dps.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0025 and -10307?\nAnswer: 10306.9975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52645432 is divided by 417?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/5)\/(-3)*40\/90.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 2. Let t(a) = -5*a**2 - 4. Let h be t(4). Let s be 36\/h - (-6)\/14. Let z be x(s). Solve -z*l + 20 = 5*k, 3*l + 12 = 6*k - 3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -p + 15. Let l = p + 2. Does 2 divide (-3 + 7)*(l - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -3*m - 271, y + 3*m + 2*m = 71. Calculate the lowest common multiple of 36 and y.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*o + 128*o - 63*o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*sqrt(637)*-3 - (sqrt(637) + (sqrt(637) - -4*sqrt(637)*6))) + (-1 + -3*(sqrt(637) + sqrt(637) + 2))*-5)*-3)**2.\nAnswer: 70560*sqrt(13) + 1478673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 68 - 64. Suppose -y*g + i + 2*i = -26, 18 = 2*g - 4*i. Calculate the smallest common multiple of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2054711 and 9229.\nAnswer: 22601821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 6:15 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -18*y - 3*y**2 + y**3 - 10*y**2 - 6*y**2 + 0 - 21. What is the tens digit of a(20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101000101 (base 2) in base 8?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 - 52. Suppose y + r*y = 329. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 5:36 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/89792 and 91\/2806.\nAnswer: 89792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5874*k + 1362. Let q be f(42). Round q to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**5\/7 - 18*u**4\/7 + 97*u**3\/7 - 24*u**2 - 44*u\/7 + 240\/7 = 0.\nAnswer: -1, 2, 3, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a**2 + 2*a + a**3 + 2 + 3 + a**3. List the prime factors of u(3).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 46 = -49. Suppose -2*d - 3 = -15. Calculate the smallest common multiple of (-1 + 2)*(m + 1) and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 9754*f - 23. Let r(k) = -807*k + 2. What is 70*r(x) + 6*y(x)?\nAnswer: 2034*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*n + 23 = 0, 0 = a - 5*n + 17 + 4. Solve 5*w + 3 = -4*y - 20, -a*y = w + 11 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a - 3963 = -11019. Suppose -423*l = -431*l + a. Calculate the greatest common divisor of l and 504.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5221 to the nearest 100.\nAnswer: -5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-122)\/(-8)*(-2 + -518)\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -13, -24, -1082 in decreasing order.\nAnswer: 5, -5, -13, -24, -1082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3264908 is divided by 13718?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3026364823 and -7870.\nAnswer: -3026372693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 8) to base 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38562?\nAnswer: 2, 3, 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - sqrt(45)*-5)**2 + (3*sqrt(5)*1)**2.\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from rfrrrfrrrffrrrfr?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 54 = 3*s, 39*y + 27 = 3*s + 37*y for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) 0.5 (c) -3 (d) -0.049\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113699806?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 - -2.5. Let n = -9 - -5. Let a = 3 + n. Are a and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9224 (base 15) to base 5.\nAnswer: 1441414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15.482 from -108.5730836.\nAnswer: -93.0910836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, k: 1, p: 1, h: 2}. What is prob of sequence khbh?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1881 and 5225?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1102 - 1099. Let h(y) = -2*y - 6. Let t(g) = -3*g - 7. Let n(i) = 3*i - 3. Let k be n(2). Suppose -k = -3*u - 15. Calculate d*t(l) + u*h(l).\nAnswer: -l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**4\/c)**43)**37*c**(-2\/3)\/c**8*c**(-6)\/(c*c\/(c*c**(-1))*c) assuming c is positive.\nAnswer: c**(19039\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.0578, 10.5, -2, 37, 0.5, 0.09?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xllfoxxpxlxpx. Give prob of sequence pp.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 66337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 6*f. Let z be 128\/56 - 4\/14. Suppose f = -z*d + 4*d - 10. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17020 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2*x - 10, -10 = -4*x + 2*j - 3*j. Suppose x*u = -5*h + 130, 2*h - 33 = -2*u + 55. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*o - 30 = -56*o. Let a(u) = -10*u + 20. Let c be a(o). Suppose 2*j - 112 = -2*k, k + j = 6*j + c. Calculate the smallest common multiple of 16 and k.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8187 + -8075. What is the smallest common multiple of h and 6?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-4)*(3483\/24)\/387?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - f + 7*f + (6 - 2 - 2)*(-1 - f + 1) + f + 3*f - 6*f - 3*f - f + 5*f + (6*f - 2*f + 0*f)*(-2 - 5 - 1))*(-1 + 2 - 2).\nAnswer: 31*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 15)\/(6*(-2)\/(-3))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2797116*n**4 - 15236*n**2 - 4*n - 4 wrt n.\nAnswer: -67130784*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - 698062?\nAnswer: -698079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -16*r**2 - 5*r - 4. Let t(d) = -d**2 - d - 1. Let f(x) = x**2 + 4*x + 5. Let g be f(-4). Let w(v) = g*t(v) - z(v). What is the units digit of w(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 1. Let z(b) = -2*b + 10. Let h(x) = 3*c(x) - z(x). Let f be h(8). Sort -3, f, 0.\nAnswer: f, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50635792.\nAnswer: 2, 17, 186161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -29*p - 58. Let o be t(-2). Solve o = -8*k + 4*k + 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 11:07 AM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 22, 1\/3, 0.2, 80800\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a**3 - 55*a**3 + 5*a**3 - 23*a**3 - 991.\nAnswer: -80*a**3 - 991","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -0*v - 10. What is the third derivative of 2*a + 2*a - 4*a + 4*a**2 - 2*a**v wrt a?\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 823074140?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 67 - ((8 - 37) + 41)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2176 + -795. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19d23 (base 14) in base 10?\nAnswer: 65691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48661 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202101200 (base 3) to base 7.\nAnswer: -61230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rffr when four letters picked without replacement from {f: 1, n: 1, r: 2, v: 2, t: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 11. Let g be v(5). Let p be 0\/(-2*3\/g). Let x = 2 + p. Solve -x + 0 = -j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 194 - 191. Suppose z = -3*j + 321, z - 311 = -4*j + g*j. Is z a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/5 (b) 192\/25 (c) -3 (d) 5 (e) 0.1 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457335674?\nAnswer: 2, 228667837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -156 divided by -39\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -710 by 2.\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/811299963 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -148, -322, -566, -880, -1264, -1718?\nAnswer: -2242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - (-12 - -10)) + 0 + 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.63 from -4.\nAnswer: -6.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) -266\/9 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -304*c**3*t - 1201*t wrt c.\nAnswer: -912*c**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 4) + 8 + -7 + -5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17414 less than -173101.87?\nAnswer: -190515.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.053 and -1663745334283?\nAnswer: 1663745334282.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40 + 334103322?\nAnswer: 334103242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 20*f**3 - 10*f. Let l(p) = -10*p**3 + 4*p. Let w(r) = 5*l(r) + 2*n(r). Let q be 0*4\/12 + 2 + -4. Let y(z) = 21*z**3. What is q*y(o) - 5*w(o)?\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/12? (a) -1.19 (b) -1\/2 (c) -7 (d) 5 (e) 0.5 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1456.22 - -1459. Is -6 at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 418824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -24. Suppose -2*z = 5*h - 3, h + 5*z - 3 = -f. Solve b + h = -3 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + sqrt(17)*2).\nAnswer: -10*sqrt(17) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 127540429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, h: 1, u: 2, g: 5, r: 2}. What is prob of picking 1 h, 2 u, and 1 b?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10075 and 6851?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**3 - 37*c**3 + 0*c**3 + 34*c**3 + 2*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 173*w**2 + 15055*w + 357. Give t(-87).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 9:13 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**2 - 1. Let y be q(-1). Suppose 14 - 2 = y*s. Suppose -5*w = -6*t + s*t - 69, 3 = w - 4*t. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11064 divided by -5532\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f\/f**(1\/5))))**(-4\/15))**(-13\/5) assuming f is positive.\nAnswer: f**(208\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3071\/2 - -39927\/26. Suppose 0*p = -4*i - 2*p + 4, 4*i = 2*p - 4. Factor -j*w**3 + 4\/13*w**2 + 6\/13*w + i.\nAnswer: -2*w*(w - 3)*(w + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, 1.419, -200?\nAnswer: -200","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 695032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 5*f + 123. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7319*o**6 + 73*o**5 - 5*o**3 + 45177498*o**2 wrt o.\nAnswer: -878280*o**3 + 4380*o**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16329 + -16557. What is the nearest to i in 2\/13, 2\/5, -0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2629832, 5259672, 7889520, 10519382, 13149264, 15779172, 18409112, 21039090?\nAnswer: 23669112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9498, -38010, -85554, -152148, -237810, -342558, -466410?\n\"Answer: -3*y**3 - 9498*y**2 + 3*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7f5 + 4aa2?\nAnswer: 5297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 6 = 5*b. Let s(w) be the second derivative of -w**3 + 10*w - 3*w**b + 8*w - 8*w. What is the first derivative of s(u) wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4501500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -78 + 37 + 39 + 3*m. Give r(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15875 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.38 in 0.5, 5, -2, -1.22, -176?\nAnswer: -1.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 174364215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -22. Is 4 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -1\/120*o**6 + 0 + 1\/16*o**5 + 1\/8*o**3 - 7\/48*o**4 + 0*o**2 - 9*o. Factor g(u).\nAnswer: -u*(u - 3)*(u - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11611339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -256.89 rounded to 0 dps?\nAnswer: -257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320 is divided by 62?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -5 (c) 21\/55 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**4\/g)\/(g\/g**1)*(g**(-2\/9)*g*g)**(5\/17)*((g*g**2)**(-16\/7))**7 assuming g is positive.\nAnswer: g**(-6652\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/3 + 4907*i - 27318796\/3.\nAnswer: (i - 1667)*(i + 16388)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8476001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/1539 and (19 + 27356\/(-1440))*332\/3.\nAnswer: 15390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - d**2 + 6*d - 4. Let g be w(-3). Let c be (-53)\/g - (46\/(-8) - -5). Solve -p - 3 = 4*h, -2*h + c + 1 = -5*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451295228.\nAnswer: 2, 743, 151849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*r**4\/2 + 1403*r**3\/2 - 22457*r**2 + 149936*r - 139840 = 0. What is r?\nAnswer: -184, 10\/9, 8, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -725376, -725317, -725250, -725169, -725068?\n\"Answer: o**3 - 2*o**2 + 58*o - 725433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.6 - 2. Which is the nearest to j? (a) 6\/11 (b) -0.1 (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + -6 + 11 + -2. Put o, 2, -3 in descending order.\nAnswer: o, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 28677 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 798*g - 845*g + 611 = 0 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, p: 1, s: 2, u: 1, j: 2, o: 4}. Give prob of picking 1 j, 2 q, and 1 u.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1740 + 513. Let m = 49539\/22 - i. Find the common denominator of 71\/80 and m.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2196, 8792, 19790, 35190, 54992?\n\"Answer: 2201*j**2 - 7*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = -2*y - 2*r + 459, 5*y + r - 835 = 0. What is the remainder when y is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*w**3 + 9 - 3*w**2 - 197*w**3 + 4 wrt w.\nAnswer: -1032","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -37*r - 774. Let b be g(-21). Let l(d) be the second derivative of 0 + 2*d**2 - 1\/2*d**b + 14*d. Give l(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 2*n + y, n + 8*y - 3*y = -32 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(420)\/(5*sqrt(84)\/sqrt(7)))\/((sqrt(720) - ((sqrt(720)*2 - sqrt(720) - sqrt(720)) + sqrt(720) + sqrt(720)))*4).\nAnswer: -sqrt(7)\/240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((11 - 5) + -10 + 16 + 18).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - -57.8. Let a = 56.22 - x. Round a to 1 dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -6\/5653483?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2 = -j - 0, 0 = -5*j - 2*o + 18. Suppose 4*g + 1 = j*p - 5*p, -12 = 3*g. Is 3 a factor of -2*p\/(-2) - (-20)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 4*j + 5*k + 6, 3*k = -5*j - 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -30*n**2 - 12*n - 15. Let k = -123 - -116. Let u be t(k). Find the common denominator of -97\/8 and u\/459 - (36\/3)\/(-4).\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0*s**(-3\/4)\/s)\/((s*s*(s*s**9*s)\/s)\/(s*s**(1\/8)\/s)) assuming s is positive.\nAnswer: s**(-109\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a gram in milligrams?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2 - 3*z - 1. Suppose -5*r + 85 + 35 = 0. Suppose 3*q + 6 = 5*m + 7*q, -r = 2*m - 5*q. Determine d(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 177 = 4*o, -2*o + 9*w = 10*w - 93. Calculate the highest common divisor of 18 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 761 a factor of 218381887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.395777 to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 379 = -61. Let q be (3\/5)\/((-2)\/a). Solve 0 = 5*z + 25, 3*b + 5*z = -b - q for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 0. Find the second derivative of 8*q**3 + 0*q**3 + 5*q + 9*q**o + 17*q wrt q.\nAnswer: 102*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9190*n**2 + 4*n + 9190*n**2 - 4*n - 7*n**3 + 0*n.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/((-2)\/58 - (-11529)\/16443).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 210784*t + 1053938. Determine b(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10218 - 30652\/3. What is the closest to -8 in 90, h, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x + 2*x - 5*x + (x + x - 4*x)*(3 + 2 - 6) + 2*x - x - 2*x + 5 + 2*x - 5 - 2*x + 0*x + x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 5*g**2 + 3*g. Let w be h(-4). Suppose -6 = w*c + 2. Let b be 1\/((-6)\/4 - c). Solve -b*i = -3*v + 2, -2*i = -4*v - 0*v + 6 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 8:39 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 + -362. Which is greater: u or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(57)\/sqrt(3) - (-3 + sqrt(76))) + (((-2*sqrt(76) - sqrt(76) - sqrt(76)) + sqrt(76))*-1)\/sqrt(4).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2665 - -2695. Solve 9*d + u = -6*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -159379, -159371, -159349, -159307, -159239, -159139?\n\"Answer: i**3 + i**2 - 2*i - 159379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232899 = 42*c - 231051 for c.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pb when two letters picked without replacement from bffpwibwwwpb?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1460284002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-552)\/4968 - 35\/9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -749*o**3 - 1873 wrt o?\nAnswer: -2247*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 2*v - 1. Let g be j(-2). Suppose 2*w + 4*u = -4, -3*w - 3*u - 4 = u. Let i be (-7)\/2 + (-2)\/4. Sort w, g, i.\nAnswer: i, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*8.1.\nAnswer: 48.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -2\/3, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 6. Suppose 3*a - 8 - 4 = m. Let y = 2008 - 2002. Calculate the highest common divisor of a and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1029 + -1029.03708. Round o to three decimal places.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 - -21. Let k(q) = -4*q - 8. Let l be k(r). Suppose 3*i = -3, -h + 3*i + 25 = -l. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*t + 4 = 52*t. What is the tens digit of (2698\/(-19))\/(t\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 5 - 3*r**2 + r**2 + r**2 + 9*r**2 - 3*r**2 + (-1 + r + 1)*(-r - r + 0*r) - 2*r**2 + r**2 + 2*r**2.\nAnswer: 4*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*z + 4118 = -861 - 1035 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2123 (base 4) to base 6\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 642144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (35\/10 - (-1)\/(-2)) + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 14*a - 1. Let v(x) = -1721*x + 3437*x - 1729*x. What is 2*c(b) + 3*v(b)?\nAnswer: -11*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -275*z**6\/24 - 4461*z**4\/8 - 3699*z**2. Find the second derivative of j(r) wrt r.\nAnswer: -8250*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295*j + 2286 = -93*j - 138 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**6\/120 - o**5\/20 + o**4\/12 - 7*o**3\/6 - o**2. Suppose f + 2*y = 1, 5*f = 4*y + 7 + 26. Is r(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -0.3, 172 in descending order.\nAnswer: 172, 1, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40*s**2 - 943.\nAnswer: -80*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 279\/12 + 198\/264 and 0 - (-1 + -45) - -2.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1451.13514826 - 0.89287874. Let k = y + 1452. Let j = 0.028 + k. What is j rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17485048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2. Let o(w) = 16*w - 16804. What is o(z(t))?\nAnswer: -16*t**2 - 16804","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*a - 69*a = 176. What is the closest to 9 in 1\/8, 1\/3, 45, a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -1\/3 (b) -3\/4 (c) -1\/5 (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2 = 2*v, 5*v - 2*z = 3 + 11. Differentiate -3*k - v - 1 + 2 wrt k.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000110 + 110?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4782126\/13 + 367684. Let s = 172 + n. Suppose x = 4 - 3. Which is smaller: x or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y + 2 - 3*y**2 + y + 2*y - 11*y to p*y**2 + g + t*y and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -2852.14.\nAnswer: 570.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 14 - 26 + 172*v + 43. Is f(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -216149100 divided by 108074550\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3735 is divided by 248.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 1. Let w be t(9). Suppose 0 = 3*z - 2*q - 20 - w, -22 = -2*z + 2*q. Let a = 3 - z. Let c(i) = i - 3. Calculate c(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24\/11 + -50\/33. Put 5, -1\/5, -3\/4, r in ascending order.\nAnswer: -3\/4, -1\/5, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253849213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 5*j + 15, 5*j = 4*v + 15 - 40. Suppose 2*o = -v + 13. Suppose 8*b = -u + 3*b + 19, o*u - 31 = -5*b. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 4*n**5\/25 - 33*n**4\/20 + 11*n**3\/5 + 17*n**2\/10 - 21*n\/5 + 174. Suppose c(b) = 0. What is b?\nAnswer: -3\/4, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 5*i**2 + 16*i - 5. What is the lowest common multiple of l(7) and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1019, 1018, 1017?\n\"Answer: -f + 1020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**3 - 2*a**2 - 3*a + 2. Let k be b(2). Suppose k*z - 1363 = -5*u, 261 = u + 25*z - 30*z. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3770 - 44*j + 3*j**2 + 47*j + 3800.\nAnswer: 3*j**2 + 3*j + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23017 is divided by 7672?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1674560 rounded to the nearest 10000?\nAnswer: 1670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2164742 is divided by 3798.\nAnswer: 3680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 189*j - 5122 + 586. What is the greatest common factor of 2604 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.3 - 17.7. Let k = 19 + v. Let i = -0.04 + -1.96. Sort 0.1, i, k in descending order.\nAnswer: 0.1, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1251992, 2503949, 3755918, 5007905, 6259916, 7511957, 8764034?\n\"Answer: v**3 + 1251950*v + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6303407 is divided by 242419?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 13*m**4\/6 - 37*m**3\/6 - 1380*m. Let d(z) = -2*z. What is d(t(f))?\nAnswer: -52*f**2 + 74*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 715931*l**3*r - 40*l**3 - 1194*l*r + 8*l - 1690*r wrt l?\nAnswer: 4295586*l*r - 240*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 15 + 13 = 5*q, v - 4*q = -17. Suppose -10 = -v*j + j. Let d(m) = m**3 - 4*m**2 - 6*m + 7. Let b be d(j). Is b greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22213 or -22196?\nAnswer: -22196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -1011000101?\nAnswer: 1011000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 24 = -0*t. Let d = t + 29. Solve -2*w - 3*g - 14 = 0, 4*w + 5 = -3*g - d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.9 + 14.1. Let y = 15.996 - i. Round y to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 188.9785 - 192.92. Round z to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 - 6*z**3 + 3*z**3)*(1 - 1 + 3) + 2*z**3 + 5 - 4 + 1.\nAnswer: -4*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -6247 - 262*w**3 + 2*w + 6247 in the form d + m*w + a*w**3 + q*w**2 and give a.\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 6*m + 7. Let g be 2*3\/6*5. Let y be t(g). Let i be (20\/6)\/((-3)\/(-9)). Calculate the highest common factor of i and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -27 + 1272703?\nAnswer: 1272665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -33*33\/2475*-25. Let h(q) = 10*q. Let f(s) = -50*s + 5. Let n(u) = 100*u - 11. Let g(t) = 13*f(t) + 6*n(t). Give l*h(x) + 2*g(x).\nAnswer: 10*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6104, 6057, 5988, 5885, 5736?\nAnswer: 5529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*w = 6*n - 28, -5*n + 54 = w. Suppose n = -5*m, 0*b + 3*m + 8 = b. Factor -2\/5*p**b - 2\/5*p + 0.\nAnswer: -2*p*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 163601795067?\nAnswer: -163601795067.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -28\nAnswer: -5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ispkkivsxxxi. Give prob of sequence six.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000296231 rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2977, 2995, 3033, 3097, 3193, 3327, 3505?\n\"Answer: h**3 + 4*h**2 - h + 2973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 t when four letters picked without replacement from axxttxtax?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 l when three letters picked without replacement from exhhlx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3448 - 6710 = 21*m + 24*m - 3397 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1021 (base 3) to base 12.\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 14) to base 4\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4649412 or 4649343?\nAnswer: 4649343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2 - 2*l + 2454. Let t be u(0). Let f = 4321 - t. What is the second derivative of -f + 1867 - 23*z - 37*z**5 wrt z?\nAnswer: -740*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 7 in ascending order.\nAnswer: 0, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40.76 + -40.7. Sort r, 10, -1\/5, -4 in decreasing order.\nAnswer: 10, r, -1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*v*z**4 - 4*v*z**2 + 360*v*z - 4*z**4 - 131448*z**3 + 145*z**2 - z - 1 wrt z.\nAnswer: 240*v*z - 96*z - 788688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 174 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 5:42 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/72570 and -101\/20090.\nAnswer: 3555930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 + (-100)\/10 + 4)\/(1 - -7 - 7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 1:45 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p = -2614 - 2174. Calculate the least common multiple of 9 - (-9)\/(-3 + 0) and p.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4\/5 (b) 55\/3 (c) 8\/19 (d) -1\/818 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 1. Let y be f(3). Let k = y - 0. Calculate the remainder when k is divided by (3 - 6)\/(1 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 2:40 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.351198 kilometers in micrometers?\nAnswer: 8351198000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 17 + 17)*(-117 - o + 146 - 363 - 347).\nAnswer: -26*o - 17706","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.21 + 1569119.\nAnswer: 1569117.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(3) - sqrt(15)\/(1*sqrt(5))))**2 + (-5*2*sqrt(3)*3)**2.\nAnswer: 2709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -158 + 190. What is the least common multiple of d and 36?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 + -36. Suppose -o - v*o = 0. Solve 2 = k - o*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9414 is divided by 83?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 91044 and 354060?\nAnswer: 3186540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/((-70)\/(-21)) - 26\/8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -105*m**2 + 132*m - 36 = 0?\nAnswer: 2\/5, 6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 185047111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*y + 2 = 0. Let q(t) = -5*t - 11. Let w(d) = -6*d - 11. Let a(n) = -5*q(n) + 4*w(n). Let b be a(-8). Solve y*j + b = 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -167\/6 - -28. Let x = 0.4 - 0. What is the closest to f in 1, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -i**8\/1120 - 4*i**7\/315 + 13*i**6\/360 + i**5\/10 - 3*i**4\/2 - 30*i. Let q(w) be the third derivative of a(w). Factor q(c).\nAnswer: -2*(c - 1)*(c + 6)*(3*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 23) + (4 - 0) - -5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**3 - 3*s**2 - s - 1. Let i(v) = v**2 - 4*v - 2. Let j be i(4). Let m be p(j). Put -5, m, 0 in decreasing order.\nAnswer: m, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -123*w + 22 - 65 - 2*w**3 - w**2 + 25 + 18 as o*w**3 + j*w**2 + v + s*w and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(117)\/(sqrt(54)\/sqrt(384) - sqrt(9)) + 5 + sqrt(26)\/((sqrt(288) - sqrt(8))\/sqrt(4)).\nAnswer: -33*sqrt(13)\/35 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 4*x**2 + 4. Suppose -13*g + 4*g - 27 = 0. Calculate l(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -0.4, 267?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -8511\nAnswer: 4255.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -4\/5, -0.5, -3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -173368, -173291, -173212, -173131, -173048, -172963?\nAnswer: -172876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*b + 3*b - b + 43 - 43 + 10*b + (1 + 4*b - 1)*(-2 + 4 + 0))*(5 + 2 + 4) to h + v*b and give v.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 403951459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000376805 to 5 decimal places.\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 5*p + 80, 3*p = 4*t - 173 + 18. Let s(j) = j**3 + 4*j**2 - 3*j - 4. Let f be s(-3). Calculate the highest common factor of t and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, e: 3, u: 6, o: 1}. What is prob of picking 1 j and 2 e?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9 - 1\/(3\/(-12)). Suppose -3*u + h - 1 = 0. Suppose 7*c - 6*c = 4*k + 78, 156 = 2*c + u*k. List the prime factors of c.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by -6471162\nAnswer: 1\/359509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r + 10. Let l be x(6). Suppose 0 = 5*h - 10, 3*w - 2*h = -h + 16. Suppose -4*t + w = -l. Solve f - t = -4*o, -o - 4*f = 3*o - 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 450 and 312850?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-1 - (sqrt(17) + 1 + sqrt(17) + 1))**2.\nAnswer: 20*sqrt(17) + 429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 212 - 2?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 + -136)*-1*(-10)\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3136 divided by -49.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 46405275 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c0ece7 - 4?\nAnswer: c0ece3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 0*f**2 + 56\/3*f**3 + 29*f - 57. Find the first derivative of s(b) wrt b.\nAnswer: 112*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -10*u + 17. What is f(7)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 401657260 divided by -4?\nAnswer: -100414315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-306)\/(-10) + 60\/(-100). What is the highest common factor of v and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 409666 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9351, 9181, 8881, 8445, 7867, 7141, 6261, 5221?\n\"Answer: -v**3 - 59*v**2 + 14*v + 9397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 24 = -8. Let h be (-8)\/(-12)*(-9)\/2. Let i be (-6)\/j*(5 + h). Solve 0*q - i = q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -19704, -39407, -59110, -78813?\n\"Answer: -19703*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*a - 5 = 0, 2*a + 5 + 1 = -m. Suppose -p = m*p - 15. Suppose -p*r + 8 = -l - 7, -3*r - l + 9 = 0. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -11 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 13*f + 37. Let z be i(-6). Suppose -3*w + 0*w - 12 = 4*n, 0 = -2*w + n + 3. Which is the third smallest value? (a) -10 (b) w (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (13\/(65\/(-4)))\/((-1)\/25). Suppose 4*a + 5*i - 27 = 3*a, -5*a = 2*i - z. Let b be (-27)\/(33\/(-12) + a). What is the greatest common factor of 54 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -5) + 2 + (-8 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, y: 2, b: 3, x: 4, j: 3}. What is prob of sequence jxxy?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -12003220?\nAnswer: -12003223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 153, 529, -7, -1 in decreasing order.\nAnswer: 529, 153, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 918 is divided by 138.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/110 and -107\/44?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + g + 3*g + 21, 3*g = -3*j + 21. Calculate the remainder when 152 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2268*q**2 + 3*q - 18960 - 3*q + 18960 to the form i*q**2 + d*q + w and give i.\nAnswer: -2268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.5, 9, -6, -3\/2 in descending order.\nAnswer: 9, 0.5, -0.1, -3\/2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*y + 21021 = 0, 2*h - 220*y - 14028 = -219*y. What is the greatest common divisor of h and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*i*j - 2561398*i + 6173*j - 405 wrt i.\nAnswer: -2*j - 2561398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - g - 5. Suppose 0 = -2*f + g*f - 87. Let u = f - 21. Solve -5 = -u*y + 3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285013 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -15251 divided by -39?\nAnswer: 15251\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3075413920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b**2 + 9*b - 5. Let r be c(-5). Suppose q - 6*q = -r. Calculate the lowest common multiple of q and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101101 (base 2) to base 9\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3\/3 - 2636*h**2\/3 - 880*h.\nAnswer: 4*h*(h - 660)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 7*g. Determine k(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/7 (b) -4\/7 (c) 9\/2 (d) -5 (e) 17 (f) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 6 = -3*q, -93*q + 2 = -94*q - n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 6 - 1 = 5*p, 5*c = -3*p - 5. Let x be (-3)\/(-1) + (-92)\/4. Let j be 0*(x\/8 + 3). Solve j = 5*g + p for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05 + -0.95. What is the biggest value in 4, -0.5, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 6*d - 4, h + d - 6 = 0. Let l be 1 - (2 + (-38)\/h). Let k be (-1 + 3)\/(4\/6). What is the highest common factor of k and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/y**(-6))*y**(-6))\/(y*y\/((y*y**(2\/7))\/y))**(-2\/65) assuming y is positive.\nAnswer: y**(-4981\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 3 + 2. Suppose -3*j + 3 + 9 = 0. Let x be 3 - (j*-1)\/(-2). What is the second biggest value in u, -4, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3))**(4\/21)*y**6*y*y*y\/(((y*y*y**(-2\/5))\/y*y)\/y) assuming y is positive.\nAnswer: y**(2626\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7381 + 7270 = 423*d - 7768 for d.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-38.\nAnswer: -15.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84405 and 49215?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-5)*155\/(-93)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -14. Let g = -4 + q. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17600252*c**2 - 4901388*c wrt c?\nAnswer: 35200504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -12\/227 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(11\/4)\/t)\/t**(-2) assuming t is positive.\nAnswer: t**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -22. Suppose u + 4*n + 4 = 17, d*u + n = 6. Which is smaller: 4\/21 or u?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 8 + 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 313911.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/10 + 1904*p**2\/5 - 1812608*p\/5.\nAnswer: -p*(p - 1904)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2538 a factor of 519954746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 8*a + 4. Suppose 4 = 2*n - 3*n - 2*r, -n - 7 = 3*r. Suppose 2*t = -n*w - 140, 2*t - 5*w + 113 - 8 = 0. Let v = t + 73. What is l(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178 = -2*f - 186 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, l: 3, s: 3}. Give prob of sequence lsls.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + m**3 - 11 + 11 + (-2*m**2 - m**2 - m**2)*(0*m + 5*m - 3*m) in the form i*m**2 + q*m**3 + n + t*m and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyynyyynyyy. What is prob of sequence yyn?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*s + 102*s + 2*s**3 - 321*s + 113*s.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-112)\/30 - (4 + -8). Let u(r) be the second derivative of 0*r**3 - 3\/10*r**5 + 1\/6*r**4 - 2*r - l*r**6 + 0 + 0*r**2. Factor u(m).\nAnswer: -2*m**2*(m + 1)*(4*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 132 - 84. What is the derivative of 6 + f + 14 + 36*u wrt u?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -372 + 371.96. Sort 3\/4, 0.2, n in increasing order.\nAnswer: n, 0.2, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -4. Let n(f) = z + 3 + 4 + f. Let x be n(0). Solve 6 = -3*o - x for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.280742 hours to nanoseconds.\nAnswer: 1010671200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 1 = -m, -2*m + 3*p + 2*p = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -528\nAnswer: -1056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.00329 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107420, 119378, 131336, 143294?\nAnswer: 155252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 152 + -123. Let n = 4 - -1. Calculate the remainder when j is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15819160?\nAnswer: 2, 5, 7, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 69*o**2 - 263*o + 5. Determine t(-65).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15399 and 494479?\nAnswer: 1711","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -428, -404, -366, -308, -224, -108, 46, 244?\nAnswer: 492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4245 + 4245 + 332*n as p + o*n and give o.\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/19))**(-3) assuming q is positive.\nAnswer: q**(-3\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*z - 3*z - 2*z - 1660*z**2 + 1629*z**2 - 4*z - 2*z.\nAnswer: -31*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 19*c - 45. Let z be q(22). Suppose 11 = -4*u + u + 2*f, 0 = -u + 5*f - z. Let w be (-4)\/18 - 0\/(-2). Are u and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355133030 rounded to the nearest one hundred thousand?\nAnswer: 355100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18988979263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/5))**(9\/7)*b**(-4)\/(b**2\/b) assuming b is positive.\nAnswer: b**(-157\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 601935?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zszz when four letters picked without replacement from {z: 5, s: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 7 = 31. Suppose 2*r - x = -q - 2*r, -5*r = -2*q + 9. Suppose 3*i = 5*i - q. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0090114 rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2796\/19, -0.1, 0.3, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17.6 + 27.6. Let n be 5\/(-4)*(7 - 3). Sort n, -1\/4, f.\nAnswer: n, -1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12582 and 270.\nAnswer: 62910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 224978381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**5\/20 - u**4\/2 - 5*u**3\/6 + 3*u**2 + 3*u. Let q be i(-6). What is the greatest common divisor of q and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 350340?\nAnswer: 350342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -477.637 times 17\nAnswer: -8119.829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131327307.\nAnswer: 3, 163, 89521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6667380.\nAnswer: 2, 3, 5, 12347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 109149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**3 - 11*g**2 + g - 4. Let q = -2158 - -2164. Give v(q).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -4*l + 4. Differentiate 0 + 7*k - 4*k - l - 5*k wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 33*v + 1000 - 1166 = -2*b - 20*v, v + 40 = -4*b for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 41.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30611430 divided by 5.\nAnswer: -6122286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j - 2. Let z be a(-4). Let i(c) = 3*c + 2*c**2 - c + c**2 + 2*c**z - 2 + c**3. Calculate i(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8*(-3)\/6*1 - -136. Solve 30*s + 14*s = -k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f - 41. Suppose -4*c = -2*w + 44, 0 = 5*w + 163 - 153. Calculate q(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 1:05 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 3) + 1 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 730 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/((r**(-2\/5)*r)\/r))\/(r*r**(-9)*r)*r**(-7)\/((r*r*r**7\/r)\/r) assuming r is positive.\nAnswer: r**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1 + (-2)\/7 + 2253\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 4. Let q(g) = -g**3 - 4*g**2 - 3*g - 3. Let i be q(b). Let t(k) = 5*k**2 - 5*k - 5. Let w(j) = -26*j**2 + 26*j + 26. Give i*w(m) - 16*t(m).\nAnswer: -2*m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09 + 5434905.\nAnswer: 5434905.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94869747.\nAnswer: 3, 7, 83, 18143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -7*a**3\/3 + 1976*a**2\/3 + 145897*a\/3 - 41846\/3 = 0.\nAnswer: -61, 2\/7, 343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*d - 0. Solve 3*p - 4*v + 22 = 0, -d*p - 2*v + 4 = -0*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -87? (a) -1 (b) -51 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 273, 545, 813, 1077, 1337, 1593?\n\"Answer: -2*b**2 + 278*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 r when two letters picked without replacement from {t: 15, r: 5}.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28\/3*h**2 + 71\/9*h + 2\/3.\nAnswer: (4*h + 3)*(21*h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 271381595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2150*k - 133109 = 36741 for k.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3\/17))**(19\/2))**(2\/39) assuming k is positive.\nAnswer: k**(-19\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -20. Let c(i) = 2*i**2 + i + 12. Let l(u) = 3*u**2 + u + 24. Let y(w) = 5*c(w) - 3*l(w). Is 34 a factor of y(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161195*r**2 - 80605*r**2 - 80562*r**2.\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-4801)\/(-48010))\/(1\/100)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -90276 divided by -6\nAnswer: 15046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(351)*-4)\/(sqrt(48)\/sqrt(4)) - (sqrt(65) + sqrt(65) + sqrt(65)*-1*-5)\/(3*(sqrt(5) - sqrt(15)\/sqrt(3)) - sqrt(5))*-2.\nAnswer: -20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2526?\nAnswer: 2, 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-186945)\/(-28325)*(-70)\/(-6)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 3. Let y(a) be the third derivative of -7*a**5\/60 + a**4\/8 + 5*a**3\/6 + 2*a**2. Let t(d) = 6*d**2 + 0*d + 6*d - 4 - 8*d. What is b*t(z) - 4*y(z)?\nAnswer: -2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-151*g - 151*g + 280*g)*(0*g**2 - 5*g**2 + 3*g**2) + 2*g**3 - 5*g**3 + 4*g**3.\nAnswer: 45*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 144015, 286935, 429855?\n\"Answer: 142920*j + 1095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(330\/(-144))*20*33\/(-176)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9 + (4 - 4353))*-1.\nAnswer: 2, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24221.73ml in litres?\nAnswer: 24.22173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -0.4, 1\/4, 3\/5, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, y: 2, s: 2, p: 1}. What is prob of picking 1 y and 1 b?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 44?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z - 11. Let a(f) = -3*f - 7. Let i(q) = -7*a(q) + 5*l(q). Let h be i(14). What is the highest common divisor of h and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r**3 - 14*r**2 + 9*r**2 - 18*r - 5*r + 132*r**4 - 133*r**4 - 7*r as o + l*r**3 + c*r + j*r**4 + z*r**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(180) - (sqrt(180) + 2*2*sqrt(180) + sqrt(180))) + sqrt(180))\/sqrt(10))\/(-6*(sqrt(9) + sqrt(9) + (sqrt(9) - sqrt(225))*-1)*-2).\nAnswer: 5*sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34\/53 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 66, 193, 380, 627?\nAnswer: 934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -41 + 25 + -35 + (14 - 10) + -11\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2267555 divided by -3?\nAnswer: -2267555\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3 + 0 + 2 - t**3 + 10*t - 11*t**2 - 4. Calculate the remainder when 99 is divided by h(-12).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 406 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 12:42 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 28*v - 7 = -23*v, -4*n - 59 = -5*v for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6 - 1 - 10) + -26 - -5) + -2?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -447.2 less than -9199?\nAnswer: -8751.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5e48 (base 15) in base 9?\nAnswer: -30505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 6*(2 + ((sqrt(192) + sqrt(192) + 1)*6)**2) + 1.\nAnswer: 6912*sqrt(3) + 166118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -448a + -234?\nAnswer: -46c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/90 - (-10)\/(-45).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -17*b**2 - 2*b. Let u(m) = -3*m**2. Calculate u(v(o)).\nAnswer: -867*o**4 - 204*o**3 - 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26290?\nAnswer: 2, 5, 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 9*r**2 - 13*r - 72. Determine w(-11).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 621 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 460.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -6*u + 5. Suppose -u*f + 0*g - 4*g = -50, 4*g = 20. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -169\/34 + 8115\/374. Is o at most as big as 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-306)\/(-612)*(-2)\/(-4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1024941, -2049833, -3074725, -4099617, -5124509, -6149401?\n\"Answer: -1024892*v - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b + 6a?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -34, -47, -44, -19, 34, 121?\n\"Answer: n**3 + 2*n**2 - 26*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -261 - -378. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 67.15842 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 8*f**2 + 9*f + 5. Let n be x(-9). Find the second derivative of -10*g + 6*g + 9*g**n - 2*g wrt g.\nAnswer: 180*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 941054?\nAnswer: 2, 83, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -0.4 (c) -4 (d) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 50*x**2 - 49*x - 98. Let f be h(51). Solve -20 = 8*y - f*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -48*x + 7. Let h(o) be the second derivative of 3*o**4\/4 + 4828*o. Calculate h(c(j)).\nAnswer: 20736*j**2 - 6048*j + 441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 84715 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -126*u + 105. What is b(-8)?\nAnswer: 1113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79902 + 41902. Round x to the nearest 1000.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 6:20 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*j - 2 = 0. Let f be -291*j\/(-6)*-4. What is the tens digit of 8\/28 - f\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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: Let o(n) be the third derivative of 0*n + 0 + 13\/8*n**4 + n**2 - 1\/3*n**3. Is o(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i + 2. Let k be a(-1). Let l be (5\/(-4))\/(2\/8). Let q = k - l. What is the remainder when 6 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -533453241 - 7?\nAnswer: -533453250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**3 - c**4 + 1 - 22*c - 21*c - 19*c + 70*c**2 + 79*c - 18*c in the form u*c**4 + k*c**3 + m*c**2 + b*c + a and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*t + 8*t**2 - t**2 + 76*t - 34*t.\nAnswer: 7*t**2 + 20*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r - 18. Let v be x(10). Let s = -28 - v. Let d = -6 + s. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-6)*(2 + (-75)\/40). Which is the closest to n? (a) -11\/5 (b) -4\/5 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 1 + 0*a + 5*a - 2. Let l be d(1). Suppose -88 = -l*f + 5*i, -i = -f + 6*f - 139. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**6\/120 - t**5\/10 + t**4\/6 + 17*t**3\/6 + 193*t**2. What is k(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1.75932, -83, -2, 5 in decreasing order.\nAnswer: 5, 4, 1.75932, -2, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3362788.7 rounded to the nearest ten thousand?\nAnswer: -3360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k + 3*k + 292 - 4*k + 2*k.\nAnswer: k + 292","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18936598, 18936597, 18936596, 18936595, 18936594, 18936593?\nAnswer: 18936592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/2960 and 123\/80.\nAnswer: 2960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6730 + -67303619534.\nAnswer: -67303612804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1398c0 (base 14) to base 3\nAnswer: -1021112002211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/4? (a) 3\/5 (b) 1 (c) -1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.9 - -0.1. Let s = 1 - k. Put -2\/3, -2\/17, s in descending order.\nAnswer: -2\/17, -2\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s - 2*s - 5*s + 11*s.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x. Let m(i) = 13*i + 9. Let o(w) = 11*w + 7. Let h(q) = -4*m(q) + 5*o(q). Determine n(h(s)).\nAnswer: -9*s + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of t*z**2 - 5*t*z + 201774*t + 6*z**2 - 21*z wrt z?\nAnswer: 2*t*z - 5*t + 12*z - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1828854 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -9*r**2. Let s(u) = -2*u - 8. Let m(v) = v + 3. Let a(w) = -8*m(w) - 3*s(w). Give a(o(t)).\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.016 (b) 14 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5023*i - 8940. Does 16 divide o(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/24*-8*2. Let j(v) be the first derivative of v**4\/4 + 7*v**3\/3 - 5*v**2 - 11*v - 1. What is the units digit of j(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of m**4\/8 + 7*m**3\/6 + 8*m**2. What is the units digit of o(18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 4*b + 3)*(-80 + 80 - b) in the form j*b + m + q*b**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (4 - (3 + (1 - 4)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 0 + 19 + -26 + 7\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -6*h + 2*h. Let f = h + 10. Suppose -f*o + 9 = 3. Round o to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**4\/4 - k**3\/2 - 4*k**2. Suppose 3*a - 11 = -2. Let s be j(a). What is the highest common factor of 105 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -163, -245, -327, -409, -491?\n\"Answer: -82*q - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/2190*7)\/(84\/36).\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, c: 2}. What is prob of sequence dcc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -0.463.\nAnswer: -0.263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (1030\/80 + 16\/128).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-6))\/((-3)\/9). Let u be (0 - (2 + -2)) + 3. Let s(h) = 2*h - 5 + 2 + 4*h**2 + 2*h**u + 1. Give s(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 368.9616 tonnes?\nAnswer: 368961.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -12333?\nAnswer: -12323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 - (34 - (107 + -33))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 13) to base 10\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 29870527 to the nearest 100000.\nAnswer: 29900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -13. Let k(r) be the third derivative of 0*r**3 - 2\/105*r**7 + l - 2\/15*r**5 + 3*r**2 - 1\/12*r**6 - 1\/12*r**4 + 0*r. Factor k(y).\nAnswer: -2*y*(y + 1)**2*(2*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 632, 915, 1200, 1487, 1776, 2067, 2360?\nAnswer: 2655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/1)\/(-1 + 0). Suppose 0 = j*v + v + 24. Let x(q) = -17*q + 3. Let u(t) = 11*t - 2. Let m(z) = v*u(z) - 5*x(z). Differentiate m(r) wrt r.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + g = 5*h + 2, -4*g - 5*h = -26. Solve -2*q + g = 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24668044*x**2 - 4553364*x wrt x.\nAnswer: -49336088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(882))\/(sqrt(288)\/sqrt(8)).\nAnswer: 7*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (-4)\/((-4)\/15). Suppose 2*a + 5 = 5*v, -8*v = -4*a - 3*v + l. Suppose -a - 36 = -2*r. Round r to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**6\/75 - w**4\/15 + w**2\/5 - 13*w + 9. Let r(g) be the first derivative of v(g). Determine u, given that r(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -2 + -11 + (49 - 41)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-4)*14*(-4)\/(-84)*-21.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 2:37 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*r + c - 22 = 0, 0 = 2*r + 4*c - 16. Let g(z) = z**3 + 8*z**2 + 6*z - 4. Let p be g(-7). Suppose -2*w = -p*w. Put r, w, 3 in descending order.\nAnswer: r, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 10*v**2 - 2*v - 13. Give l(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q**2 - 16*q + 7. Calculate n(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 0) + -29 + 0\/1. Let b = -66 - j. Let q = 54 + b. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**3 - r**4 - 4*r**3)*(-1 - 2 + 1)*(-212*r - 31*r - 15*r).\nAnswer: -516*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*k - 27 = -133*k + 92 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/19 in 2, -2, -65\/7, 20.7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1)**19)**(10\/7)\/(w\/(w\/(w\/(w\/w**5)))*w*w\/((w*w**(-1\/2)\/w)\/w)*(w*(w*w*w*w\/(w*w**(-4))*w)\/w*w)\/w**(4\/5)) assuming w is positive.\nAnswer: w**(731\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52.7 - -6.7. Let r = h + 41. Let q = -4 - -4. Which is the nearest to q? (a) -0.4 (b) r (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/(-184)*(1 + -9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 3. Let j be g(0). Let o(c) = 7*c**2 - 7*c + 2. Let x(h) = -h**2 + h. Let v(s) = j*o(s) + 24*x(s). Find q, given that v(q) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*l + 4, -5*l + 4 - 2 = -2*z. Suppose a = -l + 5. Suppose 0 = -a*q + 25. Solve 4*w - 2*u - 2 = 0, q*w - 3*w - 2*u = -2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 11, z: 5}. Give prob of sequence zz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9418 to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7942 (base 11) to base 9\nAnswer: 15303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a. Let v(h) = -2*h - 9. Let u be (-1 - -2)\/((-10)\/40). Let d(i) = i + 4. Let r(t) = u*v(t) - 9*d(t). Calculate m(r(s)).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -5. Factor -3*j**3 + 9*j**2 + s*j + j**2 - j**2 - 11*j.\nAnswer: -3*j*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a02 (base 11) to base 6\nAnswer: -5340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/3 (b) -4 (c) -3 (d) -2422 (e) 2\/6361 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23233 + -1?\nAnswer: 23232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, j: 3, p: 1, m: 3, s: 5}. Give prob of sequence mssm.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 379169 and 35533552?\nAnswer: 248734864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*v + 20*v - 6 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -376212.5 - 4?\nAnswer: -376216.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8580 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 55 + 25. Suppose -5*o - 3*g + p = 0, -3*g + 6*g - 25 = -2*o. Suppose o*w - j = -2, j - 1 + 4 = 0. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 88\/316957095 and 73\/55933605.\nAnswer: 950871285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbb. What is prob of sequence bbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 6 + 4*b - 2 + (3*b - 6*b + 2*b)*(2 - 2 + 2) + 5 - 5 + 6*b.\nAnswer: 8*b + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -199, -284, -381, -496, -635, -804, -1009?\n\"Answer: -t**3 - 78*t - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, t: 9}. Give prob of picking 2 f and 2 t.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppbz when four letters picked without replacement from zbpbbbpvvqvppvzz.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -9*(1 - 0)*6. Suppose -3*y - 2*y = -3*z + 220, 2*z - 155 = -5*y. Find the common denominator of -1 + (2 - z\/o) and 47\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234 and 2119.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110624 and 328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -3*c + s, -3 = 4*s + 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -123, -5.7, -5 in decreasing order.\nAnswer: 6, -5, -5.7, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.35 + 0.05. Let k be 6\/(-5) + (-3)\/(-15). What is the third smallest value in -0.5, g, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 e when three letters picked without replacement from lelwevllcel?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1928*-395.3\nAnswer: -762138.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l - l + 5*l + (-2 - 1 + 4)*(0*l + 2*l + 0*l) - 1 + 7*l + 1 - 66 + 4*l + 49 - l to i + q*l and give i.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in 0.3, -0.5, -5, 3, -13\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 20*f**3 - 6*f**2 - 6*f. Suppose -5*k = -25, 5*t - 275*k + 279*k = 15. Let i(q) = q**3 - q**2 - q. Give t*v(w) + 6*i(w).\nAnswer: -14*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -5*a - s, 3*a - 38*s + 42*s = 32 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (73\/146)\/(13\/(-6) - -2). Let f = 0.7 + -0.9. What is the biggest value in -0.3, 4\/13, r, f?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236153*s + 236153*s + 7*s**3.\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25\/28 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -545 + 547. Let j = -0.06 + 0.46. Let q = -0.3 + j. Which is the biggest value? (a) s (b) 5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 15781 (b) 6 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(242) + (1*sqrt(242) - sqrt(242)))*3)**2)*4.\nAnswer: 8728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z - 3*z + 4*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 6 = 3*i. Let c be 1\/(-1) + (17 - (0 - i)). Calculate the greatest common divisor of 42 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-5))\/((-65)\/(-325))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/585)\/(14*1\/84)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -201, -263, -339, -435, -557, -711?\nAnswer: -903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**2\/5 + 2*f = 0?\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 7*o - 1. Let n be u(-5). Let c = -2 - n. Calculate the smallest common multiple of 30 and c.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/36 - (116\/(-12) - -10). Which is the closest to 5? (a) 3 (b) -3 (c) i (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2f - -8c2c14?\nAnswer: 8c2be5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 120 = 3*d. Suppose t - 90 = -4*t. What is the lowest common multiple of d and t?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 714 = -129*b + 2520 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*f = -i - 314, -451 = 3*i + f. Let m = i + 161. What is the remainder when 20 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2592 and 252.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/4))**37*(((d\/(d\/(d\/(d*d*d\/d**(-8)))))\/d)\/d)\/d*d\/(d*d**(-1\/20)))**(-1\/6) assuming d is positive.\nAnswer: d**(37\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 683*w + 10977. Calculate o(-16).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 12 + 22. Let h be y\/12 + (-75)\/(-18). Suppose -1 = -h*o - 13, 5*w - 3508 = o. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**7\/2520 - 15*f**4\/4 + 11*f. Let b(l) be the third derivative of h(l). Let i(u) = 24*u**2 + u. What is i(b(d))?\nAnswer: 24*d**4 - d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106512.\nAnswer: 2, 3, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1063 is divided by 86?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 4*o + 11*v - 683, -826 = -5*o + 3*v. Suppose t + o = -w, t - 331 = -w + 3*w. What is the smallest value in -1\/3, 0, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*m - 2580 + 9171 - 2256 = 3033 for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 14667644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -292 - -43. Let d = -390 - a. Let x = d - -167. Does 26 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 5*i**2 - 6*i - 2. Let d be t(-4). Let q be d*(-2)\/8*-2. Solve 0*y + q*y + 12 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 12 - (-2 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111, 109, 105, 99?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 11, p: 5}. Give prob of sequence sp.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95643025?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 9*x**5\/4 - x**3\/6 - 57*x**2\/2 + 64*x. Differentiate h(r) with respect to r.\nAnswer: 135*r**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 30*r + 166. What is j(-17)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 66*r + 7428*r**5 - 7566*r**5 - 5*r**2 + 22*r wrt r.\nAnswer: -8280*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11, 1972, 7285, 17624, 34663, 60076, 95537, 142720?\n\"Answer: 279*c**3 + 2*c**2 + 2*c - 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 166467 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -268492 divided by -1\nAnswer: 268492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 0*u + 0*u)*(-u - 2*u + u)*(3*u**2 - 2*u**2 - 2*u**2) - 2781 - 10*u**4 + 3*u**4 + 2800.\nAnswer: -5*u**4 + 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + v = 7. Let r = v - -6. What is the units digit of (r\/1)\/(7\/(-469))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2144 + -2144. Let u(h) be the second derivative of -1\/30*h**6 + 0*h**3 + 0 + 0*h**2 - 8*h + c*h**5 + 1\/42*h**7 + 0*h**4. Factor u(f).\nAnswer: f**4*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 72.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1323684 and 3544?\nAnswer: 1772","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.75512 microseconds in milliseconds?\nAnswer: 0.07975512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 0.6. Let y = -11 - -6. Let d = -4 - y. What is the second smallest value in 4\/9, o, d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 587, 1172, 1757, 2342?\nAnswer: 2927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27045?\nAnswer: 3, 5, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -194134*f**3 - 222977*f**2?\nAnswer: -1164804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 3*i + 78, -2*z + 20995*i = 20991*i + 134 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 549778?\nAnswer: 2, 274889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/5 - 123472*u\/5 + 493856\/5.\nAnswer: 2*(u - 61732)*(u - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 61*r**2 + 64*r + 135. Let o be b(-62). Solve -o*a - a = 60 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17.86 + 18. Let h = 0.14 - u. Let w = h + -0.3. What is the third biggest value in -4, w, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and -244.1.\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + x - 17 = 6*x, -l = 3*x. Let k be -3 - (2 + -3) - (l + -7). Solve 8*d = 10*d + k for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) 166 (c) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**2 - 44873*d + 1 + 44872*d - 3*d**2 - d**4)*(4 - 2 - 1) as k + m*d + o*d**2 + c*d**3 + j*d**4 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 0*f - f)*(151 + 232 + 42).\nAnswer: -1275*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18104650 to the nearest integer?\nAnswer: 4255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 + -42. Let g(y) = y**3 + 7*y**2 + 10*y + 6. Let d be g(v). Let a(j) = -d*j + 2 + 4*j + 2 + 3*j. What is a(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.909158 to three dps.\nAnswer: 2.909","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + t + 36. Let u be z(0). Suppose -2*o = -2*n + u, 3*n = 4*n + 3*o - 10. Calculate the remainder when 46 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 743 - -778?\nAnswer: 1521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4656 and 1552?\nAnswer: 4656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/4)\/((-189)\/72).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 4*f**2 - 3*f. What is y(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46687 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1086 - -1087. Let c = -5.7 - -7. Let m = 0.3 - 5.3. What is the nearest to 0 in c, k, m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13610 (base 7) to base 3.\nAnswer: -12010012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 223035 to the power of 1\/2, to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4 + sqrt(704) + -2*sqrt(704) + 5 + sqrt(704) + -1 + 2*sqrt(704) + sqrt(704) + (sqrt(704)*2 + sqrt(704) - sqrt(704) - sqrt(704))*-5 + 2))**2.\nAnswer: -1024*sqrt(11) + 45120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6282)\/(-24) + -1)\/(3\/12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15\/13 (b) -0.1 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 341 = 5*b - 2*f + 385, -5*f = b + 25 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 6*f**2 + 5*f - 5. Is 5 a factor of m(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30907948 divided by 12554\nAnswer: -2462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 119298 and 141954?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15585, -15477, -15329, -15135, -14889, -14585, -14217, -13779?\n\"Answer: d**3 + 14*d**2 + 59*d - 15659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024247513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 30 = -5*h - 7, -4*w = h + 15. What is the remainder when 74 is divided by 3*((-700)\/15)\/h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2312029861.\nAnswer: 2312029861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1706 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-6) + 34\/(-6). Let n = 4 + s. Let q = n - 3. Let h(l) = -l - 2. Give h(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20708\/6820 - (-4)\/(-110). Solve -2*t + 3 = 2*j - q*t, -j + 3*t = 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -68 + 2?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**3 + 6*y**2 + 44*y - 48 = 0 for y.\nAnswer: -4, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hghhhghhhg. Give prob of picking 1 h and 1 g.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7230.04 and -0.02?\nAnswer: -144.6008","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 19*v**3 + 24*v**2 + 61*v + 21. Let z(g) = -8*g**3 - 12*g**2 - 30*g - 11. Let m(q) = -3*j(q) - 7*z(q). Factor m(x).\nAnswer: -(x - 14)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**2\/2 - 2754840*a - 5509686 = 0?\nAnswer: -2, 1836562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 52 - 14 - 47 - z + z**2.\nAnswer: z**2 - 113","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 6*z**3 + 3. Let g(s) = -11*s**3 - s**2 - 5. Let v(x) = 3*g(x) + 5*m(x). What is the third derivative of v(p) wrt p?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*n**2 - 17*n**2 - 46*n**2.\nAnswer: -98*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1128*i - 128\/7*i**2 - 474\/7*i**3 - 2\/7*i**5 + 60\/7*i**4 - 2016 = 0. Calculate i.\nAnswer: -4, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p. Calculate the remainder when 42 is divided by y(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-1510)\/170 + (-6)\/51.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54095920 a multiple of 1168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/(-85)*2613 + 10\/(-85). What are the prime factors of (-3 + 5)*g\/2?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + y + 0*y = -0*y - 56, -2*g + 4*y = -521579 + 521525 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2890118111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3307 is divided by 40?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 7 + 5 + -16 + (7 - 15 - 80)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 344 and 17888.\nAnswer: 17888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 178007027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34927?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*v = -71, -k + 27 = 5*v + 2. Suppose 5*q - k = -0*q. Suppose 0 = 2*y - q*y + 143. What is the highest common divisor of y and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5\/7, -1\/3, -0.3, -2\/9, 3\/22?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 532*j = 289*j + 275*j + 480 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - v - 21 = 0, -5*w = -v + 3*v - 70. Suppose -6 = -3*j + 6. Calculate the remainder when w is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 4\/(-6))*21. Let l be w\/(-5) + (-6)\/(-30). Suppose 0 = -k + l*z + 118, -98 = -k + z - 2*z. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -83c775 + 72?\nAnswer: -83c703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10916 + -1913. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24373253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 21\/25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y + 4*y - 2*y + (-y + 0*y + 2*y)*(-1 + 1 - 3))*(-2 + 2 + 7) to the form l + z*y and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 17 + 18*f + 23*f to b + t*f and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 7 - 24\/3. Let l(d) = -d**3 + d**2 - d - 1. Let q(n) = -2*n**3 + 9*n**2 - 4*n - 2. Let r(u) = 6*l(u) - q(u). List the prime factors of r(j).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72799 + 57525. Suppose 2*l - 2*h = -5*h + q, 2*h = 2*l - 130334. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 907 (base 12) in base 7?\nAnswer: 3541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.55 + -16.45. Let v = y + 16.9. Which is the closest to v? (a) 2 (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54352957*y**5 - 15173*y**2 - 4*y + 346.\nAnswer: 3261177420*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3 = -0. Let t = 13 - x. Calculate the greatest common divisor of 128 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3*t. Suppose t*c - 4 = -2*c. Factor 4*p - c*p**2 - 12*p + 10*p.\nAnswer: -2*p*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*21\/(-14)*24\/9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 1:52 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45355*s + 45360*s = n - 8, 2 = s for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28474387.\nAnswer: 28474387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 5*z - 5*z + 1 + 3*z**2.\nAnswer: 3*z**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 1759 - 3869 = -q, 0 = q + f - 5638. Suppose 11*v + q = 14*v. List the prime factors of v.\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2419 - 2419 + 49*z + 43*z + 84*z**2 wrt z.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q = 16*q - 8. Which is greater: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -81*k**3 + 291258*k**2 - 9768736*k + 82296448.\nAnswer: -(k - 3562)*(9*k - 152)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16.5 - -17. What is the closest to 0.2 in m, -1, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + c + 11*c**3 + 11*c**3 + 7*c**3.\nAnswer: 29*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 45 = -111. Let r be -184 - (-3)\/(-6)*-4. What is the remainder when k is divided by r\/(-7) + -4 + -2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/40 - 41\/(-5). Let q(r) = r. Let y be q(0). Let k = i + y. Calculate the remainder when 23 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b**2 - b**2 - 4*b**2. Let m(o) = -7*o. Give h(m(s)).\nAnswer: -49*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 + 1196*y.\nAnswer: 2*y*(y + 598)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 26, -46\/7, -7, -6?\nAnswer: -46\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1541 and 1702.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (247639\/2380 - (-1)\/(-20)) + 33*(-9)\/27?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1187292, 1187290, 1187288, 1187286?\nAnswer: 1187284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 132 = 2*g - 210, r = -3*g + 505. Suppose -5*j + g = 162. Put 4, j, 0, 2 in decreasing order.\nAnswer: 4, 2, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -143*d + 132. Let m(q) = 12 + 17 + 11 - 18*q - 36 + 12. Let y(z) = -33*m(z) + 4*o(z). Let b(c) = -3*c. Determine b(y(f)).\nAnswer: -66*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 9:50 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 9. Let l(v) = -v**3 + 6*v**2 - 3*v - 4. What is the smallest common multiple of c\/(-6) - (-130)\/30 and l(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (20\/60)\/((-1)\/(-6)). Let h(c) = 10*c**2 - 3*c**3 + p*c**3 + 3 + 2*c**2 - 22*c. Let q be h(8). Are q and 82 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47182211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1364472 and 162.\nAnswer: 4093416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, 12, -2, 0.107, -298, -0.2?\nAnswer: -298","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 288459197983 + -288459198250.999999246. Let i = d - -268. What is i rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001301 rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 15 = 7*y. Suppose g + 15 = 4*l, 2*g + y*g - 5*l = -15. Is 6 a factor of g + -1 + 1 + 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 5*u + 40 - 5*u - 40.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 0)*((-2 + 0 + 0)*(-d - 2 + 2) + 4*d + 4*d + 7*d)*(1 + 3 - 2) as t*d + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*z**4 + 8870748*z**3 + 99911982*z.\nAnswer: -60*z**2 + 53224488*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h + 18. Let s be n(-11). Let x be (0 + -10)\/(s - 9). Suppose 5*i - 4*i + x = 0. What is the second smallest value in 2, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6889, 5 in ascending order.\nAnswer: 0, 5, 6889","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -1.83.\nAnswer: -0.549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*g + 35. Suppose -10*h + 8*h = 266. Let o = -121 - h. What is the remainder when o is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -143*n - 36 + 36 - 216*n + (-5 + 5 + 2*n)*(-5 + 6 + 3) to j + v*n and give v.\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 14*c - 9. Let s be (-4)\/(-10) - (-260)\/(-25). Let l be ((-24)\/s)\/(3\/(-15)). What are the prime factors of a(l)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3655\/6 + (-4)\/24. Suppose -12*f + 5*f = -m. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*y + 4 = -4, -2*y = -5*z + 12. Let b be (z - 0) + (-27)\/(-9). Suppose -b*p - 44 = -7*p. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/5 + 522*g**2\/5 + 206*g - 1554\/5.\nAnswer: 2*(g - 1)*(g + 3)*(g + 259)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -361, -796, -1335, -1972, -2701?\n\"Answer: g**3 - 58*g**2 - 268*g - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 4 - 4 - (11 - 17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -8*a + 122. Is 20 a factor of g(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1467 and 815.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 79*c + 3. Let z(t) = -t**2 - 5*t + 30. Let a be z(4). Let u(m) = -40*m - 2. Let x(y) = a*f(y) - 11*u(y). What is the derivative of x(v) wrt v?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4*i = 4, -2*a - i - 2*i + 1 = 0. Which is bigger: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/3 - 2\/6. What is the units digit of -6*(-7)\/3*h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((6 - 9) + 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 4*w = 0. Which is smaller: w or 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37.5 + -37.9. Which is the fourth smallest value? (a) 1\/6 (b) -1 (c) 0.4 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j*o**2*q*u**2 + 7*j*o*q**2 - 94*j*q**4 - 2*j*u**2 + j*u + o**2*q**4*u**2 + 2*o*q**2*u**2 wrt q?\nAnswer: -2256*j*q + 24*o**2*q*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 451*s**2 + 6*s - 7. Let c(k) = 2*k**2 + 5*k + 4. Let b be c(-2). Let v be n(b). Let t = v - 12690\/7. Find the common denominator of t and 12\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 5)*10\/(-4). Suppose -5*p - v*u + 15 = 0, 3*u - 2 + 17 = 5*p. Factor 5*q**2 - p*q - 2*q**2 + 0*q.\nAnswer: 3*q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -b - 17, 0*b - b = -4*t - 23. Suppose -2*s + 0*s = -8. Suppose w + 29999999 = 5*u, -b*w = w - s. Round u to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of z**9\/168 - z**5\/4 + 17*z**2\/2 - 13. Let o(d) be the second derivative of x(d). Find the third derivative of o(l) wrt l.\nAnswer: 360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 328\/435 + -18\/29. Which is the biggest value? (a) i (b) -4\/5 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2210 - -2214. What is the closest to 2\/17 in i, -2\/11, 5, -3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 997 = 4*b + 321, -a + 5*b - 659 = 0. Let f = a - -1391. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j**3*y + 5912996*j**3 - j + 2412193*y wrt j?\nAnswer: -18*j*y + 35477976*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + -1)*115\/10. Let l(i) = i**3 - 23*i**2 + 12. What is the lowest common multiple of 62 and l(s)?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -4*c + 5*j, -84*j + 87*j - 21 = -c. Solve 3*h - l = -c, 0 = 2*h + 2*l - 2 + 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/((sqrt(10)*3 + sqrt(10))*-4).\nAnswer: -sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6*z - 96 + 50 - 48. Let g be c(16). Solve -8 + g = 2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5029\/12 - -419. Suppose -60 + 10 = 5*z. Let k be (-2)\/(-9) - z\/(-45). Which is smaller: k or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 9.68. Let u = 0.02 - x. Suppose -3*n = -3*d - 6, 3*d + 8 = -1. Which is the nearest to u? (a) 0.1 (b) n (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -116 - -94. Let r = 18 + j. Let f = 357 - 4643\/13. Which is the nearest to 2? (a) f (b) r (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 minutes before 7:17 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2. Let r(a) = a**2 - 28*a + 3*a**2 - 1 + 3*a**2 + 32*a. Let y(l) = 2*l - 103. Let t be y(49). Give t*i(w) + r(w).\nAnswer: 2*w**2 + 4*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7015946813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1035280083?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -133 by 7859.\nAnswer: -133\/7859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6042)\/9576*48)\/(2\/(-7))?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 0*l**3 + 1 + 0*l**2 - l**3 + 2*l**2 + 2*l. Let b be s(3). Let h be 3 - b*2\/4. Put -0.01, h, 1 in decreasing order.\nAnswer: h, 1, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 790 - 787. Determine d, given that 3\/4*d**4 - 1\/4 + 3\/4*d - 1\/2*d**c - 1\/2*d**2 - 1\/4*d**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ctububbbbmtcctb. What is prob of sequence ct?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*11\/308 - 82\/(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 + 4*s**2 - 6*s**2 + (-2*s + 1 - 1)*(-9*s - 2 + 0 + 1) as p + u*s + l*s**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 + -3 + (-5173857)\/(-117)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 666 - 96 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 545.0906 + -545. Round h to three decimal places.\nAnswer: 0.091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 6*r - 15. Let c be 190000 - r\/(-6)*0. Round c to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 1:03 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32.9 + 28. Let l = 3 + -2.9. Let w = l - a. What is the biggest value in -0.5, -2\/7, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -v**5\/30 + 5*v**4\/12 - v**3\/3 - 9*v**2. Let t be h(14). Let c = 528 + t. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 11:50 AM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -14. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 754*r**3 + 17336*r**2 - 18234*r + 144 = 0.\nAnswer: -24, 3\/377, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 6:41 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 32737, 40000, 47251, 54484, 61693, 68872, 76015, 83116?\n\"Answer: -v**3 + 7270*v + 25468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 339*l**2 - 5*l + 7048.\nAnswer: 678*l - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) -2 (c) 17 (d) -76 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 7*x**2 - x + 9. Let d(f) = f**3 + f**2 - 3*f + 1. Let q be d(2). Let k be w(q). Which is smaller: 3\/5 or k?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -111021110011101110?\nAnswer: -111021110011101120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1720 by -430.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}