diff --git "a/data/dm_maths/full_data_1/10739_11255.jsonl" "b/data/dm_maths/full_data_1/10739_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10739_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: b\"What is the kth term of -12137, -48519, -109147, -194021?\n\"Answer: -12123*k**2 - 13*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233 - 247 = -6*a. Suppose -z = -g + 81, -5*g + 7*z - 4*z = -403. What is the lowest common multiple of a and g?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -156, -152, -150, -150, -152, -156, -162?\n\"Answer: -o**2 + 7*o - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -128*y**6 + y**2 + 43.\nAnswer: -15360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11106 (b) -23 (c) 0 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 234051673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifteen quarters of a milligram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 610439, -2, 4, -5, -4 in increasing order.\nAnswer: -5, -4, -2, 4, 610439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 + (-20 - ((-37 - -15) + 5 + 12))?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c + 11*c = -13*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 371384659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((32 - 32 - 16*m)*(1 - 1 + 1) - 3*m + m + 0*m)*(4 - 4 - 4*m**3 + (2*m - 2*m - m**3)*(4 - 3 - 2) + 0 + 2*m**3 + 0).\nAnswer: 18*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*r - 2 = 0. Differentiate -r - p + 3*p - p wrt p.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 458375 divided by -458375.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of b**3\/6 - 72*b + 76. Let s(w) be the first derivative of f(w). Let z(n) = -9*n**2 - 4*n. Give s(z(j)).\nAnswer: -9*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**3 - 4*t**2 + 24*t = 0 for t.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198*-1519.\nAnswer: -300762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 8*g + 24. What is the units digit of b(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -c - 11, -2*c = t + 4*t + 37. Let s(m) = -2*m. What is the tens digit of s(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 7*f**2 + 3*f - 9. Let y be o(7). Let d be y\/30 + 143\/5. Let j = -12 + d. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21031889 = 8*c + 49587159. Let f = c + 3066509. Let y = 13560872 + f. What is y rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - u = -77. Let l(a) = 286*a**2 - 69. Is l(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/6, -0.3, -7\/3, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.71 times 1.2\nAnswer: -0.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4426.585 micrograms in milligrams?\nAnswer: 4.426585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*x + 31*x - 6199 - 3976 = 0 for x.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 975 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t + 1. Let l(g) = -2*g. Let k(o) = -5*l(o) - 2*m(o). Let i(p) = 20*p + 14. Let a(s) = 7*s + 5. Let d(j) = -17*a(j) + 6*i(j). Give 6*d(x) - 2*k(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 2*d + 4*v - 3 = 0, 10 = -4*d + 3*v. Let b = 9 + d. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 10*c + 6. Let t be x(-11). Let p be ((-1)\/(-2))\/(4*t\/(-1080)). Solve -3*d = -2*j - 23, -2*d = -3*j + d - p for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**2 + 908292*h + 103124294658 = 0 for h.\nAnswer: -227073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.068 times 19.356\nAnswer: -1.316208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from ztzzzzztzzzztzz.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1820844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f**3 + 3*f**3 + 4*f**3 + (f - 1 + 1)*(2*f**2 - f**2 - 3*f**2) to l*f + i + p*f**2 + j*f**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9150633*i - 22413199 wrt i?\nAnswer: -9150633","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.04261 - -0.04249713. Round u to six dps.\nAnswer: -0.000113","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 - 43 = 10*z. Solve z*g + 3*d = -17, 2*g = -3*d - 12 + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4364640 and 9336.\nAnswer: 1697844960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258000 = 3*g - g. What is g rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18400, 19664, 21772, 24724?\nAnswer: 28520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 2895786?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/8164205?\nAnswer: 2\/8164205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 746 and 60046?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s. Suppose 32 = -2*z + 18*z. Let q(u) be the first derivative of 0*u**z + 0*u - 2 - 1\/3*u**3. Give t(q(p)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 110858 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c = 1785 + 5027. Let b = c + -363. What are the prime factors of b?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 5*u + 2. Let w be f(-5). Suppose -6 = -w*c - 2. Suppose -c*p + 38 + 58 = 0. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*a**2 - 1\/3 + 1\/3*a - 1\/3*a**3.\nAnswer: -(a - 1)**2*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*f + 69*f + 252. Let w be ((-12)\/(-162))\/(((-20)\/f)\/5). Sort w, 0.4, -25, -0.3 in descending order.\nAnswer: 0.4, w, -0.3, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -278907, -1115630, -2510175, -4462548, -6972755?\n\"Answer: -f**3 - 278905*f**2 - f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (1 - -4 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4 + 15\/2. Let z(u) = -10*u**2 + 28*u + 10. Let c(p) = -4*p**2 + 11*p + 4. Let y(w) = -12*c(w) + 5*z(w). Let o be y(h). Round o to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 4*h + 2*m, -2*m + 6 = -4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 308 + -324 + (1 - 0) + 37.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -30*g**5 - 155*g**4 - 385*g**3 - 265*g**2 + 25. Let d(r) = 5*r**5 + 26*r**4 + 64*r**3 + 44*r**2 - 4. Let w(z) = 25*d(z) + 4*i(z). Solve w(c) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 7*j**2 - j + 10. Let p be 3 + -6 + 12 + -2. Let u be x(p). Solve 5*b - 7 = u*n - 0, b + 1 = 3*n for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d + 29. Let j be k(-9). Suppose -2*n + 2 = n + 4*m, 0 = -j*n - 2*m + 2. Solve 6 + 1 = y - n*x, -y - 3*x - 18 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6609, 13195, 19783, 26373?\n\"Answer: f**2 + 6583*f + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 7:35 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -106 - -122. What is the remainder when 56 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -121\/24, -4.59 in descending order.\nAnswer: -0.2, -4.59, -121\/24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**3 + 49 - 22 - 2*z + z**3 - 23 + 4*z**3.\nAnswer: 10*z**3 - 2*z + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3560138 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 4*f - r, r - 20 = -f - 3*r. Let l = 10 - f. What are the prime factors of (-16)\/(-12) - l\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 3*z**4\/4 - 11*z**3\/4 - 3*z**2\/2 + 3*z + 14. What is a in b(a) = 0?\nAnswer: -1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -41, -128, -301, -602, -1073, -1756, -2693?\n\"Answer: -7*m**3 - m**2 - 35*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2134 - 2119. Let z(w) be the first derivative of -w**2\/2 + 2*w - 3. Let x(p) = 6*p - 15. Give r*z(b) + 2*x(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a day in minutes?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31.76 or 1?\nAnswer: -31.76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-0.4721139.\nAnswer: -0.14163417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b**2*x + 391015*b**2 + 39982*x wrt b?\nAnswer: 4*b*x + 782030*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/21*5\/(30\/1071). Let f be (341\/(-44) - -8)*84. What is the greatest common divisor of s and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*o + 361 = o for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + d + 3*d)*(-69*d**4 - 291*d**4 + 12*d**4) - 7*d**4 - 5*d**5 + 7*d**4.\nAnswer: -1049*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -184216 divided by 5.\nAnswer: -184216\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5573*s - 5561*s + 180 = 0 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -754 divided by 377\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + 0.4. Let t = -2.84 + -0.36. Let v = g + t. What is the second smallest value in -0.3, v, -0.05?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24 in 0.2, -0.3, 16028?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368405?\nAnswer: 5, 73681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5701976 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 7*r**4\/24 + r**3\/6 - r**2\/2 + 3. Let g(u) be the second derivative of q(u). What is the tens digit of g(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1627 = 8*l - 1749. Let g = 373 - l. Does g = -148\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -41*f + f**3 - 14*f**2 - 39*f + 23 + 0*f**3 + 67*f + 5. Calculate u(15).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9 + -1.1. Let y = -368 + 369. Which is the third biggest value? (a) y (b) l (c) 4 (d) 5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -227a (base 16) in base 8?\nAnswer: -21172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s - 14. Let x(t) = -6*t - 13. Give -4*i(l) + 5*x(l).\nAnswer: -10*l - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*h - 4154 = -12382 for h.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/7 and 29\/1233.\nAnswer: 8631","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m - 7. Give c(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence etbe when four letters picked without replacement from eppeeputbtuuume.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6171) + sqrt(6171)*-3 + -2*sqrt(459))\/((sqrt(243) + (sqrt(243) - (sqrt(243) + 5*sqrt(243)*-1)) - sqrt(243))*4).\nAnswer: -7*sqrt(17)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -57*x**4\/4 + 996*x**3 - 5139*x**2 - 113640*x - 11904 = 0.\nAnswer: -8, -2\/19, 16, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1076625 is divided by 358874?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/222? (a) 0.2 (b) 3 (c) 1 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*l + 2*l - 12104 = 29656. Calculate the smallest common multiple of 68 and l.\nAnswer: 5916","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -14 (b) -1 (c) -0.54 (d) 518\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 b when two letters picked without replacement from {b: 1, d: 1, j: 2, z: 1, p: 4}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33828 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -96\/13 - -2758\/377. Let j = -3764.5 - -3765. Put -2\/15, d, -1, j in ascending order.\nAnswer: -1, -2\/15, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -6. Let d be 10 + -7 - (j + 1). Let k(c) = 5 - c**d - 9*c**2 + 3*c**2 + 3 + 2*c + 0*c. Give k(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 46\/(-120) - (-1)\/4 - (-1232)\/240. Solve 2*l = 53*b - 56*b + 15, 5*l = n*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 6*f**4 - 2*f**3 - 15*f**2 + 2*f - 2. Let m(z) = z**4 - z**3 + z - 1. Let b(d) = 2*m(d) - t(d). Find the third derivative of b(u) wrt u.\nAnswer: -96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.003865 + 0.004. Round h to five dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10201231 + 0?\nAnswer: -10201231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3 = 1. Solve -s = -f + 6 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12326*h**2 - 49030*h**2 - 13092*h**2.\nAnswer: -74448*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Divide -6607201 by -1.\nAnswer: 6607201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1354.\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4312 is divided by 1437?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -61561 or -2647074\/43?\nAnswer: -2647074\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 plus 61570780626?\nAnswer: 61570780619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (190*k - 353*k + 192*k)*(5 + 0 + k**3 + 7).\nAnswer: 29*k**4 + 348*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2864946 + 653206661\/228. Let d = l + 62\/57. Calculate the common denominator of d and 109\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -115*m - 1839. Let z be c(-16). Suppose 32 = 4*q - 0*q. Put -3, q, z in descending order.\nAnswer: q, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*o + 15 = 313*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 203 and 447055?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -554.77 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-38))\/((-206)\/(-3914))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1707.\nAnswer: 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52325.96 centuries to years.\nAnswer: 5232596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f - 11*f + 23*f.\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -4816, -5 in decreasing order.\nAnswer: 0, -2, -5, -4816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6196295, 6196286, 6196277, 6196268, 6196259?\n\"Answer: -9*t + 6196304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, n: 1, r: 5, h: 4, d: 1, c: 7}. What is prob of picking 2 r, 1 n, and 1 x?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 302190 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10214636 to the power of 1\/2, to the nearest integer?\nAnswer: 3196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 21*b**2 - 24*b - 38. What is p(-22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 18, 60, 102, 144, 186?\n\"Answer: 42*h - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62*o + 31*o**3 - 26*o**3 + 23*o**3 wrt o.\nAnswer: 168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2 - 4*j. Let m be u(-5). Let o = m + 59. Calculate the remainder when 56 is divided by o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*v = -179*v - 302 - 267 + 6397 for v.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 9. Put 5, -4, x, -2 in decreasing order.\nAnswer: 5, -2, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x + 4137426 - 4*x - 4137292 - 3*x**2.\nAnswer: -3*x**2 - 2*x + 134","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fdd when three letters picked without replacement from ffffddfddfdddfdd.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5*3*((-4)\/(-2))\/(-10)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -6 + 4 + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 6*f - 249. Suppose 140*u = -90*u - 352 + 9552. What is s(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.01 (b) -64 (c) -535\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 371*o**3 + 1335*o + 1318*o - 2654*o - 5*o**2 in the form x*o**3 + c + f*o**2 + w*o and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**3 + 13*k**2 + 2*k + 21. Let i be v(9). Let d = 604 + i. List the prime factors of d.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2418 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 13*f**2 - 13*f + 17. Let y be h(-12). Suppose 7*v - y = 76. Calculate the remainder when (2 + -8)\/(18\/(-171)) is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5088)\/2544*49\/2.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 285055 + -1.89565?\nAnswer: 285053.10435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10221 (base 3) in base 16?\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-7 - (-13 + 5) - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4717770299?\nAnswer: 11, 71, 6040679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -40 + 13 + (6 - 28)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -255783, -511039, -766279, -1021497, -1276687, -1531843?\nAnswer: -1786959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*h - 95*h + 21*h)*(2*h - 2*h + 2*h) - 16*h + 2*h**2 - 2 + 14*h + 0*h**2.\nAnswer: -88*h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25173 is divided by 2157?\nAnswer: 1446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.197 + -0.2565. Let s = 0.06 + y. Round s to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5781 - -5780.997661. Round v to four decimal places.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 19*m + 9*m**2 - 188 + 15*m**2 + 200. Is u(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 divided by 36.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7928, 7939, 7950, 7961, 7972?\nAnswer: 7983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = w - 8. Suppose -w = o - 3*o. Let q be ((-5)\/(-3) + 1)\/(54\/2025). What is the highest common factor of q and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*a - 4*p + 51, -a + 3*p = -25. Suppose 0 = -a*o + 36*o - 60. Which is greater: 29 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*c = 3*q - 15, -2*c + 17 = 3*q. Suppose -2 - 58 = -q*y. Solve -2*j - 2*j - y = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 3*g - 2. Let h be x(-3). Let j = -343 - -255. Let w = h - j. List the prime factors of w.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -11*x**2 - 45*x + 11. Let c(h) = 6*h**2 + 22*h - 6. Let w(j) = 7*c(j) + 4*t(j). Let s be w(-13). Solve 0 = -s*a - a - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5386 divided by 2.\nAnswer: -2693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -783434?\nAnswer: 783433.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxc when three letters picked without replacement from xccxcvvcpxxppcc.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*t - 120. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - -1 - (-8)\/(-2). Let a be -107 + (2 - (-3 - l)). Let j = a - -154. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 3\/8, 0, -4, 65\/4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 40?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 11. Let y be -1*(c + (3 - 4)). Suppose -4*o = -3*o - y. Solve -o*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and 2828196.\nAnswer: 2828197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10314 and 137510832.\nAnswer: 1237597488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 852 + -4244\/5. Factor -n*d**3 - 48\/5*d**2 - 64\/5*d - 32\/5 - 2\/5*d**4.\nAnswer: -2*(d + 2)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29 and 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - -1 - (2 + 3). Is (-119)\/((-2)\/y)*-1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 993470630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47\/11 - 1361\/110. Find the common denominator of 8\/7 and l.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (0 - 320\/(-52))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 6. Suppose i*a + 184 = -3*z + 523, 3*a + 5*z = 268. Let b = 124 - a. What are the prime factors of b?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -678 + 754. What is the remainder when b is divided by 47?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 0, 2, -4256611 in descending order.\nAnswer: 2, 0, -1, -5, -4256611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(10\/17)*w**(-21))**23 assuming w is positive.\nAnswer: w**(-7981\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-1)*(-1 + 2). Let z(p) = -7*p - 9. Let w(d) = d + 1. Let t(k) = 6*w(k) + z(k). Calculate t(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 154, 173, 204, 247, 302, 369, 448?\n\"Answer: 6*l**2 + l + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q - 12*q + q**2 + 11*q + 3*q - 5*q.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -42142?\nAnswer: 42143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*a + 62*a = 180 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 69272601149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 2. Let v = t + -3. Suppose -3*u + 27 + 6 = v. Calculate the lowest common multiple of u and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 3*o - 5. Determine k(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16 and -1693.878944908.\nAnswer: -1677.878944908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5 minus 0.1733?\nAnswer: 2.3267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 w, and 1 e when four letters picked without replacement from {w: 1, h: 1, t: 4, e: 7}?\nAnswer: 42\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/17 + 32*m**2\/17 - 2*m.\nAnswer: 2*m*(m - 1)*(m + 17)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**3 - 8*f**2 + 7*f. Let w be a(-4). Let l = w + 57. Solve 3*q + l = 5*v, -2*q - 22 = -4*v - 0*q for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -5*r**2. Let a(z) = -40*z - 532. Calculate a(x(h)).\nAnswer: 200*h**2 - 532","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/355 or -246558?\nAnswer: -246558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - 8. Let p(r) = -r**4 + 2*r**3 + 6. Let z(f) = 5*f**4 - 11*f**3 - 31. Let l(a) = m*p(a) - 2*z(a). What is the first derivative of l(q) wrt q?\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*i + 23788 - 29629 = -78553. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r + 29. What is s(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*m**3 - 3*m**3 - 16*m**3)*(-2 + 0 + 1)*(3 + 1 - 5 + 1 - 2 + 0 + 1 + 1 - 1 + (2 + 0 - 4)*(2 - 3 + 2)).\nAnswer: -105*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*p - 70*p - 2 + 5.\nAnswer: -50*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(280)\/sqrt(5))\/(sqrt(35)\/sqrt(5)*4*-6).\nAnswer: 5*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60 - 54. Find the second derivative of -3*n**3 + x*n**3 - 1676*n + 1661*n wrt n.\nAnswer: 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69920000 rounded to the nearest 1000000?\nAnswer: -70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*f - 3*n + 2*n, -4*f - 5*n + 15 = 0. Suppose -5*b = -a + 7, f = -3*a - a - 3*b - 18. What are the prime factors of (7 - 0) + a\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24628 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 6154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-174)\/(-15) + 6\/15. What is the greatest common factor of d and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*w**2 - 87*w**2 - 410*w - 8405 - 87*w**2 = 0. What is w?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/3771838 and -29\/2514.\nAnswer: 11315514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 250826 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-8) + 22557\/(-876).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*z + 8024 = -19948. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 9. Calculate the remainder when (3\/(-4))\/(1\/(-96)) is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/19? (a) -15415 (b) -2.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5106*z + 2693*z + 14243*z to a + s*z and give s.\nAnswer: 11830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 510 + 666. Suppose 10*v - 2*n = 5*v + 1946, j = 3*v + 3*n. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -748, 4 in descending order.\nAnswer: 4, -3, -748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18115 - 9769. List the prime factors of v.\nAnswer: 2, 3, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - q = 151, 5*v + 665 + 66 = q. Is v greater than or equal to -147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 9*h - 2. Let a be r(-9). Let q be (3 - (a - 3)) + -2. Calculate the highest common factor of q and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*l + 59 - 39 + 142. Which is the nearest to -16? (a) -5\/12 (b) -4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2 + 71*h - 479. Give c(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153547915, 153547909, 153547903, 153547897, 153547891?\nAnswer: 153547885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 628*t - 633*t - 22 = 0, 0 = -2*k + 2*t + 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 395 = -11*t. Let s = -75 - t. Solve -4*a = -6*a - s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2392?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -0*n + 5*n. Let v be (-2 - n)\/4*6. Let q be ((-4)\/6)\/(v\/117). Solve 2*s = -j - q, -5*s - 17 = 2*j + 14 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3340, -12845, -28682, -50845, -79328?\nAnswer: -114125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-8))\/((-3)\/372). Let l = 97 + h. Solve 16 + l = 4*c, -r - 25 = -5*c for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 z, and 1 w when four letters picked without replacement from {o: 1, w: 1, z: 5, e: 2}.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*w = 1255*w - 50061 for w.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.21 - 4.11. Let g = w - 3.3. Let m = g + 7.2057. Round m to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-5) - 13\/(-5). Suppose 0 = 83*l - 181*l + 686. Solve z*x + 18 = -x - 2*w, 0 = -x + 2*w - l for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -297? (a) 0.5 (b) 2\/7 (c) -0.3 (d) 0.01 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2583 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -20 + 3*i - 17 + 37. Let p(g) = 4*g**2. Give h(p(l)).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5*m + 17, 2 = -4*s + 5*m + 31. Let q(o) = 10*o - 57. Let a be q(s). Solve -4*n + a = -5*t, 0 = -n + 2*n - 3*t - 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 914.\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1265545033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21077.04 millennia?\nAnswer: 252924480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 + -38 + (-8 + 3 - -3) + -20?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3, -5, -3, 3, 13?\n\"Answer: 2*k**2 - 8*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iirdsd. What is prob of sequence srii?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: Let g = -23 - -7. Let k = 36 + g. Calculate the greatest common divisor of k and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6315493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 168*f + 3455. What is s(144)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -55317, -110638, -165961, -221292, -276637, -332002?\n\"Answer: -k**3 + 5*k**2 - 55329*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*d + 6 = -d, -5*k - d + 10 = 0. Let t(n) = 102*n - n**k + 0*n**2 - 97*n. Suppose -w - 4*v = 1 + 11, 0 = -2*w - v + 4. Calculate t(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(9*8\/(-72)))\/(21\/(-70))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33816*b = 33832*b - 128 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 14880 divided by 60\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 - -23.9. Let x = -0.3 + s. What is the biggest value in x, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + -5*(sqrt(2) + (sqrt(8))**2) + -2.\nAnswer: -42 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93752 is divided by 9373?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/7)*k\/(k**(-3)\/k))\/(k*k\/((k\/k**(-2)*k)\/k)*k)**(-22) assuming k is positive.\nAnswer: k**(33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 2. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - 24 - (-1 - (-3 + 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + -2*-2*sqrt(104))\/(sqrt(72) - (sqrt(72) + sqrt(72)*2 + sqrt(72))))**2.\nAnswer: 325\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 49 + 0*k**2 - k - 1\/6*k**3. Determine o(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24417 is divided by 220?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -891, -872, -839, -786, -707, -596, -447?\n\"Answer: h**3 + h**2 + 9*h - 902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1283171 plus 4?\nAnswer: -1283167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-6)*8 - -7219. Suppose -5*w = 5*d - x, 0 = -6*d + d + 2*w + 7215. Is ((-1)\/3)\/((-1)\/d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22401 (base 9) to base 7.\nAnswer: -61312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*n - 3 - 7, 3*d = n + 20. Which is bigger: d or 7\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 2*s - 26, 9 = -3*l - 2*s - 0*s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 - 2)*(-f - 313 + 586 - 306) as c + g*f and give c.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2022969 to the nearest integer?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -143*c - 2*c**2 + 73*c + 5*c**3 + 28*c wrt c?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**5 - 2758*z**4\/3 - 86645*z**3\/3 - 716288*z**2\/3 - 914308*z\/3 + 129200 = 0.\nAnswer: -17, -12, -2, 1\/3, 950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + 2*u - 5*x + 25, 2*u = 3*x - 27. Let b(d) = -d + 1. Let s(v) = -2*v + 39. Let z(j) = 4*b(j) - s(j). Let p be z(u). Round p to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.8 times -25?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence br when two letters picked without replacement from {t: 3, b: 1, r: 5, u: 3}?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1098*k - 1069*k - 67 + 863 + 1553 = 0 for k.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2948893489563 less than -15?\nAnswer: -2948893489578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 693 = 297. Suppose 2*f - b = c, 0 = -5*f + 3*b - 6*b + 473. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -329+897\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*t - 3*t + 14 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 43788 (b) 9\/4 (c) -4 (d) 5\/4 (e) 0 (f) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 10*u**3 + 10*u**2 - 4*u - 328. Let r(m) = 2*m**3 + 2*m**2 - m - 3. Give -g(w) + 6*r(w).\nAnswer: 2*w**3 + 2*w**2 - 2*w + 310","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -0.3 (c) 1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a meter in centimeters?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(4\/9)*t*t**(1\/2)\/t)\/(t**(-4)*t**5)*((t**1)**20)**(-40) assuming t is positive.\nAnswer: t**(-14383\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of z**3\/3 + 9*z**2\/2 - 13*z + 97. Determine o(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 1 + 45 = -2*g, 5*p - 56 = -2*g. Solve p = 4*l + 30 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, -1, -0.07, 23.4, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124794a (base 11) to base 14.\nAnswer: 404219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-2)*i**(-3\/7)\/i)\/(i**(-3)\/i)**(-10\/3) assuming i is positive.\nAnswer: i**(-247\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.053 + 0.107. Which is the third biggest value? (a) -0.2 (b) -3\/7 (c) x (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3696 divided by -16\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 9473.94 to the nearest 10.\nAnswer: 9470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -3 - -2) + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1157 + 1160. What is the nearest to 1\/2 in o, -2\/5, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -9493 and -1803958637.\nAnswer: -1803968130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -73 times 0.76\nAnswer: -55.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/320 or 0?\nAnswer: -1\/320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 22462498*c**2. Let g(i) = i**2. Calculate g(x(v)).\nAnswer: 504563816400004*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 56637557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 41074.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34 + -20346220?\nAnswer: -20346254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19652*s**5 + 12716*s**4 + 45424*s**3 + 14656*s**2 + 1664*s + 64 = 0.\nAnswer: -1, -2\/17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 68743 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10271889*q**3 - 5575*q - 252.\nAnswer: -61631334*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26127, 52246, 78365, 104484?\nAnswer: 130603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 277?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/10 + (-183134)\/(-4445)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 h when three letters picked without replacement from {a: 2, i: 2, z: 1, h: 2, v: 1, s: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1356831?\nAnswer: 3, 7, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8520 and -6118?\nAnswer: 14638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 100*j**2 + 108*j + 171. Is u(25) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70912 divided by -8?\nAnswer: 8864","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 44376221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00075333 rounded to five dps?\nAnswer: 0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 105?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*x + x = 4, 5*f - 2*x = 17. Suppose f*t - 5 - 1 = 0. Suppose t = 2*y - 2*l, l - 5 = -y - 2*l. What is the remainder when y is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w - 7*w - 13*w**3 + 22*w**3 + 7*w**3 - 2*w**3 - 3*w**3 + (5 + 0 - 3)*(0*w + 0*w + w**3).\nAnswer: 13*w**3 - 7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -27617 at least as big as 577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 11:12 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-575)\/(-230) + (2 - 5394\/1180). Is 0 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 98 = 73. Let z be 0\/1 + (-29)\/(-1). Suppose 2*q - l = -o, -3*q + 2*o + z = -46. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 174532, 19 in descending order.\nAnswer: 174532, 19, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000429689776 to six dps.\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = a + 7 + 1, 4*a + 5*b + 45 = 0. What is the tens digit of (-98*(-2)\/a)\/((-4)\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15.3647 or -955?\nAnswer: 15.3647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzi when three letters picked without replacement from {u: 1, c: 4, z: 8, i: 2, v: 1, t: 4}?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2858\/14 + 2\/(-14). Let c = g - 177. Solve 5*r + 4*q = -35, 4*r + 0*q + c = -3*q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 469*a + 4840. Determine y(10).\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-18)\/u**16 assuming u is positive.\nAnswer: u**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**3*x**2 + 886*p**3*x + 1870*p*x**2 wrt x?\nAnswer: -4*p**3 + 3740*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*j + 1. Let f(o) = o**2 - 6*o - 5. Let i be f(7). Let m be (-4)\/(1\/i*-1). Calculate the greatest common divisor of m and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1913047571?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 13506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 3*d**2 - d - 1. Suppose w + w = 0. Suppose q + w*q = 2. What is a(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 10:07 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -14 + 37 + -2 + -15?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1825 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 53796\/5, 4, -5, -1, -2\/3 in descending order.\nAnswer: 53796\/5, 4, -2\/3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1003900 to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p**2. Let i(r) = -r - 346. Give i(g(k)).\nAnswer: 3*k**2 - 346","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7523, 6626, 5135, 3050?\n\"Answer: -297*s**2 - 6*s + 7826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*m + 177*m + 2*m**2 - 153*m - 41*m + 52*m.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -245 times 10\nAnswer: -2450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15350*o**2 + 30705*o**2 + o - 15357*o**2 - 397*o**3)*(17*o - 14*o + 18*o) as v*o**3 + c*o**4 + n + w*o**2 + m*o and give w.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -168.4 - -183. Let i = d + -13. Let t = i + 4.4. Which is the third smallest value? (a) t (b) 3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v*v**(1\/3)*v*v))\/v**6*(v**(2\/9))**43)\/((v**2\/v)**(2\/9))**(3\/7) assuming v is positive.\nAnswer: v**(8\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*o - 21*o + 81*o + 43*o - 8.\nAnswer: 175*o - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 19*f - 15*f)*((5*f**3 - 2*f**3 - 4*f**3)*(-5*f + 2*f + f) - 4*f**3 + 4*f**3 - 3*f**4).\nAnswer: -4*f**5 - f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267 = -4*j + 2*u + 127, -6 = 2*u. Let y = 102 - j. Solve 4*t + y = -7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5855*z**3 - 27*z + 16. Let k(c) = 1952*c**3 - 9*c + 5. Let r(g) = 4*h(g) - 11*k(g). What are the prime factors of r(1)?\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -20*k - 2. List the prime factors of w(-2).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w**2 - 25*w + 18. Determine o(7).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 33 + -5?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 7*t**2 + 20*t - 9. What is the units digit of x(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -927?\nAnswer: -3708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h**3 + 5. Let r(i) be the first derivative of -i**5\/5 + 2*i**2 + 80*i - 105. Let d(p) be the first derivative of r(p). Determine -5*d(u) + 4*s(u).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -5*m**3 - m**2\/2 + m - 2. Let l be p(1). What is the units digit of (10\/l)\/(2\/(-18))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-48)\/(-15) - 4\/(-5). Let w = 2154 - 2153. Let b(d) = 6*d**2 + 6*d + 8. Let i(r) = -r**2 - r - 1. What is o*i(n) + w*b(n)?\nAnswer: 2*n**2 + 2*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 5*w = 12. Suppose -w*h + 3*c - 3 = -2*h, -2*c = -2*h - 2. Solve -2*r + 4*r + 4 = h for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24701.62l to millilitres.\nAnswer: 24701620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 216475*i**2 + 32278 with respect to i.\nAnswer: 432950*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2469 = -6*c + 1887. Suppose -c = -0*d + 11*d. Let g = d + 157. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7200?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, e: 4, r: 8}. What is prob of picking 2 r and 2 e?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*o = 29*o - 56 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 75.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 57946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314*f + 102*f + 3*f**2 - 108*f.\nAnswer: 3*f**2 + 308*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*r**2 - 10*r**2 + 7*r**2 - 29*r - 15*r**2 + 11*r.\nAnswer: -35*r**2 - 18*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 14\/(-42))*45?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1734863990.\nAnswer: 2, 5, 173486399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12520 + -12523. Let o(d) = -1. Let c(k) = -4*k - 4. What is b*o(f) + c(f)?\nAnswer: -4*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8215, 12103, 22653, 43195, 77059, 127575?\n\"Answer: 555*u**3 + u**2 + 7659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11075, -22164, -33253, -44342, -55431?\n\"Answer: -11089*d + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -55321212272\nAnswer: -55321212278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 18 - 22. Solve -t*c - c + 3 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 36\/(-24) - (-271)\/2. Let y(r) = n*r - 8 - 838*r - 1260*r. Let u be y(3). What is u rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (64\/(-10) - -6)*(-2025)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72530 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (2 + -2) - (34 - -2 - 30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 556038 and 9450.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.2, -2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -9*f**3 + 361605*f**2 + 241077*f - 120537 = 0.\nAnswer: -1, 1\/3, 40179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 256 * 3.4.\nAnswer: 870.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, u: 2, x: 1, y: 2, f: 7, v: 1}. What is prob of picking 2 u?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2204 divided by -29\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/7922370 and 83\/21.\nAnswer: 55456590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3275574 to the power of 1\/4, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 5 = 4*s + 2*j, 0 = -3*s - 5*j + 14. Let p(m) be the second derivative of -7\/30*m**4 - 9\/5*m**2 + 0 - 1\/50*m**5 + 3*m - m**s. Solve p(x) = 0 for x.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 + 77 - 439*x**3 - 147 + 70.\nAnswer: -439*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -387265 divided by -5?\nAnswer: 77453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11046041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -25 (b) 831 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of 2*r + 0*r**2 + 0*r**3 + 1\/10*r**5 - 1\/6*r**4 + 0. Factor g(b).\nAnswer: 2*b**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 9:09 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 16 and -2.593543056.\nAnswer: 13.406456944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*s = -130. Is s\/4*154\/7 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 2*f - f - 155, -4*k = -f - 157. Which is smaller: k or 40?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 75 = 2*c, -5*c + 12 = -4*d - 192. Calculate the highest common divisor of c and 280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 434602291.6 rounded to the nearest ten thousand?\nAnswer: 434600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36001620*t**4 + t**2 + 47666070*t wrt t.\nAnswer: 432019440*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Evaluate ((-5)\/5)\/((-7)\/(-42)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*z + 380*z + 177338 - 28316 = -2744*z for z.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -5 + (-2 - (-1 - 1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = -y. Let d(v) be the first derivative of -1\/3*v**6 + 0*v**2 - 2\/5*v**5 + 0*v + 2\/3*v**3 - 2 + 1\/2*v**y. Suppose d(u) = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8292 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and 667?\nAnswer: 7337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 7*v + 1. Let z(p) = 4822*p**2 - 15*p + 2. Give z(a(i)).\nAnswer: 236278*i**2 + 67403*i + 4809","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 8*x = -4*x - 12, 3*x = -4*d - 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*1*sqrt(153) + sqrt(153))\/(sqrt(9) + sqrt(9)*-2*5)*-2)**2.\nAnswer: 68\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2, 0.5, -139?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(6*(sqrt(170) - -5*sqrt(170)))\/(sqrt(50)\/(sqrt(35)\/sqrt(7))).\nAnswer: 108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x - 3*x + 1144 = 0. Is x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-33)\/(-4) - 8) + 10323\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 41159 - -28?\nAnswer: 41185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 547860 and 452580.\nAnswer: 10409340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1452 and 1694.\nAnswer: 10164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1167855?\nAnswer: 3, 5, 13, 53, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31427123.\nAnswer: 7, 13, 241, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 478541 and 822.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 173065?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8149.\nAnswer: 29, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5800040 and 1245.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 36*p**3 - 7.\nAnswer: 36*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbbzbzbtttttt. What is prob of sequence tbt?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hy when two letters picked without replacement from {o: 3, u: 7, y: 5, h: 2}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (30 + 10)\/(-1*-2*1). Suppose o*y = 30*y - 19010. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 923657.09 to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362 - 5*r - 565 + 203.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 594 by 3.\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -24*p - 4. Let s(h) = -h. Determine w(s(l)).\nAnswer: 24*l - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22763359 is divided by 1327.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (18\/(-4) - -2). Suppose -688*z + 692*z = -5*u + 18, u + 2*z = 6. What is the closest to 1 in s, u, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 525638\/(5\/(-5) + 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 422330584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s + 0*s + 3*s)*(3*s - s - 4*s) in the form f + q*s**2 + p*s and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i - 4*y - 23 = 20*i, -6*i + y = -20. Solve -5 = -o - 4*n, i*o - 64 = -3*n - 49 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/840)\/((-97)\/(-6984)).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, k: 1, g: 10, p: 4}. What is prob of sequence pkpp?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7876464.\nAnswer: 2, 3, 164093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 715 a factor of 72956455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 100.3136 to zero decimal places.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.12 - -0.1. Let t = -117.22 + 119. Let o = 6.78 - t. Which is the closest to -1\/4? (a) o (b) -2\/17 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/143, -2 in descending order.\nAnswer: 2, -2\/143, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 + 4*h. Let q(m) = -240*m**2 - 100*m. What is -100*a(w) - 4*q(w)?\nAnswer: 760*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 42?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*f + 1\/4*f**2 + 0.\nAnswer: f*(f - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*p + 171702 - 174342 for p.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -485*j**3 - 604 - 2227820*j**4 + 2227818*j**4 - j + 3*j wrt j?\nAnswer: -24*j**2 - 2910*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n - 1 + 2*n + 0*n - 2*n + 2*n**4 in the form u*n**3 + i*n**4 + y*n**2 + h*n + v and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*f**2 - 30*f**2 + 104*f**2 - 23*f**2.\nAnswer: 23*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -2563920?\nAnswer: -1\/170928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9806 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/2*12\/9. What is the units digit of 2\/n - (-4 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(2\/19)*c)\/c**1*(c*c**2)**(-4\/7) assuming c is positive.\nAnswer: c**(-81\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2174\/1365 - 292\/195. Let x be (-2)\/2 + (-34)\/(-38). What is the closest to 1\/3 in x, 2\/5, f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/(-3*1\/(-3)). Let g = -8 - b. Calculate the remainder when 23 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*o + 6 = 3*z + 22*o, -3*o = 5*z - 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 2*b - 4. Solve 0 = -0*n - b*n + 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60 + 10 - (71 - 105)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 10:17 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -49, 1, -70.\nAnswer: -70, -49, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 46. Let h = s + 22. Solve 3*y - h = -4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h - 10. Let o be z(-10). Solve -y + 5*y = -2*u + 12, o = -2*y - 5*u + 14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 100 = 4*g, -12*g + 5*r = -3610 + 3310 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 36b30b + -2?\nAnswer: 36b309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.4 * -0.0046.\nAnswer: -0.01104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*c**2 + 0*c**3 - 4*c**3 - 28 - 5*c + 12*c**2 + 26 to the form v + f*c**2 + y*c + r*c**3 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39 + 39 - 3*l**3 + 5*l wrt l.\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -4*r + 47 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (24*((-133)\/28)\/(-19))\/((-9)\/42)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + 5. Let o = -4 + 6. Suppose 14 = 2*g + o. Calculate the smallest common multiple of t(-6) and g.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 372746*f**2*k**3 - 60*f*k**3 + 25*f wrt f.\nAnswer: 745492*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m - 5. Let x be n(-8). Let r be (-3)\/x + 2673\/2064. Let l = -3\/172 - r. Find the common denominator of -57\/2 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 2253*z - 1135*z - 1237*z to i + l*z and give l.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 942 - 386. Let i = 302 + o. Suppose y = -5*s - 3*y + i, -3*s = -y - 508. What are the prime factors of s?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49966*i**2 + 15961 with respect to i.\nAnswer: 99932*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 498267514 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*m - 24 + 198 - 24*m.\nAnswer: 43*m + 174","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**6*d**(-2)*(d\/((d*d**(1\/3)\/d)\/d))**(10\/11)*((d*d**(-1))\/d)**(-7\/2)*(((d\/(d*d\/d**(3\/2)))\/d*d)\/d*d)\/(d*d**(2\/23)) assuming d is positive.\nAnswer: d**(7156\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -115, -252, -443, -688, -987, -1340?\nAnswer: -1747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0*t - 14 = 4*v, -2*v + 5*t = -6. Let l be v\/(-10) + -6 + 389\/5. What is the highest common factor of l and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*(i\/i**(2\/7)*i)\/i)**(-20\/7))**(-27\/4)\/(i\/(i*(i*i*i**(-8))\/i*i)*i*i\/(i*i**(-2\/17)\/i*i))**11 assuming i is positive.\nAnswer: i**(-21614\/833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30989*c**5 + 10*c - 9723 wrt c.\nAnswer: -619780*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 16. Let w = 13 + y. Differentiate -4 + 0*s + w - 5*s wrt s.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3950*i**2 - i - 1. Let x be h(2). Let g be 1*x + (-5 - -8). What is g rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -28. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 1143 = -4*t + 17588, 3*p + 16427 = 4*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 s, and 1 d when four letters picked without replacement from {d: 2, s: 2, g: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -17. Let a(v) be the first derivative of 1\/4*v**4 - v**b - 2 + 2*v - 3*v**2. Calculate a(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -4b?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*((i**(-2\/9)\/i)\/i*i)\/i*i**(-3)\/i*i*i*(i**(-2\/7))**(8\/13))\/((i*(((i**(1\/3)*i)\/i)\/i)\/i)**(2\/79))**(-23) assuming i is positive.\nAnswer: i**(-244973\/64701)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 34. Suppose d = 7*k - 5*k - 1202. What are the prime factors of k?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = 10*n + 6940. Let f = n - -598. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u - 14. Let o be i(6). Suppose -4*r + 4 = o*t, 0*r - 4 = -5*t - 4*r. Let n = -0.1 - -0.3. Which is the closest to n? (a) 2 (b) t (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 0*l + 3*l - 7*l. Let n(k) = -3*k**2 + 7. Let c(i) = i**2 - 2. Let p(x) = 21*c(x) + 6*n(x). Determine m(p(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 147260581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.719 - -1496868985.\nAnswer: 1496868987.719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/18 - (-374)\/(-1035). Let c = f + -6\/23. Let a(h) = -h - 1. Let y be a(0). Is y < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 9*g + 20. Let h be i(14). Let z = 35 + h. Let u be (-6)\/z*(-1)\/((-8)\/(-15)). Which is the third biggest value? (a) u (b) -3\/7 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 3 = c, 0*x - c = -5*x + 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**5\/3 + 251*m**4\/3 + 3250*m**3 + 22256*m**2\/3 - 18596*m\/3 - 4553 = 0.\nAnswer: -29, -3, -1\/2, 1, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31059*o**3 + 9*o**2 + o - 796264?\nAnswer: -186354*o + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10129862 is divided by 61.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -2103101?\nAnswer: 2103112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 300.711 - 34380527\nAnswer: -34380226.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**5\/4 - 85*v**4\/12 + 40*v**3\/3 - 29*v + 2. Factor h(r).\nAnswer: 5*r*(r - 16)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8454*y**3 - 16*y - 8442*y**3 - 19*y + 35*y.\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3*(-59)\/(-118).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34536713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (10 - 4\/2). Let v(p) = -2*p + 9 - p**2 - 3*p + 2*p**2 + 0*p. What are the prime factors of v(w)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1*sqrt(77))\/sqrt(11) + -3.\nAnswer: 1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8216\/3225 = 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -l**3\/3 + 13*l**2\/2 - 39*l - 924. Determine w(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32110990 to the nearest integer?\nAnswer: 5667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**3\/15 - 106*u**2\/15 - 182*u\/5 + 342 = 0. Calculate u.\nAnswer: -9, 5, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -26409 (base 14) to base 8\nAnswer: -267611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of y**5\/30 + 61*y**4\/3 - 31*y**2 - 4. Let f(j) = 0. Calculate j.\nAnswer: -244, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 62 + 4 = 0. Suppose -j - 3 = -4*b. Suppose -16 = -2*r + 2*u + 22, 4*u = -4*r + 36. Calculate the remainder when r is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1123.7231 to the nearest ten.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 5*f + 2*f)*(9 - 1 + 11).\nAnswer: 19*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 10*w**3\/3 - w**2\/2 - 5*w - 12. Let o(r) = 11*r. Give l(o(b)).\nAnswer: 220*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 43.689 and 8.022.\nAnswer: 350.473158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -3 - (13 - 13).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1758a - 57a?\nAnswer: 17010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 7, -4\/5, -59\/17, -150, 0?\nAnswer: -59\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, v: 3, e: 4, s: 2, t: 4}. What is prob of sequence etgs?\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 38 = 2. Let d = r - -25. What is the second derivative of -11*z**4 + d*z + 4*z**4 - 2*z**5 + 7*z**4 wrt z?\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 234 + -233. Let v(w) = 6*w**2 + w - w**2 - 4*w**2 - 3 + 2. Let q(z) = -3*z**2 + z - 1. Let r(k) = f*v(k) - q(k). Let u(n) = -2*n**2. Determine u(r(y)).\nAnswer: -32*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**5\/30 + 10*f**2. Let c(t) = -60 + 60 + 196*t**2 - 40*t**2. Calculate b(c(a)).\nAnswer: -48672*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/21 (b) 3 (c) -0.14 (d) -19\/7 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s - 98. Determine r(19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9629\/9063 + -56\/53. Let m = -337\/855 - b. What is the third smallest value in 5\/2, -5, m?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9614291\/18870 - 18839\/37. Let m = -1\/170 + j. Which is the second biggest value? (a) m (b) -2\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 6*m - 145. Let z be h(27). Suppose 0 = -2*l + 3*l + z. What is the second biggest value in l, 0.3, 1\/9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6713685*o*z**2 + o*z - 58016*o + 2*z + 1 wrt z?\nAnswer: 13427370*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x**3 + 9*x**2 - 32*x - 5. Let w(j) = -2*j**3 + 5*j**2 - 16*j - 2. Let n(u) = 2*f(u) - 5*w(u). What are the prime factors of n(7)?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 + 2*d)*(3 + 4 - 3) + (-2*d - d + 7*d)*(1 + 5 - 1) - 180*d - 314*d + 958*d as y + h*d and give h.\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -558 - -85596?\nAnswer: 8503a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 900*(-3 + (1179955\/(-3))\/5). Round j to the nearest one million.\nAnswer: -71000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (26 - 8) + 38 + 3?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24434424 divided by -14?\nAnswer: -1745316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**1\/p*p*p*(p**29\/p)\/p assuming p is positive.\nAnswer: p**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in -9, 5, 1\/4, 2, -436\/13, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -24*y**2 + 5*y + 2. Let p(r) = 35*r**2 - 7*r - 3. Let z(x) = 7*j(x) + 5*p(x). Determine z(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -9 + (-450 + 414 - (-7 - 0)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*c**3 - 14*c - 2 + 66*c**3 + 4*c**4 + 12*c as i*c**3 + q*c**2 + u*c + n + y*c**4 and give i.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -524, -532, -540?\n\"Answer: -8*b - 516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 4*z - 3. Suppose 6*h - 12 = 2*h. Suppose 15 = 2*x + h*x. Determine s(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 608 is divided by 24\/(-84)*1316\/(-8).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 9 = -10*q. Suppose 3*y = -q*y + 1368. Does 38 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(2\/2))\/((16\/(-40))\/((-58688)\/(-2620)))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/10, 0.05822, 0.37, -5\/4?\nAnswer: 0.05822","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -18, -13, 4, 39, 98, 187, 312, 479?\n\"Answer: t**3 - 2*t - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/36 - (-3)\/2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -1433\/21 (c) 1 (d) -2\/5 (e) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q - 436 = -14*q. Let j = 114 - q. Let p be -2 + j\/((-15)\/(-26)). Which is greater: 8 or p?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46*q**2*r**3*u - q**2*r**2*u + 5*q**2*r*u**2 + 19*q**2*r*u + 7*q - 22*r**3*u**2 wrt r?\nAnswer: -276*q**2*u - 132*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of j**4\/4 - 5*j**3\/3 - 5*j**2\/2 - 4*j - 2. Suppose 4*f + 14 - 38 = 0. What are the prime factors of p(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280*f**2 + 257*f**2 - 6*f**2 - 4*f.\nAnswer: 531*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0.2 (c) -482 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n - 2*n + 3*n)*(-3*n**2 - 5*n**2 - 3*n**2) + (-4 + 4 + 2)*(-3257*n**2 + 3257*n**2 + 262*n**3) to l + k*n**3 + t*n + i*n**2 and give k.\nAnswer: 491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -s**2\/2 + 7*s + 22. Let d be q(13). List the prime factors of 94 - (2 - d - 4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -497*d**3 + 1503*d**3 - 534*d**3 - 488*d**3.\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*w - 98*w + 181860. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2006 less than -6?\nAnswer: -2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 greater than 194\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/72 - (-12)\/(-54)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -375887, -375839, -375791, -375743?\nAnswer: -375695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 0 - (5 + -6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 423, 19 in ascending order.\nAnswer: -30, 19, 423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159482*b - 159498*b + 318914*b.\nAnswer: -66*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -848174000 rounded to the nearest 1000000?\nAnswer: -848000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - d + 1. Let h(x) = 1110*x**2 - 925*x + 925. Give 3*h(v) - 2775*r(v).\nAnswer: 555*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/397 or -159114?\nAnswer: -159114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11183.32 rounded to the nearest 10?\nAnswer: 11180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.47 + 2.47. Put -0.1, -1, i in decreasing order.\nAnswer: -0.1, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*s**4\/13 + 11430*s**3\/13 + 3007578*s**2\/13 + 1201658*s\/13 + 9240 = 0. What is s?\nAnswer: -156, -1\/5, 385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11573, 11503, 11433, 11363, 11293, 11223?\n\"Answer: -70*b + 11643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -477, -3388, -11203, -26346, -51241?\nAnswer: -88312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1189 + -618. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 156.0943 to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8989087?\nAnswer: 97, 92671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1050 divided by -2\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -3\/92261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*t - 1. Suppose 51 + 9 = 4*d. Let s = d - 6. Solve 5*n - l = t*l + 15, 3*n = 2*l + s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1023, 4093, 9213, 16383, 25603, 36873?\nAnswer: 50193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + 4 + (sqrt(8)*-2*5)**2 + (sqrt(968) + -1)**2*3).\nAnswer: -11145 + 396*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4100004 = 5*l + n, 5*l - l - 5*n - 3279980 = 0. What is l rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + -33 - ((-4 - -1) + 15 + 4).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mx when two letters picked without replacement from {e: 2, x: 4, b: 1, m: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11833 and -6?\nAnswer: 11827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -9421492 divided by 11\nAnswer: -9421492\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 10. Let r = 370 + 4. Let j = r + -375. What is the nearest to j in -3\/4, p, 0.5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 10. Suppose -1 + p = -b. Suppose -4*i = 5*r, r - i + b = 10. What is the biggest value in r, -4, -3\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406*p + 296 = -46 + 2372 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/28 - (-22)\/7. Suppose -v*h = 5*o - 0*h - 16, 2*h = -3*o + 10. Solve -3*i - o*b - 2*b + 3 = 0, 3*i + 15 = 2*b for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/(-12))\/((-1)\/3). Sort -2\/15, b, -5.\nAnswer: -5, b, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*j = 21, -2*d + 4*j = 3*d - 3. Let x = 4 + d. Solve -3*i + 2 = -x for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -862 - -32952. Let b = 32091.00015 - w. Let t = b + -1. What is t rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 4)*(54 - 54 + 28*w).\nAnswer: -56*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*4*(-40)\/(-32). Is (l\/4)\/(18\/48) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 24*o + 5. Let q(g) = 8*g + 2. Let f(r) = 3*c(r) - 8*q(r). What is f(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000246520488 to 7 dps.\nAnswer: 0.0000247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 761 + 692*m**3 - 761.\nAnswer: 692*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - u + 1. Suppose 101*v - 15 = 116*v. Let y(p) = 7*p**2 - 7*p + 7. Give v*y(a) + 5*h(a).\nAnswer: -2*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -62*u**2 - 39*u + 39. Calculate c(1).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 453 = -391. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 7:06 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-416)\/(-8) + (4 + 0)*1. Let c be 16\/r*7 + 0\/1. Suppose 0 = 5*y + c*f - 70, -y - 3*f + 0*f = -1. Calculate the greatest common divisor of y and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s + 5*s - 7*s**3 - 7*s**3 + 7*s**3 - 2*s**3 + (-7 + 2 + 3)*(-s**2 + s**2 + s**3) - 2 + 2 + 2*s**3 in the form i*s + k + m*s**3 + g*s**2 and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*i - 6 - 10, -14 = i - 5*l. Suppose 4*a + i = 2*a. Is 10 a factor of a\/12 - (-484)\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -14*g**3\/3 - g**2 - g - 6. What is y(-1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*i = 2*r - 2, -4*r - 10 = -5*i. Suppose y = -0*o - 4*o + 5, -i*o + 2*y - 10 = 0. Solve -x - d + 7 = o, -d - 2 = -7 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162833641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d - 1021 - 1270 = -2543 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 494 at least as big as 1484\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 - 2*z - 4. Suppose -s + a - 5 = 3, -a = 4*s + 7. Let g be l(s). Solve g = 4*q + 4*f, 2 + 0 = f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -3\/25, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p - 5. Calculate the remainder when 59 is divided by k(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 75.136 and -428.58.\nAnswer: -353.444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*x**3 + 51*x**3 - 50*x**3 - 5*x**3.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24760547 is divided by 1177?\nAnswer: 1175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*n - 82*n - 30 = 0. Put n, -4, -7, -3 in decreasing order.\nAnswer: n, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 9*s**2 - 2*s + 80. Let u be q(8). Let k(c) = 4*c - 2. Let f be k(2). Solve u*b - f = -3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -29?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3880.767478117 + -10\nAnswer: -3890.767478117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, t: 9, z: 1, e: 1, w: 4}. What is prob of picking 3 w and 1 e?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359118?\nAnswer: 2, 3, 71, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 170, -1, 2758, -4, 5.\nAnswer: -6, -4, -1, 5, 170, 2758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwmm. What is prob of picking 2 w?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 50 (b) -3\/7 (c) -151\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 247604344 to the nearest integer?\nAnswer: 15735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17.03 - 0.03. Put m, 1, -2\/5 in ascending order.\nAnswer: -2\/5, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4*0)\/((-4)\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -8*p**3 + 6*p**2 - 6*p - 3. Let u(l) = 5 + l**2 - 7*l**2 + 6*l + 40*l**3 - 33*l**3 - 3. Let i(h) = 7*u(h) + 6*v(h). What is i(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**4\/3 - 260*s**3\/3 + 535*s**2\/3 - 90*s.\nAnswer: -5*s*(s - 1)**2*(s + 54)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15749 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 4. Let p = 2.5 + -2. What is the smallest value in -2, p, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -164 by 1.\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 308 = -4*s. Calculate the common denominator of 87\/2 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 13*q**3\/3 - 47*q**2\/2 + 16*q - 152. Let i be y(9). What is the highest common divisor of 38 and i?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -1\/60*r**5 + 0*r + 0 - 17*r**2 - 1\/24*r**4 - 1\/2*r**3. Let s(w) = -7 - 5 + 13 - 2. Give b(i) - 2*s(i).\nAnswer: -i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12251 not equal to 12251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 103, 3.8, 2\/9, -2, 5, 73\/21 in decreasing order.\nAnswer: 103, 5, 3.8, 73\/21, 2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 70, 55, 36, 19, 10, 15, 40, 91?\n\"Answer: u**3 - 8*u**2 + 2*u + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13695 - 13690. Let s be (((-3)\/6)\/(-1))\/2. What is the nearest to s in 3, -2\/9, 1\/11, a?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 44750 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 40.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 1) + (-4 - (43 - 29)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j + 11*j + 10*j + 3*j + 4*j.\nAnswer: 36*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(21\/27)*(-4)\/(-6). Let h(n) = -535*n + r - 4 - 5 - 3. Is h(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 117 + -83. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -70*b + 5525. Let h be n(79). What is the biggest value in 6, -0.2, -3, -0.7, h?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 76 + -73.164. Let c = 3 - x. Let i = c + -0.15. Round i to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*v + d + 2*d, -5*v - 3*d + 6 = 0. Let b = 8 - 6. Let y be ((-1)\/2)\/((-1)\/b). Which is smaller: y or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*k + 2485340 = -54*k - 66*k. List the prime factors of k.\nAnswer: 5, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54*256663.\nAnswer: -13859802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -343800 to the nearest 10000.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 9) to base 5\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 7843*l + 338. Is m(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -112*p**5 + 1690*p**4 - 4394*p**3 + 2888*p**2 + 216*p - 288 = 0.\nAnswer: -2\/7, 3\/8, 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 1. Let l be 6 + 3\/(25\/((-1400)\/24)). Let b be (-4 - 1\/(-1))*-1. Suppose 1 + 2 = -b*d. Let o(k) = -k**3 - k**2 + 1. Calculate d*o(t) + l*z(t).\nAnswer: t**3 + 2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 106 - 102. Solve 4*k - 8 = r for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1103200 - 4043?\nAnswer: 1044102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4669939?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 4. Solve 14 = 5*p + 5*r + 4, -k*r + 2 = 4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 - (80 - 26) - -45.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 2*y - 4. Let k(f) = -f**2 - 3*f - 4. Let q(n) = -5*c(n) + 6*k(n). Let i be (13 + 0)\/((-2)\/(-10)). Let m = 58 - i. Calculate q(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 157\/280 - 11\/40. Let q = -324 + 112. Which is the biggest value? (a) -1\/9 (b) q (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*q**4 - q**3 - 3*q**2 - 3741?\nAnswer: 20*q**3 - 3*q**2 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/6, 22, -5, 2\/12905?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**0\/q*q**2*q*q*(q**(-1\/4)*q)\/q**1 assuming q is positive.\nAnswer: q**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -5, 517, -4, -1, -44, 1 in decreasing order.\nAnswer: 517, 1, -1, -4, -5, -27, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 8*m - 20 = 0. Suppose 5*y - 3*f - 2 = 3*y, 5*f = m*y - 6. Let o(i) = -i**2 + 4*i + 2. What is o(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**2 + 3*s**2 - 3*s**2 - 4*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0*d + u = 4, u + 6 = d. Let o = 0 + 5. Is d smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2873 + -177\nAnswer: 2696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12423*t - 173570 - 217396 = 3948*t + 32784 for t.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*n + 345 = -355. Let b(x) = -10*x**3 + 14*x**2 - 14. Let g(y) = y**2 + 2*y**2 + y - 3 - 2*y**3 - y. What is n*g(q) - 3*b(q)?\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1\/7 (b) -0.1 (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 156, 329, 812, 1761, 3332, 5681, 8964, 13337?\nAnswer: 18956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8062 + -8057. Let l(d) be the second derivative of 0 + 6*d + 0*d**2 - 1\/5*d**f + 1\/18*d**6 + 0*d**3 + 1\/9*d**4. Factor l(x).\nAnswer: x**2*(x - 2)*(5*x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2587397 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30763 (base 9) to base 11.\nAnswer: -14291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 + 0 + 1 - 3374*h + 2711*h.\nAnswer: -663*h - 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/2*54\/135?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 167 + 64 = 0. Suppose 2*u - 46 = 82. Let d = t - u. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107249992 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + 4. Let c = j + -14. Let v = 1 + 0. Sort -0.2, c, v in ascending order.\nAnswer: c, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1.38344 years?\nAnswer: 16.60128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38402? (a) 2 (b) -56 (c) 5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 29*y + 14*y**3 + 0 + 12*y**2 - 25*y - 33*y + 85*y to x*y + r + g*y**3 + z*y**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 1:08 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilometer in centimeters?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-5)*(-43795)\/(-1844)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -9 - 9\/4*t**3 + 12*t + 15\/4*t**2 = 0.\nAnswer: -2, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -3*n**2\/7 + 8087154*n\/7 - 5450171651643\/7 = 0.\nAnswer: 1347859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -674854*z**3 - 51*z - 3156?\nAnswer: -4049124*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*p*u**2 + 3*p*u + 112*p + u**2 + u - 8 with respect to p.\nAnswer: -7*u**2 + 3*u + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 0.8. Let z = 10 + -9. Which is the third biggest value? (a) d (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -14*((-72)\/28 + 0). Suppose -n = -0*k - 4*k. Calculate the remainder when (12 - 306\/27) + (-248)\/(-6) is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20481?\nAnswer: 3, 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*d - 23 = 133*d + 4*x, 0 = -d - 4*x - 13 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -313527 (base 8) in base 11?\nAnswer: -7138a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, -4, 3, -3421?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 + 90*y**2 + 486*y + 702.\nAnswer: 2*(y + 3)**2*(y + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 602 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.917842 times -4?\nAnswer: -15.671368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 6*j**2 + 4. Let y be o(4). Suppose a = -3*a + y. Suppose -2*x - 1 - 7 = 0, -5*p - a = x. Let v(d) = 10*d**2 - 1. Determine v(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5\/6))**20*r*(r*r**15)\/r*r\/(r\/r**(2\/3)*r*r) assuming r is positive.\nAnswer: r**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 107, 105, 103, 101?\n\"Answer: -2*v + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2 + 6*h - 5. Let j(w) = 3*w**2 - 7*w + 6. Suppose -8 = 7*l - 11*l. Let x be -28*l + 10\/(-5). Let a = x + 54. Determine a*j(d) - 5*q(d).\nAnswer: -2*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1121258, 1121256, 1121256, 1121258, 1121262?\nAnswer: 1121268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -246 + 238. Let n be -1 + 5 - (g - -9). Solve -4 = -n*j - j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -2 (c) 19\/84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -46. Let a = u + 19. Solve 0 = 2*k - 2*w - 1 - a, w = -k - 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 - ((-3 - -125) + 114 + -153)\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 100136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 77 + 350 = 11*m - 300 for m.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -97*j**3 - 6*j**2 + 5?\nAnswer: -582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 2:03 AM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2. Let f(q) = -12*q**2 + 6*q**2 + 7*q**2. Give h(f(k)).\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17 + 2a?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192 and 48?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9745793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*r**5 - 9686*r**4 + 70262*r**3 - 117170*r**2 + 62468*r - 5840 = 0. What is r?\nAnswer: -292, 2\/17, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43 by 290987.\nAnswer: 43\/290987","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(190)*-3 + sqrt(190) + sqrt(190)) - sqrt(190))\/(sqrt(10) - (sqrt(10) - (sqrt(810) - sqrt(10)))*-1))**2.\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1177 + 1 + -8 + 1?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.783 - 0.5218. What is w rounded to two decimal places?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i - 19. Let a be u(12). Suppose 0 = 19*g - a*g - 12. Solve 6 = -4*v - g for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -495\/7?\nAnswer: -495\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b*f*h**3 + 386*b*f*h - 167*b*h**4 - 138*b*h**2 - b + 1855*f*h**3 wrt h?\nAnswer: 6*b*f - 4008*b*h + 11130*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*c + 45*c - 67*c + 14*c - 1334)*(5*c**2 + 5*c - 5*c) to the form h*c**2 + b + o*c**3 + u*c and give o.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 62257.5 less than 54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 501 - 490. Let a be (-40)\/(-12)*12\/10. Suppose 4*j - 3*j = 0, 5*t = a*j + 20. Calculate the remainder when f is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 80*p**2 - 75*p - 486. Calculate b(81).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 302086246+-0.04\nAnswer: 302086245.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -22951.6 and -0.5.\nAnswer: -22952.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w**4 - 1709056*w**3 - 10823660*w**2 - 17089832*w - 4557280 = 0 for w.\nAnswer: -142415, -4, -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**2*y**3 - 2*m**2*y**2 + 2*m**2*y + 22639009*m*y**3 + 854*m*y**2 - 3*y**3 + 153854 wrt y?\nAnswer: 6*m**2 + 135834054*m - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**2 + 139*l + 104. Determine v(-7).\nAnswer: -722","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, b: 3, l: 3, q: 1, t: 2, g: 4}. Give prob of sequence qlhg.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 4 + -3 - 2\/1. Let x be (n + 17)\/(4 - 3). Solve x = -y - 4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 113020894?\nAnswer: 3\/113020894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 22 = 147. Suppose 8*v + k*v - 651 = 0. Calculate the greatest common factor of 31 and v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 - 4*k**2 + 3*k**2)*(-k**2 - k**2 + 4*k**2) - 216 + 216 - 147*k**4.\nAnswer: -149*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -17996.78 - -208225?\nAnswer: 190228.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*x = -31, -2*r + 5*x - 1 = -6*r. Suppose -r = u - 7. Let o be 7\/(46\/24 - 12\/16). Solve -4*v - u*p - 4 = o, 0 = 3*v + 4*p + 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q - 19*q**3 - 3*q + 2*q - 77*q**3 + 7*q**3 in the form s*q**2 + j*q**3 + x + u*q and give j.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 920.0913 millilitres in litres?\nAnswer: 0.9200913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s - 19916 = -7484. What are the prime factors of s?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, q: 3, x: 6, u: 2}. What is prob of picking 1 u, 1 x, and 2 q?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/67 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 101\/8 + -51\/4. What is the nearest to -1\/2 in -1\/9, 4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274477.\nAnswer: 7, 113, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -20414 rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1)*(u*u**(-17)*u)\/u assuming u is positive.\nAnswer: u**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/2250 and 173\/97650?\nAnswer: 488250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*c**2 - 21*c**3 - 13 - 8*c**3 + 6 - 28*c**2.\nAnswer: -29*c**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 174306.1487 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3366 divided by 66?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 8*u**2 - u - 6. Let x be d(12). Suppose -x - 216 = -5*q. What is the greatest common divisor of 27 and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -4. Suppose -k + 16 - 4 = u. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 8*n - 9. Let x be 1 + 2 + (10 + -6 - 0). What is y(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/(-150))\/((10\/(-60))\/(3\/2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -108234*h - 115146*h + 207986*h - 14032 wrt h?\nAnswer: -15394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -7*j**4\/24 - 16*j**3 - 49*j**2 + 1. Let s be k(-14). What is the highest common divisor of 29 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -668 and -153.\nAnswer: 102204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.353 times 0.2\nAnswer: -0.0706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -381 + (5 - 117\/9). Let k = c + 393. Which is bigger: k or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1363, -4, -5, 2, 5 in decreasing order.\nAnswer: 1363, 5, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 987480 and 15660?\nAnswer: 85910760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*c - 37259 - 33559 = 0. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1753.24 to the nearest ten.\nAnswer: -1750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 f when three letters picked without replacement from skfxksskxsfkk.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*(x\/(x**(2\/3)\/x))\/x)\/x)**(-10)*x**(-9)\/x**(-2\/3))\/((x\/x**(-1\/4))\/(x*x*x*x\/(x\/(x\/x**(-1\/3))))*(((x\/(x**2\/x))\/x)\/x)**(1\/55)) assuming x is positive.\nAnswer: x**(-5641\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-186)\/217)\/(4\/(-3976)). Solve -l*v = -861*v + 36 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 15604, 31319, 47144, 63085, 79148, 95339, 111664?\n\"Answer: r**3 + 49*r**2 + 15561*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 710777?\nAnswer: 710777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, 88, 528, 1448, 3010, 5376, 8708?\nAnswer: 13168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1162318762 - -3?\nAnswer: 1162318765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60351456?\nAnswer: 2, 3, 11, 67, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -217*s**3*t**4 + 106*s**3 - 3*s**2*t**4 + 3*s wrt t?\nAnswer: -868*s**3*t**3 - 12*s**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1513782, -1513788, -1513794, -1513800?\n\"Answer: -6*u - 1513776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1609748 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*c = 6, 5*c - 9 = -4*h + 18. Let g = 944 + -642. Suppose 0 = h*v - 79 - g. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 307751.84 rounded to the nearest ten thousand?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/3 and 37\/41?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/7 of a week?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97904 by 24476.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 9*s - 7. Let b be d(-7). Suppose 3*w - 2*a = -b - 238, 2*w + 161 = -a. Let k = -53 - w. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 25*l + 1512. Let f be t(-60). Solve -9 = 3*c + 5*w + 2, 2*w + f = -5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 83516.9 to the nearest one thousand.\nAnswer: 84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 40 = 4*f, -20 + 56 = -4*r + 3*f. Let p be 4324\/10570 - r\/(-42). Let t = p - 10\/151. Is 1 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 6. Find the third derivative of -19*b**3 - b**5 - 2*b**5 - 9*b**2 + 19*b**n wrt b.\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z - 2. Let t be 63\/(-13) + 6\/(-39). What is the units digit of n(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 6*o**2 + 5*o. Let i be b(5). Let s = i + 0. Let t be 14\/10 - (-1)\/(-1). Is t greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*j + 12*j + 2*j)*(-133 + 0 + 8)*(-1 - 2 + 4).\nAnswer: -2750*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - (-12 + -14 + -92).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3484 and 536.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*h**2*u + 37*h**2 + 6*h*u + 4*h - 283*u + 2 wrt h.\nAnswer: -30*h*u + 74*h + 6*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 23*u**2 - 59*u - 27. What is q(20)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -70\/999 and -133\/7711362?\nAnswer: 285320394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -351415 - 4?\nAnswer: -351423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (74 - 1) + (602 - 642)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 2*h**3\/3 + h**2\/2 + 4*h. Let a be s(1). Find the third derivative of 23*y**5 + 0*y**2 - 2*y**2 - 29*y**a wrt y.\nAnswer: -360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259*h**3 + 291*h**3 + 33*h + 299*h**3 - 851*h**3.\nAnswer: -2*h**3 + 33*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/1 + 69\/3. Let n = 183 + -144. Let q = n + -38. Which is smaller: q or c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k - k)*(111 + 634 + 696*k - 695*k).\nAnswer: -k**2 - 745*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6189*i + 6185*i - 18540*i + 6188*i.\nAnswer: 22*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2387 is divided by 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 55 + 101 + 5*i + 131 - 2*i + 0*i. Let t(q) = 2*q**2. What is t(l(y))?\nAnswer: 18*y**2 + 3444*y + 164738","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, i: 6, c: 1}. What is prob of picking 1 i and 2 f?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 169863 + -169896. Let y = 1.3 + -0.3. Which is smaller: i or y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -394.8 rounded to the nearest 10?\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*y**4 - 40*y - 6 - 43*y**4 - 2 + 38*y + 4 in the form l + m*y + v*y**4 + r*y**2 + w*y**3 and give v.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 l when three letters picked without replacement from rllrl.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7157 - 7157. Factor -9\/4*h + 0*h**4 + d - 6*h**2 - 9\/2*h**3 + 3\/4*h**5.\nAnswer: 3*h*(h - 3)*(h + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12330 and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 11:56 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -75 - (75 - (-17 - -208)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + j**2 + 3*j + 3. Let y be h(3). Let g be (-240)\/2610*y\/8. Which is smaller: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 115 - 65 = 0. Let n = -0.08 + -27.92. Let u = n + 28.1. Which is the closest to 0.1? (a) u (b) g (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4*b - 540003, -b - 2*t = -6*t + 135022. Let x = 3 + -3. Let n be 1 + (b - x) + 1. Round n to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1ca + -19?\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -699358097*r**3 + 866*r - 193818 wrt r.\nAnswer: -4196148582*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -59696\nAnswer: -298480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 47179246 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by -118\nAnswer: -35\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135940*w**3 - 71484*w**3 - 67692*w**3.\nAnswer: -3236*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 5*z - 8*z)*(z - 1 + 1)*(-1964 + 461 + 486 - 1047).\nAnswer: 6192*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28.92 + 31.9. Let f = h - -0.02. Let n = 1 + -1.5. What is the third biggest value in 1, f, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -844*a + 88. Let y(d) = -169*d + 17. Let g(s) = 2*q(s) - 11*y(s). Let j be g(1). What is the greatest common factor of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 5*d - 45 = 0, 25 = 10*q - 9*q + 4*d for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4993 times 5?\nAnswer: -24965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from xxxxxxjx?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 1515*t = 1510*t - 54, 4*k = -5*t + 37 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 9*t - 3. Give q(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2109284 bigger than -58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -219, -26, 6 in increasing order.\nAnswer: -219, -26, -5, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36.54 - 0.46. Let z = 36.9999837 + y. Round z to 6 dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 229161 or 229162?\nAnswer: 229162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*((1 - 6 + 2)*(2*i - 3*i + 0*i) + i + i - i).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 2\/5 (c) -1\/161 (d) 23 (e) -0.3 (f) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 3 + 5\/2*f**2 - 2*f. Let t be o(2). Solve -4*k = t + 12 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -2)\/(2 - 18). Let s(r) = -r**2 + 5*r + 49. Let t be s(10). Which is bigger: a or t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24976 divided by 3025\nAnswer: 24976\/3025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 4 = -3*k. Let g be (-12)\/k*36\/8. Let v(l) = -2*l + 1. What is the remainder when v(g) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = r - 1, 4*r - 4*o - 3 = 1. Suppose -b + r + 3 = 0. Suppose 0 = -b*c + 2*n + 134, -n - 111 = -3*c + 4*n. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/3 + 1\/((-9)\/17). Which is smaller: -3 or x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d2ac9 (base 14) to base 9.\nAnswer: -1862242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2358067453?\nAnswer: 7, 1481, 227459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/25)\/(2232\/(-465)).\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -154, 2, 0 in ascending order.\nAnswer: -154, -3, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -16*c + 19. Let z(y) = 17*y - 19. Let s(o) = -5*v(o) - 6*z(o). Differentiate s(m) with respect to m.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - u = -116, z - 2*z + 4*u + 116 = 0. Suppose -j - 110 = -z. What is the remainder when 70 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = o - h - 20, -3*h + 15 = 5*o. Solve 2 = 3*d + 2*d + 3*b, o = 3*d + 3*b for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 4*w**2 - 23*w + 21. What is the hundreds digit of k(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**3 + 34*w**2 + 336*w - 14. What is l(24)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + -73\/2. Let d(j) be the third derivative of -1\/60*j**5 - w*j**3 - 1\/4*j**4 + 0 - 3*j**2 + 0*j. Calculate d(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5715.04 tonnes in nanograms?\nAnswer: 5715040000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-10))\/(9\/(270\/12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98651945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g**2 - 8*g**2 - 5*g**2)*(-g + g + 2*g**2)*(0*g + g - 3*g).\nAnswer: 80*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-15) - 4\/6. Sort w, -3, 3.\nAnswer: -3, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 106387 - 61487. Round c to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(5*(sqrt(1008) + 0) + (5*(sqrt(1008) + 0) - sqrt(1008))))**2.\nAnswer: 326592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 157550 by 1370.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) -1\/5 (c) 0.5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/5)*l*l*l*l*l*l*l**(-1\/6)*l**(5\/8)*l**(-1\/2))**(-48) assuming l is positive.\nAnswer: l**(-1526\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + z**2 + z + 1. Let m be d(-1). Suppose l - 5*l - 4 = m. Calculate the remainder when ((-152)\/12)\/(l\/3) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4194 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6808*d**2 + 8483*d.\nAnswer: -13616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -83.8 and -0.050234.\nAnswer: -83.850234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 238358\/3 or 79453?\nAnswer: 238358\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*y - 45594, 83*y - 60769 = -4*t + 88*y. What is the ten thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27490122 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 0\/(-1) + 2 + 12 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffo when three letters picked without replacement from offooof.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.079 less than -29.527?\nAnswer: -29.448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 748*k + 2241. Determine b(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/28 (b) 2\/37 (c) 0.4 (d) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -6*h - 1. Let c(p) = -5*p. Let u(x) = 3*c(x) - 2*v(x). Let f be 9 + (-6 - 0)\/2. Suppose 5*a = f + 4. Determine u(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(6\/7)*s**(3\/22))\/(s**(2\/11)\/s*s*s\/((s*s*s**(-6)*s)\/s)*s*s) assuming s is positive.\nAnswer: s**(-1063\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16\/(-30))\/((-5)\/(-25)*-2). Factor -2\/3*x**2 + 0 + i*x.\nAnswer: -2*x*(x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(d - 2*d - 3*d)*(0 - d**2 + 0).\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 336 and 5468358.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 241 + 702?\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*m**3 - 3*m - 172*m**2 - 5*m**3 + 176*m**2 + 1 in the form s*m**3 + l*m**2 + h + p*m and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 570 by -114.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a**2 - a + 1. Let u be t(-2). Let c(v) = 44*v - 22*v + 2 - u*v. Let x(z) = -2*z. Calculate x(c(w)).\nAnswer: 10*w - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 1100?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**9\/3024 + t**5\/20 + 7*t**3\/6 + 5*t**2. Let q(z) be the first derivative of b(z). Find the second derivative of q(m) wrt m.\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 109820\/765 + ((-16)\/9)\/(-4). Is m >= 147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 825 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 9:20 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2454877, -9819800, -22094679, -39279520, -61374329, -88379112, -120293875, -157118624?\n\"Answer: -h**3 - 2454972*h**2 + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l - 2. Let t be (-3 - (-1 - -1))\/(-1). Suppose -t*m + 13 - 100 = -5*f, -5*m = 2*f - 10. Suppose f = 4*c - 5. Determine a(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -31, -40, -43, -34, -7, 44?\n\"Answer: a**3 - 3*a**2 - 7*a - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - o = 25. Suppose 4*u - k = 22, 0 = o*u - k - 32 + 5. Suppose 7*c = 3*c + 5*i - 21, 2*c + u*i = 27. Let b(v) = -v**3 + 2*v**2 - 1. Determine b(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 57 = 8. Let i be ((-3 - -2) + 6)\/a. Put -1\/7, 0.3, 5, i in descending order.\nAnswer: 5, 0.3, -1\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 13. Let p(q) = q - 14. Let o be p(9). Let l(d) = -d - 12. Let g(t) = o*b(t) - 6*l(t). Is g(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25\/406 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58.143 - -58. Let j = o - -0.14163. Round j to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1365399 a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10 + (-74)\/7 - (-2668)\/14. Solve -l = 9*u - 181 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - 0.3. Let y = x + -0.8. Let d be 9\/(-3) - 28\/(-10). What is the second smallest value in 1\/9, y, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4154 + -2?\nAnswer: 4152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27*16\/96)\/3*(-590)\/(-15)*-2.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -528 - -523. Let u(o) = 3*o**3 - 9*o**2 + 2. Let k(d) = d**3 - 5*d**2 + 1. Calculate l*k(p) + 3*u(p).\nAnswer: 4*p**3 - 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**2\/19 + 1640*d\/19 - 159782\/19 = 0.\nAnswer: 113, 707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/117*-3*-30.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -142734, -285454, -428174, -570894, -713614?\n\"Answer: -142720*r - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 e, and 1 r when three letters picked without replacement from rvvpvvvpevppevvvev?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 149*y**2 - 246*y - 28. What is the remainder when r(3) is divided by 97?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 6:14 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(38)\/sqrt(2)*4 - ((sqrt(19) - (sqrt(171) - (1 + sqrt(171)))) + sqrt(114)\/(sqrt(6)*3)))**2.\nAnswer: -136*sqrt(19)\/3 + 87865\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 7*s**2 - 8*s + 5. Let f be k(8). Suppose -3*c + 10 = -4*b, 3*b - 8 = -f*c + 28. Suppose 0 = 3*m - c*m + 243. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 2. Let g be m(8). Let p(u) = 3*u**2 + 2*u + 3. Let a be 3 - 7 - 1*-1. Let k be p(a). Solve -2*x - k = -5*d, -d - 2*d = x - g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30.4179 - 34.257. Round n to one decimal place.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 13 - 18\/(-6). Let x = 13 - p. Put x, 13, -1 in descending order.\nAnswer: 13, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8607, 0.313, -25\/4?\nAnswer: 8607","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 9\/5*g + 2 + 1\/15*g**3 - 3\/5*g**2. Let b(j) = 0. What is j?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-16)*6\/(-2)*34\/(-153)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/10 - (21 - (10 + 4199\/65))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*m + 95. Let c = -9 + m. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20628 is divided by 80?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-28) - (-120)\/32.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -473 - -326. Let g be ((-429)\/7)\/(-3) - (-63)\/h. Suppose 2*w - 160 = -s - s, -4*s + 320 = -4*w. Calculate the highest common divisor of g and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2138 - 2139. Which is the nearest to -2? (a) f (b) 1\/3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 4*y + 8. Give s(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 29*t**2 - 4*t. Let d be u(6). Round d to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2495 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + (25 - -24) + (-4 + -15 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -73210aa?\nAnswer: 73210a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -328 and 24414.\nAnswer: 24086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -11.8. Let q = r - -2.2. Let d = q + -1. Which is the second biggest value? (a) -4 (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5908 is divided by 497?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 + ((-14162)\/(-1022) - 18\/21)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 + 0*k**2 - 2*k**2)*(0*k + 3*k - k)*(-1 - 3 + 0) + 6*k**3 + 4 - 4.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 496 is divided by 164.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3*q**2 - 4)*(12*q**2 + 31*q**2 + 0*q**2 - q**2 - q**2 + 3*q**2 + (-q - 3*q + 3*q)*(-q - q + q) - q**2 + 3*q**2 + 0*q**2 + 4 - 4 + q**2).\nAnswer: 144*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -9*a**2 + 13*a - 30. Let i(k) = -2*k**2 + k - 2. Let u(t) = 15*i(t) - 3*l(t). Factor u(b).\nAnswer: -3*(b - 2)*(b + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 285525*n**4 + 387*n**2 - 984*n + 2 wrt n?\nAnswer: 6852600*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -424 + 724. Suppose -12*v + 16*v - l = 0. Let j = v + 7. What are the prime factors of j?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3)*(-25 + 47 + -25). Suppose l + 10 = -o - 0*o, -13 = l - 2*o. Sort l, t, 0, -4.\nAnswer: l, -4, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 to the power of 1\/2, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from esef. Give prob of sequence fs.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 2*q - 3. Let r be g(4). Suppose -4 = b, 2*j - 80 = -2*j + r*b. Solve 2*v - 2*m = 0, -2*m = -0*v - 5*v + j for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 537, 502, 497, 534, 625?\nAnswer: 782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5896144 take away -2.6?\nAnswer: 5896146.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4890049 by -3.\nAnswer: -4890049\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 6*r**2 + 3. Is 3 a factor of b(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v**5\/2 - 36*v**4 + 75*v**3 + 182*v**2 - 765*v\/2 - 450 = 0.\nAnswer: -12\/7, -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + g = -6, -q + g + 4 = 3*q. Suppose -q*r - 2 = 4. Let z(k) = 2*k + 2*k**2 + 2 - k**2 - 3. Calculate z(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1181*q - 1170*q - 484. What is the highest common divisor of q and 3652?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1732 + 7 + -2 + (0 - 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 d when three letters picked without replacement from dfrrndssrr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 3*u**3 + 5*u**2\/2 - 3*u - 9. Let k be l(3). Let n be ((-44)\/(-66))\/(2\/k). Calculate the highest common factor of n and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, t: 6, n: 1, a: 1, z: 2, p: 4}. Give prob of picking 1 p and 1 t.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46421369 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: (21\/6)\/((-637)\/84)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1750 by -2.\nAnswer: -875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/3)\/(1\/6). Let p be x*(1 + (-2)\/(-8)). Solve p = -v + 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -202001112202 (base 3) in base 8?\nAnswer: -1403043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 3*i**2 + 2*i - 1. Let t be u(3). Solve -t*h - 1 = 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence se when two letters picked without replacement from {s: 1, l: 1, m: 1, e: 1, r: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68634357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 970560 and 181980?\nAnswer: 2911680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, -56\/3, -2255, 0.1, -2.\nAnswer: -2255, -56\/3, -3, -2, 0.1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12942918*r**2 - 73*r + 34140 wrt r.\nAnswer: -25885836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from esesu. What is prob of picking 1 e, 2 u, and 1 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y + 9 = 25*y. Solve -2148*p**5 - 2*p**3 + 3*p**2 + 2151*p**5 - y*p**4 - p**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 0*d - 2*d + 21*d - 14*d + 2*d. Let h(z) = 319*z**2. Give o(h(s)).\nAnswer: 2233*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3696?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lppppppppxp. What is prob of picking 4 p?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-102)\/38 + 3)\/((-32)\/((-736)\/207))?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-14))\/(1\/38 - 698395\/(-30590)).\nAnswer: -1\/160","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 3:03 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5291514.\nAnswer: 2, 3, 29, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 5 = m + 4, -13 = -5*t + 151*m - 154*m for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -812*u**2. Let r(x) = -5*x**2. Calculate r(s(z)).\nAnswer: -3296720*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -4 - (2 + (-3 - -16) + (-476 - -528)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -1\/3*f**3 - 1\/2*f**2 + 0 - 3\/4*f**4 + 46*f. Give l(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-3))\/((-4)\/6)*3. Is (1 + -2)*1\/q*-1059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 0 + -9 + (-56 - -125).\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c - 45, 6*k = 5*k - 754*c + 752*c - 92 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -4) + (0 - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -44244 and 5.\nAnswer: -221220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5431 divided by -1117.\nAnswer: 5431\/1117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 8:39 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 3*x + 2, 4*x = 3*r + x. Suppose 6*v + 1 = 3*v - 2*j, v = r*j + 5. Let n = 3.1 + -0.1. Which is the smallest value? (a) 1\/8 (b) v (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 4 + (-3)\/(-1) - (90 + -4222)?\nAnswer: 8278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -7, -57, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + 102*c = 145698 + 87502. What is the smallest common multiple of 2650 and c?\nAnswer: 2650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.39 - 0.89. Let a = -0.49999509 - s. Round a to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, l: 1, h: 2}. Give prob of sequence hh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 24, 36, 48, 60, 72?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 5 = -4*g, 4*g - 14*g + t = -4*g - g - 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1541*s**3 + 787*s**3 - 84*s**3 + 2 - 1390*s**3 - 4 to a*s + t*s**3 + b*s**2 + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 874?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 7:56 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -232*q**3 + 5342*q**2 - 1456*q.\nAnswer: -2*q*(4*q - 91)*(29*q - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(12) - (-1*sqrt(192) + sqrt(12))).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -141, -285, -433, -585, -741?\n\"Answer: -2*l**2 - 138*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 3799\nAnswer: -1519.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 121000011010?\nAnswer: -121000011020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 0*u**2 - 4*u**2 + 5*u**2. Let j(y) = -107*y**2 - 14*y**2 - 222*y**2 - 91*y + 91*y. What is f(j(z))?\nAnswer: 117649*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6700*c**2 + 6683*c**2 - 13364*c**2.\nAnswer: 19*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3774*n**2 - 360 + 132 + 228.\nAnswer: -3774*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s - 294*f + 295*f + 44 = 0, -5*s - 3*f = -9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 1 + 4 = 0. Let o = c + 8. Find the third derivative of -a**2 - 3*a**o - 2*a**3 + 3*a**3 wrt a.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 7. Suppose 0 = m*o - 5 - 19. Calculate the remainder when (15980\/1974 - 4\/42) + 2 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12351000 rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*s + 25. Suppose -s*d = -2583 - 1852. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.04, 0.4, -0.01507, 19?\nAnswer: -0.01507","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 + (-28 - -31 - -50) + 24 + -1.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6069830509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -512 + 745. Let k = -217 + r. Solve w - 5*q = 1 - 23, -4*q + k = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (153 + 4 - 3)*(3*c + 2*c - 4*c).\nAnswer: 154*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2\/5 + 804*x.\nAnswer: -4*x*(x - 1005)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -56*o - 151. Suppose -4*t + n - 25 = t, -5*t - 20 = -2*n. What are the prime factors of j(t)?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 at most 2\/151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 154437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 565*g - 387 + 178 + 3599 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 3*y + 585. List the prime factors of y.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 797971441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/6*(-51)\/(-85). Let f(b) = 13*b - 61. Let l be f(3). What is the smallest value in 3, l, v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of 7*n**4\/24 - n**3\/3 - n**2 + 45. Suppose 5*j = 3*s + 52, 3*s - 9 = -2*j + 16. Is r(j) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q + 7. Let o(j) = -23*j - 94. Calculate 4*c(u) + o(u).\nAnswer: -35*u - 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -375, 3.\nAnswer: -375, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -12*y + 74. Give b(18).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 1:01 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*g - 26*g + 11*g. Suppose g = 22*r + 3*r - 16550. List the prime factors of r.\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 - -866. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7 - 6*v + 6*v - 5*v wrt v.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -271, -78, 127, 350, 597?\n\"Answer: o**3 + 186*o - 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1\/4, -248651 in descending order.\nAnswer: 2, 1\/4, -248651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 8, 13.\nAnswer: 0.1, 8, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -123ca?\nAnswer: 123ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 2 - 1)\/(18 + -16). Let i be (-2)\/(-1)*(-1)\/(-1). Let p be -2 + -3*i\/(-3). Solve p*c + 3*c = h for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -38, -392, -1388, -3356, -6626, -11528, -18392?\n\"Answer: -55*y**3 + 9*y**2 + 4*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gghhgggpgxgggg. Give prob of sequence xh.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.164352 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 1304?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2331 and 16576.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 591178 = -10*d - v, 4*d - 5*v - 236477 = 0. What is the thousands digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 100\/24 - 2\/12. Let p = 2\/21 + 1\/14. What is the biggest value in -2\/13, p, s, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**2 + 5*b + 5. Let g(l) = l**2 + 2*l + 2. Suppose 0 = 5*z - 4*n + 30, -z + 21 = z + 5*n. Let f = z - 3. What is f*g(t) + 2*j(t)?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - (-6 + -1)) + 1 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.48465508 rounded to four decimal places?\nAnswer: -0.4847","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7311357 centimeters in nanometers?\nAnswer: 7311357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 5*m - 32 = 0, 2*m = -4420*b + 4410*b + 36 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -1183*x**4\/2 - 1329*x**2 - 2332. Find the second derivative of i(q) wrt q.\nAnswer: -14196*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*-1*sqrt(256)*4)\/((sqrt(96)\/sqrt(2)*-2)\/(sqrt(30)\/(sqrt(10)\/sqrt(2)))).\nAnswer: -40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1039, -1032, -1021, -1006, -987, -964?\n\"Answer: 2*k**2 + k - 1042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 3. Let q be (l - 4)*0\/2. Suppose -111 = -4*o + 3*y, q*y - 48 = -2*o + 4*y. Solve o = 5*x + 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 32\/8 + (3\/(-1))\/(-3). Suppose 0 = -o*l - 173 + 103. What is the second smallest value in -4, l, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/23 (b) 120 (c) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 341721.\nAnswer: 3, 43, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -129*u + 1170. Give x(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 1 - 3 = i, 5*v = 3*i + 7. Suppose 5*l + 1800 + 1725 = -5*f, -2*l = 6. Let g be (-2 - 0)\/(18\/f). Calculate the highest common factor of i and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**2 - 412. Let m(i) = -2*i**2 - 5521*i + 2760*i + 2761*i. What is u(m(w))?\nAnswer: -8*w**4 - 412","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-525)\/(-35) + 8\/(-2) + -3. Put 21, d, -0.08 in descending order.\nAnswer: 21, d, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 0*a**2 + 1\/2*a**5 + 0 - a + 1\/6*a**6 + 0*a**3 + 5\/12*a**4. Let q(b) = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 11 = -5*w + 3, 0 = -3*u + 3*w. Let m be 293\/5 + (-2)\/(-5). Suppose -m*z = -51*z - 40. What is the greatest common divisor of u and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -q**5\/60 - 5*q**4\/24 + 7*q**3\/6 + 8*q**2. Let g be w(-6). What is the units digit of g*130\/(25\/5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -44.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(2*c - c + 0*c) + (-3 + 5 - 1)*(-5*c - c + 3*c) - 2*c + 0 + 2 + 0 + (2 + 3 - 6)*(4*c - 3*c - 2*c) - 13*c + 0*c + 3*c + 0*c + 2*c + 0*c.\nAnswer: -13*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 65 + (-347 - -202)\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1932 + -3304. Let q = z - -2249. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 355172*x**5 - 91*x**4 + 24*x**2 + 175254*x?\nAnswer: 21310320*x**2 - 2184*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -85 - -31. Let u = z + 53.5. Let k be (-32)\/108*(-9)\/12. What is the third smallest value in u, k, 1\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 + (-22 - (23 + -18)) + 18\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 3, c: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8296211 (base 10) to base 16.\nAnswer: 7e9713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3*(sqrt(1300) + (sqrt(1300) - 2*sqrt(1300))) - sqrt(208)\/(sqrt(400) - (-1*sqrt(400) + sqrt(400)))) + -2)**2.\nAnswer: 12*sqrt(13)\/5 + 217\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-3)*a*a\/(a*a\/(a*a**(1\/2)*a)))**(-42)*(a*a**(-2\/15)*a)\/((a**(-4)\/a)\/a)*(a\/a**(1\/4))**(-4\/29) assuming a is positive.\nAnswer: a**(-5758\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 0)\/(2\/10). Suppose r*k + 2*h - 25 = 0, -11 - 4 = -3*k + 2*h. Calculate the lowest common multiple of 196\/(-56) + 5\/(20\/22) and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**2\/5 + 611*j\/5 - 8040 = 0.\nAnswer: 75, 536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 2*n. Let f(b) = b**2 + 8. Let t be f(n). Suppose 0 = 13*a - 17*a + 96. Calculate the highest common factor of a and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001144 rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10451672683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5575 - -12216. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17174927.\nAnswer: 7, 11, 223051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.69518 - 0.13018. Round y to one dp.\nAnswer: 12.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-34)\/6 + 2\/3. Let k = 159 + -109. Let d = -44 + k. Sort p, 0.3, d in increasing order.\nAnswer: p, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a. Let c = 10 + -11. Let r(o) = -o**3 - o**2 + 3. Let q(l) = c*d(l) + r(l). What is the units digit of q(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -440033 (base 10) to base 15.\nAnswer: -8a5a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1924 + 1937. What is the remainder when 104 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 255 = 5*a - 319, -4*a = 5*n - 454. What is the greatest common divisor of a and 11890?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 403 = 458. Solve -5*c + 8 - m = 2*l, 0 = 4*c - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12047 is divided by 4015?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 - 52 = 9*u. Suppose 0 = 4*y + 3*k - 52, 5*k - 3*k = -u*y + 48. Differentiate -y - 41*q - 9 + 8*q with respect to q.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 10:29 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 + 963*h - 3804.\nAnswer: -3*(h - 317)*(h - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/4*(6 + -8). Let p be (o\/3)\/((20\/(-36))\/5). Suppose -p*q - 10 = -13. Which is the nearest to q? (a) 3 (b) 0.3 (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -69\/2*n**4 - 9\/2*n**5 - 66*n**3 + 0*n - 30*n**2 + 0 = 0.\nAnswer: -5, -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -278*p + 34*p - 549*p.\nAnswer: -793*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 11 + 22*b - 30.\nAnswer: 22*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 648 = -3*x + 4*x, -5*x + 2*z = -3240. Suppose -13*p - x = -5*p. What is the smallest common multiple of 14 and 3 + 2\/(-9) + (-747)\/p?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202222022121 (base 3) to base 9.\nAnswer: -688277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17604*r**2 + 335376*r wrt r?\nAnswer: -35208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13097?\nAnswer: 7, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-399)\/28)\/(-1 + 141\/144). Suppose -144 = 2*p - z. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-9 + 108\/9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -354*v - 1. Let j be p(-1). Let a = -2123\/6 + j. What is the common denominator of a and -23\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 61323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-180)\/300)\/(((-12)\/150)\/((-4)\/15))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/12*(-7)\/(-6636)*-8*9?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 15 = 59. Suppose 291*l + 21 = 298*l. Does l = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30218.2 + -30218. Sort -3, t, 2\/5, 0.0228, -5.\nAnswer: -5, -3, 0.0228, t, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -9256*a - 205. Is y(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362 is divided by 20148\/161 - 5\/35.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*x, 0 = -2*r - x + 80 + 43. Let t = 1589 - 1528. Are r and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156294.\nAnswer: 2, 3, 19, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**2 + 2 - 2*n**3 - 5*n**2 + 6*n**2 to t*n**2 + l*n + p + z*n**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w + 2. Let o(z) = -576*z**2 - 16*z - 14. Determine 8*b(i) + o(i).\nAnswer: -576*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*p = -35*p + 2145. Suppose -7*t = -4*t - p. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.5, 2\/51.\nAnswer: -1, 2\/51, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 1 (c) 0 (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/239996 and -31\/20?\nAnswer: 1199980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30681*l**2*n**2 - 32971*n**2 wrt l?\nAnswer: -61362*l*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7111 - 6995. Calculate the highest common factor of o and 4292.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 699 + -657. Calculate the highest common divisor of 154 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 17. Let w(g) = g**2 + 7*g - 8. Let u be w(-7). Let b be s(u). What is the highest common divisor of 6 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -7*u**2 - 36*u. Let r(a) be the first derivative of a**2 - 20. Determine r(w(p)).\nAnswer: -14*p**2 - 72*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5060342*x**6 - 47639893*x**2 wrt x?\nAnswer: 607241040*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7151 or 6205?\nAnswer: 7151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26*n + 0 - 2 + 29*n)*(10 - 225 + 26) in the form j*n + w and give j.\nAnswer: -567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7 and -1960.\nAnswer: -1372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-16)\/(-6))\/(-2))\/2. Let m be (-212)\/26 - 2\/(-13). Let x be 15\/(-14) - 4\/m. Which is the closest to -0.2? (a) x (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28458 divided by -459?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13807427 to the nearest integer?\nAnswer: 3716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 8:01 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 6*z**2 + z - 6. Suppose 0 = -5*n - 5*j + 52 - 12, -15 = -5*j. Does 8 divide a(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 143*a**2 + 35*a + 5. What is the units digit of u(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 + -41. What is the remainder when 25 is divided by -3 - (h - 0 - 11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhhhh. What is prob of sequence hhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 789453050 by -5.\nAnswer: -157890610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y + 14. Let j be w(11). Let v(x) = -x. Let b be v(0). Let a = j - b. Let m(f) = f**2 - 4*f + 4. Determine m(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1133?\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - g + 0*g)*(17*g**2 - 21*g**2 - g + 2*g).\nAnswer: 16*g**3 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 22 = -4*p, -6*g + p + 77 = 94 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 15 = 2*q. Let k = 4 + -8. Let t be 2*((-1)\/(-2) + 3). Put k, q, t in ascending order.\nAnswer: k, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -764*d + 3810*d - 760*d - 756*d - 761*d - 766*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2 + 4)*(-1 + 1 + 2*a)*(0 + 4 - 3) + ((7 - 3 - 3)*(3 + 0 - 5) - 1 - 1 + 0)*(-13*a - 39*a + 94*a) to f + g*a and give g.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 191635252?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 4 - 5\/2*u**2 + 1\/6*u**3 - u. Let i(w) be the first derivative of d(w). What is i(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 3:23 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 6*k**3 - k**2 + k - 1. Let s be i(1). Let f(w) = -w**3 + 7*w**2 - 2*w - 12. Calculate the remainder when 53 is divided by f(s).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7616071\/250 - -152319\/5. Let r = q - 2\/125. Let y = 1 + -1.3. What is the nearest to 3\/13 in -1, r, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 36*z**2 - 5*z - 7. Suppose -3*n - 4 = -22*c + 27*c, -3*n + 12 = -3*c. Let x(b) = -18*b**2 + 2*b + 3. Calculate n*r(i) + 5*x(i).\nAnswer: -18*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/3 + 6088*n\/3 - 48832\/3.\nAnswer: 2*(n - 8)*(n + 3052)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -172, -559, -1156, -1957, -2956, -4147, -5524, -7081?\nAnswer: -8812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6984 and 15?\nAnswer: 34920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*n - 5 = -31, -n = -4*o + 38. Let r be 6\/o - (-2849)\/35. Is 82 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(39)\/sqrt(3) + 0 + -3).\nAnswer: -5*sqrt(13) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = 991 - 1013. Solve 0 + q = -2*i - 3*p, 0 = 2*i + 2*p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1859290109 plus -20.911?\nAnswer: 1859290088.089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 22*y - 18. Let a be p(21). Let l = -9 - a. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 5*u + 4. Let m be q(-6). Let z be m\/9 + (-4)\/(-18). Suppose -3*v + z*v - 20 = 0. Solve x = -2*j - 3*x + v, 0 = -2*j + 3*x + 11 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 38*r - 223. Give j(18).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7432 and -0.77.\nAnswer: 5722.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -138 + 77. Let o = b - -29. Let w = -18 - o. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.6516676 decades?\nAnswer: 0.006516676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53 + 50. Suppose -9 = -3*b + i - 4*i, -4*b - 12 = -2*i. Let k = b - f. Solve 0 = -k*l - 7 + 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, a: 1, n: 1, b: 1, e: 1}. What is prob of sequence ba?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cxxx when four letters picked without replacement from {x: 6, c: 6}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = -2*c + 6*m + 128, 0 = 4*m. Sort 1\/2, -4, c, 1\/3 in descending order.\nAnswer: c, 1\/2, 1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -19*t**2 - 268*t. Let y(n) = -2*n. What is y(h(w))?\nAnswer: 38*w**2 + 536*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 5*a - 5*j, -7*a - j + 4 = -6*a. What is the hundreds digit of (-1)\/a*(-83820)\/(-60)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 9 = -2*o + 1, 0 = 2*o - 3*z - 10. Suppose 0 = -o*h + 255 + 530. Let v = -5343 - h. Round v to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (59 - (-1 + -6 + (-1 - (2 - 13)))) + 6.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bjb when three letters picked without replacement from {b: 3, j: 1, u: 1, s: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4) + 20\/(-8). Let o(y) = -9*y**2 + 2*y + 4. Let p(k) = -8*k**2 + k + 3. Let b(a) = m*o(a) + 3*p(a). Let s = 2 - 1. Determine b(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 2655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -4800\/13931 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -115.2 * -0.1049\nAnswer: 12.08448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 6*q - 17. Let n be h(3). Is n*((-4630)\/(-3) + 8\/(-24)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1129, 6044, 18551, 42448, 81533, 139604, 220459, 327896?\n\"Answer: 633*t**3 - 2*t**2 + 490*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17.7 - -18. Let t = 10 - 15. Put 0.5, r, t in descending order.\nAnswer: 0.5, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28 - -1) + -167 + 144 + 25 + -1\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373277?\nAnswer: 283, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91 + -63. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5279221759074 minus -6?\nAnswer: -5279221759068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -533*l - 8099. Let r(f) = 47*f + 714. Let b(k) = -91*r(k) - 8*s(k). Give b(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40.218 - 0.382. Let b = a - -40.599811. What is b rounded to 5 dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116, 214, 302, 374, 424, 446, 434, 382?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 199261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/1948 and -43\/646736.\nAnswer: 646736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/8)*g**(-1\/7)*(g*g**(1\/4))**(2\/13) assuming g is positive.\nAnswer: g**(127\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -21*y**2 + 57*y - 12. Let o be b(8). Let x be (-7)\/(-1)*(o\/(-63) + -10). What is the highest common factor of x and 870?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 244 - 109. Does 27 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 10984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18101 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 289 divide 962974174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 229960581 to the nearest integer?\nAnswer: 15164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 875.1 - 769. Let h = 107 - u. Which is the second biggest value? (a) -2 (b) -0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03 - 1.03. Let r = 0.98 + v. Let x = 0.02 + r. What is the nearest to x in 4, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1053751657 to the nearest integer?\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 4*t - 0*t. Suppose o - 16 = -3*o. What is the greatest common divisor of t and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 10 - 36 = 0. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-84)\/(-15) + 9\/(-15). Suppose c*a - 13 = -3. Let j(t) = -5*t + 3. Determine j(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 4*s + 13, 4*p - 15*s + 8 = -20*s for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 177214153*r**4 - 3791918 wrt r.\nAnswer: 708856612*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -79721\/33 + 2415. Calculate the common denominator of -76\/27 and y.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(2\/19)\/i*i))\/i**(-5)*(i\/((i**(4\/7)*i)\/i)*i)\/((i\/i**4)\/i))**(3\/10) assuming i is positive.\nAnswer: i**(2259\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -14587645 divided by 2917529\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4 - 3 + v**2 + v**3 + 3 + v + 2. Let f be c(0). Suppose -37 = -3*a - 5*n, -2*n - f = -3*a - a. Let i(b) = -2*b - 5. Give i(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 1 + 1. Let c be 3*2\/(-2)*b. Calculate the least common multiple of 6 and 20\/6 + c\/9.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p + p - 3*p + 0*p - 4*p + 3*p + (2*p - 2*p - 2*p)*(3 - 2 + 0) + 3 - 3 - p.\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26467839922 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-27)\/(-1))\/(-3) - -4. Let x(k) = 3*k**2 + 5*k + 5. Let a(q) = 2*q**2 + 4*q + 4. Let g(v) = c*a(v) + 4*x(v). Let i(s) = -5*s. Give g(i(h)).\nAnswer: 50*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -503*i - 475. List the prime factors of u(-5).\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*y + 38360 - 38504 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -26829700 rounded to the nearest 1000000?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67 + -59. Is 7 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 4*h - 4*h)*(-2*h**3 + 4 - 4) - 50*h**2 + 50*h**2 - 38*h**4 + 4*h**4 - 3*h**4 + 0*h**4 + (5*h**2 - 3*h**2 - 3*h**2)*(4*h**2 + 3*h - 3*h).\nAnswer: -37*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-495 + 495 - 54*m)*(8 - 2 - 9 + 19*m) as w*m**2 + r + v*m and give w.\nAnswer: -1026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 9. Suppose -3*c = -3*i + 130 + y, -6 = 2*c. Suppose -6*m + 2*m + 64 = 0. What is the remainder when i is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i = -10*i - 9. Let x(z) = z**2 - 7*z - 12. Give x(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -23*t - 2. Let l be v(-3). Let w be ((-13534)\/707)\/((-4)\/14). Let o = w - l. Solve -i + 3*i = o for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {q: 2, e: 6, n: 10}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*x = 172. Let d = x + -83. Let h be -20*(d\/(-2) + 1). Solve 0*u - 4*u = -2*p + 16, 0 = -5*p + h for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33478630 divided by -6695726.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/4)*h**(-10))\/(h**11\/h*h*h\/(h**(-1\/9)*h*h*h)) assuming h is positive.\nAnswer: h**(-679\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-37\nAnswer: 3.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(15\/7))\/q)\/(q*q**(-40)))\/((q**17*q*q)\/q)**(-49) assuming q is positive.\nAnswer: q**(6432\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -2, -4, -11012 in descending order.\nAnswer: -2, -4, -43, -11012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60 + 100. Calculate the remainder when v is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4998 = 3*l - 117*x + 1766 - 1925, -5*x = -4*l + 232 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6912?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 20*l**3 - 16 + 32*l - 3*l**2 - 10*l**2 - 16*l**3. Let w(i) = -2*i**3 + 6*i**2 - 16*i + 8. Let u(y) = 4*p(y) + 7*w(y). Factor u(b).\nAnswer: 2*(b - 2)**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126 divided by 2\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 30 + -25013767?\nAnswer: -25013737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -57, -60, -63?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) 0.4 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**4 - 3*f**3 + 213*f - 2 wrt f.\nAnswer: -24*f**2 - 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.18, -0.8, 311, -1 in ascending order.\nAnswer: -1, -0.8, -0.18, 311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 1\/6 (c) -2\/213 (d) 4 (e) -5 (f) -2 (g) -0.0391\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 + 6684*j.\nAnswer: -4*j*(j - 1671)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2160576 by -12.\nAnswer: 180048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -122*m + 14. Let d be h(-1). Let w be 4 + -5 + (-10)\/(-2)*41. What is the highest common factor of d and w?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 195264 - 195260. Find k such that -10\/3*k**3 + 10\/3*k + 1\/3*k**2 - 1\/3*k**b + 0 = 0.\nAnswer: -10, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.1 (b) 0.06 (c) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 576\/210 - 3 - 6\/(-15). Put o, -2\/17, -0.3, 48 in descending order.\nAnswer: 48, o, -2\/17, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 6*o + 9. What is the remainder when d(5) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -518.000400032 + 415.0733080218. Let g = -0.0729006898 + o. Let n = g - -103. Round n to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 379464, 2 in descending order.\nAnswer: 379464, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 4*m**2 + 4*m - 2. Let l be c(2). Let x be l\/(-5) + 3*4\/(-30). Solve -z + 6*z = x for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 301*v**3 + 316*v.\nAnswer: 1806*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2639 and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + 0.1. Let x = -37.36 + 34.3. Let w = x - -0.06. What is the second biggest value in -2\/13, w, t?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gzpppgpzdggzdzg. Give prob of picking 4 p.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 v when two letters picked without replacement from {v: 1, y: 11}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-381024)\/(-867510) - 5\/(150\/12).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 7*w + 4. Let c(v) = -v + 3*v + 8*v + 6 + 0*v. Let n be 1\/2 - (-11)\/2. Suppose -g - 1 = -n. Calculate g*c(u) - 7*s(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**2 + 22*z + 23. Let b be q(-6). Let p(o) = -20*o + 1. What is p(b)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73607*c = 73389*c - 872 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*n**2 + 276*n - 276*n)*(4*n - 6*n + 4*n) to the form r*n**2 + g + y*n + c*n**3 and give c.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3455a + 3f?\nAnswer: -3451b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeuefeuff. What is prob of sequence uf?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4780725979\/5688 - 2521480\/3. What is the common denominator of 83\/22 and o?\nAnswer: 62568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**3 - 401363604*o + 401363604*o.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-11 - -11) + (-1 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vgq when three letters picked without replacement from qwgqggvvygwwy?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 1.1592.\nAnswer: 0.11592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*4*(-5 + sqrt(45)).\nAnswer: -36*sqrt(5) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 39, 52, 69, 90?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*sqrt(104) + sqrt(104))\/(sqrt(800)*-4 + sqrt(800)) + 5.\nAnswer: -7*sqrt(13)\/30 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -18719, -18721, -18723, -18725, -18727, -18729?\n\"Answer: -2*u - 18717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 6. Suppose -4*t - 4 + 12 = n. Factor -7 - 2*h - h**t - 7*h + h.\nAnswer: -(h + 1)*(h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*-1*3 + sqrt(65))\/(sqrt(245)*2).\nAnswer: -sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1849 and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(1\/38)*v)\/v**(-27) assuming v is positive.\nAnswer: v**(1103\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -3*l + l + 4*r, 4*r + 275 = 5*l. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 50 = 2*r - 5*r, 0 = 5*r + h + 45. Let o be 0 + r\/25 + (-435)\/(-25). Solve -2*q + 23 - o = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 223.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 410.999445 + -411. What is x rounded to five decimal places?\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 26.6?\nAnswer: 26.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 43aaa0 (base 12) to base 9\nAnswer: 2020453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -415 + 614. Find the third derivative of 2*m**4 + 12*m**2 - s*m**6 + 195*m**6 + 41*m**2 wrt m.\nAnswer: -480*m**3 + 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1492397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2050263 (base 7) in base 16?\nAnswer: 3c696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 5. Suppose 5*w = g + 27, j*w + 3*g = 4*w - 15. Calculate the least common multiple of w and (0 - -5)\/((-1)\/(-4)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 6. Suppose 0 = m + g - 1, -4*g = m - 0*m + 11. Suppose 3*d - 18 = -0*d + 4*c, -3*c - m = 2*d. Is d bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*c**2 - 53*c + 53*c - 59*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -24*d**2 + 22*d - 54. Calculate z(2).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 138254*(-1)\/3*(12 + (-180)\/8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 2*r**2 + 0*r + 13 + r**4 - 8\/3*r**3. Factor p(v).\nAnswer: 4*v*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 25. Suppose -4*l + 0*l + y + 12 = 0, -u = -5*l - 2*y. Suppose 6*b = -273 + 315. Calculate the remainder when b is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32630\/17 <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -11. Suppose c = -2*l + 6 - 0. Suppose -2*g + 164 = l*g - 4*n, -g = -n - 33. What is the remainder when g is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + 2*r + 46, 0 = 31*d - r - 65 - 277 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 33765?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/173500 and -37\/100?\nAnswer: 173500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1012862473, -1012862475, -1012862477, -1012862479, -1012862481?\n\"Answer: -2*k - 1012862471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 3*p - 54, 5*t - 4*p - 28 = 71. Calculate the highest common divisor of 228 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 684?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 203460 divided by -10173?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 6*p**2 + 4*p + 5. Let f be s(-4). Solve -w = 5*m - 43 + 14, 5*m = w + f for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1158383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 0, 5, 6, -4 in decreasing order.\nAnswer: 6, 5, 0, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*w - 10, -5*t = 3*w - 2*t - 12. Let z be ((-20)\/(-160)*(-4 - -10))\/(66\/16). Which is the second biggest value? (a) z (b) 0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (42\/(-1225))\/(54\/(-1260)*14)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l + 65. What is the smallest common multiple of t(-29) and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73 + 78. Let x(d) be the third derivative of 1\/21*d**3 + d**2 + 0*d + 0 + 1\/420*d**6 + 1\/70*d**o + 1\/28*d**4. Find y such that x(y) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**2 - g - 2. Let w be ((-15)\/45)\/((-2)\/(-6)). Let f be m(w). Suppose -340 = -5*p + f*q, 5*p = -2*q - 2*q + 310. What are the prime factors of p?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -235843, -471684, -707525, -943366, -1179207?\n\"Answer: -235841*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajgaj. Give prob of picking 2 j and 1 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.705926 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 1. Let k(m) = -5*m**3 + 8*m**2 - 5*m + 3. Let d(c) = -4*j(c) + k(c). Let v be d(8). Let s = 12 - v. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 + (-16)\/16 - 4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(140)\/sqrt(4))\/((sqrt(7) - sqrt(63))*-5)*3.\nAnswer: -3*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3504030362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/(-40))\/(6\/(-144)). Let -14*x + 18*x - 3*x**3 - 6*x**a - 2*x**2 + 6*x**3 + x**3 = 0. What is x?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 14. Let v = 431\/5 - 87. Sort u, 0.2, v.\nAnswer: u, v, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 0 - -4) + -2 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 345 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10100001110011101010101 (base 2) to base 14\nAnswer: 9c0377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*u + 16. Let v be 1\/3*(u + -3). Which is smaller: -1\/6 or v?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 19362, 38755, 58152, 77547, 96934, 116307, 135660, 154987?\n\"Answer: -j**3 + 8*j**2 + 19376*j - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -585.037 + 0.037. Let h = o - -587.79. Let j = h + 0.21. Which is the closest to -1? (a) 2 (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u = 283 - 343 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 6*l**2 + 5*l. Let k be b(5). Suppose k = 5*j - 4*j. Is j bigger than -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 37*b**2 - 2*b + 1. Let q be s(1). Let f(v) = v**2 + 31*v + 24. Let j be f(-31). Calculate the highest common factor of j and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -19. Suppose -17*f - 16 = -u*f. Let v(x) = -x**2 + 6*x + 3. Calculate the lowest common multiple of v(f) and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/71 (b) 0.07 (c) 14 (d) -3\/13 (e) -2 (f) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 63 = 333*g - 336*g, -106*g = -v - 399 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/16)\/((-257)\/(-18504)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 826774?\nAnswer: 2, 13, 31799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 10*w. Let r(j) = -4*j - 3. Give r(q(d)).\nAnswer: -40*d - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -41302, 1.\nAnswer: -41302, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 17*o**6\/60 + o**5\/20 + 223*o**2 - 2. Let d(l) = 782*l**3 + 68*l**2. Determine -3*d(q) + 68*s(q).\nAnswer: -34*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 1 = -5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**4\/12 - 5*f**3\/6 - 8*f**2. Let r be q(4). Let k(m) = 4*m**r - 1 - 6*m - 3*m**3 - 6*m**2 + 0*m. Determine k(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*j**2 + 42227*j + 12*j**2 - 42218*j to the form w*j**2 + y + b*j and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 r when two letters picked without replacement from {c: 2, k: 1, r: 1, i: 2, m: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 646836.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -8*h - 34. Let c be f(-6). Solve 2*r - c = 2*w, -2*w - 2*w - 4 = 2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**6 - 5859*q**3 - 805*q**2 - 4.\nAnswer: 240*q**3 - 35154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -231 (base 6) in base 11?\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.44 - -2.64. Let w = -72 + 69. Which is the biggest value? (a) 1 (b) p (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 299696 - 7?\nAnswer: 29968a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 350.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 4*u + 14, -u - 5 + 1 = -v. What is the units digit of -2 + 0 - (-3 - v)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 9:47 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 578531392.\nAnswer: 2, 557, 16229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/353142154 and 58\/96245.\nAnswer: 1765710770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/((-3)\/(-4)) - 434\/(-98). Let y = 2.6 - 2.6. Which is the second smallest value? (a) 1\/4 (b) -0.4 (c) z (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51230 (base 6) to base 14\nAnswer: 268a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -11. Let w = -1 + y. Suppose -w*g + 2*z = 3*z - 234, 4*g = 5*z + 293. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 729 - 4929 = -30*v. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 7*i - 6. Let u be j(-5). Let h be 4\/52*(-2 - u). Let l(s) = -s**2 - 4*s + 4. Let t be l(-5). Which is smaller: h or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + x + 4. Let l(r) = r**2 - 2*r - 5. Let d(o) = -o + 4. Let j be d(6). Let c(y) = j*l(y) - 3*q(y). What is t in c(t) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55590 and 14824?\nAnswer: 222360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 0.5, 6\/35, 4, -7, -2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 565*l**2 + 6*l + 7. Let u be h(3). Round u to the nearest one hundred.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 178*m**5\/15 - 184*m**4\/15 - 172*m**3\/15 + 184*m**2\/15 - 2*m\/5 = 0.\nAnswer: -1, 0, 3\/89, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (10\/520*13)\/((-2)\/(-216))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.12705 + -0.12705. Which is the second biggest value? (a) -163 (b) w (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - 2. Suppose -3*p + 2*p + 5 = 0. Let x(l) = -4*l**2 - 1. Let i(b) = -5 + 11 - 5*b**2 + 2*b**2 - 7. What is n*x(u) + p*i(u)?\nAnswer: u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -552295\/6 - -92258. Let c = a - 208. Find q, given that 5\/2*q - c*q**2 - 5\/3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 141816 by -7464.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 1)*(-323)\/9146. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 13*m - 1992. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-2\/11))\/i**(-15) assuming i is positive.\nAnswer: i**(178\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/352*20\/(4\/2).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/110526 and -23\/356430.\nAnswer: 60236670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j - 10*j + 40 = 0. Let m be -1*(-3)\/(-6)*j. Solve m*b + c = 12, -c + 0*c + 2 = -b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -83*b**6 + 81 - 32*b**2 - 171 + 88 wrt b?\nAnswer: -9960*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -0.072 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 699\/1864*86\/(-3)\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1, 4, -23 in decreasing order.\nAnswer: 8, 4, -1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, 3\/4, -434764, 0?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 6*r**2 + 5*r + 7. Let k be (-6)\/10 + (-56)\/(-10). Calculate the remainder when d(k) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + q**2)*(31*q - 4*q**2 - 31*q).\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2. Suppose -4*i - 2*t = -36, -3*t + 8*t - 27 = -3*i. Suppose -n + i = 2*n. Let v(g) = -70 + n*g**2 + 13*g**2 + 70. What is v(b(p))?\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 8. Find the second derivative of -4*r + r + 6*r - 5*r**u + r**4 wrt r.\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 2769?\nAnswer: 10\/2769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 1 + (-93 - -97)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 193*k + 6348. What is b(-33)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 4*v + 3 = 0, v = 3*v for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 416941313 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) - sqrt(1368)*-2)\/sqrt(2))**2 - (5 + (-2*sqrt(2736) - sqrt(2736)))**2.\nAnswer: -21438 + 360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a - 6. Let n(y) = 41*y - 1236. Let r be n(30). Let o(h) = -6*h - 12. Determine r*o(q) + 13*c(q).\nAnswer: -3*q - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4\/7, -0.3, -0.1, -4, 0.13, -180?\nAnswer: -180","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*p = -190*p + 371*p + 280. What is the smallest common multiple of p and 896?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -163, 13, -2 in increasing order.\nAnswer: -163, -2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 56556070 - -0.29?\nAnswer: 56556070.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 30783*q - 92346. Give k(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-3) - (-8)\/(-6). Suppose 5*a - a = 4. Suppose -4*i = 4*z - 4, -4*i - 1 - a = z. Which is smaller: i or x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -22. Let f = -77 - -85. Let h(o) = -1 + 69*o - 68*o - f. Calculate h(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-6))\/(1\/3). Let j(l) = l. Let f(w) = 4*w. Let r(t) = h*f(t) + 2*j(t). Let n(q) be the second derivative of q**3\/3 - 3*q. What is r(n(y))?\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -272, 131, 836, 1873, 3272, 5063, 7276, 9941?\n\"Answer: 5*s**3 + 121*s**2 + 5*s - 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 476773422 and 258.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21009 * 3855.\nAnswer: 80989695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**3 - 5*b**2 - 2*b + 6. Let k be f(-3). Let p be (-2 - 0) + k + (-1)\/(-1). Let r be 3*p\/(-4)*-2. What is the highest common divisor of 75 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 3*g + 2. What is the units digit of t(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174200060 to the power of 1\/3, to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -17. Suppose u*k - 8*k = -68. Is 20 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 8, b: 8, x: 2}. Give prob of picking 2 x and 1 f.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4467, 8931, 13395, 17859, 22323, 26787?\nAnswer: 31251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q - 20. Let v be u(4). Suppose v = 3*x - 28 - 2162. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19.9 - 2.9. Let x = -15 + h. Is x >= -2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) -0.1 (c) 126144 (d) 0.5 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -13)*667\/58. Let z = c - -154. Solve -2*v - z = 5*k - 4, -v + 8 = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + -15 + (-6)\/(-2). Let z be 2\/4*(-3)\/(s\/6). Let o = -20 - -22. Solve i - 5 = -o*t, -3*t = 5*i + 4 - z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00040668 rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/45, 3, -6, -2\/3 in ascending order.\nAnswer: -6, -2\/3, -2\/45, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 33\/10 of a meter?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323066 is divided by 107676.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25081023719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4, 9, 26, 47, 72, 101?\n\"Answer: 2*v**2 + 7*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -30, -6, 42, 120, 234?\nAnswer: 390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-9) - (-3)\/9. Let s(u) = -2*u**3 + 1. Let y be s(f). Suppose 4*p = 2*i + 718, 4*i = y*p + 5*i - 536. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 8*k - 2. Let m = -22 + 28. Calculate y(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n**2 - 3*n**3 + 51*n + 3*n**4 - 78 + 104 - 25 to the form k*n**4 + o + q*n + h*n**2 + w*n**3 and give q.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 4*w + 1659. Is 22 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/((-2)\/(-8)*1). Let r be 40\/12 - (-16)\/p. Solve -4*x**2 - 12*x**4 + 6*x**2 + 2*x + 10*x**4 - r*x**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (4 + -2*(sqrt(832) - -1*sqrt(832)) + -2*-1*sqrt(832) + 3)*1)**2.\nAnswer: -352*sqrt(13) + 3449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -212?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (1 - -5) + -10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140636 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(5\/(-4) + 2). Factor 10\/13*q**3 + 0 - 2\/13*q + 2\/13*q**2 + 6\/13*q**t.\nAnswer: 2*q*(q + 1)**2*(3*q - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -8*r - 7. Let q(v) be the first derivative of -81*v**2\/2 - 69*v + 1. Let s(j) = 2*q(j) - 21*z(j). What is the derivative of s(k) wrt k?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 i when two letters picked without replacement from iiiieeiiee.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7}. What is prob of picking 4 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6 and -12845.49?\nAnswer: 12851.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3643400 and 600.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -78) + -2744 + 2603\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235066.\nAnswer: 2, 13, 9041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 355.501 years to months.\nAnswer: 4266.012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 72 = 5*s. Suppose 5*i - 1971 = -3*y, -5*y = -19*i + 22*i - 1173. Calculate the greatest common divisor of s and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-3)\/2)*14\/6*255\/14?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, t: 7, x: 2}. What is prob of sequence txtu?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 16, 29, 44?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -a**4\/4 - 4*a**3\/3 + 3*a**2\/2 + 2*a + 1. Let y = 66148 + -66152. Determine n(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-14)*o**(-11) assuming o is positive.\nAnswer: o**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -35*d**3 - 45*d**2 + 200*d + 60 = 0. What is d?\nAnswer: -3, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223*b + 135553 = 234*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 3*n**4\/2 - 171*n**3\/2 + 435*n**2\/2 - 369*n\/2 - 4147. Factor k(h).\nAnswer: 3*(h - 41)*(h - 1)*(4*h - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12900 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*i - 2, 4*i - 2*v + 5 = 1. Let f be 1\/i*1\/8. Let w = -64 - -64.2. Which is the third smallest value? (a) w (b) f (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9460 and 688.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -159641.458 to the nearest ten.\nAnswer: -159640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24693 + 1106*h**3 + 24693)*(-1 + 1 + h).\nAnswer: 1106*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5097056?\nAnswer: 2, 47, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z - 19. Let v be f(-6). What is the third derivative of 23*a**2 + a**5 - 164*a**6 + 6*a**v + 7*a**2 + 168*a**6 wrt a?\nAnswer: 480*a**3 + 420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 21 = 66. Suppose q = -4*l + 66, -q + 17 + i = -l. Suppose 2*g = -4*j + 7*g + 49, 5*j = 4*g + q. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*k + 69. Let h be ((-4)\/10)\/(k\/135). Suppose h = -2*x + 10. Solve -5*y + 6*r - r = -5, -x*y + 4*r = -2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 8*l**3 + 2 - 1 - 9*l**3 + 3*l. Let y(d) = 3*d**3 + 2*d**2 - 4*d - 6. Let r be y(-1). Determine g(r).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1332 divided by -111\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3761 is divided by 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 110 in 0.2, -5, 106228\/3, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85)\/sqrt(5)*1)**2 + -1*sqrt(612) - sqrt(170)\/(sqrt(10) + sqrt(10) + sqrt(60)\/sqrt(6))*5) + 0.\nAnswer: -23*sqrt(17)\/3 + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**2 - y**2 + 7*y**2 - 12*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**5\/2 - 40*p**4 + 1107*p**3 - 5832*p**2 + 3645*p\/2 = 0 for p.\nAnswer: -45, 0, 1\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 285*m**2*w + 16*m**2 - 2*m*w + 22 wrt w.\nAnswer: 285*m**2 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -164.329126 to one dp.\nAnswer: -164.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 12*v**2 + 486*v + 127. What is m(17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 156040 and 230?\nAnswer: 3588920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1234105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -1105403?\nAnswer: 1105366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3886 = 3*i + 2*d, 4*d + 20 = 0. Let w = i + -740. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8161241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-1 + -4 + (-41 - -47)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79 + 112. What is the remainder when 129 is divided by t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-3150)*7\/(-8442)*-4608249. Let d = o - 3\/11725. What is the common denominator of (4 - 3) + 23\/18 and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -660 = -319*p - 1051 + 22974 + 1342 for p.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38 - 549*r**3 - 13 + r**5 + 56*r**2 + r**5 - 58*r**2 + r**5 wrt r?\nAnswer: 180*r**2 - 3294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1974 and 1050?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 15*k**2 + 46*k + 36. Let y be z(-18). Does 36 divide ((7 - 9)\/2)\/((-1)\/y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 7) to base 6\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21140 and 33984664?\nAnswer: 169923320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 c when four letters picked without replacement from {z: 2, c: 3}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 28. Let g = 13 + a. Is g smaller than 10\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 725050 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 12:51 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, m: 2}. What is prob of sequence umuu?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cx when two letters picked without replacement from {c: 1, u: 1, x: 3, d: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2005822 and 22?\nAnswer: 22064042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(77) - -5*sqrt(77)) + sqrt(77))*1*-5)\/(sqrt(55)\/(-3*(sqrt(5) + sqrt(40)\/sqrt(8)))))**2*2.\nAnswer: 617400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.5 - -4. Let w = 0 - s. Let h = w + 0.1. Which is the smallest value? (a) h (b) 0 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 75 = -5*l, 2*l - m + 6*m = 27. Suppose -15*x + l*x - 398 = 0. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1149 is divided by 96.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 2*u + r - 73, 0 = -3*r - 15. List the prime factors of u.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - 4*15\/(-16). What is the closest to -2 in 0.1, n, 0.4, 32?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 70 = -w. Suppose 4*n + 6 = w. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -301 + 298. Let v be -2 + (2 - c) - 3. Solve 5*d + f = -v*d - 19, 5*d + 2*f + 18 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 22*r**2 + 22*r - 40. Determine q(2).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -t**5\/120 - t**4\/12 + t**3\/36 + t**2\/2 + 1829*t. Factor l(s).\nAnswer: -(s - 1)*(s + 1)*(s + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67 + -65. Solve -h*g = k - 11, -1 = -2*k + 3*k - 2*g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.4144 to 1 decimal place.\nAnswer: -16.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(95)*2)\/sqrt(5))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 4:28 PM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27852416 and 2516?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 4*t + 8 = 0, 6*p - 11041*t = -11042*t + 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 7 - 316*b**2 + 13 + 1 + 3*b as t*b + k + l*b**2 and give l.\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-7\/11)\/s*s*s*s)**(-49)*(s**(-12\/7)\/s)**26 assuming s is positive.\nAnswer: s**(-10579\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 650 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/2 of a kilogram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 10:24 AM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*n = 21, -3*g + 3*n + 1 + 2 = 0. Suppose -2*o + 15 = -g*v, 0 = v + v - o + 9. Let s = 1 - 0. Which is the closest to s? (a) -0.5 (b) v (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -7*v**2 - 11*v**2 + 22*v**2 - 34*v**2 + 8*v**2. Let u(p) = 11*p. Give u(x(c)).\nAnswer: -242*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 1200?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9737 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 7*s**2 + 8*s + 8. Calculate u(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(7) - (1 + sqrt(252))) + (sqrt(700) - (2 + sqrt(700))) - ((sqrt(28)\/sqrt(4) + 4)*4 + -4 + sqrt(448) + 0 + sqrt(448)))**2.\nAnswer: 800*sqrt(7) + 4631","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59425*h**2 + 3133*h - 3133*h.\nAnswer: -59425*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/22254 + 267055\/155778. Find w, given that 3\/7*w**2 - 12\/7*w + 3\/7*w**3 - d = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from kxkx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - 5*l**2)*(-2*l**2 + l**2 + 0*l**2) + (l**3 - 5*l**3 + 2*l**3)*(-5*l + 3*l + 0*l).\nAnswer: 9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/87183 and -11\/6.\nAnswer: 174366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4802*u**2 + 35*u + 1 - 7*u**3 - 7*u**3 + 13*u**3 - 4807*u**2 as l + w*u**3 + b*u + h*u**2 and give b.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5056 is divided by 2400?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 - 8 = 3*s. What is the least common multiple of s and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.51 - -0.77. Let d = b - 1.48. Let x = -2 + 1. What is the third biggest value in x, 1\/7, d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (22\/3 - 2) + (-4)\/12. Suppose n*m - 35 = -5. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 21*l**2 + 21*l - 20. Let y be ((-22)\/(-5))\/((-7)\/35). Let j be z(y). Solve 3*i - 5*x - j = 18, 3 = i + 2*x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -475 + 337. Let s = h - -143. Put 2, -1, -2\/23, s in ascending order.\nAnswer: -1, -2\/23, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8 + 5 + (-6)\/(-4)*134. Suppose -h = q - 12*q. What are the prime factors of ((-354)\/q)\/(3\/(-9))?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 831407 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t - 2. Let j be z(-1). Solve 0*i + 27 = j*i + 5*n, 2*i + 2*n = 12 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 7*h**2 + 9*h. Let u be i(8). Let y(o) = 3*o**2 - 2*o - 5. Let n be y(u). Suppose -r - 2*r = -n. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 20, -7, 1, -1, 13 in decreasing order.\nAnswer: 20, 13, 4, 1, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 - 5)*(3 - 2). Suppose 3*y + 4*b + 27 = 0, -6*y + 2*b = -h*y + 14. Let u(r) = r**2 + 2*r - 4. Give u(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c. Let u(v) = -v**2 - 3174*v. Calculate u(w(p)).\nAnswer: -4*p**2 + 6348*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 4*q + 0 - 5 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -8, -3, 5, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -195*h**2 + 7*h - 12. Let l(s) = -199*s**2 + 5*s - 12. Calculate 3*j(t) - 4*l(t).\nAnswer: 211*t**2 + t + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -4*x + 8, -25 = 2*x + x - 4*u. Let w = 1734.9 + -1817. Let p = -82 - w. What is the third smallest value in 0.03, p, x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.622159*-5.\nAnswer: -3.110795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 135218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11409, 22650, 33853, 45000, 56073, 67054?\nAnswer: 77925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 7*n**2 - 1. Let c(s) = -19*s - 625. What is h(c(l))?\nAnswer: 2527*l**2 + 166250*l + 2734374","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + -3 + (-1 - (42 - 26)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/14 bigger than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**24*(v*v*(v*v\/v**(-2\/7))\/v*v)\/(v\/((v\/v**(-3\/5)*v)\/v*v))*(((v*v*v**0)\/v)\/v)**(-25)*v**6*v**(2\/3) assuming v is positive.\nAnswer: v**(1318\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of 0 + 3\/2*d**2 - 128*d. Let h(l) = -l - 10. Give 2*h(a) + 7*u(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 y, 1 c, and 1 h when four letters picked without replacement from {y: 5, c: 6, g: 3, h: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-10)*-1 - ((-18912)\/30 - 0). Calculate the greatest common factor of j and 910.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**2*f**3 + 3*c**2 + 14*c*f**2 + 162*c*f + 4908*f**2 - 37*f wrt f.\nAnswer: 6*c**2*f + 28*c + 9816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*d + 4415 = 2885 for d.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 633, 1271, 1915, 2565, 3221, 3883, 4551?\nAnswer: 5225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 43 (b) 10 (c) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, -0.4, -1, -1.22?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -p - 40 + 18, -5*p - 5*x - 10 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1546 is divided by 91?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/1140)\/(36\/720)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 138, 264, 384, 504, 630, 768, 924, 1104?\n\"Answer: q**3 - 9*q**2 + 146*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 5*o + 58, 5*z = -7*o + 9*o + 29. Let y(s) = 15*s**3 - s**2 + s + 1. Let l be y(-1). What is the tens digit of (-129)\/o + 12\/l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((i\/((i\/((i\/i**6)\/i))\/i)*i)\/i)\/i)\/(i\/i**(3\/8)))\/((i*i**0*i)\/(((i**(-1\/13)\/i)\/i)\/i)))**27 assuming i is positive.\nAnswer: i**(-32859\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1249479 and 539.\nAnswer: 8746353","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than 164379768?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53 + 76. Let n = m + -23.3. Which is the third biggest value? (a) 0.1 (b) 8 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3168 divided by 1?\nAnswer: 3168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 0)\/(2974\/11896).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7882 divided by 13.\nAnswer: 7882\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.5 + 6. Let z = t - -5. Let x = -15 - -164\/11. What is the second smallest value in 7, x, z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 15, -2*i - i = f - 15. Suppose -f*q + 60 = 4*q. Suppose -u + 65 = -t + q*t, 8 = 2*t. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51c36 (base 13) to base 11.\nAnswer: -a0555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + s + 16. Let d be o(0). Let u be d\/6*(-3)\/(-12). Let q = -0.05 - -5.05. Which is the closest to u? (a) -1\/3 (b) q (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x - 3. Let p(d) = d**3 - 9*d**2 + 6*d + 10. Let t be p(8). Let h(g) = 1. Calculate t*h(f) - s(f).\nAnswer: -2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 10. Let q be v(-14). Let f be (-4)\/(-2)*(-1)\/(-1). Sort -3, f, q in ascending order.\nAnswer: q, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1987 - 1203. Does 56 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/13? (a) 0.5 (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14919 + 17061. Calculate the greatest common factor of d and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 + 52. Suppose -3*a = 5*p + 1 + 5, 0 = a - 5*p + k. Let c(x) = -x**3 + 3*x**2 - x. Let i be c(2). What is the nearest to i in -3, 3, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -893?\nAnswer: -891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 3\/4, 3, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -112, -123, -134, -145?\n\"Answer: -11*q - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -w**6\/360 - w**5\/90 - w**4\/72 - w**2 + 1. Let f(v) be the second derivative of k(v). Factor f(l).\nAnswer: -l*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 12) to base 6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 14*x + 3. Let y(u) = -6*u - 3. Calculate j(y(z)).\nAnswer: -84*z - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -193*v**2 + 4*v + 2*v - 4*v - 40*v**2 in the form l*v**2 + g*v + r and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/36414 and 19\/2178771?\nAnswer: 13072626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 86.827 - 87. Let c = s - -0.073. What is the closest to 0 in c, 3, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 - -32. Find the common denominator of (-21)\/(-306)*(-412)\/28 and (-46)\/z*(-126)\/224.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 5, -3, 2, -972 in increasing order.\nAnswer: -972, -4, -3, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) 0.89 (c) 3 (d) 11 (e) 85 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 + -1)*(0 + 4\/(-8)). Suppose 10*i = b*i + 441. What is the greatest common divisor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 2 + (-1 - -2). Suppose 11*w = -23*w + 204. Suppose 0 = x*j - 5*f + 6, -f = -4*j - 0*f + w. Sort -3, 1, j.\nAnswer: -3, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*(-1)\/10*-5. Suppose n = -3*v + 9, -2*n - n + 15 = 3*v. Suppose -6*x = n*t - x - 35, -5*x = -20. Solve -g - 7 = d, r*g = -t*d + g - 20 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6772, 13544, 20318, 27094?\n\"Answer: k**2 + 6769*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 - 6*d + 2. Let y be v(4). Is (35428\/y)\/(70\/175) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 3\/5, 0.5, -7, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m + 63. Let q be v(-6). Suppose 15 = 3*j, 4*s + j = -3*j + 812. What is the highest common divisor of s and q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 49 = -6*r, 0 = -40*r + 39*r + 2*q - 6. Calculate the lowest common multiple of 224 and r.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 1:19 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 - -a453c?\nAnswer: a4545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 56983030 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(z) = z**2 + 7*z + 2. Let s be k(-7). Let r(a) = 5*a - 7. Let y be r(2). Sort s, y, 5 in ascending order.\nAnswer: s, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0 = 10. Let w(p) = p + 3. Let m be w(z). Let j = 1231\/6 + -206. Is m bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) -4 (c) 3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1940234 is divided by 370?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q - 24 = -224. Let o = q - 21. Suppose 4*y = -o, -3*d - 9 = -3*y - 21. Solve d*w + 6 = 5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11074, 11713, 12838, 14449?\nAnswer: 16546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 72. Is 8 a factor of b(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1)\/s*s\/(s\/s**(8\/7))*(s**24\/s*s)\/(s**15*s) assuming s is positive.\nAnswer: s**(50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b. Let l(f) be the third derivative of 219*f**4\/4 + 4861*f**2. Give j(l(p)).\nAnswer: 2628*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1778?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(176) - sqrt(176)) + sqrt(11) + (3 + 3 + sqrt(11) - sqrt(11) - sqrt(11)))*1)**2.\nAnswer: -192*sqrt(11) + 2852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 1 - (-4 + (2 - -2))) + -113 + 4?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c - 91 - 151 = 0. What is the greatest common factor of 1177 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -4333\nAnswer: 433.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**26)**(-23\/6)*(g**(1\/19))**43 assuming g is positive.\nAnswer: g**(-3847\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 190.43 - 7.43. Sort 5, 0, r in ascending order.\nAnswer: 0, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/33)\/(6\/33)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3898381457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -30*(-2 - (-10)\/4). Let o = d - -28. Let i(q) = q**3 + 5*q**2 - 10*q - 11. Let h be i(-6). What is the greatest common factor of o and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 17 - 67. Let a = 78 + w. Suppose -35 = 5*b - 3*q - 138, 3*b = 4*q + a. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/24 and -61\/10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 291.6*-7\nAnswer: -2041.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 67814300 rounded to the nearest one million?\nAnswer: 68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116\/203*(-315)\/(-60).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-3 + 0 + (-39)\/(-3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/335911 - -1753119489\/3359110. Let h = 519 - w. What is the common denominator of -29\/6 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/9 + 17*f**2\/3 - 11*f + 49\/9.\nAnswer: -(f - 49)*(f - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*p - 63, 4*q - 24 = -5*p + 101. What is the highest common factor of 45 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c**3 - 2*c**2 - 7*c + 17. Give m(2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -12386050 divided by -1891\nAnswer: 6550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*m + 198*m - 93*m + 231*m**3.\nAnswer: 231*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 + 7*q - 10. Let w be ((-11)\/(33\/(-6)))\/(2\/(-7)). Let b be m(w). Suppose -5*v = -b - 11. Round v to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739575\/18 + (-50)\/900 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*1*26\/(-26).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n + n - 5*n + 1311*n**2 + 2.\nAnswer: 1311*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/8)\/((-135)\/(-900)). Let g = 2.98 + 0.22. Let w = -3 + g. What is the nearest to 0.08 in v, w, -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 6\/4115?\nAnswer: 6\/4115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4771 = 5*v - 2*u, -487*u + 488*u - 1912 = -2*v. What is the remainder when v is divided by 152?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3024008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*o - 95 = 0. Let v = o + -8. Let u = v - 4. Solve m + 4 = u for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 265415 - 3?\nAnswer: 265412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 180*n + 185*n = 28, w - 6 = -2*n. Sort 2, -27, -3, w in decreasing order.\nAnswer: 2, w, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -63*f**4*u**2 - 28*f**4 - 233*f**3*j + f**2*j - 2*f**2 - 2*f*j*u**2 - 364*f*j + 7*j*u**2 - 2*j*u - 773*u wrt f.\nAnswer: -1512*f*u**2 - 672*f - 1398*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnff. What is prob of picking 2 f and 1 n?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**3 - 3*y**2 + y - 2. Suppose -5*u + 3*u = -4. Let x be h(u). Let z(o) = -o**2 + 3*o - 1. Determine z(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.38 in 1337, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 2*n = -5*m + 40, 0 = m + 4*n + 8. Let t(q) = q**2 - 30*q - 335. What is the smallest common multiple of m and t(-9)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -0.3 (b) -3.9 (c) -1\/5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + 3 - 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4365, 35032, 118287, 280428, 547753, 946560, 1503147?\nAnswer: 2243812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 8:43 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/143 + 5 + 4\/26\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 3:44 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 w when three letters picked without replacement from vvwvwwwvwvwv?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -80047 <= -80045?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y - y + 4*y. Suppose 3*g + 1 - 7 = 0. Let i(o) = 5*o**2 - 3*o**g + 6*o - 6*o. Calculate i(q(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.4 - -4.6. Let t = 23 - r. Let n = 0.5 - 0.1. Which is the closest to -1? (a) n (b) t (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5677, 11231, 16637, 21889, 26981, 31907, 36661, 41237?\n\"Answer: -g**3 - 68*g**2 + 5765*g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 + (6 - 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 36, 69, 102, 135?\n\"Answer: 33*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 99 - 99. Suppose -2*a = 3*v - 599, z = 2*a + 6*v - v - 593. What are the prime factors of a?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 21*w**2 + w**2 - 18*w**2. Let q(n) = 3*n**2. Give l(q(t)).\nAnswer: 36*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -2. Let l = 3.2 + -0.2. Sort l, -5, k in descending order.\nAnswer: l, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**3 + 7*x + 2. Let f be 9 + (-6 - (-1 - 8\/4)). Let o(i) = 2*i**3 - 6*i - 1. Determine f*m(r) + 7*o(r).\nAnswer: 2*r**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -45869059 and -18.\nAnswer: -45869077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17898010845 take away 0.259?\nAnswer: -0.08001989155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406708?\nAnswer: 2, 17, 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22012112 - 0?\nAnswer: -22012112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 5:53 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 216 - 192 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -7, 222\/19, 2, -4 in decreasing order.\nAnswer: 222\/19, 3, 2, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l**(-2\/21)*l)\/l)*l)\/(l\/(l**(1\/23)*l*l)))\/(l\/(((l*l**(1\/11))\/l)\/l))**15 assuming l is positive.\nAnswer: l**(-135469\/5313)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 10*n - 9. Let j be u(12). What are the prime factors of 5\/j*48*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9856 is divided by 44?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8 + -2 + 8\/6*-3. Let a(t) = 0*t**2 - 2*t**i + 6*t**2 - 3*t**2. Let u(p) = -p**2 - 2*p. Let r(v) = -2*v - 7. Let d be r(-5). Determine d*a(o) + u(o).\nAnswer: 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - -68. Let u(b) = -3*b + 8. Let c be u(-14). Let i = m - c. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3396 (base 10) in base 16?\nAnswer: d44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6287?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 2:58 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 37, 0.15, 329?\nAnswer: 329","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 7*n + 23. Let x(o) = -16*o + 46. Let g be x(3). Let s(m) = 3*m + 11. What is g*h(t) + 5*s(t)?\nAnswer: t + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*t + 7*t. Solve 0 = -2*h + t*h - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at most 475\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 42*q**2 - 297*q - 3093. Is o(-11) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -707852, -1416375, -2124886, -2833379, -3541848, -4250287, -4958690, -5667051?\nAnswer: -6375364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 9 + (28 - 34) + (7 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 greater than or equal to -23.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**2\/b)**(-12\/7)*(b*b\/(b\/b**(-8\/7)))\/b*b\/b**(-10\/7))**(-18) assuming b is positive.\nAnswer: b**(270\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1326722581 to the nearest integer?\nAnswer: 1099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 6*n - 8 = 0. Suppose -u = -x + n - 3, -3*u + 6 = 4*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c**3 - 2*c**2 - 2*c - 1. Let i be f(-1). Let v(h) = h**3 - 2*h**2 - 3*h. Let r be v(i). Suppose -5*p + 14 + 11 = r. Solve 0 = -x + p*x + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2. Let j(p) = 6*p**2. Let m(r) = -j(r) + 12*x(r). Let g(u) = u**2 - 2*u. Let b(i) = -2*i**2 + 5*i. Let f(d) = -2*b(d) - 5*g(d). Determine f(m(a)).\nAnswer: -36*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (114*m**2 + 138*m**2 + 236*m**2 + 330*m**2)*(3*m - 1 + 1)*(-3 - 1 + 6) as h*m + s + t*m**3 + j*m**2 and give t.\nAnswer: 4908","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*w - 74*w = 0. Find j, given that -j**4 + 2*j**3 + 0*j**3 - j**3 + w*j**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 17 - 18 = 0. Let t be 3*1\/((-6)\/(-8)). Let l = t - b. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -207*b**3 - 2*b**2 + 6*b - 184. Let g(p) = 415*p**3 + 4*p**2 - 13*p + 370. Let c(a) = -6*g(a) - 13*t(a). What is the derivative of c(o) wrt o?\nAnswer: 603*o**2 + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/((-833)\/7) - (-678)\/34?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*u + 8. Suppose 0 = 5*q + u - 33. Factor 2*v**4 - 4*v**5 + q*v**5 - v**4.\nAnswer: v**4*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**2 - 2*w + 1. Suppose 5*a = -2*v + 72 + 9, -4*v = 2*a - 26. Calculate the remainder when a is divided by l(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3.4 (b) 48\/5 (c) 4 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 875.7599ml?\nAnswer: 0.8757599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 8*f + 1365. Calculate t(-41).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27331131.93 - -27331019.9299941. Let k = 263 - 151. Let w = k + u. What is w rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -2*g**7\/105 + g**5\/15 + 6*g**2 + 2. Suppose r(b) = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -3.6?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -0.365 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - 0.35. Let l = a + 0.23. Suppose -5*q = -5*q - 6*q. What is the second biggest value in q, 5, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w - 5. Let x be ((-1)\/1)\/((-1)\/5). Let m be s(x). Let z(b) = -b**3 - b**2 - b + 2. Is z(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-13484425\nAnswer: 1348442.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 4*c**2 + c + 7. Give g(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away -0.1061?\nAnswer: -0.1939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 567 is divided by 95?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(3\/20)\/r))\/(r**0*r))**(3\/14) assuming r is positive.\nAnswer: r**(51\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 24. What is the units digit of s(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13542.3469 - 13541. Round i to 1 decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3840317943635 from 0.4.\nAnswer: -3840317943634.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000565705 to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2264304 and 161?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 8*a - 227. Calculate i(-20).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + sqrt(7) + sqrt(7))**2 + (sqrt(700) - 1*sqrt(700))**2.\nAnswer: -128 - 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 9*g - 7. Let z = -8 + 11. Suppose f + 3*f + 12 = 0, -l - f = 0. Suppose -5*s + 6*r = l*r + 45, -z = -2*s - 3*r. What is m(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(10\/2)*25\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 3*d + 14 = 0, 6453*z - 6458*z = -d - 14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.44678 rounded to 3 decimal places?\nAnswer: -0.447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 9*y - 2. Let d(h) = -19*h + 5. Let u(o) = -2*d(o) - 5*l(o). Let s(r) = -3*r**2. What is u(s(t))?\nAnswer: 21*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 91855 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*b = -107*b + 1904 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -12.2137279*3\nAnswer: -36.6411837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/7 - 10947900*n\/7 + 54739550\/7.\nAnswer: -2*(n - 5)*(n + 5473955)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1 + 85\/(-68))\/((-2)\/26472)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = p + 3 + 8, p = -c - 2. Let i(h) = h**2 + 4*h - 5. Let b be i(p). Factor 0*f**4 + b*f + 2\/5*f**3 - 2\/5*f**5 + 0 + 0*f**2.\nAnswer: -2*f**3*(f - 1)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1\/19, 2\/19, 0.2, -42, 2 in decreasing order.\nAnswer: 2, 0.2, 2\/19, 1\/19, -0.3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6317424391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of h**5\/60 - h**4\/3 - 4*h**3 - 5*h**2. Is c(12) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 4:45 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**3\/3 - 2102*c**2\/3 + 87280*c\/3 = 0.\nAnswer: -1091, 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 293\/(-1172)*((-2)\/5)\/((-16)\/480).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 440?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 180*g**2*h**2*j**3 + 6*g**2*h**2*j - 8*g**2*h*j - 3*g*h**2 - 2*g*h*j + 13*g*j**5 wrt j.\nAnswer: 1080*g**2*h**2*j + 260*g*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(7\/6)*p)\/p*p\/p**(-5)*(p\/(p\/(p\/(p*p**6)*p)))**(2\/123) assuming p is positive.\nAnswer: p**(745\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(-2*w**5 + 2*w**2 - 2*w**2) + 0*w**5 + 0*w**5 + 2*w**5 + 34*w**5 + 179*w**5 + 616*w**5.\nAnswer: 835*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f + 144. Give y(-30).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**6\/24 + w**5\/12 + 8*w**2. What is the third derivative of t(n) wrt n?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**5\/20 + 11*z**4\/12 + 7*z**3\/3 - 3*z**2\/2 - 3*z. Let c be p(12). Suppose -i = 2 - c. What are the prime factors of i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l + 21 = -l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 23. Let j be -2 + 2 + -1 - -2. Suppose x = 7*y - 20 - j. Solve -4*z + 11 = 3*m + 4, -y*z + 24 = -4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.06, 0, 2 in decreasing order.\nAnswer: 2, 0.06, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6) - (-2)\/(-3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2026 = -2*z + 4*l, -114 = 4*z - l - 4152. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 6:52 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 505794388.\nAnswer: 2, 11, 31, 601, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3\/3 - 373*v**2\/3 + 370*v = 0 for v.\nAnswer: 0, 3, 370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 129*h**2 - 57*h. Let o(m) = 86*m**2 - 38*m. Let l(n) = -7*o(n) + 5*q(n). Find the second derivative of l(j) wrt j.\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 46, 200, 430, 724, 1070, 1456, 1870?\n\"Answer: -2*y**3 + 50*y**2 + 18*y - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 11*j + 53. Let k be q(15). Suppose 226 = 6*u - k. Let a = u + -65. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1030? (a) -318 (b) -1 (c) 5 (d) 0 (e) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 24*s**2 - 2*s**4 + 24*s**2 + (-14*s**3 + 0*s**3 - 49*s**3)*(-3*s + 0*s + 4*s).\nAnswer: -65*s**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14184884851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -307 (b) 0.5 (c) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-370)\/24 - 18\/(-24))*-27. Suppose -7*p = 2*p + u. Is -44 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.42258*-4941\nAnswer: 16910.96778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 0 = 2*q - 5, -35 = -4*q + 3*j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 194 = -2*w, 2*y + w + w = 178. Calculate the highest common divisor of 1674 and y.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*c**3\/3 + 35639*c**2\/6 + 4291*c\/3 - 14725\/2 = 0. Calculate c.\nAnswer: -57\/46, 1, 775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.31 times -7.15\nAnswer: -2.2165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 15) to base 3\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00428289964 to four decimal places.\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1223147*z + 1223145*z - 2446291*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-5 - (-1 + -3)). Suppose 8 = 4*h, o = 4*p - 3*h - 2*h + 6. Let s = -1 - -0.9. What is the closest to s in -2, 4\/9, p?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10301 + 3031?\nAnswer: 13332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -406\/86447 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -119 - -120. Let l be 36*z + 10\/(-5). Factor 73*m**4 - 42*m**4 - l*m**4 + 3*m**3 - 3*m + 3*m**2.\nAnswer: -3*m*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 0 + 1\/3360*y**8 - 1\/300*y**5 + 0*y**4 + 0*y**3 - 1\/525*y**7 + 1\/240*y**6 + 0*y + 18*y**2. Solve w(m) = 0 for m.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -4*q - 18. Suppose 0 = -4*g - 2*j + 112, q = g + 3*j - 0. What is the remainder when g is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6913129558 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u + 20 = 14*u. What is the least common multiple of u and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2584107 a multiple of 465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1647623.\nAnswer: 17, 19, 5101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15.6 + 16. Suppose 0 = -2*v + 57 + 123. Let a be 2\/7 + v\/(-21). Sort a, 13, n in ascending order.\nAnswer: a, n, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/((-30)\/9) - -1)*-10. Suppose 0 = -t - 4*l - 10, -3*t - 5*l - 5 = -t. Calculate the greatest common divisor of t and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00090808073 rounded to 7 decimal places?\nAnswer: 0.0009081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 25 (c) 0 (d) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4) + (-28)\/(-8). Suppose 5*p + 16 = -2*t + 151, z*t + 5*p - 200 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49\/2 + -25. Let b(f) = 13*f**2 + 4*f. Let l be b(3). Find the common denominator of k and l\/18 + 0 + -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -n**4\/4 + 4*n**3\/3 + n**2\/2 + 25*n + 68. Let r be p(0). Solve -3 - r = 7*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -j**4\/6 - 202*j**3\/3 - 792*j**2 - 6135*j. Let f(x) = 0. Calculate x.\nAnswer: -198, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26886608 divided by 16\nAnswer: -1680413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -0*z + z + 28, -3*l + 4*z = -27. Suppose 0*v + l*v = 30. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 22438527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 1316652?\nAnswer: 1316646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19125 + 5262*q + 6377 + 6376 + 6372)*(0*q**4 + q**4 + 0*q**4).\nAnswer: 5262*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + h - h)*(535*h**2 - 393*h**2 - 415*h**2) - 3*h**4 + h**2 - h**2 - 2*h**2 - h**4 + 2*h**2.\nAnswer: -550*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 92717, 185435, 278153, 370871, 463589, 556307?\n\"Answer: 92718*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, k: 4}. Give prob of picking 1 k and 2 h.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*l**2\/8 - 2571*l\/4 - 1713\/8 = 0. Calculate l.\nAnswer: -571, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 9*p**2 + 5*p + 3. Is d(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2400 by -6.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -61, 236, 745, 1478, 2447, 3664?\n\"Answer: 2*m**3 + 94*m**2 + m - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50263 + 12913 = 405*h - 1752*h - 1143*h for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -318*a. Let n(b) be the second derivative of b**3\/6 + b - 120. What is n(w(q))?\nAnswer: -318*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -3\/4 (c) 346 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1.49, 2\/7, 460, -0.2?\nAnswer: -1.49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 572*y**2 - 448*y wrt y.\nAnswer: 1144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x + 10. Let p be t(5). Suppose p*y - 5*y = -50. What is the highest common divisor of y and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -2*s - s, 0 = -3*s + 2*b + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 10:48 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/13 + (-43)\/26. Let m(y) = -22*y**2 + 265*y - 7. Let s be m(12). Which is the nearest to -1\/2? (a) 0 (b) r (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8525259 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -3 (b) -468 (c) -17 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -4) + -3 + -23 + 30?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13412512 (base 8) to base 12.\nAnswer: -10178b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 + 12 - 129)*(2*t + 2*t + t)*(5*t**2 - 14*t**2 - 10*t**2) + 0*t + 2*t**3 + 0*t in the form x*t**3 + u + l*t**2 + v*t and give x.\nAnswer: 9407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-1\/2)*l))\/l*((l*(l*l\/(l*l\/(l*l*((l\/l**(-1))\/l)\/l))*l)\/l)\/l)\/l*l*l assuming l is positive.\nAnswer: l**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 8:35 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -7*l**3 + 2*l**2 + 3*l + 1. Suppose 10*w + 26 = 16. Let o be p(w). What is the greatest common factor of o and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -155 - -166. Let s(m) = m**2 - 11*m - 5. Give s(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262 = 4*d + 2*w, 5*d - w - 66 = 279. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 5:36 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 31314 (base 5) in base 11?\nAnswer: 1625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*g - 2829 = 12530, 5*n - 5*g = 19155. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) 345184\/3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/(-2))\/(-1 - -2). Let s be (1 + 0)*(-1 - p). Let d(b) = 13*b**2 + 2*b + 1. Is d(s) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 22*k**2 - 31*k + 220. Give j(-19).\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 2, -6 in decreasing order.\nAnswer: 2, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -63.4 * -9077.\nAnswer: 575481.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 26*(-1)\/2 + -2. Let j be (6\/v)\/((-1)\/(-2)). Which is the third biggest value? (a) -0.4 (b) j (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41.4 - 41. Let y(i) = -i + 6. Let l be y(5). Let u = -43 + 43. Which is the second smallest value? (a) t (b) u (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 11:34 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6328.\nAnswer: 2, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, i: 3}. What is prob of sequence iij?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2041351 is divided by 9629.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 486409255, 972818509, 1459227763?\nAnswer: 1945637017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + m + 230 = 0. Suppose -5*w + 2*u + 2*u = -m, 5*u + 38 = 3*w. Suppose 3*a = 5*a + w. Put 4, -5, a in ascending order.\nAnswer: -5, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + (10 - 4\/2). Let l(h) = -13*h + 7. Let d be l(-3). Suppose 0 = -c + 4 - 1, 5*q - d = 3*c. Solve a*z - 8 = -2*f, 3*z = 6*f - f + q for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 1:41 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158861751 is divided by 7961.\nAnswer: 7957","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 3)*(-9*c**2 + 0*c**2 + 3*c**2) to the form f*c + x + h*c**2 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 9:43 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -23. Let q be (-2)\/v*3\/(-2). Let u(o) = -3*o**2. Let l be u(1). Is l <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, 1\/4, -3\/77, -3\/7 in decreasing order.\nAnswer: 1\/4, 0.08, -3\/77, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -22101121?\nAnswer: -22101120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -437, -375, -263, -101, 111?\n\"Answer: 25*o**2 - 13*o - 449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.2132708 and -82075.\nAnswer: -82073.7867292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.23, 0.5, 5, -0.1, 0.63, -5?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*a - 39309 = 31*a - 3*l, 3*a = 2*l + 39309. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2091.693977 rounded to 0 decimal places?\nAnswer: 2092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -771.5606 - 366137.64.\nAnswer: -366909.2006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 193685821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 - 11)*(3 + 5 - 6)*(0*t**2 + 3*t**2 - t**2).\nAnswer: -52*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 41*i - 34*i + 47, y + 7 = i - 0 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4655670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17995*o - 17993*o + 2*f = -48, -5*f = 6*o + 142 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000132263 to 7 decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 1\/169, 2 in decreasing order.\nAnswer: 3, 2, 1\/169, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 8*l - 4*l + 4726, -2*c = 3*l - 1895. Suppose 8*z - c = 878. Is z a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.015 and 9991.\nAnswer: 149.865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*a = -5*a - 26, 36 = 4*y - 3*a. Suppose 4*l - l - 2*f = 5, 2*f - 5 = l. Suppose -12 = -y*v + l*v. Solve -2*k = 2*k + v for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 69183 or 69171?\nAnswer: 69183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000015529 rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-105)*(-945)\/378)\/((-54)\/560).\nAnswer: -80\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 17, g: 3}. What is prob of picking 1 b and 2 g?\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2255 - -1470. Let m = -1121 - q. What is the common denominator of ((-3)\/(-44))\/((-7)\/m) and 24\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2116, 2119, 2122, 2125, 2128?\nAnswer: 2131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -1. Let v = -4 + n. Which is the third smallest value? (a) 4 (b) -0.3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h - a - 4 = 0, 0 = 4*h - 3*a + 14. Is h\/2 + (-64)\/(-4) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b8 (base 14) in base 5?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6136320 and 59596?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101211210222 (base 3) to base 15.\nAnswer: 25a98e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 26*i**2 - 2235*i + 108. What is u(36)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 11181.4733 and 12.2.\nAnswer: 11193.6733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 49 = 216. What are the prime factors of u?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*d**2 - 258811*d + 8704547.\nAnswer: 16*d - 258811","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -396*j + 1 - 10518*j - 960*j - 1.\nAnswer: -11874*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3}. What is prob of picking 2 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.6, 89, -3, -1, 1, -21\/2?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -830860 - -830859.98999994. Let t = 0.02 + -0.03. Let l = t - u. Round l to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a century in decades?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -72, -105, -136, -165?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 12*s**2 + 20*s + 12. Let q be a(10). Let j(k) = k**3 - 12*k**2 + 7*k - 1. Does 16 divide j(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(((-2*sqrt(285))\/sqrt(5))\/(sqrt(9)\/sqrt(3)*-2) - (sqrt(76)*4 + 0 + 0)))**2.\nAnswer: 33516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -1462.\nAnswer: -2\/731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - d - 9 = -4*d, -2 = -2*p + d. Suppose 13 + p = 2*n. Suppose -101*z + 1245 = 155*z - 7*z. Solve -2 = -z*j + y, -j = 2*j + 4*y + n for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14644\/3 + 4884. Solve -w*f**3 - 1\/3*f**4 - 8*f - 3 - 22\/3*f**2 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 846930.2ml to litres.\nAnswer: 846.9302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 6*i**2 + 22*i + 36. Let b be p(-8). Let m be (b\/(-30))\/((-33)\/30 + 1). Sort -0.2, -0.1, 0.063, m in increasing order.\nAnswer: m, -0.2, -0.1, 0.063","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 - -2289?\nAnswer: 2352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-5) - (-46)\/10. Suppose -6 - 19 = -c*x. What are the prime factors of 2\/5*(x + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 2*r - 3*o, -30 = -r - 2*r - 3*o. Solve -66*x**3 + 71*x**3 + 9 - 25*x - r*x**2 + 4*x**2 + 21 = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - 47571\/(-30)*-1. Let t = 1592 + x. Calculate the common denominator of -29\/6 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 - n**2 + n**2)*(2 - 4 + 1) + 8*n**3 + 0*n**3 + 0*n**3 + 4*n**3 - 3*n**3 + 0*n**3.\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 7. Suppose -x*p + 4 = -4*p. What is the smallest common multiple of 5\/p*(-8)\/10 and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 - 21*r - 3. Let i be h(-9). Suppose -39 - 81 = -i*m. Solve 3*j + 1 = -m*l - 14, -2*l = -5*j + 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132 and 13772?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 6*p - 11. Let x be k(4). Solve -5*z + 10*z - t - 15 = 0, -2*z - t + x = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/2)*((a\/a**(-13))\/a)\/a)\/(a*a**(2\/13))**(-1\/34) assuming a is positive.\nAnswer: a**(2328\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5\/1*(-8)\/(-56)*-7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 12751*o**2 - 229482*o - 646. Determine b(18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -7. Find the third derivative of 4*y**6 + y**6 - y**n - 3*y**2 wrt y.\nAnswer: 480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**4 - 90*d**3 + 300*d**2 - 310*d + 105 = 0. What is d?\nAnswer: -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 252950657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -10*w**3 - 16*w**2 - 34*w - 4. Let f(b) = 3*b**3 + 5*b**2 + 11*b + 1. Let l be (0 + -3)*(-16)\/3. Let x(c) = l*f(c) + 5*p(c). Factor x(j).\nAnswer: -2*(j - 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0*l = 3. Calculate the lowest common multiple of 10 and (l\/(-2))\/((-18)\/(-24)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*sqrt(204)*-1 - sqrt(204))\/(-4*sqrt(54)))\/(-2*sqrt(18)\/(1*sqrt(225)))*4)**2.\nAnswer: 20825\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18*((-291)\/(-117) - 6\/39). Suppose -3*q + 40 = -4*c, -5*c = 4*q - 2*q - s. Solve 4 + q = 4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155*g**2 + 157*g**2 - 311*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.048002578 rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-9)\/s**31*(s*s*s**(-11)*s)\/s**(2\/9) assuming s is positive.\nAnswer: s**(-434\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 12. Is q <= 8\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2240 * -84.63\nAnswer: 189571.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 9*v**2 - 15*v - 8. Let q be n(-10). Suppose -195 = -4*i + 4*k - k, -i + 3*k + q = 0. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4 + 8. Let v(k) = -k**3 + 7*k**2 - 5*k - 6. Let h be v(6). Suppose h = g - 4 + 6. Put q, -3, g in increasing order.\nAnswer: -3, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2423*w - 2*w**2 - 2421*w - 2*w**4 + 1 + 7*w**2 + (-2 + 2 + 2*w**3)*(5*w - 8*w - 6*w) in the form c*w**3 + i*w**2 + r + o*w + x*w**4 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4207791.\nAnswer: 3, 7, 200371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222112120 - -1?\nAnswer: 222112121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -636\/139 - -2961\/556. What is the third biggest value in 5\/3, 0.0695, v?\nAnswer: 0.0695","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 7 - 12*g + 13*g + 21.\nAnswer: g + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 1. Let w be y(0). Let g = 5 + w. Suppose -p = 5*v + 2, -5*v + 2*p = g*p - 1. Which is the nearest to -0.1? (a) v (b) 0 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -5 and -2091\/586 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 - 266*s - 8853.\nAnswer: -(s + 39)*(s + 227)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j**3 - 41*j**2 + 53*j - 49. Is d(-40) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416723113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0307 - 1.9693. Put -3, k, 4\/5, 0.14 in increasing order.\nAnswer: -3, k, 0.14, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 983*v = 1175*v + 1152 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43.3201 + 43.4. Round p to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(39\/26 + (-18)\/4). Determine y so that 0 + 2\/3*y**3 + 0*y + w*y**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*a - 387*a - 452*a + 1550 = 0. Find j such that 2\/3 - 2\/3*j**a + 2\/3*j - 2\/3*j**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -9, 2\/13, 3\/11, 952, 4?\nAnswer: 952","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1263 is divided by 254.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 5*a**2 - 4*a - 6. Let h(n) = 11*n**2 - 7*n - 12. Let q(c) = 4*h(c) - 9*x(c). Give q(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -103 - -197. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.15 + 0.15. Let u = -9 - n. Let z = -2.9 - u. What is the closest to z in 1\/3, -1\/3, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4444\/4444)\/(388\/8*-1)?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3740 or -3747?\nAnswer: -3740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22928 is divided by 117?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-4*(6*6*(sqrt(1216)*-2)**2 + -1)*-3.\nAnswer: 2101236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -124*f + f**3 + 122*f - 15 - 26 - 1 to the form t*f**2 + v*f + g + i*f**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 23 - (-2 + (8 - 3)). Let m be (j\/6)\/(6\/63). What is the units digit of (-7)\/(-2)*220\/m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*x + 75*x**2 - 2*x**4 + x**3 - 3*x**3 - 74*x**2 as c*x**3 + w*x**4 + a + i*x + d*x**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 11*g + 3. Let n be k(-11). Factor 3*b**4 - n*b**2 + 6*b**2 + 0*b**4 + 6*b**3.\nAnswer: 3*b**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*f - 74, -5*s + 83*f + 182 = 87*f. Solve -s*o + 145 = -5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52733851.\nAnswer: 52733851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.59044273 to 1 dp.\nAnswer: -44.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3141492458.\nAnswer: 2, 13, 17, 149, 47701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119133 is divided by 424.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 6*q + 66. Let g(o) = o**3 + 3*o**2 - 4*o - 3. What is the remainder when q is divided by g(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 705629941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of g**3\/12 + 15*g**2\/4 + 81*g\/4 - 4824. Determine s, given that u(s) = 0.\nAnswer: -27, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 3:43 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(2\/9)*n)\/n)**(3\/29)\/((n*n**(1\/5))\/(n*n\/(n\/(n*n**(-1)*n))*n)))\/(((n\/(n*n**(-2)))\/n**(-6))\/(n**(2\/7))**(4\/11)) assuming n is positive.\nAnswer: n**(-199954\/33495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2192794\/(-944) + (-1)\/8. Is u at least -2323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 98737970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - 33. Let w = 27 + h. Let t = 19.9959 + w. What is t rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 6*h - 2. Let l be d(7). Let f be 5\/(75\/(-171))*l. What are the prime factors of 0 + -4 + 1 - f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -135 + 1217\/9. Which is greater: j or -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1972 + 5.1972. What is the biggest value in -35, -60, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2123 (base 4) to base 8.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/sqrt(4) + 2 + -5*(sqrt(19) - (-1 + sqrt(19))) + 1.\nAnswer: -2 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*o. Suppose -8*l + o*l + 32 = 0. Solve -l*r = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-64 - -2) + 3 + -2. Let u = j - -66. Suppose -u*b = -140 - 325. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 288*(-3 - (-44)\/12). Calculate the greatest common divisor of y and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9264230 divided by 1852846?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160576 is divided by 85.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -126853000.\nAnswer: -126853000.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-5 + 1 + 2*sqrt(72))*2)**2.\nAnswer: -9600*sqrt(2) + 30400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3 - (8 + 1057\/(-147))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s. Let o = -16 - -8. Let i = -4 - o. Let t be q(i). Solve y - t = -2*g, -2*y + 4*g - 2*g + 8 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 1499, 93, 5, -1\/2, 0.1, -0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1120)\/(-532))\/10 - (-2165)\/95.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + a)*(2*a**3 + a**2 - a**2) + 18*a**2 - 18*a**2 - 10*a**4.\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-98)\/78204*-42*-893.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 329?\nAnswer: 3\/329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22? (a) -1\/11 (b) -8 (c) -0.6 (d) 2\/3 (e) 5\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 2. Let b be ((-32)\/28 + 2)\/3. What is the closest to b in m, 3, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 + (-448)\/(-40))*(-1)\/2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 1)*(110*l - 9 + 95*l - 220*l) to the form h + m*l and give m.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 2)\/((-9)\/(-6)). Let s be (-20)\/6*(1 - k). Let l be s\/(-4) - (-1)\/2. Solve 5*d = l*z - 9, 3*z - 3 - 6 = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aya. Give prob of sequence aya.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32314410.\nAnswer: 2, 3, 5, 29, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 148*g**4 - 1591404*g**3 + 2752176*g**2 + 860080*g = 0.\nAnswer: -10\/37, 0, 2, 10751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 11. Let n = 106 + -109. Put -1, b, n in descending order.\nAnswer: b, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4386043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-2)\/(-370))\/(16\/(-64)*120\/150))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98091 is divided by 33?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 324 = 28. Let o = 16 - u. Does 5 divide 8\/(-56) + (-717)\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m - 6*m + 0*m. Let i(r) = 9*r - 7*r + 0*r. Calculate i(g(b)).\nAnswer: -14*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -28*l - 2. Let s(a) = -9*a + 18*a - 10*a. Determine s(o(w)).\nAnswer: 28*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 482558?\nAnswer: 2, 89, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 370, 473, 650, 907, 1250, 1685?\n\"Answer: h**3 + 31*h**2 + 3*h + 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -21. Suppose -i - 5 + d = 0. Which is the closest to i? (a) 2\/15 (b) 2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -16*t + 18 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/30*(-27 - 8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -721253*g**2 - 921505*g wrt g.\nAnswer: -1442506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 2\/17 (c) 2\/19 (d) -0.4 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 7. Let a be p(-6). Suppose 4*r = -3*w + 41, 0 = -2*r - w + a + 20. Let x be (-2 - 1) + 38 + -2. Calculate the highest common factor of x and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27734319 to the power of 1\/2, to the nearest integer?\nAnswer: 5266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -3*x**2\/5 + 17622033*x\/5 = 0?\nAnswer: 0, 5874011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/15*(-1 + -2)\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -18. Suppose -4*s - n + 62 = v, -5*n + 54 = 2*s + 2*s. Solve -5*d - s - 4 = 0, 0 = -3*y - d + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -4. Solve -5*k + i + 2*i - 27 = 0, -4*i + r = 5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, p: 13}. What is prob of picking 1 v and 2 p?\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 8045 = 2759. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41 - -32521.65.\nAnswer: 32480.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 10*t - 5*t = -65, 3*t = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3702383, -1, -2 in ascending order.\nAnswer: -2, -1, 3702383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*l + 46*l = 4*y - 8496, -3*y = -8*l + 22697. Calculate the remainder when l is divided by 564.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - i + 1. Let w(l) = -12*l**2 - 10*l + 10. Suppose -3*v + 4*x = 102, -16*v + 11*v - 138 = 4*x. Calculate v*q(o) + 3*w(o).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(-5) - 14\/(-70). Suppose g*z - 48 = -z. What is the lowest common multiple of z and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -12*r**2. Suppose 8*v = 12*v - 872. Let z(m) = -v + 218 + 5*m. Calculate z(i(a)).\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lttttttttltttttmttlt. Give prob of picking 1 m and 1 l.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 6*d**2 + 28*d - 47. Let s be w(-4). Suppose -3*z + 10 + 74 = 0. Sort z, s, 5 in descending order.\nAnswer: z, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*u + 4 = -2, 2*y + 5*u + 30 = 0. Let i(b) = -b - 4. Let x be i(y). Suppose 2*p = 4*d + 8, 3*d + 1 = -x*p + 5*p. Is 1 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 6:06 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + v + 1. Let c(q) = q**2 + q + 4*q - q + 5*q + 7. Let l be c(-8). Determine h(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1283*211\nAnswer: -270713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3921627 - -18.1078189. Let j = y + -18.5. What is j rounded to six decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5870426 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548222 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -40900 divided by -8180\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**3 + 18*a**2 + 4*a + 30. Give g(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*p - 2*b = 79*p + 11574, 28935 = 5*p + 2*b. List the prime factors of p.\nAnswer: 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 at most -1960?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 16 = -2*q. Suppose -10 = q*w + 14. What is the second biggest value in w, -4, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3198136621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -67 + 69. Let y be a + (-1 - -1) + 3\/(-1). List the prime factors of ((-654)\/(-30) + -1)*(y - -6).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56 - -99. Calculate the highest common divisor of 43 and f.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 235*i + 19. Let k(t) = 822*t + 66. Let v(y) = -18*c(y) + 5*k(y). Let f be v(-1). Calculate the highest common divisor of 27 and f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*q = 2*q - 40, -12 = -3*q. Let t = 3 - 5. Let s be 3 - t*(-10)\/h. Solve -s*i - 5 = -3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 1:32 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -9*b**3 - 4*b + 5. Let s(l) = -9*l**3 - 5*l + 4. Let c(k) = 5*g(k) - 4*s(k). What is the first derivative of c(d) wrt d?\nAnswer: -27*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9630\/81 + (-10)\/(-9) and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2124*n**6 + 63*n**2 + 5*n.\nAnswer: -254880*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + 15 + -39 + (19 - 16).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 14, 27, -6, 0 in decreasing order.\nAnswer: 27, 14, 0, -6, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 2*x - 15, 2*x - 123 = 5*r + 12. Let v = -4 - r. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 4640?\nAnswer: -4640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14873, -33973, -53071, -72167, -91261, -110353?\nAnswer: -129443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -21772*d**2\/3 - 14516*d - 8\/3 = 0.\nAnswer: -2, -1\/5443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24133302054 - 0?\nAnswer: 24133302054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -152.12 to 0 dps.\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ksk when three letters picked without replacement from {l: 1, r: 3, b: 5, k: 6, s: 4, g: 1}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n + 9. Let v(y) = 12*y + 26. Calculate 11*i(q) - 4*v(q).\nAnswer: -4*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(13) - -1*sqrt(468)))**2*3 + 1)*6.\nAnswer: 183462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*b**2 - 2)*(-3*b - 3*b + 4*b) + (0 - 2 + 1)*(5*b**3 - 3*b**3 - b**3).\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (75\/6)\/((-3)\/6). Let g = h + 33. Suppose 0 = -t - 2 + g. Solve 14 + t = y + 5*u, 2*y - 5*u + 35 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/2)\/(1\/(1 - 2)). Which is the closest to -1\/2? (a) 3 (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-12) + (-28)\/(-6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -712 + 711 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11100111100111 (base 2) to base 3\nAnswer: -202100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -68, -89, -128, -191, -284, -413, -584?\nAnswer: -803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 128, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 330?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 15 + 5. Suppose 10 = 2*q + 2. Let t(o) = -o**2 + 9*o - 5. Let l be t(q). Solve p*y = y - l for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -2*a**5\/15 + 15*a**2 - 54. Let d(s) = 18*s**2 - 13. What is d(n(j))?\nAnswer: 1152*j**4 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -72\/1387 + -49879\/27740. Let c be 27345\/(-4662) - (-1 - -2). Let r = c - 7\/111. What is the common denominator of t and r?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a**2 - 11. Let t(c) = 2*c**2 + 66. What is t(d(y))?\nAnswer: 32*y**4 - 176*y**2 + 308","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {d: 4, e: 4, s: 5, c: 6, m: 1}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/((-2 + 1)\/11). Suppose -2*s - 1 = -5. Suppose -144 = -5*o + b + s*b, 2*b - j = -5*o. Does 15 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyljyjj. Give prob of sequence ylj.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15 - 705?\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/15)\/((-2)\/(-36)). Let y be (-2)\/(m\/30) - -7. Solve 0 = y*l + 9 + 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1)*b*b*b**(-2\/5)\/b*(b*b\/(b**3\/b))\/((b**(1\/7)*b)\/b) assuming b is positive.\nAnswer: b**(-19\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19\/6 or -14?\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2619 + -2619.01841. Round r to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.8 (b) -13829 (c) -1\/2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 4*w - 30 = 0, -3*t - 3*w + 6*w = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100100 (base 2) to base 8.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -16*o - 7. Let a be s(-2). Let m = -7 + a. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -81 - -140. Let g = 58.54 - h. Let u = g + 0.46. Sort 4\/3, u, 0.3.\nAnswer: u, 0.3, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 197146*l**4 - 2*l**3 - 2*l**2 - 1124356*l + 6.\nAnswer: 4731504*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -2.1\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4*(-6)\/(-32))\/((-16425)\/3504))\/1.\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -12*b + 353. Let l be o(30). Sort 36, l, 4 in decreasing order.\nAnswer: 36, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/80*(-736)\/(-368)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 56832.61ng in milligrams?\nAnswer: 0.05683261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 338 and 1628653?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8899 - 4591 + 4370 = -16*y. What is the highest common factor of y and 247?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118940 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 33245 (base 8) in base 9?\nAnswer: 21163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -95322 divided by 1560\nAnswer: -15887\/260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 39 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 92\/(-4) - (0 - 3). Let x = 459 + d. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 4 = 7*z, 0 = -c - 4*z + 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 + 2 - (47 - 9 - (-95 + 128))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jtyjth. Give prob of picking 1 j and 2 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 9*x**2 - 13*x. Let c(q) = q. Let m(w) = -4*c(w) - p(w). What is the second derivative of m(i) wrt i?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -1 + -7 + 16\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 130619775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 43, 68, 129, 238, 407?\nAnswer: 648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 = -25*o + 76 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 351 + 232*f**2 - 350 - 42066*f**2.\nAnswer: -41834*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.587 + -0.087. Let k = 3 - 3.5. Let y = k - 3.5. What is the closest to 0 in y, 0.1, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 times 7031252\nAnswer: -70312520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 306 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h - h**2 + h + h + 4*h**4 + 3*h**2 + 2*h**3 as s*h**2 + g*h**3 + y + i*h**4 + w*h and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 538 - 28*b - 1404 + 776 as k + g*b and give k.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -10 + 6. Suppose 2*d = -d. Solve d = i + 2*q + 3*q - l, -4*i = 5*q - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 579.7 - 4?\nAnswer: 575.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 4*a + 1968. Calculate the remainder when 650\/8 + (a\/32 - -10) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 12*a**2 + 2. Let j be c(-12). Suppose -4*o + 11 = l + 4*l, 0 = -4*l + j*o + 14. Suppose 2*d + 0*d - 4 = 0. Put d, 0, l in increasing order.\nAnswer: 0, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + z**2 - 2. Suppose 0*t = -t + 2. List the prime factors of v(t).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (102\/17 - 2*-13). Let i be 9222001\/3 - 10\/p. What is i rounded to the nearest one hundred thousand?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r + 4. Let y(t) = t**3 + 6*t**2 - 8*t - 3. What is the remainder when y(-6) is divided by f(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 187, -1\/54?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3700 by 80.\nAnswer: 185\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 490 + 171 = -78*l - 119 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 87, 61, -3, -99?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -87*c*j*m**2 + 56715*c*j*u - 3*c*j + c*m**3 + 5*c*u - 5*j*m - 3*m**3*u + 4*m**3 wrt u.\nAnswer: 56715*c*j + 5*c - 3*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 - 4*o**2 - 2*o + 13. Let v(z) be the first derivative of -z**4\/4 + 2*z**3\/3 + z**2\/2 - 6*z - 40. Let i = 5 - 11. Give i*b(k) - 13*v(k).\nAnswer: k**3 - 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 8, n: 2}. Give prob of sequence pp.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 433.4 - 383. Let x = d - 52.4. Sort -17, -0.2, x, -4.\nAnswer: -17, -4, x, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 17*b**2 - b - 21. Let l be q(-17). Suppose 33 = 3*w - 3*u, -5*w - 8 + 33 = u. List the prime factors of l\/w + 116\/3.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1021123 (base 4) to base 3\nAnswer: -20110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4564\/13 + 72049\/208. Let a be 1318 - ((-12)\/(-8) + -1). Let m = a - 9202\/7. Calculate the common denominator of q and m.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (244 - 228) + -26 + 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6424 = -4*l - 4*v, -9*l + 4*v + 4823 = -12*l. Which is smaller: l or -1599?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t - 2*t - 2*t**3)*(4*t + 3*t - 5*t) + (0*t + 0*t + 2*t)*(-7*t**3 + 9*t**3 + 6*t**3) as x*t + r*t**3 + f*t**4 + y + h*t**2 and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 7366*m - 62. Let s(h) = -4910*h + 39. Determine 5*d(z) + 8*s(z).\nAnswer: -2450*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 4*j + 1270, 3*i = 5*j - 315 - 973. Let q = i + 681. List the prime factors of q.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**7)\/((i*i\/i**1)\/i))**(-11\/3)*(i**(-2)\/i*i)\/(i*i\/((i*i*i**(-3))\/i))*i\/((i\/(i\/i**(6\/7)))\/i)*i**(-8)\/i assuming i is positive.\nAnswer: i**(-328\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -290 - -296. Put l, 8, -4, 1 in ascending order.\nAnswer: -4, 1, l, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 12:08 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67 - -66.9. What is the closest to 1 in m, -0.3, -5\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 19865847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 25 = 0, 3*m - 20*s - 13439 = -24*s. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*m = 8*x - 120, -4*m - 2210 = 3*x - 2226 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(2*v**4 + 2*v**4 - 3*v**4) + ((1 - 2 - 1)*(-4 + 4 - 1) - 6 - 5 + 2)*(-4*v**4 + 6*v**4 + 0*v**4).\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**2 - 8390141*b - 4195070 = 0. Calculate b.\nAnswer: -4195070, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 3, -5\/3, -91, -2\/3 in decreasing order.\nAnswer: 3, -2\/9, -2\/3, -5\/3, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33906802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*y**3*z**3 + 1148*y**3*z**2 - 63*y**3*z + y**2*z**3 + 8*y**2*z + 150*y*z**3 + 8*y*z**2 - 9*y*z wrt y?\nAnswer: -18*z**3 + 6888*z**2 - 378*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1 + (sqrt(7) - (1 + (sqrt(7) - sqrt(112)) + sqrt(7))) + 5)*5.\nAnswer: 15*sqrt(7) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 t when four letters picked without replacement from ticiicijctictji?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3641 divided by -17\nAnswer: 3641\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -0.0061855\nAnswer: -0.012371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from fxxdyydfxydxty.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yypy when four letters picked without replacement from pgpygyggppppy?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vuvg when four letters picked without replacement from {u: 4, v: 2, g: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2004518726.\nAnswer: 2, 7, 143179909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(704))*5*-5 + 6*(sqrt(704) + 1)**2*-4)*-5.\nAnswer: 2920*sqrt(11) + 84350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/474 and -71\/2528.\nAnswer: 7584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**28*t*t**(-8)*t assuming t is positive.\nAnswer: t**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 5:51 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o - 27. Let y be 1\/(-2)*4\/2*-8. Let b be u(y). Let v(p) = p**3 + 3*p**2 - 3*p - 4. Give v(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13929, 57693, 130633, 232749, 364041, 524509, 714153?\nAnswer: 932973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(208)*-3 + 5)*5 + -2)*-6.\nAnswer: 12 + 360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27107\/9 - -3023. Let w = s + -409\/36. What is the second smallest value in -4\/7, 6, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 99? (a) -2 (b) 0.1 (c) -1\/2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008982816 rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 12:53 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*t = -6*r + 37, 2*r - t = 3. Suppose -r*d + 1998 = 2*l, l + 4 - 3 = 0. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4531775 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174426 is divided by 101.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -12*9\/16*-4*1. Suppose -2*s - l*r + 2561 = -28*r, -r = -3*s + 3839. Does 67 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, 8, 29, 50, 71, 92?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t + 35 - 35 - 3*t. Let z(g) = 4*g**2. What is z(p(d))?\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**3 + 13*o + 6*o**3 + 0*o + o**3 wrt o.\nAnswer: 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12200 + 122221?\nAnswer: 212121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 125051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4645197, -4645180, -4645163, -4645146, -4645129, -4645112?\n\"Answer: 17*v - 4645214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uupu when four letters picked without replacement from {p: 15, u: 3}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 - 32. Suppose 26 = -3*u + 4*k, -2*u - 2*k + 3 + 3 = 0. Let g be (u - -4)*2\/(-3). Which is the biggest value? (a) -1\/2 (b) g (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - w**2. Let h = 4 - 2. Let p be t(h). Is 1 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g - 92 - 96 + 197 to k + r*g and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 368*i*k*t**3 - 17*i*k - 6*i*t**3 - 140*t wrt t.\nAnswer: 2208*i*k*t - 36*i*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6860 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3240 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 - 8*p**2 + 4*p**2.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -9*j + 6. Let f(g) = -8*g + 5. Calculate -7*f(w) + 6*p(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 586, 620, 696, 838, 1070, 1416, 1900?\n\"Answer: 4*x**3 - 3*x**2 + 15*x + 570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2324 and 8300.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1720 is divided by 282?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 23) + (18 - (38 + -22)) + -97.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 3*b**2 + 9*b - 12. Let a be t(2). Suppose 2*c - 4*g - 370 = 0, -a = 4*g - 2*g. Is 25 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 - -0.3. Let s = 9.2 + -9.147. Let b = -0.253 + s. Sort n, 0.04, b.\nAnswer: n, b, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/n**(3\/19)*n))\/n)\/n)\/((n\/(n*(n*n**(-11)\/n)\/n))\/n) assuming n is positive.\nAnswer: n**(-263\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1831*y - 1836*y - 2*v - 13, 0 = -2*y + 17*v - 112 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7641516 is divided by 159198.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3 = -2*b, -b = -3*b - 5*i + 33. Let q(p) be the third derivative of -p**4\/24 - p**3\/6 - 17*p**2 + 26*p. What is q(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k - 13. Let l be j(-8). Which is the smallest value? (a) -0.4 (b) -7 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(65)*2)\/sqrt(5).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2. Let y(c) = 22*c + 176. Determine y(p(b)).\nAnswer: 22*b**2 + 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(4\/(-10))*16\/(-10). Suppose -18*s + 13*s - 215 = 0. Let z = s + 47. Solve -y*k - k - p + 5 = 0, -2*p = -z*k + 18 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*0.5679573.\nAnswer: 1.1359146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/15400122 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-52))\/(27\/54).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -4*n - 374. Suppose 3*c + 121 = -83. Let m = n - c. Is m less than or equal to -2\/51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 83 + 67 = 0. Let q(l) be the first derivative of -3*l**2\/2 - l - 3. Let f be q(-7). Calculate the greatest common factor of f and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37662.2058 - 37666. Let w = 3.8 + m. What is w rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6 + 0. Let r = a - -4.6. Let l = -0.05 + -1.95. What is the nearest to -0.1 in r, l, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -139.9 in -5, -1\/5, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -83*p**4 + p**2 + p**3 + 82*p**4 - 2*p**2 + 0*p**2 in the form d*p**4 + z + t*p**3 + q*p + v*p**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*34\/(-714)*70\/(-5).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33 + 103323?\nAnswer: 103230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-48))\/((-3)\/162*-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + t - 14 = z, 4*t - 3*z = -38 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -6\/14059 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 12. Let u be 2\/(2\/4*-1). Sort m, u, 5 in increasing order.\nAnswer: u, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*b - 132*b = -20*b + 1273 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-15) + (-282)\/(-10). Let l = 21 - -49. Calculate the highest common factor of l and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/169 and 59\/52.\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45621737?\nAnswer: 7, 6517391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h + 19. Let n be o(-6). Let w be 12\/20 + (-12)\/n. Which is the smallest value? (a) 0 (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*u - 7 + 7)*(-49*u + 49*u - 9*u**2) + (2*u - 2*u**2 - 2*u)*(2*u + 2*u - 3*u).\nAnswer: -101*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4151.558 rounded to the nearest 10?\nAnswer: 4150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 25 = 0, -34 + 8 = g + 4*j. Let m = -32 - -89. What is the units digit of (g - -6) + 1 + m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/2 + 35797*o**2\/2 + 71591*o\/2 + 35795\/2.\nAnswer: (o + 1)**2*(o + 35795)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -308187, -5, 1 in ascending order.\nAnswer: -308187, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/((-64)\/(-2)))\/(15\/(-8)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and -2576573 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 648275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 3125.\nAnswer: 6250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-369340)\/(-90) + 0\/1. Let k = t - 4111. Calculate the common denominator of -17\/6 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**3 - 3*s + 3. Let v(n) = -n + 1. Let h = 10 - 5. Suppose 0 = h*i - 4*t + 17, 2*t - 10 = 3*i - 1. Determine i*q(k) + 3*v(k).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -2492.542646 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 39, 2\/3, -1\/2, 0.2, 1, -3\/13?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1132133 (base 4) in base 16?\nAnswer: 179f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-124532)\/(-30480) + 2\/3. Let l be 1192\/762 - (-2)\/(-3). Let f = n + l. Calculate the common denominator of f and 75\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1403 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 3*l + 1, 0 = 5*l - 72*w + 68*w + 7 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6340.\nAnswer: 2, 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 21438168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**2)**(-12\/13))**(-28)\/((z*(z**(1\/2)\/z)\/z)\/z**(-4\/7)*z**(1\/3)*z*z**(-7)) assuming z is positive.\nAnswer: z**(31279\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 596, 2488, 5642, 10058, 15736?\n\"Answer: 631*f**2 - f - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*h + 13*h + h**3 - 34*h + 19 - 3*h**2.\nAnswer: h**3 - 3*h**2 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39*v**3 - 17 + 16 - 31*v**2 - 20*v**2 wrt v.\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -7. Suppose q*c = -h + 38 + 13, 4*h - 160 = 3*c. Is 16 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1696*b**2*u**5 + 683*b**2 + 2*u wrt u?\nAnswer: -33920*b**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 215718722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -717.6 and -13?\nAnswer: 9328.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 4*p = 105, 58*r - 4*r + 5*p - 42 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 3*w + 0*w)*(0*w + 5*w - 4*w).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1752\/(-1606))\/((-4)\/(-66)). Let w(b) = -2*b + 34. Calculate w(y).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8704209*c**5 - 2*c**2 + 9*c - 1620 wrt c?\nAnswer: 522252540*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 11*u + 45 = 0. Suppose -4*c = u*l - 30562, 4*l = 5*c + 7248 + 17177. Round l to the nearest 100.\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 9:00 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/4)\/(2\/4). Let k = -19 + 24. Suppose -1 = -3*g + 4*f, 0*f = -k*g - 2*f - 7. Are g and d equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17, 45, 111, 233, 429, 717, 1115, 1641?\n\"Answer: 3*p**3 + p**2 + 4*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 72 + -76. Let i be -45 - 4\/(-2) - 4\/o. Let m be (2\/(-2))\/(((-12)\/(-4))\/i). Solve -2*z + m = 3*z + l, -6 = 5*z - 4*l for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.03, 0.2526, -1, -4, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/6930 and -1\/42923925.\nAnswer: 600934950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - -3158?\nAnswer: 3157.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4111963 + 568037 = -4*w. What is w rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + s + 4 = -5*v, -2*s + 6 = 5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 3*k**2 - 4*k + 5. Calculate u(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.02515204 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 31811, 63676, 95537, 127394?\n\"Answer: -2*z**2 + 31871*z - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l. Let t(a) = -27*a - 3. Let g(p) = 18*c(p) - t(p). What is g(-2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.48 - -0.28. Which is the third smallest value? (a) y (b) -0.3 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, b: 1, q: 1, s: 2, u: 2, y: 1}. What is prob of sequence cqs?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1023110 + 200?\nAnswer: -1022610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000453 rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k - 3 = -7*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1825328 >= -1825219?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 18*c - 14. Calculate u(9).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(1 - (-14)\/35).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*x = -147, -4*j - 4*x = -3*x - 202. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w - 5*w**2 + 3*w**2 - 2 - w**3 - 2*w**2. Let v be (-2)\/(-1)*(-1)\/2*4. Is f(v) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -534 divided by 5.\nAnswer: -534\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -443128, -886276, -1329432, -1772596?\n\"Answer: -4*c**2 - 443136*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30315 is divided by 29987.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4551 is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 255 + -256.27. Let k = -0.07 - u. Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 16*s + 14*s)*(-376*s - 531*s - 378*s).\nAnswer: -34695*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 567.6123 to the nearest ten.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of h**7\/70 - h**5\/10 + h**3\/2 + 6*h**2 - 6*h. Let y(w) be the first derivative of f(w). Factor y(v).\nAnswer: 3*(v - 1)**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 9*v**2 - 293*v + 560. Does 26 divide k(56)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6093 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 1\/8 (c) -2 (d) -0.026\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 5*b - 4*g - 76, b - 5*g = 11. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185800537 greater than or equal to 185800536?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence krr when three letters picked without replacement from {e: 5, k: 4, r: 7}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 290 + -286. Let a = 664\/2907 + -2\/323. Which is greater: k or a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 minus -127200?\nAnswer: 127199.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 180305 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 q when two letters picked without replacement from gffqffffffffffffgfgf.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 78 = -2*w + 6*w, 3*w = -c - 58. Let m = -13 - w. Suppose -m*x + 189 + 489 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 157334*d - 157389*d - 1005 - 810 for d.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 4581. Let j(a) = a. Give n(j(s)).\nAnswer: s**2 + 4581","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4904*t + 83386. What is q(-17)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 4 + 7*t**2 + 4.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + -0.3. Let t = 36916 - 36181.88. Let c = 734 - t. What is the second smallest value in c, m, 0, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51712879104 - 18533.\nAnswer: -51712897637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*a - 8*a + 13*a - 2)*(2 + 2*a - 2) - 12*a**2 - 10*a**2 + 12*a**2 to p*a**2 + h + q*a and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 648 and 280.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 4*o = -5*w - 1340, 3*o - 2*w - 809 = 0. What is the remainder when o is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - -0.0464.\nAnswer: -0.4536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1816 - -1889. What is the remainder when 582 is divided by d?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 15*h**2 + 155*h + 176. What is r(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*s - 8, z - 3*z = -5*s + 8. Let w = -14.5 - -10. Let i = w - -5. Which is the biggest value? (a) i (b) z (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wi when two letters picked without replacement from {l: 1, w: 3, u: 3, i: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.8689 times -0.29\nAnswer: 0.251981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (3 + sqrt(45))**2 + -2*(sqrt(5) + 0).\nAnswer: 17*sqrt(5) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*x**3 - 8*x + 8*x + (-1 - x + 1)*(0*x**2 + 2*x**2 + 0*x**2) to z*x + q*x**2 + u*x**3 + a and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 - 1004*o**2 - 2482816*o + 2727467264.\nAnswer: (o - 1304)**2*(o + 1604)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-m + 4*m - m)*(-1 + 5 - 1) - 3*m - 1 - m + 2*m)*(-5*m - 12 + 12).\nAnswer: -20*m**2 + 5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 606.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y. Suppose -g + 13 = 5*a, 5 - 1 = 2*a. Let l(i) be the third derivative of -1\/12*i**4 - i**2 + 0*i**g + 0*i + 0. What is l(b(r))?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -10. Let n be i\/((-4)\/4)*0. Suppose 2*y - v = y + 22, y + 4*v - 7 = n. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3409, 3547, 3701, 3871, 4057, 4259, 4477?\nAnswer: 4711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 1 = 3*w + 11, 10 = 2*w - 2*b. Let q be 5\/(w + 5\/2). Solve 3*j = -5*m + 3, q = 4*j - 2*j + 4*m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1111)\/66*(-9)\/30 - 4 and -35\/5706?\nAnswer: 57060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 11011?\nAnswer: -100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 279898860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 6:24 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1463\/(-42))\/(-19) - (-16)\/(-12).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 647 - 614.9. Round a to zero dps.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/55, -5, 0, -127?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2897 times 4089?\nAnswer: -11845833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 6822?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 411 (base 12) to base 15.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1145541 - 22?\nAnswer: -1145563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**3 + 0*s**3 + s**4 + (-2*s + 4 - 4)*(s**3 + 3*s**3 - 5*s**3) - 2*s**3 + 2*s**3 - s**4 + 4*s + s**4 - 4*s - s**4 - 2 + s**3 - 14*s**2 + 14*s**2.\nAnswer: 2*s**4 + s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/10 and 45\/34123.\nAnswer: 341230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/3509 and 48\/277211.\nAnswer: 277211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/(-9))\/((176\/1072269)\/8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 37*k + 67*k - 436 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3\/7 - 1296*y\/7 + 10368\/7.\nAnswer: 3*(y - 12)**2*(y + 24)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1261477 (base 8) in base 13?\nAnswer: -c4937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 930569 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 670\/(-201)*(-78)\/10.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*t - t - 26, -t - 56 = 5*m. Let s be 0\/(5 + 0) + 0 + m. Let g be -2 - (15 - 4) - -1. Which is greater: g or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p - 28921*p**3 + 28923*p**3 + 2*p.\nAnswer: 2*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eleven halves of a week?\nAnswer: 924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 7823 - 343. Suppose -4*s + 732 = -w. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -1\/2, -2\/13, 0.2, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/(-28) - (3\/4 + -1)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-17)\/(-255) - (-174)\/90. Suppose -b*i = 3*m, 4*m + 12 = 7*m - 2*i. Factor m*c - 4\/3 - 2\/3*c**2.\nAnswer: -2*(c - 2)*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, 5\/11, -0.6133?\nAnswer: -0.6133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -38*a**3 + a**2 + 22*a**3 + 15*a**3. Let w(i) = i**5 - 3*i**3 + 3*i**2 + 20*i. Let y(d) = 3*f(d) - w(d). What is the second derivative of y(l) wrt l?\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -1\/140*g**7 + 0*g**4 + 1\/40*g**6 + 0*g + 0*g**3 + g**2 + 0 - 1\/40*g**5. Factor w(u).\nAnswer: -3*u**2*(u - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 8\/17, 2, -4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, a: 3}. What is prob of picking 2 k and 1 a?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(3\/29)*(((a\/((a\/a**(-3\/26))\/a))\/a)\/a)\/a*a**(-4\/35)\/(a\/a**(-1\/5)) assuming a is positive.\nAnswer: a**(-61389\/26390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 2*l = 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 8*z - 4 = 0. Let u = 117.7 + -19.7. Let g = 97 - u. What is the nearest to z in 0.5, g, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (104\/117 + -1)*(2 + 1). Let m be (-4)\/6 - (-8)\/21. Which is the closest to w? (a) m (b) -0.4 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 17430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 168b54 (base 12) in base 16?\nAnswer: 5ee70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1088 and 157504.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1135, -2, -218, 2 in increasing order.\nAnswer: -1135, -218, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7090000 rounded to the nearest 100000?\nAnswer: 7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/12 - 212\/(-16). Let t(h) = h**3 + 17*h**2 + 30*h. Let u be t(-15). Suppose u = -4*x - d + 17. Is -2\/51 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 800*d - 499?\nAnswer: 800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9571928 is divided by 2392980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -54 + 296*k**2 + 118*k**2 - 60*k**2 - 51 + 31 wrt k?\nAnswer: 708*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2966 divided by 1?\nAnswer: 2966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403 = -5*y - 42. Let r = 254 - y. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 - -19.8. Let p = a + -19.999835. What is p rounded to 5 dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*d + 0*d + 162*d**3 - 186*d**3 + 3*d - 243*d**3 as c*d**2 + a + p*d + t*d**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 1)*(38 + 1073*q - 1072*q + 0).\nAnswer: 3*q + 114","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -17. Let u = w - -24. Suppose 48 = 37*h + 8*h - 29*h. What is the remainder when u is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from veysx. Give prob of sequence sve.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/1 + 2 - 2. Let p(m) = m**2 + 3*m + 1. Let a be p(-4). Let i be (-12)\/45*10\/(-4). Put a, l, i in descending order.\nAnswer: a, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 1, 12 in decreasing order.\nAnswer: 12, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 558024791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -4\/3*m**3 - 1296*m - 82 - 72*m**2. Let x(g) = 0. What is g?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 264108921?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34722 = 4*s - l - l, -s + 4*l = 8684. Round s to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26.2 and 385560.\nAnswer: -10101672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -230 - -233. Calculate the highest common factor of v and 60.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 258779.\nAnswer: -3\/258779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 5:53 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46 + 67. Calculate the remainder when 60 is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 623*r + 12405 = 626*r. List the prime factors of r.\nAnswer: 5, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4056958307 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 216175789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**4\/2 + 1737*i**3 - 3423*i**2\/2 - 27738*i - 34710 = 0. Calculate i.\nAnswer: -2, 5, 1157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r - 2*r - 128*r**3 - 143*r**3 + 560*r**3 - 161*r**3 - 129*r**3.\nAnswer: -r**3 - 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(3)*-3*3)**2.\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-8)\/(-3*(-1)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103188529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59 - 62. Let v(r) be the second derivative of -r**3\/6 + r**2 - 5*r. Let z(p) = -p + 1. Give d*z(l) + 2*v(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 490 = 14*r - 331 + 247 for r.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in 28, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 16*l**2 - 9*l - 12. Let v(d) = -10*d - 5 - 4 + 16*d**2 - 2 + d**3. Let a(n) = 6*m(n) - 7*v(n). Is a(-17) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -1127*z**2 + 6*z + 19. Let o(y) = 2248*y**2 - 11*y - 32. What is 5*m(a) + 3*o(a)?\nAnswer: 1109*a**2 - 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 229, 455, 671, 871, 1049?\nAnswer: 1199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -10118 less than -10116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.54669 years in months?\nAnswer: 834.56028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*l + 29 + 31 = -16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*j**5 + 10*j**4 - 12*j**5 + 115*j + 6*j**4 - 5*j**4 wrt j.\nAnswer: -100*j**3 + 132*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -l - 5, 7*i + 3*l + 9 = 4*i. Suppose 12*g = 13*g + i. Put 7, 4, g in ascending order.\nAnswer: g, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/99)\/(14\/77)*42\/(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 26\/65 - (94\/(-5))\/(-2). Let j(h) = -h. Let p be j(7). Which is smaller: p or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.70241 litres in millilitres?\nAnswer: 49702.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -12 - 5 - 3*h + 14. Let c be (21 + 0 - 1)*1. Suppose c = -5*o + i + 4*i, o + 6 = 2*i. Give y(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 36.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (288\/336)\/(-6*(-4)\/462) and 29\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 25?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v**2 + 1072*v - 780. Let z(u) = -u**2 - 2*u + 24. Let o(i) = -2*d(i) - 6*z(i). Factor o(l).\nAnswer: 4*(l - 177)*(3*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/10*(-170)\/68?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 - -54. Suppose -2*l - 3 = 5*b + 2*l, -b - 4*l + i = 0. Put 4, b, -11 in descending order.\nAnswer: 4, b, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 7:06 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 44 + 20 = 0. Suppose -9*c = -3*c - n. Let m(z) = z**3 + 8*z**2 - 8*z + 12. Let q be m(-9). Solve w = c*w - q for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a. Let n(j) = 16*j - 452 + 227 + 225. What is p(n(q))?\nAnswer: -32*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -464833\/325 > -1431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42590?\nAnswer: 2, 5, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 6*x**2 + 2851*x + 2361. Let t(i) = i**2 + 561*i + 472. Let g(b) = -11*t(b) + 2*w(b). Factor g(p).\nAnswer: (p - 470)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79881 is divided by 726.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 447.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 5*d + 2215, 24*h = 26*h + 5*d + 874. Let b = h - -469. Solve -18*l + 4 = -b*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 909, 1822, 2735?\n\"Answer: 913*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172861 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -725 - -457. Let b = p - -267.99827. What is b rounded to 4 decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*y - 43 - 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/10)\/((-4)\/(-24))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78432 and 384.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.4 - 2.4. Let n be 4\/(-6) - 8\/(-30). Sort -2, n, p in decreasing order.\nAnswer: p, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 q when two letters picked without replacement from ytykyqtqqyyydyyyydd.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 51*h**3 + 407*h**2 + 28*h + 293. Give m(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -202, -414, -746, -1180, -1698, -2282, -2914?\nAnswer: -3576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 301\/1505 + 151018\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/3 - 490*c**2\/9 + 9922*c\/9 + 3362\/9.\nAnswer: 2*(c - 41)**2*(3*c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (9 - 1)) + 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r + 844 - 908 = 0. Find m, given that 0 - 16\/7*m - 12\/7*m**3 + 24\/7*m**2 + 2\/7*m**r = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2376\/11*9\/63*(-28)\/(-6). Solve j = 31*h - 11 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 427 - (1 - (8 - 5))?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 4. Let f(t) = t**3 - 5*t**2 + 2*t - 3. Suppose -2*k - 3*k = -5. Let x(i) = -1. Let d(a) = k*f(a) - 4*x(a). Determine d(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 99642b - -4?\nAnswer: 996433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 439 (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 20 - 23*u**2 + 23*u - 1 - 2. Let n(g) = 10*g - 148. Let x be n(15). Let a(r) = -23*r - x - 8*r**2 + 1 + 0 + 31*r + 7. What is -17*a(m) + 6*t(m)?\nAnswer: -2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pk when two letters picked without replacement from mmqbqqqbpqkpqgqg.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/((10\/4)\/5). Suppose -5*l + 10*l = 2*a - 265, -3*l - 15 = 0. Let m be (0 - 2\/4)*a\/b. Solve 3*c = 2*x + m, c = 2*x - x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-7)\/294*1*-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 62 - 62.000023. What is q rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 579031 is divided by 101?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 + 292 = w. Let r = w + -243. Let c = 312 - r. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43382658 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 32398293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (303808\/2506416)\/(-2*(-1)\/(-45)).\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6802662 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -6*k**4 - 6*k**3 - 9*k**2 + 6*k. Let a(c) = -7*c**4 - 5*c**3 - 9*c**2 + 5*c. Let x(z) = -6*a(z) + 5*u(z). What is the third derivative of x(y) wrt y?\nAnswer: 288*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.2, 0.02, -9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21323? (a) 17 (b) 1\/2 (c) 6\/11 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -206406?\nAnswer: 206410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2154666*o**3 - 757222*o**3 + 2598343*o**3 + 1790377*o**3.\nAnswer: 5786164*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2933*m - 1203*m + 497293 - 187420 = -252623 for m.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1592 + 75 - 77*y - 5*y - 31*y.\nAnswer: -113*y - 1517","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*q + 1025 = -6*q. Suppose 8*p + q - 65 = 0. Solve v + 1 = -2*v - 4*i, -v - p*i - 7 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -949828.\nAnswer: -1\/949828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + f - 36. Which is smaller: -0.1 or f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 272223 and 4959?\nAnswer: 5172237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 32 - 7cf8e?\nAnswer: -7cf5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, 5, 1.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1121 or 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n + 6. Let h(i) = 2*i**2 + i - 2. Let b be h(2). Let r be 0\/(-1)*4\/b. List the prime factors of w(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/525 + (-64)\/275?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014976218291 to six decimal places.\nAnswer: -0.014976","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 3*u. Suppose 2*k + 8 = -2*j, 2*k - 4 + 12 = 4*j. Let g(r) = -r**2 + 4*r. Give k*v(a) + 3*g(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5\/3)\/q**(-8)*((q**0\/q)\/q)\/(q*q*q**(-4)\/q))**(-13) assuming q is positive.\nAnswer: q**(-286\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(2673) - (sqrt(2673) - 6*(sqrt(2673) - sqrt(2673)*-2))) + sqrt(2673) + sqrt(2673))\/((sqrt(132)*-1*5)\/sqrt(12)))**2.\nAnswer: 97200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -47930911 > -47930910?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -52 divided by -20\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 2*l**2 + 104*l - 106. Determine d(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*s**2 - 293*s + 9439 wrt s.\nAnswer: 8*s - 293","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471 is divided by 215?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 2*o - 4*o = -4*o + 12, 12 = -4*m + o for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6569785271?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -3*i**4 + 5121*i**3 + 1396725*i**2 - 2808801*i + 1406958 = 0.\nAnswer: -241, 1, 1946","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 327531, 327545, 327567, 327597?\nAnswer: 327635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 194098?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8454*l + 8249*l - 410 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of 729*q**8\/112 + 324*q**7\/35 + 27*q**6\/5 + 8*q**5\/5 + 2*q**4\/9 - 9*q**2. Factor b(h).\nAnswer: h*(9*h + 2)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1117 + 1119. Solve 0 = 4*u + 3*q - 8, -q - q = n*u - 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1266 - 619. Let h = -648 + u. Which is the nearest to 0.1? (a) -2 (b) h (c) 0.1 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1056\/5 - 217. Let i be 0 - 256\/(-130) - 2. Let z = 418\/65 + i. Calculate the common denominator of d and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*i**5 + 0*i**5 + 2*i**5 + (2 + 2 - 5)*(0*i**5 + i**5 - 2*i**5) + (i**2 - i**2 - 2*i**2)*(-5*i**3 + 4*i**3 + 0*i**3) + 4*i**5 - 3*i**5 - 2*i**5.\nAnswer: -3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**2 - 5887 - 5*t**2 - 5881 + 11768.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 11*j - 5 - 2*j - 8*j. Let l be k(6). Let q be 4\/6 + (-2)\/(-15). What is the third smallest value in 2\/5, l, -5\/2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420a (base 14) in base 6?\nAnswer: 124402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 + 2*p**3 - 3*p**3 + (0*p + 0*p + p**2)*(-2*p - 1 + 1) - 2*p**3 + p**3 + 0*p**3 - 2 - p**3 + 2 - p**3 + 2*p**3 - 2*p**3)*(0*p - 2*p - 3*p).\nAnswer: 20*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y\/y**13*y)\/y*y**(-1)\/y assuming y is positive.\nAnswer: y**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9360577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 4*i. Calculate the remainder when 25 is divided by 1*9 - i\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -7*n**6\/33 - 2*n**5\/11 + n**4\/11 + 5. Factor d(p).\nAnswer: -2*p**3*(p + 1)*(7*p - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2365 - -2364.8. Let l = 0.2 - -0.8. Which is the third biggest value? (a) z (b) -4 (c) l (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17632 plus -102974625?\nAnswer: -102956993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/13 (b) 0.7 (c) 5 (d) 2 (e) 392 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3170 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*d**3 - 139*d**3 + 286*d**3.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*c**5 - 6 + 6 + (2*c - 2*c - 2*c)*(c**4 - 4*c**4 + 2*c**4) + c**5 - c**5 + 4*c**5.\nAnswer: 18*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2. Let l(y) = 83*y - 10. Let g(u) = -55*u + 19. Let z(v) = 165*v - 55. Let w(p) = -17*g(p) - 6*z(p). Let x(d) = -5*l(d) - 7*w(d). Give i(x(a)).\nAnswer: 900*a**2 - 60*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 21*h**2 - 97*h + 2044. Give d(21).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3, 5*j + 3*t - 7*t = -112. Let p = j + 24. Factor 3*x**2 - p*x**2 - 3*x + 5*x + 3*x**2.\nAnswer: 2*x*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 7 + 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -20f + -1203?\nAnswer: -1412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**3\/3 + 4*z. Let g(u) = -5*u**2. What is g(r(a))?\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 972*a**2 - a + 4. Let c(f) = -f**3 + 5*f**2 - 7*f + 9. Let z be c(4). Let b be r(z). Suppose -7*v - 3050 = -b. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63891.\nAnswer: 3, 31, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -15767*b. Let n(d) = 2*d. Give q(n(a)).\nAnswer: -31534*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 12:38 PM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31389*w + 31384*w - 34*w**2 - 62773*w.\nAnswer: -34*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-28)\/12 + 2)\/((-6)\/234). Suppose d + 2*n - 6 = 0, 3*d = -t*n + 9*n + 16. Solve -5*m = 4*j - 20, m - d*j + 20 = -0*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q + 3. Let f be (-3)\/(-9) - (-14)\/(-6). Let x be l(f). Put 2, x, 4 in increasing order.\nAnswer: x, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 12 = -q. Suppose 2*w - 13 = -q*y - 2*y, 0 = 5*y - 5. Suppose w*m + m = 5. What is the remainder when m is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j + 22. Let i be c(7). Let d(u) = u**2 - 9*u + 18. Let a be d(i). Suppose l + 3*r - a = 99, l - 3*r = 97. What are the prime factors of l?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*w + 223792 = 84*w + 2*t, 223798 = 4*w - t. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s + 36*s**2 - 72*s**2 + 43*s**2 + s**3 - 5. Let x be 6\/((-6)\/(-3) - 3). Give b(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 792\/(-2430) + (-2)\/(-5). What is the third biggest value in h, 4, -0.01, -0.4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 140576 - 140500.431. Round y to the nearest integer.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 10 - 146*v**3.\nAnswer: -146*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(176) - sqrt(176)) + (sqrt(44) + -1 - sqrt(11)) - ((sqrt(77)*1)\/sqrt(7) + -3).\nAnswer: -8*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 3:19 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -4.5. Let g = 3 - 1. Let p be g*(-1)\/2*-5. What is the third biggest value in p, -1, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 6, 5*y + 106 - 108 = f. Solve 3*t - 9 = y, 3*r + 2*t + 2 = 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 947 (b) 21 (c) -39\/23 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -99 - -29. Let k = 13.8 + t. What is k rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 826924228 to the nearest integer?\nAnswer: 28756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 49*t + 53 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -o**4\/2 + 4*o**3 - 11*o**2 + 12*o + 43. Factor l(x).\nAnswer: -2*(x - 3)*(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 6*n**2 - 45*n + 23. What is the units digit of j(18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p. Let c(x) = -119*x**2 - 3*x. Determine c(z(h)).\nAnswer: -119*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + i - 1. Let z(j) = -4*j**2 - 11*j + 8. Let c(f) = 6*x(f) + z(f). Let u be c(7). Calculate the greatest common divisor of u and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 + 59. Is (-1175)\/(-4) - (0 - s\/(-4)) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 5*n - 17)*(-n + 2 - 2)*(-98 - 2417 + 536).\nAnswer: -9895*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-9)*(-6)\/(-58)*601\/(-1202).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4975865644.\nAnswer: 2, 1243966411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3\/(i\/i**(-4)))**27*(i*(i**(-1)*i)\/i)**(-6\/19)*((i**(-1\/6)*i*i)\/i*i*i)\/((i**(2\/11)\/i)\/i*i) assuming i is positive.\nAnswer: i**(-3323\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110 - -11011001110001101100101?\nAnswer: 11011001110001101111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2 = 2*o. Let r be -2 + 2 - -1 - (-4 - o). Solve -5*a = r*v + 6, 4*a - v = 2*v - 11 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (3 - 4 - 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*n**2 + 203348*n + 33892.\nAnswer: -4*(n - 8473)*(6*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1468 - 3*l**2 + 2*l**2 - l - 2934 - 209*l**4 + 1468 in the form a*l**2 + p + u*l**4 + z*l + q*l**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 463044 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 233*f + 240*f - 955*f + 245*f + 238*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*w**6 - 228697*w**4 - w**3 + 26*w**2 + 36*w - 2154 wrt w?\nAnswer: -480*w**3 - 5488728*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 8:43 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35963 is divided by 1383?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4*y + 3)*(-275*y + 275*y - 8*y**3) + (-y**2 + y**2 - y**3)*(-y + 3*y - y).\nAnswer: 31*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/(-36) - ((-622)\/6 - 1). Let k be 6*(-4 - w\/(-24)). Solve -u = -7 + k for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-6) - ((-2)\/1 + 1). Let l = -3 + -1. Which is the biggest value? (a) q (b) l (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 94*o + 2063. Let h be c(-22). What is the closest to 2\/3 in h, 2\/7, 1\/11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96162 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 13, 1, -8.019 in increasing order.\nAnswer: -8.019, 1, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, n: 4, c: 5}. What is prob of picking 2 c?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.654 - -4.154. Let n = 2\/1355 + 2676\/23035. Which is the second biggest value? (a) 1 (b) o (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 5:04 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -4 + 2 + 3 - -7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7728 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 8:02 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3168 - 373.143335.\nAnswer: -3541.143335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b**2 - 6*b**2 - 6*b**2)*(-3*b + 0*b + 4*b)*(-221 - 221 + 103).\nAnswer: 2034*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 17\/5 - 4\/10. Let f be 2*-3*20\/(-6). Suppose -f = 4*a + a + 4*m, -3*a = -z*m - 15. Let t(j) = j - 3. Give t(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 927*q + 9273. Give p(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -387 + 390. Suppose 5*a - 3058 + 617 = -2*g, -v = -g. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 811230*5.\nAnswer: 4056150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18269 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 4*i - 80. What is the remainder when 37 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 547936242 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 212774, 10 in ascending order.\nAnswer: 4, 5, 10, 212774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from grvgrvwgvggr. Give prob of picking 2 g and 1 w.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gd when two letters picked without replacement from {c: 4, d: 7, g: 2}?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5515, 21748, 48741, 86494, 135007, 194280?\nAnswer: 264313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-144)\/(-192)*(-11)\/((-528)\/496)\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/580 and -43\/1706.\nAnswer: 494740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**6\/120 + a**5\/20 - a**4\/6 + a**3\/3 + 2*a**2. Let z be y(-4). Solve z*t - 16 = -2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.043 + -3.443. Let u = 3.8 + q. What is the closest to 0 in 3, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1224 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2537 and 21543?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*f + 3*f - 5*f)*(0*f**2 - 5*f**2 - 2*f**2) + (-3*f**2 + 4*f**2 - 3*f**2)*(0*f + 4*f - 5*f))*(-2 + 5 + 0).\nAnswer: -15*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -457\/21 + 64\/3. Let g = -29\/35 - q. Let z = -7 + 4. Which is the nearest to g? (a) z (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 138368\/47 - (1 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2457604000 rounded to the nearest one million?\nAnswer: -2458000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13324 and 22?\nAnswer: 146564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c**2 + 6 - 4*c + 237*c**3 - 236*c**3 + 8*c**2 + 16*c + 8*c**2. Calculate u(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 4871 = 1060. Suppose 2*u + 107 = y. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.08, 4, -1\/2482, -3\/11, 0.2?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 6 - 16 + 9 - v**2 - 7*v + 8. What is u(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3*s - 2*n - 1515, -2*s = 2*n - 1008. Let w = s - 502. Solve -3*a - 5*k = -w, 3*a - 4 = 6*a - 4*k for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d - 4. Let y be l(-3). Suppose -4*q = -y*j + 56, -4*q = 5*j + q - 20. What is the smallest common multiple of 18 and j?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**(-13)*(i**(1\/7)*i)\/i**4 assuming i is positive.\nAnswer: i**(71\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -61.482 and -14.77?\nAnswer: 46.712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 160 divided by -40\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -3*r - 15 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*n = -305, 0 = d + n + 2*n - 98. List the prime factors of d.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2 + g + 14107. Is c(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2702904, 2702900, 2702894, 2702886?\nAnswer: 2702876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 543, 718, 895, 1074, 1255, 1438, 1623?\nAnswer: 1810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59 + -18. What are the prime factors of a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -2*k**2 + 3*k + 1. Let f be z(-4). Let l = 35 - f. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.27 - -0.03. Let z = 4.3 - f. Let k = 355\/238 + -41\/34. What is the nearest to k in 6\/5, z, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23484 divided by 206\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**4\/12 + c**2 - 2*c + 15. Let s = 7 + -7. Determine a(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 18410.\nAnswer: 73640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 235604 and -20?\nAnswer: 235624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9 + -6)\/(5\/25). Let k be 10\/g + (-34)\/(-30) + 4. Solve k*h - 21 + 1 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2700\/(-1320)*(-4356)\/110.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16 - (-1 - -2)*1. Let l be 226\/3 - 1\/3. Calculate the greatest common divisor of l and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -210.1.\nAnswer: 207.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4815*w + 1652*w + 1571*w + 1622*w.\nAnswer: 30*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/4 and 11\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5ca + 2883?\nAnswer: 22b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 230047067 to the power of 1\/2, to the nearest integer?\nAnswer: 15167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 12:55 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 363 and -74623067498.\nAnswer: -74623067135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -12?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c**3 + 36*c**2 + 2*c + 17. Let i be f(-9). Sort 3, 1, -13, -3, i in decreasing order.\nAnswer: 3, 1, i, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42014087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(-208)*12*11960\/195?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5\/3)*v*v*v\/(v\/v**(-1\/6))*v)**(-1\/19)*((v*v**(1\/5))**18)**(-4\/19) assuming v is positive.\nAnswer: v**(-2627\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2728?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzk when three letters picked without replacement from kzzzkkzz.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 7:46 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-628)\/3140)\/((-3)\/(-55))?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2953139454 to the power of 1\/2, to the nearest integer?\nAnswer: 54343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -10*z + 1. What is the remainder when d(-4) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -3*l**5\/10 - l**2\/2 + 6*l. What is the first derivative of a(u) wrt u?\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -161*(125550\/2139)\/(-90)\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101100111 - 101?\nAnswer: -1101101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.34 - 0.06. Let r = -11.75 - 0.25. Let m = r + 12.1. Which is the closest to m? (a) l (b) 1\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-6) + (-8)\/(-6). Solve -m + 3 = -s for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6686, 13371, 20056, 26741, 33426?\n\"Answer: 6685*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -67 times 0.01906\nAnswer: -1.27702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**5 + 2*d**4 + d**3 - 2*d**2.\nAnswer: -d**2*(d - 2)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-3*6*sqrt(66)*-1)\/(3*sqrt(24) - sqrt(6)*-1*-1).\nAnswer: 54*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -3*r - 6*o + 9, 3 = -3*o. Let a be -4 + r - (0 - 4). Let d = -5 - -19. Solve 2*p + 26 = a*s, 4*s + d = -3*p + 5*s for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 235*i**4 - 1459*i**2. Let p(k) = -118*k**4 + 732*k**2. Let s(x) = -6*h(x) - 11*p(x). Find the third derivative of s(o) wrt o.\nAnswer: -2688*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*y + 13*y**2 - 4*y**2 - 194*y + 13*y**2.\nAnswer: 22*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, p: 1, i: 1, k: 2}. Give prob of picking 2 k and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + (-388)\/340)\/((-24)\/(-80))?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7, -2.2, -1, -0.08589 in ascending order.\nAnswer: -7, -3, -2.2, -1, -0.08589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 16 = 17 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 34\/(-8) - (-6)\/(-8). Let w = 5 + a. Suppose -4*b + 2 + 22 = w. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17736 minus 3728911346?\nAnswer: -3728893610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)*2*-5)\/sqrt(5).\nAnswer: -10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + z = -238. What is the greatest common divisor of 187 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 281 and -46.\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 6:46 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 28 + 12 - 487*o**2 - 534*o**2 + 10 to r*o**2 + y*o + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(-1\/10)))\/(c**(10\/3)*c*c) assuming c is positive.\nAnswer: c**(-157\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/359, 0.1, -0.0036?\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -177.5\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 49*v - 29. Let o(b) = b**2 + b + 7. Determine -j(m) - 4*o(m).\nAnswer: -3*m**2 + 45*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 13*d**2 - 14*d + 14. What is the remainder when 55 is divided by o(14)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2 = -18. Let o = 3 - w. Is (-2)\/(-4) - 105\/o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 5 - -4)\/2. Suppose -j = 2*l - 5*l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*b - 60*b + 2380 = b for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4\/4 + 3*k**3\/2 + 3*k**2\/4.\nAnswer: 3*k**2*(k + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 17.0000006. Round n to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-1.77.\nAnswer: 0.531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from doggggvknggoggd. What is prob of picking 1 n, 1 d, 1 g, and 1 k?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.3732 - 0.5\nAnswer: -0.8732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/5*(1 - -4). Let r be ((-3)\/s)\/(3\/(-2)). Let v = 16 - 20. Which is the closest to -3? (a) -1 (b) v (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*z + 35 = 0, u + 8 = 2*z - 3. What is the common denominator of 38*(u - (-1925)\/392) and -97\/36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19503?\nAnswer: 3, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157905?\nAnswer: 3, 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 4 + -44 + 56\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 2*h, -6 - 29 = -5*y - 2*h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*l + 1647 = 0, 5*w + 142 - 1781 = -4*l. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*l + 7*l + 8*l**2)*(-5*l**2 + 8*l**2 + 21*l**2 + (0 + 2*l + 0)*(-2*l - 3*l + 4*l)).\nAnswer: 176*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24562.\nAnswer: 2, 12281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + 8\/(400\/(-290)). Let p(a) be the third derivative of -f*a**3 + 9*a**2 + 0 + 3\/40*a**4 + 0*a + 0*a**5 - 1\/200*a**6. Factor p(b).\nAnswer: -3*(b - 1)**2*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*j + 76 = -0*k + 6*k + 18*j + 129, 3*k - 3*j = -33 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1694 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 19, -0.3, -102 in decreasing order.\nAnswer: 19, -0.3, -2, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-2))\/(1\/27). Suppose 22*a - 2646 = 8*a. Calculate the greatest common factor of z and a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and 113931119783?\nAnswer: 113931119779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 11:10 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24*d**3 + 2*d - 2*d + 6*d**3 + 21 wrt d?\nAnswer: -54*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*u**3 - 51*u**2 + 51*u**3 + 130*u**2 - 38*u**2 - 41*u**2.\nAnswer: 137*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 7*f**3 - 6*f**2 - 6*f + 5. Let m(x) = 13*x**3 - 11*x**2 - 11*x + 9. Give -6*m(h) + 11*u(h).\nAnswer: -h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*x + 2*f - 0*f, -3*f + 27 = 5*x. Calculate the lowest common multiple of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 2*k - 1. Suppose -54 = -40*t - 14. Let c(p) = -6*p**2 + 4*p + 144. Let i(f) = t*c(f) - x(f). Differentiate i(j) wrt j.\nAnswer: -14*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5025223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.459 - 0.059. Let z = -5 + n. Let v = z - 0.4. Which is the third biggest value? (a) v (b) 1\/6 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40063 - -40068.9614. Let y = d - -0.0386. Sort -5\/2, 1\/5, y in descending order.\nAnswer: y, 1\/5, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19393 = -8*j + 36151. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 12*i + 882 = 0. Suppose 0 = 101*g - i*g - 15. Solve 0 = -2*v - 0*v + 3*o + 3, -g*v - 4*o - 4 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -339, -776, -1213, -1650, -2087, -2524?\nAnswer: -2961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three sixths of a millennium in months?\nAnswer: 46000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1342967 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10320350 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6379 + -2567?\nAnswer: -8924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i - 2. Let o be h(4). Let 0*m**o - 1 + 4*m**2 - 3*m**2 + m**3 - m = 0. Calculate m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53607736 divided by 589096.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17241 + -17241.016442. What is p rounded to three decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -101 or -199\/2?\nAnswer: -199\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -53368057.1 and 3097.1.\nAnswer: -53364960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -s**3*w**2*x + 34*s**3*w*x + s**3 - s*x - 5*w*x - 2 wrt w.\nAnswer: -2*s**3*w*x + 34*s**3*x - 5*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -40c + -394a3?\nAnswer: -398b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*q + 9*q**2 - 4*q**2 - 5*q**2 + 2*q**2 + q**3 as r*q**2 + z + c*q + f*q**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 5*j - 70975 = 0. Suppose -5*c = 2*z - j, -3*c = 2*z - z - 7097. Round z to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 - 2*m + 2*m)*(178 + 113 + 68).\nAnswer: -718*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 211996776 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1210 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -78.26312?\nAnswer: -75.26312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 1:22 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8854419.\nAnswer: 3, 7, 421639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.01 + 18.1. What is the nearest to -1\/3 in 1\/13, u, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 35599.18 litres?\nAnswer: 35599180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*c - 719*c**3 - 63*c.\nAnswer: -719*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 21*u - 17. Let b be z(20). Sort -11, 2, b, 1 in increasing order.\nAnswer: -11, 1, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -12*l + 15. Let n be p(6). Let i = -23 - n. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -h**4\/4 + 20*h**3\/3 - 11*h**2\/2 - 3*h - 8. What are the prime factors of c(19)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2210301 and 0.1.\nAnswer: 221030.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -9*m - 3. Let h(j) = -35*j + 1688. Determine h(t) - 4*s(t).\nAnswer: t + 1700","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*p**3\/7 + 87897*p**2\/7 + 187554*p\/7 + 22968\/7 = 0. Calculate p.\nAnswer: -2, -3\/23, 1276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2711061 (base 9) in base 7?\nAnswer: 15416164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**2\/2 - 192*o - 6144 = 0. Calculate o.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1727 - 1717. Calculate the lowest common multiple of i and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d. Let g(x) = x**2 + 16*x + 13. Let z(o) = 5*c(o) + g(o). Let s be z(-10). Suppose 3*m = 18 - 3, s*m = 4*v - 121. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + a = -3*a, -3*k + 3*a - 18 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 9*l**2 - 19*l - 5. Is 18 a factor of a(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.43 + 0.83. Let k = 19 + -20. What is the third smallest value in k, 2\/3, o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.68 - 0.7. Sort 0.3, 0.4, q in ascending order.\nAnswer: q, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4016, 5, -3, -2, 2, 0, 19 in ascending order.\nAnswer: -3, -2, 0, 2, 5, 19, 4016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*p - 30 = 3*q, 30 = p + 4*q. Let b be (2 + p\/(-6))*1. What is the nearest to b in -0.5, -1\/3, -0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 - 119*q + 119. What is the tens digit of x(-55)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1972 is divided by 169.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6372, 7068, 7764, 8460?\n\"Answer: 696*o + 5676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 80731 (base 10) in base 14?\nAnswer: 215c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000315988218 rounded to seven decimal places?\nAnswer: 0.000316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -11?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 77 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2044, 13, 4, -1\/9, 1.9?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 5) + 12 - -7?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1134) + sqrt(14) - sqrt(14)) + sqrt(14))\/(sqrt(7) + sqrt(175)*-1 + sqrt(7)) + -2.\nAnswer: -2 + 17*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 16*l - 25. Let t be b(-9). Suppose 2*c = 198 + t. List the prime factors of c.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12101 + 3310331?\nAnswer: 3323032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -7*y**2\/2 - 7*y + 25. Determine i(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 0*s + 4, 5*d + 2*s = 24. Suppose -7*a - 32 = -5*g - d*a, 2*g - 4*a = 24. What are the prime factors of g\/(-18) - 1059\/(-27)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(4) - sqrt(400)*1).\nAnswer: -sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-0.1749501\nAnswer: -0.08747505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = i - 3*i + 83, 0 = -5*i + 5. Solve -3*v - d = 4*a, -a + 4 = -v + 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 63739 = -3*v + 6080, 0 = -3*o + v + 41897. Is o a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 316 = -52. Let z(m) be the first derivative of 8*m**3 + m**2 + m - 2. Let p be z(-1). What is the highest common divisor of s and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -21660*g + 3205713. Determine t(148).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -514 + 13876\/27. Let d = 187.35 + 0.65. Let o = 188 - d. What is the second biggest value in -0.3, j, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 142, -1\/5, 0.4, 1324649 in decreasing order.\nAnswer: 1324649, 142, 0.4, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 1 = 2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-30))\/((8\/(-80))\/(3\/(-39)))?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 0 + 0 + (-g + 0*g + 0*g)*(-3 + 3 - 1))*(104*g + 2*g**4 - 104*g) + (g**4 + 4*g**4 - 3*g**4)*(g + 0*g + 0*g) - 3*g**4 + 3*g**4 + g**5.\nAnswer: 9*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2. Suppose -j = -6*j - 25. Let b = 3 + j. Let y(t) = 6*t + 3*t + 6*t - 14*t + 4. Calculate b*y(u) + 5*c(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4805220\/525 - (-9)\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 3*t - t)*(2*t + 3 - 3 + 2) + (2*t + 3*t - t)*(-31*t + 12*t - 14*t).\nAnswer: -130*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 239911407 and 41544?\nAnswer: 5193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 100\/93 in descending order.\nAnswer: 4, 2, 100\/93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30142801 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.4, -1\/7, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35.7 + -5.7. Let c = x + -30.000368. Round c to five decimal places.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 12*p + 3. Let l be v(0). Suppose 2*z + l = -5, 0 = 4*g + 4*z - 496. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -541249.5 and 0.06?\nAnswer: 541249.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15118581, 30237163, 45355745, 60474327?\nAnswer: 75592909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z + 784536 - 784537 - 6*z.\nAnswer: -3*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/264 and 79\/178620?\nAnswer: 3929640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5352 + -2335?\nAnswer: 3014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -64*n**5\/45 - 20*n**4\/3 - 52*n**3\/9 - 37*n**2\/18 - n\/3 - 312. Solve a(l) = 0.\nAnswer: -3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 424333359 to the nearest integer?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 2964647?\nAnswer: 17787882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -7 + -4 + -1 - -12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 5*f - 3*f)*(0*f**2 + 2*f**2 + 0*f**2 + 2*f**2 + 4*f - 4*f + (4 - 4 - 2*f)*(-2*f - 1 + 1)).\nAnswer: -56*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*t - 15*t + 27*t = -10*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - -4. Let x = -19 + t. What is the tens digit of x - (3 - 20)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - -24 - (-124 - -143). Let f(y) be the third derivative of -30*y**w + 0*y**5 + 0*y**3 + 1\/480*y**6 + 0 - 1\/24*y**4 + 0*y. Factor f(t).\nAnswer: t*(t - 2)*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkkkkkffkfkkfkkkkkk.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + y + 3 = -1, -5*c + 4*y = -10. Suppose -12 = c*g - 44. Does 16 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = a, -14*y + 10*y = a + 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4*(6 + 70345\/(-44))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*b + 75*b**2 + 2*b - 68*b**2 + 6*b + 11*b.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 777*c - 620*c + 2512 = 0. What is the fifth smallest value in c, 1, 2, 2\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45397\/97 + -468. Are 1 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2887, 2873, 2859, 2845, 2831?\nAnswer: 2817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -110 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -2463595*9\/(-270) - 80\/96?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 644089833 to the nearest integer?\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 4*f - 1. Suppose -4*b - 1 = -9. Let o be m(b). Does 8 divide 3\/(o\/75*-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4403?\nAnswer: 7, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -314 + 314.2207. Let w = -0.1036 + a. Round w to two decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bc when two letters picked without replacement from {h: 1, l: 1, m: 2, c: 1, s: 1, b: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 12619*s - 3 - 10358*s in the form p + f*s and give f.\nAnswer: 2261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*p - 105*p**2 - 3*p**2 + 42*p wrt p.\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 801*z - 13897. Calculate i(13).\nAnswer: -3484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h**3 - h + 2. Let t be n(1). Suppose -3*o - t*c + 2 = 16, c + 4 = 0. What is r in -r**4 - 78*r**o + 8*r**3 + 8*r - 2 - r**4 + 66*r**2 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/937 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, o: 3, u: 1}. What is prob of picking 3 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u + 22*u = -5*a - 6, 40*a - u + 81 = -0*u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.45 - -2.35. Let k = z + 0.1. Sort 0.04, k, 0.2.\nAnswer: 0.04, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5633328, 5633312, 5633296, 5633280, 5633264?\nAnswer: 5633248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 188\/16 + 35\/(-80)*2*(-66)\/231?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 6:07 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4 + 3*y**2 - 1 + y**2 + 4*y**2 - 6*y - y**3. Let l be k(7). Suppose -3*n + 21 = h, -6*n + 3*n = -l*h + 6. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 207.2 + -244. Let v = -123 + 160. Let h = a + v. What is the nearest to -2 in -1\/2, h, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 2*p + 0*p + 348*p**2 - 301*p**2.\nAnswer: 47*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112343 (base 6) to base 7.\nAnswer: 40050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78.25 - 1.25. Let c = z - 73. Put -3, c, -40 in decreasing order.\nAnswer: c, -3, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*m + 29 = 4*m, -20 = -5*m. Calculate the remainder when 104 is divided by r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -65952668.8 to the nearest one million.\nAnswer: -66000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -4*n + 104. Let u(p) = -10*p + 207. Determine -7*h(a) + 3*u(a).\nAnswer: -2*a - 107","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -755 = 10*g - 2845. What is the highest common factor of 11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c + 2. Let r be s(-1). Let o be -4 + 36*(6 + r). Suppose -2*i = -3*p - o, 5*i - 4*p - 340 = p. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -507*c + 5643. Calculate o(11).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63 + -61. Suppose 2*j - 6*j + 80 = u*l, 4*l - 150 = 2*j. Suppose 4*o + 46 = c - o, -c + o = -l. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(5) - (2 + sqrt(5))*1) + -1*(sqrt(125) + (sqrt(125) - (sqrt(125) + -1))))**2.\nAnswer: 90*sqrt(5) + 206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2690101 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 >= 56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 7*v**2 - 11*v - 2. Let z be w(4). Solve -5*d = -z*m + 18, d = 2*m + m - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*r - 2, 5*w + r = 9 + 3. Suppose w*j = -3*y - 392 - 435, 5*y + 5*j + 1380 = 0. What is the tens digit of 1140\/22 - 50\/y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*m - 9*m**3 - 3*m**3 + 158*m**2 - 90*m**2 + 4*m**4 - 4*m**3 - 24*m**3.\nAnswer: 4*m*(m - 8)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*u, 7*u = -2*i + 8*u - 13 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 784, 1632, 3040, 5008?\n\"Answer: 280*u**2 + 8*u + 496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = -0*a + 50. Let b = -229 + 226. Let i = 0.02 - -2.98. What is the second biggest value in b, i, a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i + 3*i - 6*i)*(0*i - 4*i + 2*i)*(16523 - 3558 + 22980) as m*i + j*i**2 + k and give j.\nAnswer: 71890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1672, -11844, -39456, -93226, -181872?\nAnswer: -314112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, s: 4}. What is prob of picking 3 s and 1 a?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108 - -336. Calculate the highest common divisor of 12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7094, 7092, 7080, 7052, 7002?\n\"Answer: -r**3 + r**2 + 2*r + 7092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -3, 1421 in descending order.\nAnswer: 1421, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1841.\nAnswer: 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*m + 208*m + 134*m = -3869 for m.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12, -37, -100, -183, -292, -433, -612?\n\"Answer: -o**3 - o**2 - 39*o + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.76968km to micrometers.\nAnswer: 74769680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (135\/90)\/(3\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(63) + sqrt(315)\/sqrt(5) + sqrt(63)) - sqrt(63))\/((sqrt(135)\/sqrt(5))\/sqrt(3))*2.\nAnswer: 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert de9 (base 16) to base 5.\nAnswer: 103221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33886, 33991, 34172, 34429?\nAnswer: 34762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 604043 - -1022?\nAnswer: 605065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286524 is divided by 95?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 2. Let p(f) = -1. Let v(b) = -2*p(b) + s(b). Let x(y) = -y**2 + 12*y + 2. Let c be x(12). What is v(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/108 and -3\/8.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2942850 divided by -690?\nAnswer: 4265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3909, 6887, 9843, 12777, 15689, 18579?\n\"Answer: -11*f**2 + 3011*f + 909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 209343.\nAnswer: 209338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 a when four letters picked without replacement from araaaraarraar?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-240)\/9*24*(-19)\/(-1140)?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/234 and 149\/518376.\nAnswer: 20216664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, a: 2, d: 3, q: 6, m: 1, o: 5}. What is prob of sequence aoad?\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + 6*t - 2*t - 23, -5 = 5*a - 2*t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/3)\/((-6)\/36). What is the derivative of 8*r**p - 28*r**2 + 3 - 2*r**2 wrt r?\nAnswer: -44*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**5 + 4*r - 2*r**2 + 4*r**4 + 4*r**3 - 2 + 3*r - 8*r**3 - 2*r.\nAnswer: -(r - 2)*(r - 1)**3*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 197 in 0.3, -0.5, -0.071, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16742 - 104?\nAnswer: -16846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 15*g - 30. Let q(s) = 2*s**2 - 29*s + 59. Let f(u) = 11*a(u) + 6*q(u). What is the least common multiple of 12 and f(14)?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 871027, 871270, 871527, 871804, 872107, 872442, 872815, 873232?\n\"Answer: x**3 + x**2 + 233*x + 870792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 12:16 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6243333288?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*c**2 + 3430*c - 3430*c)*(-3 + 4 + 3*c + 2).\nAnswer: 24*c**3 + 24*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*r - 176*r - 682 = 202*r for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-46))\/c*c**(1\/36))**(-49) assuming c is positive.\nAnswer: c**(81095\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 + -6)*(-1)\/4. Let k(m) = -9*m**2 - 6*m + 9. Let s be k(p). Let o be 6*(-3)\/(s\/5). Put o, 0.2, 4 in decreasing order.\nAnswer: 4, o, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -218?\nAnswer: 21b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -113.36442864 rounded to the nearest integer?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 360 and 324.\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*m = -146*m + 10529 - 2875 for m.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 805, 802, 789, 760, 709, 630, 517, 364?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -12*t**2 - 4. Let a(r) = 23*r**2 + 9. Let g(q) = -2*a(q) - 5*j(q). Let w be g(-2). Let v = w - -66. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 9*s**3 + 9*s - 8. Let t(m) = -2*m**3 - 2*m**2 - 2*m + 9. Let a(n) = -3*n**3 + n**2 - 3*n - 1. Let o(y) = 2*a(y) + t(y). Calculate -6*g(b) - 7*o(b).\nAnswer: 2*b**3 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -5.1, 139, -2\/11, 7, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61593 and 588.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*j - 31 = 0, 3*g - 45 = -2*j + 69. Let c be 24\/g - (-24)\/10. Solve c*s = 3*u + 6, -5*u - 14 + 4 = -2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -13*p**7\/210 + 13*p**4\/24 + 6*p**2. What is the second derivative of m(x) wrt x?\nAnswer: -156*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-3)\/sqrt(9) + 1*sqrt(1053).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -12, 0, -27, 4 in decreasing order.\nAnswer: 4, 0, -12, -22, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21022 (base 3) to base 14.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - (20 - (15 - -4))) + (-1180)\/(-74)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90 - 16) + -33 + (1 - -6 - -2) + -10.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17213413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-27))\/(14\/(-21))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/5 - (-13)\/(-20). Let o be -2*(26\/(-4) + 2). Let t(q) = q**2 - 10*q + 8. Let a be t(o). Which is greater: a or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + d = -3989 - 3856, -5*u + 4*d = -39229. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 222138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9828)\/3960 + 24\/11?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 44 = -32. What is the second derivative of -15*m**3 + 0*m + 0*m - 3*m - o*m wrt m?\nAnswer: -90*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 58*s - 195. Give k(8).\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 226 - 72 = 0. What is the highest common factor of z and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 255268 or 255269?\nAnswer: 255269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f + 2. Let c be s(-2). Let t(i) be the third derivative of -i**4\/24 + i**3\/3 - 8*i**2. Give t(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5492\/7 or -786?\nAnswer: -5492\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 2*n + 2*n)*(-37*n + 14*n - 21*n)*(0*n - 3*n + n).\nAnswer: 264*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 a when three letters picked without replacement from {i: 6, e: 3, o: 1, t: 3, g: 4, a: 1}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = o + 53, 5*o + 2108 = 15*y + 1918 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17\/303 or 1?\nAnswer: -17\/303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6\/7, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 40*o - 138. Let j be g(4). Let n be (-20)\/3 - (-3)\/(-9). Let p = n + j. Which is smaller: -3\/46 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-seven halves of a meter?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1046*u**4 + 3*u**3 - 2*u**2 + 15177.\nAnswer: 25104*u + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 460 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -3. Let f = -74 + 75. Suppose -b + 0 + f = 2*w, b = -3*w. Sort y, -3, b in increasing order.\nAnswer: -3, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 535*b**3 + 0*b - 1286*b**3 + 0*b + (0*b + b + b)*(-2*b**2 - 2*b**2 + 7*b**2) to f*b + t + z*b**3 + g*b**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5700)*3)\/(-1*sqrt(432)).\nAnswer: -5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1+-173410\nAnswer: -173411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52771134 and 236?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11)\/(-2)*(42 - 44). Is z less than or equal to -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-106)\/(-18) - (38 + -32). What is the second smallest value in m, 0.03, 1\/7, 1\/4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 - 3185*k**2 - 2781422*k + 8372904.\nAnswer: (k - 3898)*(k - 3)*(k + 716)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1. Suppose -5*l + 27 - 2 = 0. What is the second derivative of -3*v**l + i*v**5 + 6*v**5 - 2*v wrt v?\nAnswer: 60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152842 is divided by 125.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 69 + 30. Let k be 1\/(t\/18 + 2). Let d = -9 + k. What is the biggest value in d, 1, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -658 + 657.6. Which is the second biggest value? (a) 2 (b) -33\/5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5d8ef - -3?\nAnswer: 5d8f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 + 0*k - 6*k + 2*k + 5*k**2 + 4*k as t*k + d*k**2 + m and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2056 - 754 - 841)*(-3 - g + 3) to the form x*g + c and give x.\nAnswer: -461","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1445190049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/28 and -127\/24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s - 6*s**2 - 5 + 0*s**3 + 2*s**3 - 3*s**3. Let z be b(-5). What is the nearest to 1\/4 in 3\/4, 2\/9, z?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 2*l**2 + 4*l - 5. Let f be -1 + 0 - (-4 - 1). Suppose -15 = f*k + 1. List the prime factors of p(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1\/2))**(-8\/9)\/((x*x**6\/x)\/(x*x**(-6\/11))))**(-3\/8) assuming x is positive.\nAnswer: x**(593\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*u**5 + u**4 + u**3 + 2*u - 10830 wrt u.\nAnswer: 620*u**3 + 12*u**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i + 8. Let s be v(4). Let x be s\/(-14) - 123*4\/(-42). Let q = x + 8. What is the highest common divisor of q and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 5*c**2 + c + 5. Let w(j) = 3*j**2 - j - 3. Determine -3*v(h) - 5*w(h).\nAnswer: 3*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -7*d**3 - 13*d**2 + 32*d + 7. Is u(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -289800 to the nearest ten thousand.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 9:45 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 521*x - 48391. Give g(93).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, x: 10, c: 2, e: 1, k: 1, h: 2}. Give prob of sequence khh.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2922 or -2380?\nAnswer: -2380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39250 by -314.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -60*(-15)\/1080*-12?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 393431806 by 6.\nAnswer: 196715903\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + s + 3. Let g be y(0). Let j = 9892 + -9887. Which is the nearest to -2\/9? (a) g (b) j (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 416 divided by 104\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 27 + 0*f**2 + 0*f - 2\/3*f**3. Let l(n) = 7*n + 6. What is l(q(z))?\nAnswer: -14*z**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*n**2 - 53 + 2*n**4 + 2*n**2 - 50*n**2 + 4*n**2 wrt n.\nAnswer: 8*n**3 - 102*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 817464 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00015199 to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*r = -4*c - 173*r + 78, 0 = 4*c + 3*r + 9 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v - 1. Let b be o(-2). Suppose -2*a = -x - 5 - b, 5*a = 4*x + 9. What is the greatest common divisor of 5 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k - 72424 - 108744 = 0. Round k to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 462 - 462 + 19*i**2. Let u(p) = 3*p. Calculate f(u(o)).\nAnswer: 171*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12021141 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + sqrt(396) + 3).\nAnswer: 15 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -4 - (-120)\/20. Solve -3*l + 10 = -r*s + 1, -4*l - 4 = 4*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.9 - 56.9. Let a = 106 + z. Let c = a - 59.999542. What is c rounded to five decimal places?\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*i - 145*i + 281*i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33*(-4)\/54)\/((-414)\/(-621)).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5929, 5850, 5771?\nAnswer: 5692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 24*d = -41776. Is d a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2915834 is divided by 132536?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g - 311 = -5*j, 410*g = 423*g - 2*j + 160 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -3606349 (b) 2.1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2. Let k(p) = -p**2 + 3 - 5 + 2. Give k(q(l)).\nAnswer: -l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9916*p**3*u**3 - 3*p**3*u**2 - p**3*u - 32575*p*u - 5*u wrt u.\nAnswer: 59496*p**3*u - 6*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*j**2 + 1 + 30*j**2 - 4*j**2 + j.\nAnswer: 55*j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -545333789 by -2443.\nAnswer: 223223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**2 + 327920*p + 5376576320 = 0.\nAnswer: -32792","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1491867*b**2 - b**3 - 4*b**4 - 5*b + 1491886*b**2 + 3*b**3 to the form i*b**3 + t*b**4 + q + a*b**2 + u*b and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)\/(sqrt(90)\/sqrt(10)))\/sqrt(10) - (sqrt(18)\/(sqrt(45)\/sqrt(5)) + sqrt(16)\/(sqrt(32)\/sqrt(4))))*1.\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 u when two letters picked without replacement from {h: 7, u: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2136\/560)\/(6\/2). Let x = -1\/70 - c. Calculate the common denominator of x and -117\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 22*x.\nAnswer: -2*x*(x - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -240.49521487 to two decimal places.\nAnswer: -240.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 10:02 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20)\/90)\/(6\/(-9)))\/(72\/(-378)).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9*(-5)\/(45\/(-6)). Let r(x) = -x**2 + 5*x + 2. Let w be r(m). Which is the closest to 2? (a) -2\/11 (b) w (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 23*n**2 - 19*n**2 + 37*n**2)*(0 + 4 - 3).\nAnswer: -5*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.03 - -0.03. Let f = 9 + -4. Let h = -5\/12 + 1\/12. What is the closest to 0.2 in n, h, f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4616*b**2 + 2 - 4617*b**2 + 9235*b**2 - 2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1)\/3)\/((-2)\/246) is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 12*x = 11*x + 76, -3*r + 3*x + 78 = 0. Calculate the remainder when 1473 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147575 + 247955 = -1348*a - 3997*a for a.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9270766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (31\/837)\/((-5)\/30)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + l + f = 42, -f + 57 = 4*l. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -52*v + 55*v - 20, -4*i - 35 = -3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 114 + -117. Let z be -3 - -1 - 7\/((-98)\/(-42)). Put z, k, 0 in ascending order.\nAnswer: z, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/17, -0.6, 0.4, 3.\nAnswer: -4, -0.6, 1\/17, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/12*15\/(-2). Suppose 10*t - m*t + i = 22, -3 = i. Suppose 0 = t*k + 10. Put -5, k, 4 in increasing order.\nAnswer: -5, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -8*o + 4. Let z be 9\/(-12) - 19\/o. Suppose -4*w - z*b + 196 = 0, b = w - 51 - 8. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*x, 2*h + x + 3*x = -6. Let g(w) = -w**2 + 7*w - 1. Let t(f) = -2*f**2 + 6*f. Let z(o) = -3*g(o) + 2*t(o). Let q be z(h). Solve -b = -q*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 199.1 - 196. Let a = 2.84 - n. Let c = -0.1 - -0.2. Is a >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 2991 (c) -39 (d) -3\/5 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/2 and 145\/265398?\nAnswer: 265398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 129248929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29252 - -32924. What is the highest common factor of 952 and c?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - 1*-4 - 2. Let i = -2 + k. Solve -4*c - 15 = g, -i*g + 3 - 9 = 2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from danamad. What is prob of sequence maa?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**17\/c**(-8)*c\/(c*(c*c**(-2\/7))\/c)*((c\/(c**9*c)*c)\/c)\/c*c assuming c is positive.\nAnswer: c**(114\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 6458.27 to the nearest ten.\nAnswer: 6460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -5*p**3 + 7*p. Suppose b + 2*b = 4*b. Let w(i) = -2*i**2 + i + 7. Let g be w(b). Let k(t) = 3*t**3 - 4*t. Give g*k(h) + 4*r(h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/3 + 1 + (-4 - 1). Let m be 2\/(u\/((-4 - -3)*-1)). Suppose 0*n + 4*n = 0. Put 5, m, n, -1 in descending order.\nAnswer: 5, n, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**4 + 3*z**2 - 2*z**2 + 2*z - 7*z**2 + 7*z**2 - z**3 + 2 to v*z + b*z**2 + q*z**3 + c + w*z**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + sqrt(1944) + sqrt(1944) + 2*sqrt(1944))\/(5*sqrt(8)*2) + (sqrt(300)*4)\/(sqrt(96)\/sqrt(6)).\nAnswer: 137*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -208, -207, -206, -205, -204?\n\"Answer: p - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 768 + 755*t**3 - 927 + 159.\nAnswer: 755*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-30)\/72*-3 - (-3)\/4. What is the third derivative of -636*o**4 + 127*o**u + 318*o**4 - 47*o**6 + 318*o**4 wrt o?\nAnswer: -5640*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 978641 = -n, -2*o + 27829 = -8*n - 461517. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x + 5. Suppose -5*q - 11 = 14. Give d(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d = 6088 - 6118 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 6*o - 2*o**5 - 19*o - 8*o**2 - 31*o**3 + 27*o**3 + 19*o + 8*o**4 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -1 - (1 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1043937.\nAnswer: 3, 193, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112752 and 30132.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 11 = 2*o, -7*k + 272 = -4*o + 253 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 5 = -5*a, 181*d - 4*a - 4 = 175*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a millennium in decades?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 234350 and 522110?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2 + 3*f + 4. Calculate b(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -188*j + 302*j - 58140. What is the highest common divisor of j and 4930?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -377, -1156, -1957, -2780?\nAnswer: -3625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/72*-6 + 1\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39320 = -4*x - 4*s, 14*x = 9*x - 2*s + 49129. Calculate the greatest common factor of 627 and x.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12292\/59704*((-6)\/9 - (-102)\/(-63)).\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.807 - 666.807. Let k = d + 666.00000603. What is k rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31052068 is divided by 1123?\nAnswer: 1118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 33708?\nAnswer: 33703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -111\/2 > 717?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/380 and -97\/320.\nAnswer: 6080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39442546 to the nearest integer?\nAnswer: 6280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 1. Let l(b) = -17*b + 1. Determine 4*c(q) - l(q).\nAnswer: 17*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -304*p**3 + 4*p**2 + 61*p + 12 wrt p?\nAnswer: -1824*p + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011010011 + -11011000?\nAnswer: -110110101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2502056889 a multiple of 933?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -287 divided by -7.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 5 + 4*v**3 - 5 + 17.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 - -136. Suppose -4*w + q = -l, 2*l + 19 - 75 = -3*w. Solve -6 + w = -4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51081322 divided by -25540661?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29078*v**3 - 1732 + 1732.\nAnswer: 29078*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let d be (-79 - -77)*(1 - 9\/6). Let t(p) = -27*p**2. What is t(d)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 1113 + 1095. Let l = -830 + 1355. Let s = d - l. List the prime factors of s.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*p**3 - 11*p**3 - 29*p**2 + 10*p**2.\nAnswer: 2*p**3 - 19*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20\/11 + -529\/297. Which is the nearest to 2\/7? (a) -5 (b) k (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*z + 75. Let y be (1 - (-15)\/5) + z. Is -21 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b + 35. Let m be v(11). Let f be (9\/(-6))\/(m\/24). Solve -21 = k - f*h, -6 = -2*h + 2 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15.17? (a) 0.3 (b) 0.1 (c) -12 (d) -0.29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25.1583 + -0.0583. Let x = -27.44 - -0.44. Let b = x + q. Round b to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/155 and 25\/4042152.\nAnswer: 20210760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.161 and -4586?\nAnswer: -738.346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/45 (b) 30.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 6*g + 8. Let y(t) = -t**2 + 5*t - 7. Let q be y(5). Let l = 46 + -2. What is the remainder when l is divided by j(q)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*t + 0 + 8\/3*t**4 + 4\/3*t**3 - 7\/6*t**2.\nAnswer: t*(t + 1)*(4*t - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162744 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1284\/214 - (21\/(-12))\/((-1)\/4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -57*u - 3*u - 660 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-14 + 22 - 4)*-4 + -9\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**3 + 1815*j**2 + 1836*j**2 - 5479*j**2 + 1828*j**2.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*j - 6422 = -6234 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 225352 + -5?\nAnswer: 225346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u - 2. Let q = 8 - 7. Let w be (-2 - -3)\/1 + q. Calculate y(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/14)\/9*((-8)\/(-10))\/((-22)\/7370)?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.9 - 0.6. Let t = 0.509 - 0.009. Which is the second biggest value? (a) t (b) u (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r, -2*q - 5*r = -8 - 0. Suppose -i + 126 + 99 = 2*z, 0 = z + q*i - 123. Is 37 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*b - 79. Suppose 0 = -5*t - 2*r - b, 3*t + 3 = -5*r - 18. Is 118*(1 + (t - -2)) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -11 - -5) + 6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - 6*h + 18*h**2 + 5*h.\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6585 + 6127 = -908*x for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and -4.022.\nAnswer: -9.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y - 2. Let s be x(-3). Let i(w) = -4*w**3 - w**3 + 1 + 4*w**3 - w**2. Let d(h) = h**2 - 3. Let l = 49839 - 49838. Determine l*d(p) + s*i(p).\nAnswer: -p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*l + 108 = 33*l. Put 2, -4, -5, l in increasing order.\nAnswer: -5, -4, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 4*f + 4, 0*a = 5*f - 3*a + 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**15*f*f**(-6\/25)\/f*f)**(-20) assuming f is positive.\nAnswer: f**(1324\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*f = 18689, 0 = -6*s + 2*s - 3*f + 24937. Suppose 0 = -4*x + 5*d + 6229, -4*x + 3*d = d - s. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/2 - 472785*y\/2.\nAnswer: y*(y - 472785)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/75 of a millennium?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*n**2 - 27*n**2 + n + 16*n**2 + 1)*(-3*n**2 + 3*n**2 - n**2).\nAnswer: 4*n**4 - n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 194184 and 558?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-6) + 26\/(-3). Let r be -11 + -1*(-2 + 2). Let b = r - j. Let o(d) = 2*d + 4. Determine o(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 2*d**2 - d + 152. Is y(0) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(110))\/sqrt(5))\/(sqrt(99)*-4))**2 + (sqrt(98) + -6*(sqrt(98) + -1) + 5)**2.\nAnswer: -770*sqrt(2) + 46279\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2938112.\nAnswer: 2, 23, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.2 (c) -0.003\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/199 in -13, 2\/7, -1, -148, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 4334?\nAnswer: -4332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 3*q - 15. Give l(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 131, -5, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 11*p + 5*p - 5*p.\nAnswer: -11*p - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r - r + 26438 = -47031. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90 - -466. Let o(q) = -l*q + 4*q**2 - q**3 + 551*q + q**2 + 0 + 3. Let v(y) = y - 3. Let z be v(6). Give o(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -7) + -3 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07271482 and 0.01.\nAnswer: 0.0007271482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.305*-0.04\nAnswer: -0.0122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 3) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-40)\/(-10) - (-11)\/(-4))*-4. Let f = 970 + -965. Sort d, f, -1 in increasing order.\nAnswer: d, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 10. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 0.01766.\nAnswer: -0.005298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 412210.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4739 - 9420 + 4689 - g.\nAnswer: -g + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 5*i - 2*i - 15, -5*o + 19 = 3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 80b - -8?\nAnswer: 816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5\/4443 - -100633\/66645. Let x = -4584 + 45883\/10. What is the common denominator of g and x?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 4*p - 1 = 0, -4*l - 7*p + 8 = -10*p for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 22 = 9*v, k - 3*k + 17 = 5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*((-25109)\/2954)\/((-2)\/((-4)\/(-2))).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 259 = 5*s, -10 = 8*s - 10*s. Let z be 3 - (-5 - (k\/(-15) + 0)). Which is the third biggest value? (a) z (b) -1\/7 (c) 0 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68 + -45. Let x = -17.832 + -5.238. Let l = b + x. Round l to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -3\/5, -1.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbtgbobt. What is prob of sequence ogb?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 5. Suppose -7*y = -2*y - 20. What is the remainder when c is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*x + 1050 = -250 for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 101020002120000?\nAnswer: -101020002120001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1259015.7 to the nearest 100.\nAnswer: 1259000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3))**(-2\/119) assuming l is positive.\nAnswer: l**(6\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 130 and 7820.\nAnswer: 101660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a century?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110184355?\nAnswer: 5, 22036871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(63*(-49)\/(-83349))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 363 from -13.05435.\nAnswer: -376.05435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5*(5 + 1*sqrt(200) + 5)*3)**2.\nAnswer: 44400*sqrt(2) + 66904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z**2 + 20*z - 132. Determine g(6).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 910496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 24\/5, -0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + ((-10)\/(-1))\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 2:07 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -2. Suppose -v = -l - 3. Let j(k) = 5 - 9 + 1 + 0*k - 3*k. Calculate j(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 9*w**2 + 0 + 28\/11*w**3 + 49\/220*w**6 + 0*w + 63\/22*w**5 - 48\/11*w**4. Solve u(b) = 0 for b.\nAnswer: -7, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 181601?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a millennium in centuries?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 4:55 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b + 6a4a?\nAnswer: 6a3f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, p: 10, f: 4, w: 3}. Give prob of picking 1 l, 1 p, and 2 f.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*z - 0*z. Let d be 4 - (z\/(-1) + -2). Let g = d + 5. 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 p(v) = -2979*v + 62507. Determine p(21).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g - 1. Let z(l) = -6*l - 3862. Give -4*m(d) + z(d).\nAnswer: -2*d - 3858","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 6*c - 6. Let x be q(4). Suppose -7*u = 4*s - 3*u - 32, 0 = 3*s + 2*u - 21. Solve -s + x = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) 1\/3 (c) -3 (d) -1\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-335)\/(-4) + 1 - 5*(-35)\/700. Solve k = 10*v + 7*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -119 - -173. Let m be -1 - w\/(-6) - 4*1. Suppose -213 = m*h - 1065. List the prime factors of h.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 3 + -16 - (6 - 11)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 8*i**6\/15 + 29*i**5\/5 + 21*i**4 + 92*i**3\/3 + 16*i**2 + 3*i + 92. Solve c(u) = 0 for u.\nAnswer: -4, -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 156 and 546.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 7)*(4*i - 7*i + 24*i)*(-i + i - i).\nAnswer: 63*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + -1190*8\/(16\/(-26)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 + 20*p + 11. Let z be d(-15). Suppose -z = -3*q - 29. Calculate the remainder when q is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2882*l**3 - 1029*l**3 + 66*l**3 + (2*l**3 - 4 + 4)*(2 - 1 + 0).\nAnswer: -3843*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 0.16. Let z = i - -2.94. Suppose 2*l = -2*l. Which is the closest to l? (a) -5 (b) z (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-140)\/6)\/(9\/(-27)). Suppose 2*w - u = 36. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - 104390.402667.\nAnswer: -104422.402667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(234)*1)\/sqrt(9))\/(sqrt(64)\/sqrt(2)))**2 + (sqrt(832) + -2*sqrt(832) - sqrt(832))**2 + -2 + 4.\nAnswer: 53293\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 4. Let a = -4 - r. What is the derivative of 0*g**2 + 0*g**a + 1 - 2*g**4 wrt g?\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - ((-50 - (-15 - 8)) + 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 24*a - 11269 = 27*a, 4513 = 2*s - 3*a. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 2, 8195321, -2\/9 in descending order.\nAnswer: 8195321, 2, 1, 0, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 18*u + 48. Let n be b(-3). Suppose -4*r + 6*r - 6 = 0. Solve -w + n*x = r*w + 12, w - 5*x = -3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6753 - 6752.94. Which is the nearest to k? (a) 0.3 (b) 2\/5 (c) -0.04 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69033 = -108*d - 67521 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u**2 + 438*u - 8047. Give w(86).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -5, 3, 2\/3, -1\/13, 96, -7\/5?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 8. Let s = 12 + 0. Let i = 1 - 1. Solve -2*a - o*a + s = i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a century?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4582509 rounded to the nearest 100000?\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 162. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from metxh. Give prob of picking 1 t and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 27b0 (base 14) to base 11\nAnswer: 52a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -730, -1365, -2000?\n\"Answer: -635*d - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iqi when three letters picked without replacement from {q: 1, i: 1, h: 1, r: 1, c: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -1462.\nAnswer: 1462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 8 + 7 - 3)*(5 - 3*p - 5).\nAnswer: -87*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-14) - 102\/357 - (-15)\/(-18).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**2 + h**2 + 4*h**2 + (-1 + 3 - 1)*(-4*h**2 + 4*h**2 + 2*h**2) + 0*h**2 - 2*h**2 + 4*h**2 - 530*h**2 - 101*h**2 - 319*h**2.\nAnswer: -944*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 380 - 375. Suppose -3*j = 3*r - 0*r - 47364, 0 = i*j + 4*r - 78939. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 38\/2 + (0 - 28\/7). Solve -m = -2*u - 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**4 + 662116*k**3 + 7282932*k**2 + 23172620*k + 16551800 = 0.\nAnswer: -165518, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(99)\/(sqrt(81)*2) + (((sqrt(77)*2)\/sqrt(7))**2 - ((sqrt(55) - sqrt(55)*2)\/sqrt(5) - sqrt(11)))).\nAnswer: 13*sqrt(11)\/3 + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 i when two letters picked without replacement from diiiiddidiiiiidiid.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 5*n - 4*z, 0 = 5*n - 0*n + 4*z - 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 43 - 230*u**3 - 28.\nAnswer: -230*u**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 5*g. Let v = 94 + -64. Suppose l + l - v = g. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 6:17 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16521268 divided by 77.\nAnswer: 16521268\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9385*h + 172 = -9342*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000018050937 to seven dps.\nAnswer: -0.0000181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - p + 3 + 9 = 0, -3*p + 6 = 0. Let c be (-132)\/80 + (-6)\/8. Which is bigger: c or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0201*1.\nAnswer: 0.0201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1479422904 divided by 6\nAnswer: -246570484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - f - 13*f - 2 + 4*f + 12*f. Let w(k) = k - 7. Let g(h) = h - 6. Let y(j) = -6*g(j) + 5*w(j). Give -q(i) - 2*y(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 275.3 + -269. Let x = -59971.6973 + 59978. Let c = x - i. Round c to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 5*v**2 - 2*v + 5. Suppose 17*s - s = 80. What is j(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3556121.5 plus 0.31683?\nAnswer: 3556121.81683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/5)\/(56\/(-14)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = k + 44. Suppose -2*p + 3*u + k = 0, 0 = 4*p + 2*u - 4*u - 52. Calculate the remainder when 4 is divided by (12\/10)\/(p\/35).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 - -30. Suppose 0 = -f - 0*f. Suppose -z = -f*z + 1. What is the closest to 1 in z, 5, w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-12))\/((-6)\/8)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n = 221 + 1174. Does 2 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/55 in -303, 0.9, 2, 3, -3?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + 26. What are the prime factors of l?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -3. Let g(n) = -n**2 + n**j + 5 - 2 - 2*n + 2*n**3. List the prime factors of g(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggb when three letters picked without replacement from {b: 2, g: 7}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a decade in months?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/24924 and -79\/4690?\nAnswer: 872340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -6*j - 18. Let c be ((-21)\/(-15) - 3)*5. Let l be u(c). Is (0 + l)*(-2 - -3) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -30*l + 10. Solve -a = -l*n + 8, 4 = -n + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 253, -1, 0.3, -3\/572, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/35 and -46\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.2 + 7. Let d = 31.2 + n. Let g = d - 30.9. Sort 3, g, 2\/13 in ascending order.\nAnswer: g, 2\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 945 - 36853\/39. Suppose 4 = 3*n - 2. Suppose n = y + y. Which is smaller: y or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-15)*-10 - (-8 - -1). Sort 1, 2, 6, q in ascending order.\nAnswer: 1, 2, q, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/63 - (-2)\/(-7). Let h = -328 + 323. What is the nearest to g in 4, h, 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, 0.02, -0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m - 3*m - 4*m + 7*m. Let j(t) be the first derivative of -t**6\/180 + 2*t**3\/3 - 2. Let p(v) be the third derivative of j(v). Determine c(p(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vq when two letters picked without replacement from qvvvqqqqqqvvqq.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73950?\nAnswer: 2, 3, 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**5\/40 + 43*p**4\/8 - 85*p**3\/4 - 2*p**2 - 630*p. Solve c(i) = 0.\nAnswer: 1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 3 (c) 1\/7 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3559778.\nAnswer: 2, 1779889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((m + 0*m - 2*m)*(-m + 2*m + 3*m) - 3*m**2 + 3*m**2 + m**2)*(-2*m**3 - 3*m + 3*m)*(-4 - 1 + 1).\nAnswer: -24*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56*p - 61*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/(15\/6))\/(6\/(-6)). Let g be (5 - 0)\/((-12)\/u + 5). Let v(f) = -f**3 - 4*f**2 + 6*f + 6. Calculate v(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.636359 to three decimal places.\nAnswer: 7.636","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-23)\/((-759)\/44) - (-164)\/12. Calculate the highest common factor of m and 215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41273?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380634534?\nAnswer: 2, 3, 7, 683, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/4*-3*(-6 - 0). Suppose 3*v = 3*m - 285, v = -m - 0*v + w. What are the prime factors of m?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11892 - -11907. Let p = -95 + 228. What is the remainder when p is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*n - 265*n + 2*t + 4 = 0, 4*n - 2*t = 14 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-882)\/6*((-2)\/6 - 0). What is the highest common factor of 98 and m?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3 = 0, 4*d - 6 = -r + 3*d. Suppose -6 = -3*w, r = o + 2*w - 2. Calculate the remainder when 10 is divided by o\/((-1)\/(-6) - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23666317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 110*o**3 - 2*o**2 + 595. Let r(c) = -555*c**3 + 11*c**2 - 2974. Let l(d) = 2*r(d) + 11*x(d). Find the first derivative of l(s) wrt s.\nAnswer: 300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/1)\/((-2)\/4). Suppose -13 = -b - 2*y, 3*y - 2*y + 97 = f*b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 45694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.337 + -13.363. Let k = j - -13.700000015. What is k rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18.6 - -19. Which is the closest to -2? (a) -1 (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**5\/110 + 130*f**4\/33 - 529*f**3\/11 + 2394*f**2\/11 + 13912*f. Factor i(r).\nAnswer: 2*(r - 3)**2*(r + 266)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2151819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 618 - 574.1. Let m = v - 41. What is m rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 - 1.02. Let b = 1.06736 + -0.067376. Let w = t + b. Round w to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (76\/(-3) + 6)\/(34\/(-357)). Solve 206*p = i*p - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8355, -33358, -75043, -133422, -208507, -300310?\n\"Answer: -2*b**3 - 8329*b**2 - 2*b - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 1\/6 (c) 0 (d) 24720 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*m + z, 0 = -m + z + z - 8. Let p(a) = a + 7 - 216*a**2 + 217*a**2 + 6 - 3. What is the least common multiple of 12 and p(m)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(234))\/((sqrt(2) - sqrt(2)*-3)*-3 - sqrt(2)) + 0.\nAnswer: -6*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 11 = -13 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 91407557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjfpk. Give prob of sequence kp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 5*s - 13 + 5, a + 3*s + 6 = 0. Let v = -4 + 0. Suppose -2*f = -0 + 4. Sort f, a, v in ascending order.\nAnswer: v, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 12*g - 1. Is 2 a factor of o(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wjwj when four letters picked without replacement from {j: 4, t: 5, i: 3, w: 7}.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and -141.01?\nAnswer: 146.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 60\/(-24) + 1221\/6. Suppose 6*g + 339 + o = 0. Let p = g - -140. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 8:49 PM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 157 and 26?\nAnswer: 4082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*r**4 - 30*r**3 - 21*r**2 + 104*r - 60.\nAnswer: (r - 1)**2*(r + 2)*(7*r - 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -348318622*n + 116106212*n + 116106211*n + 116106207*n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppz when three letters picked without replacement from {z: 3, y: 3, o: 3, h: 2, p: 2}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -142, -74, 18, 146, 322, 558, 866, 1258?\nAnswer: 1746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/17955 and 151\/15960.\nAnswer: 143640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 19*n**5\/20 - n**4\/6 - 5*n**3\/6 - 5*n**2\/2 - 55*n. Is r(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 5*u = 26, 37*u + 21 = d + 33*u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence po when two letters picked without replacement from ueouuopuppuoo.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - ((-1476)\/84 + 8))*(-6)\/12.\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305*l - 129759226 = -102*l + 171174064. Round l to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62*f**3 - 37*f**3 - 7*f**2 - 21*f**4 + 53*f**3 - 77*f**3 to a*f + z + d*f**2 + q*f**4 + h*f**3 and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 0.01 in increasing order.\nAnswer: -5, -4, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 210 and 1281505.\nAnswer: 53823210","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l**3\/3 + 6*l - 3. What is the remainder when w(5) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188253 at least as big as 188254?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 50490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 + 5178*a + 293865.\nAnswer: -3*(a - 1781)*(a + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7957, -7956, -7955, -7954?\n\"Answer: o - 7958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -21 - 2 - -2 - 3. Which is smaller: -114\/5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8910*q**4 + 3*q**2 - 4152.\nAnswer: -213840*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**2 + 9*h**4 + 2*h**2 - 2*h**4 - 2*h**2 wrt h.\nAnswer: 168*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -8899 and -44498\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, 0.5, -4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2e4e1 - 21?\nAnswer: -2e502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 23102000 to the nearest 1000000.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161625 is divided by 161336?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1428630298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 25*u - 21*u + 1836, -4*u + 8 = 0. Suppose b = n + 4*i, 3*n + 5*i - 2545 = 200. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 535 - 409. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2 + sqrt(19) + 3)**2 + (sqrt(475) - (sqrt(475) + (sqrt(475) - (sqrt(475) + sqrt(475)*4))))**2.\nAnswer: 2*sqrt(19) + 7622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -2\/7, -4, 4\/3, -1\/5, -0.4 in ascending order.\nAnswer: -4, -0.4, -2\/7, -1\/5, 0.4, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 6*s + 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 19. Let w(a) = 9 - a - u. Let h(l) = -25*l. Determine w(h(c)).\nAnswer: 25*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.5 (c) 0.4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 82781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t**4 + 3*t**4 + 10*t**4)*(1 + 3 - 6).\nAnswer: -36*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1338 and 386236?\nAnswer: 1158708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p + 4. Let w(q) = -1. Let s(i) = -u(i) - 4*w(i). Let y be s(2). Let r = y + 7\/3. Is 3 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4054 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*s**2*u**2 - 65399*s**2 + u**3 + 1580*u**2 wrt u?\nAnswer: -20*s**2*u + 3*u**2 + 3160*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5811 and 2831.\nAnswer: 110409","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 184649, 184650, 184651?\nAnswer: 184652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -a + 5*p + 25, -11*p - 81 = -2*a for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -207213000 to the nearest 1000000.\nAnswer: -207000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 1, 83, 2\/3, 0.01, -2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26130)\/(-8710)*2\/(-6)*-38?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217\/29822*13*4\/14*-2?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -429 or -431?\nAnswer: -429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 4. Let i be 140\/(-80) + (2 - 0). Let k = 0.5 + 3.5. Which is the second smallest value? (a) k (b) i (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((2*(-2*sqrt(85) + sqrt(85)) - sqrt(85)) + sqrt(85) + (sqrt(85) - (sqrt(85) + 6*sqrt(85)*-1)) + sqrt(85) + sqrt(85)))\/(sqrt(5445)*2*1).\nAnswer: -5*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9679.\nAnswer: 9679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153)*-1 - (sqrt(17) + sqrt(68)\/sqrt(4))*6) + -1*sqrt(2057) + 2)**2.\nAnswer: -104*sqrt(17) + 11496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + 522 + (-1 - 0). Calculate the highest common divisor of p and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23238 <= 23238?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.908458 kilometers to centimeters.\nAnswer: 690845.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-64)\/48*(-11)\/(-66) - (-37066)\/18 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (127 - 48 - 146) + 97.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*i + 10 - 17 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.07 + 0.134. Round f to 2 dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(4\/((-16)\/3)). Put -5, t, 3\/5 in increasing order.\nAnswer: -5, 3\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*l + 2*u = -270*l - 1, -3*l = -u + 22 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -96, -130, -168, -204, -232, -246?\nAnswer: -240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/201 - -1415\/804. What is the nearest to 1 in 2, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -76*r - 63*r + r - 23 + 74 as o*r + d and give o.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -10. Suppose -2*r - 4*f - 1 + j = 0, 0 = -5*r - 5*f + 10. Solve -3*s = 3*d - 0*s + r, -2*d - 3*s = 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/11 + 1011*t\/11 - 2018\/11.\nAnswer: -(t - 1009)*(t - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 9 = -4*f + 3*f, -f + 2*c - 13 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 54869*u**2 - 782 + 21*u**3 - 109735*u**2 + 54867*u**2 + (-4 + 1 + 2)*(-2*u**3 + u - u).\nAnswer: 23*u**3 + u**2 - 782","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/162791 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42242 - -1214?\nAnswer: -41023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 7113 - 6099 = 509*z + 226*z for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -15.8. Let o = -2 + r. Which is the biggest value? (a) o (b) 1\/3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17784 and 14706.\nAnswer: 764712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*d**2 + d**2 + 0*d**2 + (-2*d - 1 + 1)*(-19 - 11*d + 19) + (-5*d + 3*d + 3*d)*(0 + 0 + 2*d).\nAnswer: 31*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1362 - -1577. Calculate the remainder when a is divided by 33.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7*(-5 - -11 - -22) and 10.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 125.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*k - 11. Let d(i) = 2*i - 2*i + 1 + 5*i - k*i. Let c(g) = -1. Give 6*c(z) + 2*d(z).\nAnswer: -2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5106469 is divided by 608?\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 567146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8578*z**2 + 33*z + 6?\nAnswer: -17156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 3:53 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**3 + 4*m**3 - 5*m**3)*(10199 + 94*m - 10199 - 411*m).\nAnswer: -634*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*((-72)\/(-16))\/(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxvvvvxxvxxx. Give prob of picking 2 v.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -52*t - 22. Let o(s) = 17*s + 7. Let b(v) = -17*o(v) - 6*y(v). Let d(h) = -11*h - 6. Let f(c) = 6*b(c) + 13*d(c). Let n(w) = -w. Give f(n(p)).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*f + 335 + 1153 = -38*f for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, z: 2}. Give prob of sequence zz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/3 (b) -0.79 (c) 23 (d) 4\/9 (e) -27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 8*x**2 + 2*x + 11. Let t be b(8). Let p(o) = -o**3 - o**2 + 46*o - 15. Let a be p(6). Calculate the highest common factor of a and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 6:39 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 3*g - 3*g)*(-239*g - 1483 + 1483)*(-3*g + 0*g + 2*g).\nAnswer: -478*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4406271758?\nAnswer: 2, 7, 383, 821759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -79 - -171. Let t = q + -91.41. Let r = t - 0.09. What is the second smallest value in 3\/2, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.116425193 + -0.11642. What is i rounded to 7 dps?\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1216 and 2691008?\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 9:04 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 39*c - 85. What is i(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 630311.6 centuries?\nAnswer: 63031160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of l**4\/6 + l**2. Let o be (2 + -1)\/((-2)\/(-6)) + 8. Let a(q) = 5*q + o*q - 17*q. Calculate a(j(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 919596.2l in millilitres?\nAnswer: 919596200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3177*m. Let b(c) = -194*c**2 + 60*c**2 + 70*c**2 + 65*c**2. Calculate b(s(h)).\nAnswer: 10093329*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/1358 and 13\/343490.\nAnswer: 33318530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15178435.56 rounded to the nearest one hundred thousand?\nAnswer: 15200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 + -157 - (-3 + -7) - (2 + 2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 519 (base 13) to base 4.\nAnswer: 31203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*v = -6*v - 10450. List the prime factors of v.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 957 and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -15*u + 8*u - 2*u**2 - 4*u**3 + 6*u**3 - u**3 + 20. Does 12 divide v(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1312 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.19 * 30.\nAnswer: 5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*-13*10\/(-520))\/(16\/608)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 41*a**2 + 428. What is the remainder when f(40) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 23*a**2 - 14*a + 20. Let k = 31 + 70. Let p = -67 + k. Suppose p = 2*m - 0*m. Let x(s) = -8*s**2 + 5*s - 7. Determine m*x(f) + 6*r(f).\nAnswer: 2*f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1307657835?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1678068233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4*i = -2, 0 = 3*b - b - 4*i - 10. Find the third derivative of -7*t**3 + t**2 + t + 10*t**5 - 17*t**5 + b*t**3 + 6*t**3 wrt t.\nAnswer: -420*t**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*590\/45 + 20\/30. What is the greatest common factor of f and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 4*b + 36, -2*b - 4*m = 17 + 9. Let d(o) = 3*o**2 + 12*o + 8. What is the units digit of d(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122568, -245140, -367712, -490284, -612856?\nAnswer: -735428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 133949, 0.03, 4, 2, 2\/5?\nAnswer: 133949","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven sixths of a minute?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.708776g to kilograms.\nAnswer: 0.001708776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 269983*w**5 + 133285*w**2 - 2?\nAnswer: 16198980*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 673064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/920 and -25\/5378.\nAnswer: 2473880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*f**2 - 6 - f + 8 + f to t*f + i + o*f**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/3, -4, -27, 5, -1\/9, 1\/10, -0.209?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31880796.\nAnswer: 2, 3, 61, 97, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 27*z**3 + 912*z**2 - 3201*z + 666 = 0.\nAnswer: -37, 2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1078, -7003, -23084, -54397, -106018, -183023, -290488?\n\"Answer: -846*q**3 - 2*q**2 + 3*q - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 103 and 641484.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.04 - 0.14. Let b = 39 - 37. What is the closest to -0.3 in c, 0.4, b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -118.3876 to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5\/1718 - 71317\/6872. Let o = -458 - -4517\/10. Find the common denominator of f and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3 + sqrt(2736) + -1 + 0 + (sqrt(2736) + -1 + sqrt(2736) - sqrt(2736)))*1*-4 + 1 + 4)**2.\nAnswer: 1152*sqrt(19) + 700425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 7\/4*d**4 - 9\/2*d**3 - 2*d + 0*d**2 + 5 - 1\/10*d**5. What is the second derivative of o(r) wrt r?\nAnswer: -12*r + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-156)\/2340)\/((-7)\/(-5))).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 6, d: 4}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 46195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1227626.6 rounded to the nearest 100?\nAnswer: -1227600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2177 and 29234?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/3, 0.5, -140\/11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 4*j**2 + 5*j - 3. Let n be y(3). Let u(m) = -m**3 + 3*m**2. Let z be u(n). Is 14 a factor of -1 + 1 + 49 + z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s - 3. Let g be p(2). Let i(f) = f**2 - 9*f + 11. What is the remainder when 19 is divided by i(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) -3\/529 (c) -2\/13 (d) -1\/7 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 6) in base 3?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88 + 153. Suppose -z = -5*u + 2094. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21*k**3*u**3 + k**3 - 11*k**2 + 5*k*u**3 - 21*k wrt u?\nAnswer: -63*k**3*u**2 + 15*k*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 286783.8 and 0.4?\nAnswer: 286783.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4266 = -2*x + 5202. Is 39 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 358*i - 440 = -353*i, 4*i + 91 = o. Solve -o*w + 66*w = -21 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98877904.\nAnswer: 2, 1123, 5503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1961?\nAnswer: 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*11\/(154\/(-63)). What is the closest to 2\/5 in -1\/2, 1, z, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1201 + -222?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times 10263?\nAnswer: -205.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, m: 1, c: 4}. Give prob of picking 2 c.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 348\/(-96) + 3\/(-8). Let r(a) = -a - 6. Let k(z) = z - 5. Let q(s) = -2*s + 4. Let l(d) = -3*k(d) - 2*q(d). Give u*l(m) - 5*r(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1362, -5600, -12664, -22554, -35270, -50812, -69180?\n\"Answer: -1413*t**2 + t + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 31 + 524 + -534.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/2 + 0 - 0. Suppose -2*b + 3 - 1 = -2*t, 5*t + 5 = r. Suppose b = -5*l + l + 3668. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 15*j - 1. Let m(o) = -7*o. Let k(b) = 5*m(b) + 2*x(b). Differentiate k(g) with respect to g.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -11 - -15 - 31\/(-2*1\/512).\nAnswer: 2, 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -0.3 (c) -1\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-6*(sqrt(204) - (sqrt(204)*1 + sqrt(204))))\/(sqrt(192) + -1*sqrt(192) - sqrt(192)))**2.\nAnswer: 3*sqrt(17) + 157\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/45 and 26\/4005.\nAnswer: 4005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 3:39 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 64306026 a multiple of 4626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 2, 10, 24, 44, 70?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 375*i - 6. Let z(n) = -377*n + 5. Calculate -5*t(k) - 6*z(k).\nAnswer: 387*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17846 divided by 2?\nAnswer: 8923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1094, 1097, 1102, 1109, 1118, 1129?\n\"Answer: c**2 + 1093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1*13\/(-26))\/(2\/(-12))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 4*n + 3. Suppose 4*u + 26 - 2 = 2*k, 2*u = -4*k + 8. Suppose 0 = k*p - 5*y - 60, y - 2*y = 4. What is the least common multiple of n and p?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10201 (base 4) in base 16?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 + 607. Suppose -12 + d = 5*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r + 131*r**3 - 64*r**3 + 13*r**4 - 1 - 9*r**4 - 66*r**3 as y*r + p + f*r**2 + m*r**4 + q*r**3 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + u - 64 = 0, 36 = 2*d + 2*u - 2. Let s = d + -13. Solve -2*f + 1 = 5*x, -5*x + 4*x + s*f - 7 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 l when two letters picked without replacement from {l: 2, x: 2, c: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1443\/56 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 2430?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-10) - (-27)\/60. Let f = 0.1 - -0.1. Which is bigger: f or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-12)*p*p*p*p**(-9)\/p)**(-11)\/((p*p**(-2)*p)**(-14\/9)\/((p*p**(-2\/7))\/(((p*(p*p\/(p**9*p*p))\/p)\/p)\/p))) assuming p is positive.\nAnswer: p**(1545\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2 - 11*k + 15. Let n be m(-11). Let g = -105 - n. Let p be (g\/(-2))\/(-1*2\/20). Solve 4*d + a = 19, p*a + 13 - 3 = d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16.36 + 14.966. Let r = -1.4 - z. Let y = -4.006 - r. Which is the nearest to -2? (a) y (b) 2\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bwn when three letters picked without replacement from {n: 3, a: 7, w: 1, b: 5}?\nAnswer: 1\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -1130*g**3 - 5*g**2 - 32*g + 3. What is w(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a**2 + 7*a - 15. Let c be j(-7). Calculate the highest common factor of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p + 214878 = -53*p + 613724. List the prime factors of p.\nAnswer: 7, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*o*v**3 - 5*o*v**2 + 1092*o - 7*v**3 + 100*v**2 + 27*v wrt v.\nAnswer: 24*o*v - 10*o - 42*v + 200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 438 and 1899606?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u + 3564 = 181*u. Solve -2*b + 8 = u for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j, h - 12 = -2*h + 5*j. Suppose h*k + 48 = 5*o, -9 = k - 5*o + 3. Let w be ((-5)\/10)\/(2\/k). Solve w*z - 2*g + 5 = 2*z, -5 = z + 2*g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and -0.5838.\nAnswer: -4.6704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 1429*u - 213. What is the units digit of n(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from swswwwswsw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 873*c + 2. Let h(r) = -220*r. Calculate 13*h(w) + 3*k(w).\nAnswer: -241*w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2*-1279966\nAnswer: 2559932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b0 (base 16) to base 3\nAnswer: 20112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 27*d**2 + 2. Is c(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-7)\/14)\/((-2)\/6)*292. Suppose 90 = 8*z - s. Is 33 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -3*h + 5826, h - 1351 = 3*p + 587. Is 36 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1732 - -1734. Let h = -135\/4 - -34. Factor -1\/4*r + 1\/2 - h*r**q.\nAnswer: -(r - 1)*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i - 3*a = -19*i - a - 2, 0 = -2*a - 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 53*d**4\/12 - 57*d**2\/2 - 106*d. What is the derivative of w(o) wrt o?\nAnswer: 106*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 630 * 0.7106.\nAnswer: 447.678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j - 4. Let s be l(-7). What is the first derivative of 3*a + a + s - 5 wrt a?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -23. List the prime factors of (2 + o\/(-2))*(10 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.24121 to one decimal place.\nAnswer: 14.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -17*h**5\/120 + 7*h**4\/8 + 7*h**3\/3 - 2*h**2. Let c(z) be the first derivative of d(z). Does 37 divide c(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(1088) + -1)*-6 - (sqrt(1088) + -1)*1)*-1 - (-2*(0 + sqrt(1088)) + sqrt(1088) + 1*(-1 + sqrt(1088)) + -5))*-1)**2 + 0.\nAnswer: -112*sqrt(17) + 53313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-22568)\/98 + 2\/7. Let m = l + 1132. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 110. Let u be f(-18). Which is smaller: u or 130?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -12593290*a. Let m(h) = -h**2. What is m(c(k))?\nAnswer: -158590953024100*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2191.7481 - -2192. Let i = n - 0.26267. Round i to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 c, and 1 x when three letters picked without replacement from gjcjttjwjttcjjjxjwgg.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, m: 1, a: 2, h: 2, p: 1, d: 1}. What is prob of sequence damp?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*q**5 + 2*q**5 - 3*q**5 + (4*q**3 - 5*q**3 + 0*q**3)*(3*q + 6*q**2 - 3*q).\nAnswer: -20*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -66\/247?\nAnswer: -66\/247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 7*t - 4*u = 12, -2*t - 2*u = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 take away 861312?\nAnswer: -861312.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*i - 2)*(807*i - 807*i + 60*i**4 + (2 + 1 - 1)*(-2*i**4 + 10*i**4 + i**4)).\nAnswer: 234*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 83?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 9 = 3*n, -4*t + n - 4*n + 18 = 0. Suppose 102 = 2*p - 3*c, -97 = -3*p - t*c + 86. What are the prime factors of p?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 10*q**2 - 4 + 10. Let v(z) = -28*z**2 + 18. Let u(p) = -17*a(p) + 6*v(p). Find the first derivative of u(s) wrt s.\nAnswer: -30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*r*y**3 + 105*r*y + 8*r + 1939*y**3 wrt r.\nAnswer: 3*y**3 + 105*y + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28265533269 + 0.35?\nAnswer: 28265533269.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*-10*(-3)\/(-18 + 0). Let f be 0\/(-2) + 11\/g + -3. Let m be 8\/(-30)*(-2)\/4. What is the closest to 1 in m, f, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 143638?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 50.5 or 311\/259?\nAnswer: 50.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*134482.\nAnswer: -40344.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + w + 4, 4*b - 4*w = -8. Let p = 4 - b. Suppose 3*k - 4*j + p = 0, 0 = k - 4*j - 3 + 17. Solve 2*r - k*r = 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -77, -27, -2.6, 0.4 in descending order.\nAnswer: 1, 0.4, -2.6, -27, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*m + 19, a + 2*m = -0*a + 16. Suppose a*z + 7 = 1. Are 2 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3618668 + 3618668 + 15*s**2.\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 3 - 4)*(6*i**2 - 4 + 4) - 3*i + 3*i - i**2)*(-15 - 6 - 22) to the form g + u*i + m*i**2 and give m.\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -424 - -794. Is i a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1 + sqrt(153) + -2 - (sqrt(17) + sqrt(17) + sqrt(17) + 1 + 4 - (3 + sqrt(612)))) + -1.\nAnswer: -9 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(891) + 1*sqrt(891))*1)**2 + -2).\nAnswer: 21372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 0 + -10 + (3 - 14) + 16\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.87 + -4.07. What is the closest to -38 in -4, 3, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 3:22 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 669\/11 + -61. Let i(o) = 2*o**2 + 62*o + 164. Let m be i(-28). Which is the closest to -1? (a) q (b) m (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1 = -5, c - 3*k - 17 = 0. Solve 12 = -c*x - 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in -2, -3, -5, 150?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-52)\/18)\/13 + (-832)\/(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -506 + 739. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 22*a + 78. Let z be j(-4). Let g(x) = x**3 + 11*x**2 + 9*x - 13. Give g(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.59 - -2.29. Let u = 6.27 + -6.07. Which is the nearest to v? (a) 5 (b) u (c) 3\/5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-8) - (-1 + 16\/4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 12*i**2 - 17*i + 2. Let w be g(1). Put w, 1, 5, 1814 in increasing order.\nAnswer: w, 1, 5, 1814","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 661*s - 9. Let b(i) = 2638*i - 34. Calculate 4*b(k) - 15*p(k).\nAnswer: 637*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-31)\/93 + 1654\/(-6). Let d = 3 - -6. Calculate the remainder when (8 + x\/9)\/(2\/(-3)) is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1285 is divided by 161.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2005 is divided by 817.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.732735 hours?\nAnswer: 2637846000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 520151997 to the nearest integer?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.2, 1, -3\/7, -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31930 = -10498*y + 420356 for y.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*g + 89 - 75 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 5*d**2 - d + 1. Let n be p(-5). Suppose 0 = -4*c + 4*o + 120, -2*o + 0*o = 3*c - 70. Calculate the remainder when c is divided by n*6\/16*4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46365 divided by -15.\nAnswer: -3091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.085 + 0.555. Let y = -0.36 - g. Let a(n) = -n**2 - n - 1. Let o be a(-2). What is the biggest value in o, y, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3124507973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 3*q - 6. Let c be b(6). Calculate the common denominator of 2 + -2 + (-38)\/c and ((-935)\/420 - -3)*8\/(-40).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -479.632.\nAnswer: 479.632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*o*w**4 - 1066353*o*w**3 - 5*o*w**2 - 2*o*w + w**4 - 33*w**2 + 3*w + 494 wrt w?\nAnswer: 168*o*w - 6398118*o + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -142 - -148. What is the hundreds digit of ((-1700)\/s)\/((-114)\/(-18) + -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**4\/8 - o**3\/6 - 5*o**2. Give q(-7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14834.97ml in litres?\nAnswer: 14.83497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-47)\/5 + (-6)\/10. What are the prime factors of (-564)\/b + (-8)\/20?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.1695 milliseconds in microseconds?\nAnswer: 30169.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, h: 4}. What is prob of picking 2 h?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*h*o**3 - 23895*h*o**2 + 2*h + 3*o**3 - 283*o**2 - 67*o wrt h?\nAnswer: 3*o**3 - 23895*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/195 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 287059301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 122885987?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -57 - -64 - (0 - -1 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-25)\/(-10) - 91\/((-1820)\/(-30)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 904596?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -9 + 4 + (52 - (13 - 9)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39? (a) -9\/5 (b) 10 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4, -5*w = i + i + 4. What is the remainder when i is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of f*p**2*v - 3*f*p*v*x - 4*f*v*x**2 + p**2*v*x**2 - 2*p**2 - 2*p*v + 3*x**2 wrt f?\nAnswer: p**2*v - 3*p*v*x - 4*v*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20122.337? (a) 5 (b) 2\/15 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*i - 1. Is 38 - (3 - i)\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71263, 142524, 213859, 285262, 356727, 428248?\nAnswer: 499819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -290, -536, -916, -1436, -2102?\nAnswer: -2920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3 - 27*w + 45*w + 1 - 22*w. Let y(u) = -u + 1. Determine -2*k(r) + 6*y(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1, 2, -22.\nAnswer: -22, -1, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(19) + -4 + sqrt(171) + 0)**2.\nAnswer: -48*sqrt(19) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(6292) + 4 - (sqrt(6292) + 1 + 1 + sqrt(6292)))**2 - (sqrt(6292) + -1 + 0)**2*-2.\nAnswer: -176*sqrt(13) + 18882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (5 - (5 - 9))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 11, u: 1, x: 8}. Give prob of sequence xq.\nAnswer: 22\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.413899 to three decimal places.\nAnswer: -1.414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nvl. What is prob of sequence lv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 45 = 2*s + s, -5*z = -2*s + 40. Let n be (-76)\/(-18) + 8\/(-36). Let i be (-25)\/(-15) + n\/z. Calculate the greatest common factor of 1 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 22 = 6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 10*b**2 - 196*b - 149. What is u(20)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 105237 and 56703609?\nAnswer: 623739699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 927, 3827, 8669, 15459, 24203, 34907, 47577, 62219?\n\"Answer: d**3 + 965*d**2 - 2*d - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -30*(-14)\/700*65\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 131589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411240 is divided by 68409?\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-4 + (-4)\/(3 - 11)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33\/5 + -3404\/515. Let g = -611\/721 + t. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) -0.8 (b) -3 (c) 16.736\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -0.2, -1.3, 0.3, -4, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 420*l**2 + 2*l + 938. Give r(-420).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x - 3 + 0*x + 3. Let p(d) = d**2 - d + d**2 + d. Calculate p(c(n)).\nAnswer: 32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 137 - 4 = -59 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1890, -1896, -1898, -1896, -1890?\n\"Answer: 2*d**2 - 12*d - 1880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n - n + 2*n + (3 - 3 + n)*(-4 + 2 + 0) - 2*n - 9*n - 8*n + (1 - 1 - 1)*(0*n + 0*n - n).\nAnswer: -22*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 45 + 17. Suppose 2*j = -0*j + 66. Suppose 2*y + i*q - 66 = 2*q, -y = -2*q - j. Round y to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 5*j + 2. Let r be k(5). Let v be r*(1 + (-20)\/8). Let z(m) = -2*m**2 + 3*m - 2. Let t(u) = 5*u**2 - 8*u + 5. What is v*t(n) - 8*z(n)?\nAnswer: n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fwfwfwwfwfgwwgggw. Give prob of sequence gfw.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2 + 7*o - 3. Let d(j) = -2*j**2 + 7*j - 3. Let z(n) = 4*d(n) - 3*r(n). Let i be (1 - 6)*13\/(182\/(-14)) - 0. Give z(i).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 40 = -g. What is the remainder when 14 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*k - 68*k = 10. Is k\/(-16) + (8 - 22556\/(-32)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 - 5336*q**2 + 2843331*q - 361713834.\nAnswer: -(q - 249)**2*(q + 5834)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -o**6\/2 + 3*o**5\/5 + 15*o**4\/4 - o**3 - 12*o**2 - 12*o + 29. Factor x(g).\nAnswer: -3*(g - 2)**2*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5194?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1619877?\nAnswer: 3, 7, 77137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-45)\/18)\/((-2)\/4) + -98. Let m be -3 - -1 - r\/31. Solve 0 = 2*p - p + m for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -14*o**2. Let b(j) = -j**2. Let v(u) = -12*b(u) + q(u). Let y(z) = 4*z. What is v(y(p))?\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -160132791*g*s**2 - 41396*g*s - 4*g - 130*s wrt s.\nAnswer: -320265582*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -3, -4*m + f + f - 66 = 0. Let u be (-86)\/3*13\/(442\/(-51)). Let i = m + u. Calculate the highest common divisor of 9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/10554 and -77\/87.\nAnswer: 306066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuc when three letters picked without replacement from {b: 1, c: 1, j: 4, u: 3, w: 5}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by (2\/6)\/(10\/30).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 6642 + ((-2)\/3)\/((-122)\/(-183))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3043341313 + 0?\nAnswer: -3043341313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.49301 millilitres to litres.\nAnswer: 0.04849301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + 4*r - 4*r)*(-5*r**2 - r + 4*r**2 - 1 - 4*r**2).\nAnswer: -5*r**4 - r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 6*a**2 - a - 1. Let o be q(6). Let n be -2*(49\/(-2))\/o. Let d be 3 - (n - -3) - -2. Solve 0 = -2*w + 1 - d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -4*g + 16 + 4, v + 3*g - 15 = 0. Let t = 3 + -1. Suppose t*u + 8 = 6*u. Solve v = b + u - 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 0) + 28\/(84\/12) - (2 - -8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 8*d**2 - 8*d + 6. Suppose 0 = 4*f - i - 27, 4*f - 29 - 4 = -5*i. Determine h(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1338 divided by 6.\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**3 + 13*v**2 + 2*v - 2. Let d(n) = -n + 1. Give 2*d(q) + k(q).\nAnswer: -2*q**3 + 13*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -29. Suppose -z*b + 15*b = 1288. Let u = b - 121. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1951, -3904, -5857?\nAnswer: -7810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5361 - 1160. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1, -23, 0.3, 389\/2, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 6 + 46. Suppose -3 = 4*s + q. List the prime factors of s\/(-14) - 66\/(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/(-7))\/(2\/7). Let h be (-10)\/m + 3\/9. Which is the closest to 0.2? (a) 1\/5 (b) 5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1*v*v\/((v\/(v\/(v\/(v\/((v**(2\/17)\/v*v*v)\/v*v)))*v))\/v))\/((v\/(v*(v*v*v**9*v)\/v))\/(((((v\/(v*v**(-9)))\/v)\/v)\/v)\/v*v)) assuming v is positive.\nAnswer: v**(355\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -698252, -2792981, -6284196, -11171897, -17456084?\nAnswer: -25136757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 40.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1027650971?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8013 times 3\nAnswer: -24039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22828980 - -64028965. Suppose 4*w + y = -0*w - 3*x, 30900025 = -3*w + 5*x. What is w rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*m + 159*m = 36. Solve 0 = 2*g + 1 - m for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-27 + 12 + -2 + -1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*c = -104150 - 755663. List the prime factors of c.\nAnswer: 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(((y*y**(2\/3))\/y)\/y))**(3\/25)*((y*y*y*(y**3\/y*y)\/y*y)\/y*y)**(6\/5) assuming y is positive.\nAnswer: y**(187\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12410 (base 8) in base 15?\nAnswer: 18de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/35568 and 137\/192?\nAnswer: 142272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 33 + 26 - 82 + 138*q**2 + 23. Let w(s) = 3 - 3 + s. What is w(j(t))?\nAnswer: 138*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w**2 + 664*w + 7691. Calculate y(177).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = 12*f + 3*h - 10, 3*h = 4*f - 38. Let y be (-2)\/((-16)\/9 - -2). Let p be (f + y)*(-58 - 2). Calculate the highest common divisor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 805545 and 4212.\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 18 = -8*f + 5*f, u = -4. Suppose -9*p = -f*p - 1624. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -u - 5*n, 157*u - 3*n + 151 = 128*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 2 - 3*l**2 - 4*l**3 - 4 in the form v*l**3 + b*l + j + s*l**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 10, i: 1, a: 2, p: 2, d: 5}. Give prob of picking 1 a and 1 i.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/3)\/(-3*(-1)\/(-81)). Suppose 7*v - t = v. Suppose -z + m - 8 = -v*z, -m = 4*z - 6. Solve -5*f + 4*w - 4 = -f, 0 = -z*f + 5*w - 17 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -22*v + 190. Let n(h) = -2*h + 19. Let g(k) = 10*n(k) - x(k). Let w(y) = -9432*y. What is w(g(u))?\nAnswer: -18864*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 2)*(-5 + 2 + 5) - 8 - 6 + 5)*(3*v - 4*v - 4*v).\nAnswer: 35*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1.6 (b) 10 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3213 (base 13) in base 8?\nAnswer: 15441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 51 = 279. Calculate the remainder when 768 is divided by l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 181 = -176, -2*m - j - 6*j - 35 = -12*j for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 327*h - 325*h + 1)*(-3*h + 3*h - 4*h**2).\nAnswer: -8*h**3 - 20*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -1217*u + 8527. Give r(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from spqlw. What is prob of sequence wlp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 52*w**2 + 47*w - 199. What is b(-51)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -10. Let n = 2798 + -2815. What is the closest to -0.1 in n, 1\/5, t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*-2*sqrt(209) - sqrt(209)))\/(-1*(sqrt(11) + 1*-2*sqrt(11))).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44757 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/11 (b) -2 (c) -10686 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kehnwvv. What is prob of picking 1 v and 1 h?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, k: 2, l: 1, d: 3, r: 2}. What is prob of picking 1 d and 1 l?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.014 (b) -1\/19 (c) -5 (d) 0.1 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*u + 5*a + 3, 0 = -4*u + 4*a + 8. Let b be (0\/(2 + 0))\/u. Sort b, 1, -4.\nAnswer: -4, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-2)\/(-3*12\/18) - -1 and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/((-6)\/(-27)) + -2. Calculate the common denominator of (3\/(-14) - (-16)\/(-56))*i and 117\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 226 - -5*(-2)\/5. Calculate the highest common divisor of 28 and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -165990513 (b) -0.5 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 11*k - 3. Let s be x(6). Let t be s\/42*(-2)\/4. Let v = -0.16 + 0.16. Which is the second smallest value? (a) -3 (b) 1\/8 (c) v (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -660 from -0.25077.\nAnswer: 659.74923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (4 - -1 - (1 + 5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1673576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 9*k + 5. Suppose z + 2*z = 6. Suppose 2*b + z*h = 20, b - 16 = -2*h - 1. Let f(v) = 4*v + 2. Calculate b*f(w) - 2*q(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**2 + s**3 + 3*s**2 + (-3 - 2 + 3)*(-4*s**3 + 5*s**3 - 2*s**3) - 1 + 2*s**3 + 1 - 2*s**3 + 5*s**3 + 0*s**3 - s + (s**2 + 0*s + 0*s)*(-4*s - s + 4*s).\nAnswer: 7*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -465 by 1.\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -543?\nAnswer: 2172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9338 is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123 - 285.03.\nAnswer: -162.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2947925957.\nAnswer: 2947925957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241048 is divided by 2988.\nAnswer: 2008","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -2 - 2) + 21 + -11\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1688756 divided by 4\nAnswer: 422189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 3*s**2 + 78*s + 1471. Let c(m) = -4*m - 52. Give 5*b(g) + 8*c(g).\nAnswer: -2*g - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p + 0*p + 5 + 4*p. Let u be s(4). Let n be (-8)\/(-68) + 87\/(-17). Sort n, 3, u in ascending order.\nAnswer: n, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**2 + 3*m**2 - 6*m**2)*(-33*m - 682*m - 66*m - 170*m + 11*m).\nAnswer: -940*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 6096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**2 + 15*j - 48. List the prime factors of h(-13).\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x + 2 = 0. Let m = -2 + x. Let a(s) = -s**2 - 4*s + 1. Give a(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -0.3, -4, -0.04?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-318\nAnswer: -31.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in 0.4, -14\/5, -3466?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of q**4\/24 + 2*q**3\/3 - 5*q**2. Let j be b(0). Solve -3*t - 6 = j*y, -3*t - 4*y = 2*t + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -51826, -207323, -466490, -829333, -1295858, -1866071?\n\"Answer: -j**3 - 51829*j**2 - 3*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -475307289302207 plus -4?\nAnswer: -475307289302211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (-13 - -3) - (13 - 5). Let s(l) = -l**3 + 5*l**2 - l + 4. Determine s(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 11:40 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -180 + 86 + 11*x**2 + x**3 + 96 - 9*x. What is m(-12)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -3. Suppose 8*d + 5*b + 70 = 12*d, -10 = 5*b. Suppose -10*w = -d*w + 10. Solve w = -5*n + 4*n, -4*p = g*n - 16 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 8*i**2 - 36*i + 12. Determine f(12).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 2, 5, -10 in descending order.\nAnswer: 5, 3, 2, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164 + 53*n - 258 - 180 - 158.\nAnswer: 53*n - 432","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*q - 94*q + 14*q**2 + 3*q**2.\nAnswer: 17*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*l - 246*l + 82*l + 207 + 85*l.\nAnswer: 4*l + 207","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 + -43. Put 3\/5, z, -3\/5 in descending order.\nAnswer: z, 3\/5, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99) + (sqrt(99) - (0 + sqrt(99)) - sqrt(99) - sqrt(99))**2 - (sqrt(891) - 3*sqrt(891))**2 - (sqrt(99)\/(sqrt(72)\/sqrt(8)) - (sqrt(539)*5)**2).\nAnswer: 2*sqrt(11) + 10307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3845001 is divided by 174772.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -144, -241, -338, -435, -532, -629?\n\"Answer: -97*y - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2836, 2857, 2900, 2971, 3076, 3221?\nAnswer: 3412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 1:52 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 192*j - 10. Let g(t) = 77*t - 4. Let d(h) = -2*c(h) + 5*g(h). Let s(i) = -72*i**2. Give s(d(b)).\nAnswer: -72*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -9.1 (b) 298 (c) 3 (d) -4 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -5*o**8\/336 - o**5\/60 - 3*o**2 + 3. Let w(x) be the second derivative of l(x). Find the third derivative of w(i) wrt i.\nAnswer: -300*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 10*b - 1. Let s be g(8). Which is greater: 0.3 or s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r + 19. Determine v(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 605532144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -371 - 371 - 378 + 77*j**2 + 1120 - 82*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16434 = -69*y + 85336 + 103736. Calculate the greatest common factor of y and 3614.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -1 + t + 1. Let i(q) be the second derivative of -5*q**4\/6 + 1465*q. Determine i(g(n)).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 137, 102, 41, -52, -183, -358?\nAnswer: -583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3796 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-110)\/1)\/(-4 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 13) to base 2\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from oovvvvovovooovvto?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 209797 divided by 41?\nAnswer: 5117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*b**2 + 10*b**2 - 11*b**4 + (b - b - b**2)*(-3 + 3 + 2*b**2).\nAnswer: -13*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5}. Give prob of picking 3 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 4:41 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1314 - 5?\nAnswer: 1305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**3 + 19*v**2 - 2614*v - 15722. Calculate i(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7508 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 335 - 333. What is the common denominator of -55\/3 and (254\/(-16) - n)\/((-42)\/(-8))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14423\/44 - -1303\/4. Let y = -7519\/24 - -902\/3. What is the common denominator of o and y?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n - 36972 = -50*n. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3665 + 0.5384. What is k rounded to two decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/102*(-68)\/51?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**6\/180 - 7*q**4\/12 + 20*q**3\/9 + 985*q**2. What is b in x(b) = 0?\nAnswer: -5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, t: 1, v: 4, f: 6, o: 3, j: 2}. What is prob of sequence ofrt?\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1549 = -31*y - 1890 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xv when two letters picked without replacement from {k: 1, v: 4, m: 1, i: 6, h: 1, x: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11 (b) -1 (c) -3 (d) -0.8 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 788 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 513489*s + 2101434?\nAnswer: 513489","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 - 4.6. Let u = 92.8 - 93. Sort i, 3, u in increasing order.\nAnswer: i, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3207, 3846, 4485?\n\"Answer: 639*y + 2568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -42? (a) 0.2 (b) -4\/5 (c) 5.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 85.\nAnswer: -7\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -21*c + 210. Let l(d) = -4*d + 42. Give 2*f(h) - 11*l(h).\nAnswer: 2*h - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4 = -5*f - 9, 3*k - 5*f - 43 = 0. Suppose -5*u = -8*u + k. Suppose 6*g - u*g - 44 = 0. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4058.69915 rounded to the nearest one hundred?\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.3, 6\/11, -1758599 in decreasing order.\nAnswer: 5, 6\/11, 0.3, -1758599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43 and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 6*z**2 + 35*z - 6. Let p be b(-6). What is the second smallest value in p, 1\/7, 2\/3, -15?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 - 20*a - 1146 - 1146 + 2292.\nAnswer: -a**2 - 20*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 101*k - 990. Let w be x(-9). Let z(h) be the first derivative of w*h - 3\/2*h**2 + h**3 + 11. Find the second derivative of z(u) wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/417 + -1259\/1668. Which is the second biggest value? (a) 4 (b) h (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 + 2. Let y(d) = 2*d**2 + d - 1. Let h(m) = p(m) + 2*y(m). Suppose 5*i + 20 = -5*j, 2*i = -3*i + 2*j - 6. Determine h(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 640 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.267 - -68.39. Round q to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8835 (b) -12 (c) 9\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4025717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fk when two letters picked without replacement from azfffkkfb.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - -0.9. Let n = 10.5 - 10. What is the closest to 0 in n, 0.1, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.04 times 2\nAnswer: 2.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -199.04?\nAnswer: 199.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 7*l + 10. Let s be g(8). Let a = 7808 - 7805. Sort -3, a, -5, s in decreasing order.\nAnswer: a, s, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -8*l**3 - 6*l + 1. Let f(o) = -o**3 + o + 1. Determine -4*f(s) + p(s).\nAnswer: -4*s**3 - 10*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 = -10*d + 45. Let h(y) = y**3 - 6*y**2 + 2*y - 7. Let m be h(6). Calculate the greatest common factor of d and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dltiithtiblb. What is prob of sequence bhb?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**7\/(t*t\/((t\/(t\/t**(2\/5)))\/t))*t**6\/t**(-2\/9) assuming t is positive.\nAnswer: t**(478\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 2*a**2 + 4*a - 1. Suppose 14*u = 441 - 483. Calculate s(u).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 464871044 to the nearest integer?\nAnswer: 21561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6416497\/16 or 401032?\nAnswer: 6416497\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001101 - 0?\nAnswer: -100001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3231, -12846, -28871, -51306, -80151, -115406?\nAnswer: -157071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + -31. Let b be 7 + -3 - (0 - y). Solve -p + b + 0 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1058000 to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 820270 to the power of 1\/2, to the nearest integer?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -2\/13 (c) 396 (d) 8 (e) 17 (f) -91\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**3\/11 - 10*i**2\/11 + 13*i\/11 + 2 = 0. Calculate i.\nAnswer: -11, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-682)\/272 - 8*(-12)\/(-816).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2*sqrt(425) + -4 - (sqrt(425) + -2 + sqrt(425) + 0))*-4)**2.\nAnswer: 32000*sqrt(17) + 2721600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*r + 34*r = 2*m + 18, 3*r = -2*m - 23 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6732242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1051693, 4206818, 9465377, 16827370?\nAnswer: 26292797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7075, 15475, 23875, 32275, 40675, 49075?\n\"Answer: 8400*w - 1325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238150*p**3 - 42012*p**3 + 247189*p**3.\nAnswer: 443327*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22200263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 360 divided by 4.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.6 and -64.38940716544.\nAnswer: -63.78940716544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o - 1272 = 13*o + 106*o for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 128406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w. Let t be o(-5). Is 5 a factor of t\/(-2) + (-6)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -13*h**7\/6 - h**5\/5 + 2111*h**4\/12 - h**3\/3 + 4441*h + 1. Find the third derivative of t(w) wrt w.\nAnswer: -5460*w**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 223 - 433. Let n = l + 245. What is the remainder when n is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 742240.2 from -1308.\nAnswer: -743548.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 0)*-1 + 2. Let w(f) = -f**3 - 35*f**2 - 220*f - 106. Let n be w(-27). Solve -2 = -4*v - 3*g + 5, -n*v + c*g - 2 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27567 + -2?\nAnswer: 27565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -284.03 + 284. Which is smaller: h or 2.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319621.\nAnswer: 137, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -32*z - 2. Let b(h) = -184*h - 66. Let v(w) = b(w) - 6*y(w). Give v(9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -54?\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 202*x**2 - 217*x - 2. Let k(o) = 6*o**2. What is b(k(d))?\nAnswer: 7272*d**4 - 1302*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-74)\/(-20))\/(451866\/5461 - 83) - (-4)\/(-110)?\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o - 11. Let n be r(6). Let x be 2 + n + (-840)\/63. Are x and -11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*q)*(411 + 198 + 1505).\nAnswer: 4228*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/21, -1, 2\/3, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 103708 and 440?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -14\/9, 9\/4, 1\/5, -0.3 in decreasing order.\nAnswer: 9\/4, 1\/5, -0.1, -0.3, -14\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 4, 2\/9, 0.04, -2\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 372 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 771 smaller than 81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -6*b**2\/5 - 26*b - 40 = 0.\nAnswer: -20, -5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (4220\/10)\/(-2 - -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -179 + 209. Calculate the lowest common multiple of w and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.515 - 6\nAnswer: -5.485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of l**2*m**2 + 302104*l**2 + 4681*m**2 wrt m?\nAnswer: 2*l**2*m + 9362*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + 1)\/((-5)\/(-305)*-1). Let j = i + 367. Calculate the highest common factor of 115 and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 7*y**3 + 173*y**2 - 48*y + 25. Calculate g(-25).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -0*y + 2*y. Suppose -y = 2*h - 69. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1228307 to the power of 1\/2, to the nearest integer?\nAnswer: 1108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f - 2. Let i be b(-4). Let x = 2 + i. Suppose 0 = 3*y + y. Solve y = -4*j - x*t + 3 + 1, 3 = 3*j + 2*t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uptujpukppp. What is prob of sequence tuu?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1241500 and 125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -195, -1906, -6547, -15582, -30475?\n\"Answer: -244*h**3 - h**2 + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/8 and 43\/2000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1770 and 29137209?\nAnswer: 291372090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/40*4\/((-16)\/(-6))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -67? (a) 17 (b) 2 (c) 0 (d) 139\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 76478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 28958.78 to the nearest one thousand.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -60 - 90. Let y = x + 49. Is 3*(-4)\/12*(1 - y) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000468375005 rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -239 + (132 - (12 - 32)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 188 = -13. Let y = r + -51. List the prime factors of 1 - (2 + y)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate w**2*z - 122134523*w**2 - w*z - 2*w + 211924613*z + 2 with respect to w.\nAnswer: 2*w*z - 244269046*w - z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37348045?\nAnswer: 5, 7, 152441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-27)\/(-9)*(-2)\/(-6). Let m be ((-38)\/(-4))\/(i\/22). What is the highest common divisor of 19 and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242) + -1 + -2 + 1 + 4.\nAnswer: 2 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4186 and 521990014.\nAnswer: 4186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178416?\nAnswer: 2, 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/3 + 98*v**2 - 1495*v\/3.\nAnswer: v*(v - 5)*(v + 299)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m - m**2 - 3*m + (m**2 + 0*m**2 + 0*m**2)*(1 + 1 - 4) - 3*m**2 + m**2 + 0*m**2 - 2 + 3*m**2 - 7 + 7.\nAnswer: -2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 g when two letters picked without replacement from ekgegegegsgckgegssg?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -21*g - 0*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s**2 + 6*s**2 - 1 - s - 3*s**2. Let k(u) = 6*u**2 + 6*u + 6. What is k(w) + 5*t(w)?\nAnswer: w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11230 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - -74. Let i = m + -82.14. Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 2*l**2 - 3*l**2)*(-5 - 5 - 2).\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -82*c - 27. Is r(-43) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 3.5 (c) -28 (d) 3 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**5\/20 - w**4\/2 - 3*w**3\/2 - 14*w. Let b be m(-4). Solve -b*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 353372 to the nearest integer?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-405)\/(-63) - 4\/(-7). Suppose -5*o - 2 = 3. What is the units digit of (o - x)\/(10\/(-135))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3115, -3014, -2913, -2812, -2711, -2610?\nAnswer: -2509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13883236 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -11. Which is greater: -50\/7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2041087.\nAnswer: 491, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 + -22. Let h = -2 + 6. Suppose h*l + t = 2*l. Put -4, l, 0 in decreasing order.\nAnswer: 0, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*g + 5*u - 3, -5*g + 10 = 5*u. Let h be g + -8 + -3 + 24. Solve 5*v - h + 21 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**3*m*m*m*m\/m**(-2\/11)*(m**(-3)\/m)\/m**9)**(2\/19) assuming m is positive.\nAnswer: m**(-106\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 804 and 111220?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1685)\/(-52235))\/(35\/155)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 189, 355, 503, 633, 745, 839, 915?\nAnswer: 973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 45 = -2*a, -20 = 2*a + t - 75. Let n = a + -18. Suppose -5*r + 18 = -7. What is the remainder when n is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 5*o**3\/3 - 9*o**2\/2 + 21*o + 2. Let z(d) = -2*d**2 + 3*d - 7. Let q(b) = -3*n(b) - 8*z(b). List the prime factors of q(5).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10727728 by -176.\nAnswer: -60953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 6*w + 3. Let b be q(7). List the prime factors of (-38)\/(-5) + 4\/b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5*d + 22015 = 0, -2*d + 7*d = u - 4407. Calculate the greatest common divisor of 142 and u.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11121202000222 (base 3) to base 8.\nAnswer: 11273402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -20. Suppose 10 + 2 = s*a. Solve 0 = a*m, i = 5*m - 3 - 2 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12001 (base 7) in base 3?\nAnswer: -11020101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*k - 2*w - 93 = 177*k, w - 36 = -k. Solve 31*n + 2 = k*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 9) in base 13?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 12*z. Let m(b) = 24*b + 2. Calculate 2*m(c) - 5*t(c).\nAnswer: -12*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h**3 + 124*h**2 + 158*h - 4956. Determine a(31).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 261073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 divided by 6?\nAnswer: 49\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + l + 1. Let v(g) = 4*g**2 - 2*g - 6. Let n(a) = 3*u(a) + v(a). Suppose 4*c + 1 = -15. Calculate the lowest common multiple of 3 and n(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 4*y + 16, 6 = 2*m + 2*y - 6. Let k be ((-27)\/18)\/((-2)\/4). Is k at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 38\/4 - (-6)\/(4 + 2). Is 12 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 greater than or equal to 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -0.31?\nAnswer: 1.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -303.2849 * -0.08.\nAnswer: 24.262792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 231143 - 231101.4172. Let w = b - 41.5. Round w to 3 decimal places.\nAnswer: 0.083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**6\/x)\/(x*x*x**(-3\/14)) assuming x is positive.\nAnswer: x**(45\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.3, 5880, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 5 = l + 4, 4*l + 16 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*a + 6946 - 3662 = -9128 for a.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 19 - (699 + -695)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1204b1 (base 12) to base 9.\nAnswer: -483167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m - 1. Let j(g) = -2*g. Let q be j(-3). What is the least common multiple of f(2) and (-27)\/6*(-4)\/q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of n**3\/3 + n**2 + 2*n - 2. Calculate p(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30304 - -53332. List the prime factors of t.\nAnswer: 2, 3, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 9*z + 26. Let s be m(-5). Let g be (24 + s)\/((-2)\/1234). Is g\/(-15) + 3\/9 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.241 + -0.2411605. What is z rounded to five dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80080 by -5.\nAnswer: -16016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + 4 + 1 + 1. Let u = 4 + -2. What is the derivative of 10*r**2 + r**2 + 6*r**u - c*r**2 + 4 wrt r?\nAnswer: 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 14 + 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 + -47. Is g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 134.110574 to two decimal places.\nAnswer: 134.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -378776*a - 1893858. Give d(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i. Let v(z) = 29*z + 55. Let f(j) = -7*j - 14. Let h(q) = -9*f(q) - 2*v(q). Give w(h(r)).\nAnswer: 10*r + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -175, -396, -705?\nAnswer: -1102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 672 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6 - 3)*(-798*t + 457*t - 754*t).\nAnswer: -4380*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, 2\/11, 14, -4.\nAnswer: -4, 2\/11, 14, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 - c. Let t = -15 + 10. What are the prime factors of o(t)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-6))\/(-1)*-2. Suppose d - 5 = -a. Suppose 2*w + a = 24. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9855.\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 531*45\/(-36)*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13303 (base 12) to base 15.\nAnswer: -7c20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(3388) - -1*sqrt(3388)*2)\/(-2*sqrt(8)\/sqrt(2)*-2).\nAnswer: -99*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -442 by -1.\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 11*t + 9. Let p be m(-11). Suppose p*c = 7*c + 30. Suppose 2*y = -4*q + c + 417, 4*y - q - 855 = 0. Does 27 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -5*y - 2*j, 5*y + 0*j = j + 71. Let v be -6 - -9 - y\/(-1). Suppose 0 = 5*r - d - 108, r - v = 2*d + 10. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10866 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 119575619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -33754, -33760, -33766, -33772, -33778?\n\"Answer: -6*x - 33748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1374 - -488913291\nAnswer: 488914665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24701\/1081 or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**2 - 4*l**2 - 945 + 945.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r - 1. Let j be (66 - 10)\/8 - (5 + -2). Let q(u) = -u**2 - 4*u + 26. Determine j*p(w) - q(w).\nAnswer: w**2 - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/5*(-8925)\/420.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 4\/5 (c) -372\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from elelwwll. What is prob of sequence leel?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 - 72. Let o(j) = 16*j**3 - 9*j**2 - 5. Let s(r) = -17*r**3 + 10*r**2 + 6. Let h(z) = f*o(z) - 5*s(z). Find the third derivative of h(l) wrt l.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s + 18*s - s + 1818 - 1839.\nAnswer: 10*s - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6273.23077 and 4.\nAnswer: 25092.92308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 689954532.\nAnswer: 2, 3, 57496211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2498 - 2503. What is the biggest value in r, 3\/2, -26, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/111 and 43\/74.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 173448113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*g**3 + 31*g**3 - 62*g**3 + 20*g**3.\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 3*o**2 + 2*o - 9. Let k be j(-7). Suppose 4*f + r = -k, -2*f - 2*r - r - 99 = 0. Find the common denominator of f\/4*(-5)\/165 and 23\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -27 - 78. Solve 2*u + o = -3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 5 (c) -13\/7 (d) -0.3 (e) 1.5 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1803570, 1803572, 1803578, 1803588, 1803602, 1803620, 1803642?\nAnswer: 1803668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.9 and -1082 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-57)\/(-76))\/((15\/160)\/((-54)\/(-12))*-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*c - 4. Let p(j) = -j**3 + j**2 + j. Let r be p(-1). Let o(l) = 15*l**2 - 1. Calculate the lowest common multiple of o(r) and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8245409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/2)\/(3\/(-6)). Suppose -2 = o - 5*o + 3*f, n = -5*o + 2*f. Let j be 0\/(9\/(-6)*68\/(-51)). Sort j, o, 5 in ascending order.\nAnswer: o, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -660, -657, -652, -645, -636, -625, -612?\n\"Answer: j**2 - 661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 b when four letters picked without replacement from {b: 11, j: 1, s: 2, z: 1}?\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 3 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -34, -31, -20, 5, 50, 121, 224?\n\"Answer: y**3 - 2*y**2 + 2*y - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 837 and 9.992?\nAnswer: 827.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(18)*-1)\/sqrt(9) - (1*sqrt(128))**2 - ((sqrt(200) + (sqrt(200) - (-4 + sqrt(200) + sqrt(200))*3 - sqrt(200)))*-6)**2).\nAnswer: -172796*sqrt(2) + 741248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*d**2 + 704*d - 4008.\nAnswer: -2*(d - 6)*(3*d - 334)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28609, -28608, -28605, -28600, -28593, -28584, -28573?\nAnswer: -28560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r + 0*r - 4*r)*(-3*r**2 + 39*r**2 - 4*r**2 + (0 + 0 - 2*r)*(2*r - r + r)) to the form s*r + v*r**2 + l + u*r**3 and give u.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 455*t**3*z + 440*t**3 + 562*t**2*z - 14319*t**2 + 34*t*z wrt z.\nAnswer: 455*t**3 + 562*t**2 + 34*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*m - 19 + 64 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2154*l - 30186. Determine x(-14).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 10*k**2 + 26*k + 172. Give j(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3469 - 7199*n - 126*n - 3469.\nAnswer: -7325*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4264, -8810, -13336, -17830, -22280, -26674?\n\"Answer: 2*v**3 - 2*v**2 - 4554*v + 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 4*u + 267, 0*w + 266 = w + 5*u. Let h = -192 + w. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - sqrt(102)*-1*2)\/sqrt(6))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10330003 (base 5) to base 10\nAnswer: -89378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 551239 is divided by 66?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3460022, -6920056, -10380110, -13840190, -17300302, -20760452, -24220646, -27680890?\n\"Answer: -t**3 - 4*t**2 - 3460015*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 9, d: 2}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 3*f + 9, -3*m + 9 - 2 = -4*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 403? (a) 0.1 (b) 170 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*a - 13*a - 20*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3183959, 3183972, 3183999, 3184040, 3184095?\n\"Answer: 7*k**2 - 8*k + 3183960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15624 divided by 448?\nAnswer: -279\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 plus 22.08?\nAnswer: 22.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.04 + -3.64. Let s = 3.5 + y. Which is the closest to 2? (a) 0.2 (b) s (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/57 or 12827?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**3 + 655*z**2 - 2030*z - 2680 = 0.\nAnswer: -134, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwrmrwssrsw. What is prob of sequence rs?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 52a36 (base 15) in base 14?\nAnswer: 6b78c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*p - 9176, -67*p + 9174 = 3*a - 70*p. Calculate the greatest common divisor of 36 and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23623379 to the power of 1\/3, to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 5:00 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-432)\/(-504)*(-4)\/3.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2034767*v**2 - 4069274*v**2 + 2034501*v**2.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 8*y**2 + 34*y - 1. What is the remainder when i(-5) is divided by 84?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*f**4 - 3*f**4 - f**4 + (2*f - 3 + 3)*(-2*f**3 + 0*f**3 + 3*f**3) + (4*f + 3*f + 0*f)*(0*f**2 - f**3 + 0*f**2) + 0*f**4 - f**4 + 9*f**4.\nAnswer: 5*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -119.97 + 121.97. Which is the second biggest value? (a) 2\/23 (b) k (c) -1537\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(9\/2)\/d*d)**(1\/9))**(-37) assuming d is positive.\nAnswer: d**(-407\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2996923?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 14*a**2 - 4*a - 639. Give x(-15).\nAnswer: -804","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 116125958?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 950 - 957. Let k(s) = 2*s**2 + 14*s + 5. Determine k(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 2*o. Let b be n(-5). Let u = 21 + b. What is the second derivative of 4*r - 7*r + 6*r + u*r**4 + r wrt r?\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -4. Calculate the common denominator of (1\/(-10))\/(y\/(-14)) and 52\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 13*r - 300. Calculate y(22).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 240 + -158. Calculate the remainder when 235 is divided by f.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/(l*l*l**(-4\/11)))\/l)\/l*l*l)\/(((l**(-20)*l)\/l*l)\/l) assuming l is positive.\nAnswer: l**(224\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 21 = -3*b - 0*q, 5*b = -2*q + 34. Let p(o) = -b*o + 4*o - 2*o. Let k(y) = -2*y**2. Calculate p(k(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 3*l**2 + 5*l - 1. Calculate c(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -344265\/44 - -7824. Calculate the common denominator of v and -69\/112.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 6*v. Calculate r(9).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -687.11 and 175856?\nAnswer: 176543.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -556 - 630 + 2*v - 515 - 11*v - 504 + 2205.\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -78*4\/((-200)\/15). Let c = -1512\/55 + m. Calculate the common denominator of 107\/10 and c.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38885779 is divided by 2839.\nAnswer: 2835","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 14*m**3\/27 + m**2 + 4*m\/9 + 6. Factor c(h).\nAnswer: 2*(h + 1)*(7*h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 308.592465 from 0.1.\nAnswer: -308.492465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1206 - -1207. Let q = -109\/2 - -53. Put n, q, -0.4 in decreasing order.\nAnswer: n, -0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 56 + 188 - 7 - 37 + 15*n + 8*n**2 + 128 wrt n?\nAnswer: 16*n + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18803.53 and -0.3?\nAnswer: 5641.059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -20379 + 1\nAnswer: -20378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 12 = 11*i - 4*j, 4 = -i + 2*j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6*((-144)\/(-3))\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((1*sqrt(91) - sqrt(91))*4 + sqrt(91) + sqrt(91))\/(sqrt(21)\/(-1*sqrt(3))).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2400 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 9.101. Let o = k - -0.1009988. What is o rounded to 7 dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/23))**(-2\/11)*(f*f\/(f**(-6)*f*f))**(2\/25))**(22\/9) assuming f is positive.\nAnswer: f**(6272\/5175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 17. Let m = 32 - u. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 14*g**2 + 12*g - 17. Does 30 divide c(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -46\/11, 1, -42.18, 5 in decreasing order.\nAnswer: 5, 1, -46\/11, -42.18","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -435 - -1376\/3. Let m = -24 + d. Let k be -2 - (2 - 26\/6). Which is the nearest to 0.1? (a) 0.5 (b) k (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 7 + 0 = 0. Let r(y) = 7*y**2 + y + 9. Is r(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-4) - (0 + 1). Let v = 259 + -254. Which is the closest to r? (a) v (b) 2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 3 = y. Let d be 4\/(-6)*3858\/(-14). Let i = d - 184. Is i at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5721 times 6.12?\nAnswer: 35012.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + sqrt(3)*1) - (sqrt(1728) + 1).\nAnswer: -25*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 11648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24635136 and 768?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -67176?\nAnswer: 67173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 821 - 819. Let n = -6 - -5.7. Let w = n + 0.5. Is w < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 340 (base 5) in base 2?\nAnswer: 1011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**1)\/y*y*y*y**(1\/5)*y**(-1\/5)*y*y**(2\/3))\/((y**(-1\/3))**(3\/19)*((y**(-2\/3)\/y)\/y)**(-14)) assuming y is positive.\nAnswer: y**(-1859\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 4 = 3*x. Suppose -3*p + x*p = -3*g - 48, -168 = 3*p + g. Round p to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 284352 - 147863093\/520. Calculate the common denominator of b and -59\/156.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*m - 15 = 65*m. Solve 2*v = -m*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -629*w + 332*w - 234 = -315*w for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*(-19)\/(152\/8).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*j - 77*j - 3069 + 539 = 122*j for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 x when two letters picked without replacement from xxmwwlxxhhxhx.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 3:03 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/2 (b) -4 (c) 6\/5 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 20 = -z. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 228008650 and 2224.\nAnswer: 1824069200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -736858 and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5*d - 2. Let l be (27\/(-12))\/((-3)\/36). Let a(t) be the third derivative of -11*t**4\/4 - 9*t**3\/2 + 32*t**2. What is l*y(g) - 2*a(g)?\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43 + 16 - -25) + 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 6 + 2*g + 19 + g.\nAnswer: 3*g + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 4. Let n be ((-2)\/(-8))\/((-3)\/(-6)). Which is the smallest value? (a) n (b) 3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3677497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -12, 9, -24, -392 in descending order.\nAnswer: 9, -1, -12, -24, -392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -371, -367, -377, -407, -463, -551, -677, -847?\nAnswer: -1067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*c - 75 = 0, c - 97 = -4*m - 4*c. Suppose -5*v + 7 = -m. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-3*sqrt(5)*-2 - (2*sqrt(500))**2))*-4 + -4 + 5 + (sqrt(245)*1)**2 + -5.\nAnswer: -24*sqrt(5) + 8221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30\/(-14) - (-57840)\/3374. Let g(l) = 1 + l**2 + l**2 - l**2. Let h be g(-1). Solve -u = -h*q + 7*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 425\/10*((-1104)\/(-120))\/23?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -1\/18*n**3 + 0 + 11*n - 1\/4*n**2 + 1\/72*n**4. Determine k, given that c(k) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 992 and 936944.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12965710?\nAnswer: 2, 5, 1296571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 13 = 4*g - 0*t, -5*t - 20 = 5*g. Let x(m) = m**3 + 8*m**2 + 9*m + 3. What is x(g)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2886025, -11544079, -25974169, -46176295, -72150457?\nAnswer: -103896655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -1\/3 (b) -5 (c) -17\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1247\/(-4) + (-6)\/(-8). Suppose -12*z + 54693 = -110*z - 79*z. Are z and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-6\/5))\/n*n)**(1\/12))**(-13) assuming n is positive.\nAnswer: n**(13\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1 - -2)\/(-1))\/((-480)\/24 + 23).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.41 rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5867 - -5867.03. Which is the nearest to -2\/3? (a) 64 (b) 0.3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -10*b - 1080. Suppose -70 = 2*w + 150. Let y = w - b. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 + 129. Calculate the remainder when x is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -20*c + 88. Let h = 22 + 28. Suppose -19*n = -14*n - h. Is c < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 84.3 + -84.4. Let i = -2.1 - -2. Let g = i + -0.4. Which is smaller: u or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 6*v - 1. Let l(f) = -2*f**2 + 17*f - 2. Determine -3*l(i) + 8*n(i).\nAnswer: -2*i**2 - 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 1.9311.\nAnswer: 9.6555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 74145670 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-16))\/((1210\/(-55))\/(-3696))\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g + 19403. Let h(k) = -46*k. Give h(m(t)).\nAnswer: -46*t - 892538","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, d: 2, b: 7}. What is prob of sequence bm?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 989.17 (b) 27 (c) 0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 102*f + 762. Let n be u(109). Let s = 3.04 + -3. Which is the second smallest value? (a) n (b) s (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153 divided by 10000.\nAnswer: 153\/10000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 4 + -5 + -4 + 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-560)\/(-6)*173736\/889?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(1100) + sqrt(1100)*-3).\nAnswer: -sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4270 = 3*f + 5*z, -4*f - 88*z = -86*z - 5684. Calculate the least common multiple of 1278 and f.\nAnswer: 12780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 - 3)*(2 - 2 + z) + 12*z - 14 + 6 - 13*z - 2*z - 4*z + 4*z in the form j + h*z and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 5*g - 10. Let b = -4 - -8. Suppose 7 + 21 = b*r. Is d(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6847671?\nAnswer: 3, 137, 16661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 4*l + 5. Let o(h) = h**2 + 4*h - 5. Let x(k) = -5*m(k) - 6*o(k). Give x(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 17. Suppose 0 = -a*w + 133 - 48. Suppose 4*m - 16 - 16 = -n, -4*n + 20 = 4*m. Calculate the remainder when w is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (16 - 14)\/((-1)\/(-1)). Find the third derivative of -9*a**q + 2*a**4 + 0*a**4 + 4*a - 4*a wrt a.\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 224 - 58. Let z = v - 165.8. Which is the nearest to 0? (a) -0.4 (b) z (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -29*p - 50. What is u(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbzbbbusususupzuuuz. What is prob of picking 2 b?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -130*s**5\/3 + 1076*s**4\/3 - 7534*s**3\/15 - 7876*s**2\/15 - 408*s\/5 + 48\/5 = 0.\nAnswer: -2\/5, 1\/13, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 404, -3 in increasing order.\nAnswer: -3, 0, 404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -8. Let g = z - -6. Factor -6*j - 9*j**3 - 9*j**2 + 0*j**g + 6*j**3.\nAnswer: -3*j*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1524 + -0.3524. Let o = 0.79 + 0.21. What is the nearest to 2\/7 in o, -4, -16, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, -2\/5, 2\/13, -3 in increasing order.\nAnswer: -3, -2\/5, -0.09, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6651 + 0.5.\nAnswer: -6650.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52823 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 7:44 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 12:35 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6932 divided by 5.\nAnswer: 6932\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/32 of a minute?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 225\/391 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 374 = 3*t, 2*d + 2*t - 144 = -2*t. Let y = -42 + d. Suppose -f - f + 13 = h, 4*h - f = y. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1775 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3\/8 (b) -0.1 (c) 515 (d) 82 (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*o + 36*o + 22*o to f*o + t and give f.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zu when two letters picked without replacement from {t: 1, k: 3, u: 1, z: 10}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -73888 or -7758266\/105?\nAnswer: -73888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 923454 and 1323?\nAnswer: 923454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*m + 1210 = -m, -m - 1607 = -4*c. Suppose 7*b - 150 = -2*o + 2*b, -b = -5*o + c. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (-6)\/7)*(-91)\/39*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + m - 2*x = -24, -16*m - 1892 = -11*m - 10*m - 117*x for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 44*q + 16. Let g(h) = 3*h**2 + 106*h - 34. Let w(i) = -2*g(i) - 5*n(i). Suppose -b = u + 4*u + 12, 0 = -5*b + 2*u + 48. Give w(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -19076 (b) -4 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -30d (base 16) to base 5\nAnswer: -11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uhhuuhuuuuuuuh. Give prob of sequence hhhh.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*i + 986 = 87*i. What is the third derivative of 18*w + 69*w**2 - 68*w**5 + i*w + 118*w**5 + 161*w**5 - 36*w - 2*w**3 wrt w?\nAnswer: 12660*w**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (40\/(-12))\/(-5)*20673\/6. List the prime factors of (-60)\/48 + j\/4.\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b + 2. Let l(m) = -2*m + 1. Let y(z) = -3*k(z) + 2*l(z). Calculate the lowest common multiple of y(3) and 4\/(-18) + 66\/54.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l - 26. Let b(g) = 2313272*g**2. What is r(b(q))?\nAnswer: -9253088*q**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1504?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3 + 4*-2*sqrt(275) + 1 + sqrt(275) + 1 + sqrt(275) + 1*(-2 + (sqrt(275) - (sqrt(275) + -1))) + -3)**2.\nAnswer: 180*sqrt(11) + 9909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1904825*-752.\nAnswer: -1432428400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2*f - 2)*(-f - 2 + 2)*(10*f**2 + 10*f + 3*f - 15*f) to the form b*f + k*f**3 + w + y*f**4 + i*f**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*y + 2*t = 16, 2*y = t. Suppose 5*v = 2*m + 3, -3*v + 0 = m - 4. Sort -3, y, m.\nAnswer: -3, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/5)\/(6237\/2520)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -784712, 0.12, 0.3?\nAnswer: -784712","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/504 and -35\/342?\nAnswer: 9576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 2*q + 46, -2*t - 3*q = -4*q - 13. Calculate the remainder when 29 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -d - 445. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 0. Suppose -s + 20 = -j*s. Let d = -1 - s. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4698163919 to the power of 1\/3, to the nearest integer?\nAnswer: 1675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/90)\/((-494)\/(-702)))\/(33\/110).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.063617 and -76.\nAnswer: -76.063617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 13*u**4\/24 - 56*u**3\/3 - 7*u**2 + 9*u. Let j be l(9). Let k(h) = -h - 1. What is k(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.0506 + -140.8396. Let t = h - 0.211. Let r = t + 131.0254. What is r rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2376 and 3900204?\nAnswer: 7800408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*o - 27, -o - 65 - 11 = -5*g. What is the highest common divisor of g and 7185?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k**2 + 38*k + 6. Let s(m) = -1714*m + 53 - 4*m**2 - 58 + 840*m + 836*m. Give 5*a(z) + 6*s(z).\nAnswer: z**2 - 38*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2101 * -22624\nAnswer: 47533024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/22218 and 101\/41202.\nAnswer: 21795858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -2 - 2) + 0 + -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -366 - -366. Do f and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + -3. Let f = 20\/301 - -48421\/602. Let s = f + -79. Sort u, s, -3\/8.\nAnswer: u, -3\/8, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(-50)\/90*3)\/(11\/33)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - 0.5. Let j be (-220)\/(-63) + -2 + 0. Let m = 16\/9 - j. Which is the second smallest value? (a) m (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46\/(-46))\/((-6)\/(-170)*20\/36)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-23)\/((-1127)\/28))\/((-6)\/(-21)*-3))\/(-5).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 3110567.\nAnswer: 34216237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 3. Suppose -r + 3*l + l = 14, q*r = -l + 8. Suppose -3*z = r*z - 60. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3465729 micrometers to centimeters.\nAnswer: 0.00003465729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-12))\/(-2*(572\/(-825))\/(-26))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -581? (a) -2 (b) -0.23 (c) -5 (d) 1\/30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 63 = 2*h + 3*h - 59, -2*h + 89*p - 43 = -4 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n*n\/n**(2\/5))\/n)**(-17\/6)\/(n**(1\/3)\/(n**(1\/9)\/n)))**(2\/7) assuming n is positive.\nAnswer: n**(-74\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 6:58 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 157140013 to the power of 1\/4, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -3, 5, -1, -6837, -2 in decreasing order.\nAnswer: 5, -1, -2, -3, -37, -6837","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*l - 25*l - 132 = 0. List the prime factors of l.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 0*y**3 - 13 + 0*y**2 + 9\/4*y**4 + 17*y. What is the derivative of m(g) wrt g?\nAnswer: 27*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4*q - 109 = 0, 5*n - 167 = -8*q + 5*q. Suppose -n*u + 23*u = -3536. What are the prime factors of u?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -270606, -270605, -270604?\nAnswer: -270603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 4:57 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -137*z**4\/2 + 20*z**3\/3 - 113. What is the third derivative of i(u) wrt u?\nAnswer: -1644","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -120037752*l**4 - 2*l**2 + 2*l + 14290100 wrt l.\nAnswer: -2880906048*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in 2\/5, -3\/5, 1, -11, -4?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(539) + 1)*-6*5 + (sqrt(539) + (sqrt(539) - (-2 + sqrt(539)*3 - sqrt(539))))*-3) + -4)**2.\nAnswer: 131040*sqrt(11) + 4376716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -526441, -1052882, -1579323, -2105764, -2632205, -3158646?\nAnswer: -3685087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 1. Let p(g) = 6*g - 3*g - g**3 - 3*g**2 - 7 + 7*g**2 + x*g. Suppose -y + 19 = 4*y + 2*a, 2*y - 3*a = 19. Determine p(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/((392\/12)\/14).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 8*n**2 + 32*n + 130. What is g(-4)?\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.126 + 88.874. Let a = 23795 - 118977\/5. Is b greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -8. Suppose -5*o - 5*p = -0*p - 16584675, -5 = -5*p. Suppose -o = -x*s + 283066. What is s rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than or equal to 1123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 15*l**2 - 2*l + 13. Let c(u) = -u - 1. Let q(s) = -5*c(s) + p(s). Let k(a) = -a**2 - a - 1. Let r(z) = 12*k(z) + q(z). Factor r(n).\nAnswer: 3*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 1560*o - 42856. Give h(-27).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21664 + 56233. Is 23 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 - -3.5?\nAnswer: -36.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -2*b - 14*s + 10*s, -4*b + 172 = -4*s. What is the highest common divisor of 16 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 41 = 2*h. Round h to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 722*w**3 + 41*w**2 - 37*w + 125. Let c be j(4). What is c rounded to the nearest one thousand?\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28080 divided by 30?\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18166?\nAnswer: 2, 31, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(2\/3)*j*j\/(j*j**5)*j*j*j**(1\/13)\/((j\/(((j\/j**(-12))\/j)\/j)*j)\/j))**(-43))**(-4\/5) assuming j is positive.\nAnswer: j**(13072\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1595 divide 3073745235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -2*h + 34 - 105, h + 4*r + 40 = 0. Let f be (h\/(-3))\/((-2)\/(-3)). What is p in -p**4 - 13*p + 4*p**3 - 3*p**2 + f*p - 3*p**3 + 2*p**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -3*t + 2*m, 74*t - 69*t - 3*m = 25 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(85)\/(sqrt(20)\/sqrt(4)))**2 - 3*sqrt(272).\nAnswer: -12*sqrt(17) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03165 to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 2*u - 37. Calculate z(0).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (240 - 355) + -3 + 11\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/1448 and -41\/7964.\nAnswer: 15928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) 0.3 (c) -3 (d) 0.9421 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.09 - 0.08. Let t = c - -0.17. Suppose 0 = -0*a + 4*a - 8. Put 0.3, t, a in ascending order.\nAnswer: t, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 448525 and 14.\nAnswer: 6279350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + (-2 - (-19 + (-6 - -18))).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) -1\/6 (c) 0.4 (d) -384540 (e) -1\/8 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 217088 - 39944291\/184. Calculate the common denominator of i and -51\/8.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w + 5258 = 5276. Suppose -6\/5*o**w - 3\/5*o + 0 - 3\/5*o**3 = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1507, 26, -8, -0.2, 1\/4?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d - 5. Let g(c) = 1. Let h(w) = 5*g(w) + q(w). Let k(z) = -z**3 + z. Calculate -h(v) + 3*k(v).\nAnswer: -3*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6841*r. Let u(p) = 2*p. Give u(t(c)).\nAnswer: 13682*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -56*g + 2667. What is h(47)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 529*h**2*q*u + 5*h**2*u**3 - 6*h*q*u - 67*h*u**3 - 78*q*u**3 - 2074*u**3 - 2*u**2 with respect to q.\nAnswer: 529*h**2*u - 6*h*u - 78*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/3)\/g)**50)**(-8\/15)\/(((g*g**(-6))\/g)\/g*g*g**(-2)*g*g*(g**(-1)\/g*g)**(3\/8)) assuming g is positive.\nAnswer: g**(3019\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1010943 is divided by 739.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 52\/8 - 15\/(-10)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 9. Suppose 6 = 2*g - 4. Solve c - 3*h = -13, c - 19 = -g*h + s for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, -19\/3, -4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5552 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-129)\/6 + (-5)\/10. Is (388\/(-10))\/(c\/55) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6325*c**2*s**2 + 9*c**2*s - 3*c**2*y + 69*c*s**2*y + 2*c*s*y - 20*c - 19*s**2*y + s*y + 157*s + 4*y wrt s?\nAnswer: 12650*c**2 + 138*c*y - 38*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -2572, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -175, -611, -1505, -3085, -5579, -9215, -14221, -20825?\n\"Answer: -38*u**3 - u**2 - 167*u + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 4:08 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 29 = 4*f, -304*o + 15 = -309*o - 6*f for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 644 and 756?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11854311523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1812 or -1813?\nAnswer: -1812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184370.\nAnswer: 2, 5, 103, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z - 6 + 5 + 3. Give h(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/7, 9634, 4?\nAnswer: 9634","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 50?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 6*r. Let k be c(6). Let q be (-1)\/(-1)*(2 + k). Suppose q*b = -4*z + 146, 0 = -4*b + b - 3. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (88*58\/3190)\/(1*2\/(-150)).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1604335 - -5?\nAnswer: 1604342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-31)\/(-2) + (-2)\/4. Suppose y + 4*y = w. Find the third derivative of -8 + 8 + 2*c**2 - c**y wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/3, -4, 0, 2\/11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72717 - 9658. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 543527, 543520, 543513, 543506, 543499?\n\"Answer: -7*v + 543534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.79 * -0.5.\nAnswer: -0.895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -251*k + 20*k - 169 - 25*k - 54*k - 21*k wrt k.\nAnswer: -331","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-278 - 616 - 382 + 412)*(2 - 4 + 1)*((2 - 2 + o)*(2*o**2 + o**2 - 4*o**2) - 2*o**3 - 6*o**3 + 3*o**3) to r*o**2 + i + s*o**3 + p*o and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42838*j + 42838*j + 23*j**2 to the form k + y*j**2 + o*j and give y.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 133, -4, 3 in increasing order.\nAnswer: -4, 3, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 542170746 to the nearest integer?\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2 - 10 = 0. Suppose 4*t = -0*t + z*j + 135199992, -3*t = -j - 101399998. Round t to the nearest one million.\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1 + -3)\/4 - -3) + 72 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*p + 19*p = 64 + 81 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34 - -311025615?\nAnswer: 311025652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -101 - ((-57 - -48) + 30)?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 e when four letters picked without replacement from {e: 7, l: 6, a: 2}?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -x**8\/112 - x**7\/35 + x**5\/10 + x**4\/8 - x**2. Determine q so that j(q) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1.503 and -1055\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -36. Suppose 0*w = w - 7. What is the remainder when q is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 - -58. Suppose -4*b + 12 + c = 0. Suppose -b*t + 48 = 6. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3)\/(6\/(-439)) + (-615)\/(-246) is divided by 81.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 7:23 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3 + 1. Let v be ((-1)\/a + -2)\/(-1). Solve 0 = -k + 6 - v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92261?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjy when three letters picked without replacement from frfrryyrfj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 286?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*j - 10*j + 2*n + 88, -2*n = 12*j - 208 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 4*x + x + 5*f, 3*x = -5*f + 92. Let c be (-10)\/35 + x\/(-14). Is 13 a factor of (2\/(-4))\/(c\/52)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 673169 is divided by 168252.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9, -2.\nAnswer: -9, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**5\/9 + 2*i**4\/3 - 176*i**3\/9 = 0. What is i?\nAnswer: -11, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 563792208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q*q**(-2))*q**0)\/(q\/((q*q**(-1\/3)*q*q)\/q))**(-49))\/((q\/((q*q\/(q**(-2)\/q))\/q))\/(q\/q**(-5)))**(-3\/26) assuming q is positive.\nAnswer: q**(-2551\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 4:42 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -128 - -79. Let c = b + -539. Let d = -375 - c. What are the prime factors of d?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + 1 - -18) + (20 + -6 - 17).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 9 - (1 + -9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64 - 63. Let i be ((-48)\/60)\/((-2)\/5*o). Solve -i*n - 3 = 2*l + 1, 2*l + n = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -17*c - 23. List the prime factors of f(-7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 108*a**2 + 1620*a + 11. Determine w(-90).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p. Let g be b(2). Suppose -2*k - 4*m - g = -2, 5*k = -5*m. Let d = k + 4. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 53739.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*992.\nAnswer: 2976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -25720, -51340, -76960, -102580?\n\"Answer: -25620*q - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -276.7 + 272.7. Which is the fourth biggest value? (a) 6 (b) j (c) -27 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 17*f**2 - 32*f + 58. List the prime factors of s(12).\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m**3 + m**2 - 3*m. What are the prime factors of t(3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/15 (b) -2 (c) 7 (d) -4 (e) -4\/225\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2000))\/(sqrt(40)*-4) - sqrt(98)*1*4*-2.\nAnswer: 219*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -443 + 410. Which is the biggest value? (a) 0.4 (b) -1\/7 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.96 greater than or equal to 0.23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(76))\/sqrt(4)*6 + -3.\nAnswer: -3 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 120 = 2*r. What is the remainder when r is divided by 34?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -184404*a**3*r**3 + 43119278*a**3*r**2 + a**2*r**6 wrt r.\nAnswer: -1106424*a**3 + 120*a**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 5*o + 11, 0 = 4*o - 9*o - 15. Calculate the lowest common multiple of 134 and t.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-78 + 78 - 2*h)*(-4 + h + 4) to the form k*h**2 + x + p*h and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 10 - 71 - 7 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13252 by -6.\nAnswer: 6626\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -72.469 - -91046.469. Let c = i + -90972.09855. Let v = c - 1.9. Round v to 4 dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 136280 and 12?\nAnswer: 408840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -16*j + 392. Let k be y(0). Suppose 0 = b - 4*b + 9. Let g = k - b. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 129.06 - 65.5. What is x rounded to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 14, -37, -4, 28, 1 in ascending order.\nAnswer: -37, -4, -1, 1, 14, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (77\/21)\/((-110)\/(-90)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9\/10 of a meter?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 426\/9 - 12\/9. Suppose r*v = 49*v - 6285. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*n**2 - 104*n**2 - 51*n**2 + (-5*n + n + n)*(4*n + n - 2*n) to the form t*n + q*n**2 + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -361*o + 2165. Calculate k(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16266 and 5.\nAnswer: 81330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 2*q - 1. Let p(z) = -52*z**2 - 9*z - 4. Determine -p(h) + 5*u(h).\nAnswer: 47*h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.097 * 13.\nAnswer: -1.261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 10:50 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1045 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1169138 divided by 42.\nAnswer: 584569\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x + 47*x**2 + 20*x**2 + 59*x**2 + 71*x**2.\nAnswer: 197*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 2*b - 2950 = -2*g, -b - 2955 = -2*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7590 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8912 and 367063?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*i - 4. Let a = -2 + 2. What is the smallest value in -2\/3, -1\/2, i, a?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2152 divided by -1076.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 42*i - 83. Let d(m) = 85*m - 165. Let q(u) = -7*a(u) + 4*d(u). Differentiate q(x) wrt x.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72\/(-1125)*((513\/(-18))\/3 - -7)\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3893.059 rounded to the nearest ten?\nAnswer: 3890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 - 3)*(-1 + 2 + 1) + 1 - 1 - 1 - 3 + 0 - 2)*(s + 2*s - 4*s).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 87, 94, 103, 114, 127?\n\"Answer: f**2 + 4*f + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/10 and -35\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzjjfxffxzxzux. What is prob of picking 1 u and 1 x?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 44707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -357040, -357019, -356998, -356977?\n\"Answer: 21*q - 357061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 1:31 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2 - 4*g + 0 + g**2 + 6. Suppose 15*j = 9*j - 24. Let s be 175\/105*(j + 1). Give r(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 7*k**2 + 7. Let h(j) = j**2. Let y(u) = 2*u**2 - 9*u + 1. Let r(o) = -3*h(o) + y(o). Calculate the remainder when q(6) is divided by r(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1663*l**2*s**4 - 15*l**2*s**2 + l**2 + 3*l*s**5 - 9*l - s wrt s?\nAnswer: 39912*l**2*s + 180*l*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -7*h**3\/3 - 4. Let a(q) = 3*q - 4. Let u(x) = -2*x + 3. Let z(v) = 3*a(v) + 4*u(v). What is d(z(c))?\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*n - 51 = 0. Suppose -4*j = -3*w + 18, -3*j = -4*w - 0*j + n. Suppose 2*o = -3*a + 6, -w - 2 = -o - 2*a. Solve o*f + 5 = -f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002693099 to five dps.\nAnswer: 0.00269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ysav when four letters picked without replacement from vvsyevave.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 932*v**2 - 10*v + 57. Let l(f) = -932*f**2 + 9*f - 38. Determine 2*h(s) + 3*l(s).\nAnswer: -932*s**2 + 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - 45) + 122 - (-3 + 8 + 3)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-7) + 1424\/(-70) + (-108)\/(-120)*10?\nAnswer: -56\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9439790.\nAnswer: 2, 5, 29, 43, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-38031)\/9)\/(((-88)\/(-24))\/(-11)). What is the highest common divisor of o and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*p - 19, -3*t + 6 + 0 = -3*p. What is the units digit of ((-5)\/3 - t)*(-540)\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45969 and 17325?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20712 - 8926. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + (-942)\/(-10) + 2\/(-10). Suppose 5*c - s = -8*c. Calculate the highest common factor of 28 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 12*a + 17. What is i(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -10*h**2 + 280*h - 552. Calculate j(26).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2428642 take away -7.46?\nAnswer: -2428634.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16114 is divided by 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/24 and -23\/120876.\nAnswer: 241752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - ((-4)\/(1 - 0) + -1). Suppose 4*b + 21 = -t, 0*b - 37 = 3*b + o*t. Sort b, -2, 10.\nAnswer: b, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-31 - 71 + 69)*(2 - 2 - 1)*(-j + 2*j + 2*j)*(-3*j + 8*j + 0*j) as k*j + p*j**2 + b and give p.\nAnswer: 495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47984 - 31409. What are the prime factors of v?\nAnswer: 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.43556 rounded to one decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10, -20, -30, -40, -50?\n\"Answer: -10*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 20 = -5*g. Suppose -g*v = -3*i + 94, 2*i - 59 = 5*v - 3. Calculate the remainder when i is divided by 4\/(-10) - (-156)\/15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3003098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, j: 1, w: 4}. Give prob of picking 2 h.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -l - 144, -4*l - 3*h + 546 = -8*l. Let r = 140 + l. Solve 0*j + 2*j + 2 = 2*q, -2*q + r = -3*j for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/((-16)\/(-116)) - 1. Let r be (21\/l)\/((-6)\/(-16)). Suppose 0 = i - r*j - 45, 0*i + 4*j + 196 = 4*i. Is 25 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 7 = -3*w, -122*w = -13*l - 125*w - 55 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.5833 + 0.3167. What is the nearest to 3 in s, 2, 2\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = -4*j, 3*z = -5*j + 10. Solve -33 = m + m + z*s, m + 4*s + 24 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -3*q + 5. Calculate the highest common factor of 17 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25754400 rounded to the nearest one hundred thousand?\nAnswer: -25800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/6*(-4)\/(-32). What is the third smallest value in 5, -60, t, -6\/11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*u - 0*u + 21*u + 420 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*v = 4*r + 38*v + 98 + 6, 3*r - 5*v + 827 = 749 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -29*b**2 + 3*b + 12. Let y be n(-6). Let q = y + 3151. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1081492.065 to the nearest ten thousand.\nAnswer: -1080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - -1*sqrt(156)*-6)\/((sqrt(132)*1)\/sqrt(11)))**2.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is a6c8 (base 16) in base 15?\nAnswer: c9b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7d76 (base 15) to base 16.\nAnswer: 6825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -1390*r + 18. Calculate z(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n - 1. Suppose -4*w + 4 = 3*t, 2*w = 2*t + 3*t + 2. Let u(l) = -1. Determine w*h(x) + u(x).\nAnswer: 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15864 + 15862. Let l(u) = 0 + u + 1 + 1. Let a be l(f). Solve -3*n + n + 6 = a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (-133)\/513*247098\/(-16). Let d = 4005 + i. Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jw when two letters picked without replacement from {w: 1, j: 2, b: 2, e: 1, z: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (86 + 138 + 5*o - 260)*(-4 - 1 + 1).\nAnswer: -20*o + 144","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 308 * -2072\nAnswer: -638176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(84)\/sqrt(2) - sqrt(42)))\/(sqrt(6) + sqrt(12)\/(-1*sqrt(2)) - sqrt(6)) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 602405 is divided by 120464?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36715, -144227, -323389, -574183, -896591, -1290595, -1756177, -2293319?\nAnswer: -2902003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -23*c**4 + c**2 - 13*c + 1. Let w(l) = l**4 + l**2 + 1. Let d(y) = -r(y) + w(y). What is the second derivative of d(h) wrt h?\nAnswer: 288*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4*t - 186, 3*j = 8*t - 4*t - 185. Suppose 9*y - t*y = -1026. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dhhgghhgdhdd. What is prob of picking 1 g and 2 h?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90852.61 centimeters to micrometers.\nAnswer: 908526100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(416))\/sqrt(8) - sqrt(52))\/sqrt(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**5 + 13*b**2 - 13*b**2)*(-1 + 3 - 3) + (-5*b + 5*b + b)*(3 - 3 - b**4).\nAnswer: -5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*d**4 - 3*d**4 + 0*d**4 + (2*d**4 - d**4 + 0*d**4)*(20 - 32 + 69).\nAnswer: 61*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65 + 69. Suppose 122 = q*r - 3*m - 2, r - 2*m - 36 = 0. What is the remainder when 55 is divided by r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 4:34 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10875 and -81.\nAnswer: -880875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(4\/3))\/z**(1\/31))**11 assuming z is positive.\nAnswer: z**(2354\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 344.7 - 283. Let l = 57 - m. What is l rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -882*k**5*o + 918*k**2 + k*o wrt k?\nAnswer: -52920*k**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 15) in base 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 448.0042 millennia?\nAnswer: 4480.042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -2\/19, -14, -56.\nAnswer: -56, -14, -2\/19, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 2*z**6\/15 - 7*z**5\/5 + 5*z**4 - 6*z**3 - 49*z. What is s in h(s) = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54954 to the power of 1\/2, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/(-27)*(-24)\/200.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 25, 42, 49, 40, 9, -50?\n\"Answer: -l**3 + l**2 + 21*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8883.115 centimeters in micrometers?\nAnswer: 88831150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 669 = 856. What is the second derivative of 305*x**2 - 27*x**4 + 5*x - v*x**2 wrt x?\nAnswer: -324*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 36 + 204 = 0. Let c(x) = -3*x - 7. Let w be c(-3). Suppose -v = -w*s - 2*s. What is the greatest common factor of 105 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k**2 - 2*k - 1. Let d(t) = 0*t**3 + 88*t - 46*t + 15*t**2 + t**3 - 31*t + 6 + 0. What is 2*d(q) + 11*h(q)?\nAnswer: 2*q**3 - 3*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.886 - 1.114. Let w = 3 + 2. Put w, d, 3\/5, 0.2 in increasing order.\nAnswer: d, 0.2, 3\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -53*i**2 - 3*i - 2. What is k(-1)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g + 522 = -1170. Let d = g + 181. Calculate the greatest common factor of d and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9742, 38034, 85186, 151198, 236070, 339802?\n\"Answer: 9430*v**2 + 2*v + 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 31 - (-1422 - -1346)) + (1 - 25)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 18*p**3 - 5*p**2 + 7*p - 9. Let l(h) be the first derivative of -9*h**4\/4 + h**3 - 2*h**2 + 5*h + 1247. Determine 7*l(b) + 4*y(b).\nAnswer: 9*b**3 + b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 121015043 to the power of 1\/2, to the nearest integer?\nAnswer: 11001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, a: 5, h: 5}. Give prob of sequence hhj.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 20 - 50)*(m - m - 3*m).\nAnswer: 153*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21966.83434 rounded to the nearest one hundred?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, t: 1, b: 1, q: 5, k: 1, s: 1}. What is prob of picking 3 m and 1 q?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2))\/(4\/(192\/4)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -340.2 + 335.2. Let j = 2.5 + -2.1. Put 1, j, -0.3, d in decreasing order.\nAnswer: 1, j, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-6) + (-42)\/68. Let y = z - -21\/34. Let f = -1.89 + 1.9. Are y and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2098, -2107, -2126, -2161, -2218, -2303, -2422?\n\"Answer: -m**3 + m**2 - 5*m - 2093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1\/3 (b) -116 (c) 73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/(-1*(-4)\/(-44))?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12a + -6d9?\nAnswer: -814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p - 3. Let o(r) = -36*r + 22. Let w(y) = -44*k(y) - 6*o(y). Let s(b) = 2*b. Calculate s(w(z)).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 87\/7 in 4, -2\/3, 2\/5, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*f + 25 = 140 + 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5783, 5, -27?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5347 - -3378. Let b = 4726 + v. Suppose 12*z - 9*z - b = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wvwf when four letters picked without replacement from {f: 2, w: 2, v: 4}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 + 51500*s + 51495.\nAnswer: 5*(s + 1)*(s + 10299)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - 17) + (2 - 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -77.53 and -14727?\nAnswer: 1141784.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 888*v**2. Let r(x) = -10*x. Give r(f(l)).\nAnswer: -8880*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 101001101010011100011010?\nAnswer: 101001101010011100011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 - 6 - (0 + -1). List the prime factors of v + (-140)\/(-5 - -1).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uw when two letters picked without replacement from {u: 1, a: 6, h: 1, w: 8, x: 1}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2761 times -1.28\nAnswer: 3534.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 285 and 705.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 6*c**2 + c - 1. Calculate w(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -b**7\/2520 - b**6\/180 - b**5\/30 + 9*b**4 + 78*b. Let l(a) be the third derivative of q(a). Calculate l(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14706*f + 288 = 14709*f. Calculate the highest common divisor of 324 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -268 - -136. Let f be p\/28 - 8\/28. Let u be f + 12 + (1 - 5). Solve -u*k + 0*k - 6 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.83 rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382 is divided by 90?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2515\/(-6036)*54\/15?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13022 (base 14) to base 12\nAnswer: 2301a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1839601877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 318 + -159. Suppose -3*m = -t + 24. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -23 + 19 + 4336 + 6\/3.\nAnswer: 2, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 4*b + 8, 3 = -4*m + b + 14 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7531, -16173, -24815, -33457, -42099, -50741?\n\"Answer: -8642*w + 1111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {x: 9, s: 2, f: 5}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(66)\/sqrt(2))\/(sqrt(300)*-2 - sqrt(300)))**2.\nAnswer: 11\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2780330.\nAnswer: 2, 5, 7, 39719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-342)\/456)\/((-3)\/(-12)))\/(3*(-2)\/(-52))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a micrometer in nanometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 55578, 56260, 56942, 57624?\n\"Answer: 682*t + 54896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16 (b) -4 (c) 2 (d) 13 (e) 8\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - w**2 - 14 - w**3 - 2*w + 18 - w**4 in the form q*w**2 + g*w + s*w**4 + p + d*w**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 233225.2ug in kilograms?\nAnswer: 0.0002332252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/41, 7\/340, 19?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (58*(-124)\/21576)\/5\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 5, 0, 103, 8.\nAnswer: 0, 1, 3, 5, 8, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2085 - 2085 - y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*k**3\/2 + 22713*k**2\/2 + 11798*k + 414 = 0 for k.\nAnswer: -1, -2\/55, 414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 5)*(l - 2 + 2) + 307*l + 3530 - 3530.\nAnswer: 305*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230*r + 5 = -225*r. Solve 2*d + 7 - r = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 25, 8 = 3*n + 3*c - 16. Let w = 53 - n. Let o be w\/21 + 10 + -12. Is -1 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of y**10\/1680 - y**6\/360 - y**3 - 1. Let l(x) be the third derivative of i(x). Find the third derivative of l(k) wrt k.\nAnswer: 360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2328\/(-36)*18\/(-3). Suppose -y + 98 = -4*n + 3*w, -3*n - 5*w = -203. What are the prime factors of n?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q - 99 = -51 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -885.\nAnswer: -4\/885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/5 (b) 43 (c) 675 (d) -0.5 (e) -1 (f) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053)*2 - (sqrt(1573) + 2)**2) + 1)*2 + 5.\nAnswer: -3147 - 52*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 9:52 AM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -3*y**2 + 85452*y - 608503692 = 0.\nAnswer: 14242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2868\/37507 or -1?\nAnswer: 2868\/37507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 7 = -9*v + 51. Are v and 279 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1637877 is divided by 43.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 8:53 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 7*n + 4. Let h be p(6). What is the common denominator of -53\/10 and (-261)\/h*(-9)\/(-54)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 17*x + 87. Let n be i(11). Suppose -m + 0*u - u - n = 0, 90 = -5*m - 2*u. Which is greater: -0.4 or m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 47*k**2 + 128*k - 29. Determine t(-44).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 1)\/(119\/(-476)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -825*z - 3287. What is v(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19.73 + -20. Let z = 0.3 + n. Let h = z - 0.005. Round h to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10145, -9949, -9751, -9551, -9349?\n\"Answer: t**2 + 193*t - 10339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4853437 = -478*w + 8942433 + 6526428. What is the ten thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21222 and 270.\nAnswer: 106110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0 - -1) + 2 + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l. Suppose 0*t = 4*t - 4. Let u be 4 + 0 + (-1 - t). Let m(v) = -2*v**2 - 2*v**2 + 5*v**u - 3*v**2. Give b(m(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 18*q + 4. Let y be h(-18). Let p be (-5)\/(y + 65\/(-10)). Is (p\/6)\/(15\/13815) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-18)*-87)\/(473\/(-22) - -22)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 364215 to the power of 1\/2, to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 192373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-66)*-55)\/((-2)\/4)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 5 = -2*c - 3*q, -19 = -c + 3*q. Suppose c*h - 22 = -5*x, -2*x - 2*h + 5*h = 5. Let v be ((-5)\/3)\/(2\/(-6)). Solve -x*p + p = v for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence swo when three letters picked without replacement from {w: 2, o: 4, e: 4, s: 1}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2943, 5152, 7361, 9570, 11779, 13988?\n\"Answer: 2209*k + 734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-858)\/(-363) - 4\/11. Let c(s) = -2*s**3 + 2*s**2 - s + 0*s**3 + 5*s**3 - 3*s**2. What is c(v)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a - 15*a - 404*a**2 - 55634443 + 55634441.\nAnswer: -404*a**2 - 16*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + sqrt(242)*1 + 1 + 3)**2.\nAnswer: 66*sqrt(2) + 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -8, 29, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**2\/7 + 10539*j\/7 + 31608\/7 = 0.\nAnswer: -10536, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6*-1)\/(7\/(84\/18)). Let o(q) = 14*q**2 + 8*q + 4. Is o(m) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/21, -7\/13, 23, -183?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 111, 221, 381, 597?\nAnswer: 875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 179*q**2 - 3 + 1 + 2*q**4 + 3*q - q**3 + 180*q**2 to o*q**4 + d*q**3 + g*q**2 + a*q + m and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2983\/3 - -995. What is r in 8\/9 - a*r - 2\/9*r**2 = 0?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cccccccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 54*k + 751 - 2749 for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 4*o - 26, -5532 + 5482 = -5*n + 8*o for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163573353?\nAnswer: 3, 18174817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/1566 and 21\/1157?\nAnswer: 1811862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/39? (a) 2\/19 (b) 1\/4 (c) -5 (d) -34 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 302841?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2781 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 11*m**3 + m**2 - 4*m - 3. Let o = -12 + 16. Is b(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 10*p**2 + 6*p + 11. Give m(-9).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 525 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20360\/3563)\/((-2)\/7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + 0)**2 - sqrt(40)\/(sqrt(800) + sqrt(8)).\nAnswer: -sqrt(5)\/11 + 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-70)\/(-10))\/(3\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-174)\/16)\/((-19026)\/(-101472))\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 14*f + 16. Let t be d(-13). Let v(b) = -b + 3. Determine v(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 27) + 46 + -6 - -3?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - s + 65. Suppose -4*l = -3*b + 11, 33 = 2*l + 4*b + 11. What is the remainder when (8 + -10)*((-30)\/3 - l) is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 5*b + 5*b)*(-4*b**2 + 0*b**2 + 3*b**2) + b**3 + 2*b**3 - b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -820*g - 73573. Determine y(-90).\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t - 2*t = 0. Suppose t = 52*o - 45*o - 8533. Is o a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1436?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 119*j**2 - 405*j + 355. Calculate v(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 1 = -b. Suppose 93847675 = b*a - 68652325. Suppose 6*j - 11*j = a. What is j rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -99, -159, -205, -231, -231, -199?\n\"Answer: g**3 + g**2 - 70*g - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -1c?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204846?\nAnswer: 2, 3, 34141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a + 283 - 475 = -4*a for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 9*u - 7. Let n be j(8). Let c = n - -26. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 2\/82035925 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 7 + (-10 - 5) - -6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**3 + 13*c**2 - 13*c - 45. Calculate the smallest common multiple of o(-6) and 10.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26874 divided by -4479?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 16*j**2 + 42*j - 17. What is d(13)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.5 - 6.7. Let r = -5.8 + -1.2. Let z = r + 11. Which is the third smallest value? (a) y (b) -0.1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ummmmuhhuhuumumuu. Give prob of sequence uhu.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -17. What is the derivative of 22 + 174*j**k - 5 - 136*j**4 wrt j?\nAnswer: 152*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17584544*k**2 - 396647011.\nAnswer: 35169088*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 4*i**2 + 2*i - 1. What is s(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51730649 + 2*v**2 + 103461140 - 3*v**2 + 2*v**2 - 51730491.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -49. Let y = n - 11. Calculate the remainder when y is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28910 - -28909. Let q = 1.5 - -17.5. Put q, -5, v in descending order.\nAnswer: q, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/13065 and -7\/1005.\nAnswer: 13065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + 0.2. Let h = 2.01 - 0.01. Let i = r - h. Are 0 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hu when two letters picked without replacement from {u: 3, v: 2, h: 1, g: 3, p: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 885 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 45*m - 42*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5\/4 (b) -1 (c) 0.1 (d) -9330 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57317?\nAnswer: 13, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1710.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 - 55. Suppose j = 2*g - 5*g - 39000. What is g rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 575, 603, 643, 689, 735?\n\"Answer: -z**3 + 12*z**2 - z + 565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, o: 11, u: 1, k: 2, r: 3}. Give prob of picking 1 c, 1 k, and 1 r.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 55 = -w. Let r = 14 + w. Solve -3*p - 5*n - 22 = 0, 5*n - r*n = 2*p + 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2458 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 1447*t**4\/12 + 16*t**3\/3 - 5*t**2 - 2265*t. What is the second derivative of o(y) wrt y?\nAnswer: 2894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z + 6. Let i(v) = 7*v + 9 - 9*v + 0*v - 2. Give -6*c(w) + 5*i(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**2 - 34*w - 168 = 0. Calculate w.\nAnswer: -28, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 0. Let h = -43 - -67. Suppose -o*m + 0*m + h = 0. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 7*d**2 + 6*d + 2. Let p be m(6). Factor -u**3 + u**2 + 0*u - u**2 - p*u**2 - u.\nAnswer: -u*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-153)\/(-81))\/(322\/2898).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (18\/45*(-140)\/168)\/(5\/(-39))\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from flaaooaloa. Give prob of sequence oao.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -0.17, 0.4, -3376 in increasing order.\nAnswer: -3376, -0.17, 1\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/36)\/((-1)\/(-6)). Suppose -2*k = -j*q + 243 + 15, -q - 4*k + 144 = 0. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 + q - 9. What is m(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59361 + 41561. What is w rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58665 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*t + 21*t - 28 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/2))**(-1\/17))**(-22\/7)*(k*k**6)\/(k*k\/k**(-1)*k)*k*k\/(k\/k**3)*k**(-2\/3) assuming k is positive.\nAnswer: k**(2294\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 9. Suppose -2*s - 45 + 1 = q. Let i = s + 33. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**3 + 170*y**2 + 885*y + 1260 = 0. Calculate y.\nAnswer: -28, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 2, -16.\nAnswer: -16, -13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -7*v + 7. Suppose 4*w - 24 + 4 = 0. Let o be q(w). Let h be (-132)\/o - 2\/(-7). Solve 2*p = h*p + 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - (sqrt(88) + sqrt(88)*2)*3)\/(-2*sqrt(512) + sqrt(512) + sqrt(8))*-6 - (-3 + (-5 + -1*sqrt(704))**2)*4.\nAnswer: -2904 - 2288*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-177)\/(-57) + (-15)\/5. Let t = 0.07 - 2.07. Let g = -2.5 - t. Which is the third smallest value? (a) g (b) q (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -209 - -377. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 2*a + 5*t, -3*a = -5*a - 4*t - 20. Let r be 18\/27 + ((-13)\/a - 1). Suppose 1\/2 + 1\/4*p**2 - r*p = 0. Calculate p.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 24*d**2 + 24*d + 47. Let y be v(25). Solve 5*u + 3 + y = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(1\/4))**(5\/13))**(10\/3))**(7\/3) assuming i is positive.\nAnswer: i**(175\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3842*g**4 - 198*g**3 - 44*g**2 + 54167409*g + 4.\nAnswer: 46104*g**2 - 1188*g - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1012 and 745030.\nAnswer: 34271380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + 47. What is the smallest common multiple of 12 and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180892473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 12:33 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.76 and -41545.\nAnswer: -31574.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14352596 to the power of 1\/2, to the nearest integer?\nAnswer: 3788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.6 + 4.3. Put 2, -1\/2, 1, a in ascending order.\nAnswer: -1\/2, a, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -622*m**2 + m**4 + 622*m**2 - 7*m**5 + (-4*m**3 + 136*m - 136*m)*(m + 2 - 2)*(m - 3*m - m).\nAnswer: 5*m**5 + m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -1 (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 11*b + 71 + 12*b)*(-4*b + 5*b + b).\nAnswer: 2*b**2 + 164*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 7:39 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/17 + 69818*o\/17 + 38065340\/17.\nAnswer: 2*(o + 554)*(o + 34355)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/212908 and 151\/558.\nAnswer: 1916172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k = -o + 8*k - 250, -1000 = 4*o + 5*k. Let c = -228 - o. Calculate the remainder when 104 is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 36*k - 4. Let d be t(1). What is the greatest common divisor of d and 256?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/7260 and 47\/1320.\nAnswer: 14520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 3331 = 10*r - 9269. What is the remainder when r is divided by 89?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 108290.\nAnswer: 108290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17722836?\nAnswer: 2, 3, 317, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - -0.2. Let f(o) = -16*o + 65. Let m be f(-30). Let k = -2714\/5 + m. Which is the biggest value? (a) q (b) 1\/7 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + 44320.2.\nAnswer: 44319.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m + 14. Let w be u(6). Suppose -w*v - 2030 = -27*v. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1221738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-112)\/(-152))\/(-7) - 667\/(-19). What is the remainder when 5 is divided by (-14)\/4*((-240)\/s - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a microgram in nanograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 4*t - 20, 3*c - 4*c - 2*t = 10. Suppose -4*r - 2095 - 40305 = c. What is r rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -860\/3 - 856\/3*x + 4\/3*x**2.\nAnswer: 4*(x - 215)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-6\/11))\/k**16)**(-1\/11) assuming k is positive.\nAnswer: k**(171\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 2*a - 4. Let u(r) = r**2 + 2*r + 1. Let t be u(-2). Let s be (t\/1)\/((-2)\/(-4)). Calculate the greatest common factor of a and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1086 is divided by 539.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 191\/1680 and -137\/596736.\nAnswer: 2983680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1 - -2 - 94\/(-6) and 5\/7*(-248)\/(-155).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, n: 1, z: 2, t: 1, w: 2, c: 1}. What is prob of sequence zwzn?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/15)\/((-1)\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 103353?\nAnswer: -103344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -543310 + -2?\nAnswer: -543312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -354?\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u + 44. Let g be p(-7). Suppose 5*b = 0, 0 = 4*d - 2*d + b + g. Let a(o) = 2*o + 7. Give a(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 + 19. Let t be -6*((-375)\/g)\/(-5). Let q be (-1)\/((-3)\/90)*27\/18. Is q > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*m**2 - 32*m**2 - 5*m**2 + 2160 - 6*m - 972 with respect to m.\nAnswer: -42*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -411*n**7\/70 + 20*n**4\/3 - n**3\/3 - 9*n**2 - 88*n. What is the second derivative of c(g) wrt g?\nAnswer: -14796*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1160 and 1.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s - 4. Suppose -5*z = -463 + 493. Let i be a(z). Factor 2\/13*m**3 - 16\/13 - 12\/13*m**i + 24\/13*m.\nAnswer: 2*(m - 2)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1406395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 0\/(-2))*12\/(-42). What is the nearest to -2 in -3, 0, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91 by -736.\nAnswer: -91\/736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9646 - -23291. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 185, 2\/5, -4, 2\/31?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1196\/195*20\/(-8))\/(4\/6).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1314 (base 8) to base 2\nAnswer: 1011001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) 2\/7 (c) -3 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7b - 0?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1398 and 28539471.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4*((sqrt(72)*1 + 4)*-4 + 4 + -6*(sqrt(72) - sqrt(72)*-2)))**2.\nAnswer: -2239488 - 202752*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 640 (base 7) in base 15?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujvixutjuttutuj. Give prob of picking 2 t.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2*p = 5*p - 27, 0 = p - 3. Suppose 3*j - 24 = 5*r, -2*j - 4*r = -3 + a. Factor 3\/2*n**4 + 3 + 3\/2*n**j - 9\/2*n**2 - 3\/2*n.\nAnswer: 3*(n - 1)**2*(n + 1)*(n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 7*p - 4. Let b(q) be the second derivative of 3*q**4\/4 - q**3\/3 - q**2\/2 - 31*q. Let u be b(1). Give o(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -19 (b) -108 (c) -1 (d) -0.4 (e) 2 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + (-357)\/(-35) + (-1)\/5. Let z(o) = 7*o + 5. Let w(h) = -6*h - 4. Let b(k) = r*w(k) + 5*z(k). Let f = 3 + -2. Give b(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -27*u + 26*u. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -baa19ac + 4?\nAnswer: -baa19a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - 23) + (9 - (2 - 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/130)\/(-1 + 2).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2805920.\nAnswer: 2, 5, 13, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1209 + 1216 - (-19 - (0 + -1))) + 4?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -315545?\nAnswer: 315552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*j - 0*j. Let b be -1 + 1 - j\/6. Let f = -1 - 1. Which is smaller: f or b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/3, -86 in descending order.\nAnswer: 4, -1\/3, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -25*k**3 + 20*k**2 - 20*k + 20. Let s(b) = b**3 - b**2 + b - 1. Determine -60*s(c) - 3*v(c).\nAnswer: 15*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 9:32 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 4*b**2 - b + 6. Let m be x(4). Let o(n) = -n + 3. Let k be o(0). Solve -m*w + 1 = -k for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 533 + -529. Let l = 22 + -22.1. Which is the second smallest value? (a) r (b) l (c) 1\/3 (d) -0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 1 - 2*f)*(4*f + f - 2 - 4*f).\nAnswer: -2*f**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(160\/156) - -5\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + c + 2*c + 2*c + 2 - 2 - 2*c + 2*c - c + (2*c + 0*c + 0*c)*(1 + 2 - 5))*(-6*c**3 + 2*c**3 + 3*c**3).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -34 times -0.064\nAnswer: 2.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1680833 + 2403105. Suppose 0 = -4*t - m - 1997728. What is t rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 2. Suppose -k = -2*u - 24. Let c = 5\/13 - 23\/26. What is the biggest value in 0.2, c, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -417605\/4 - 1445\/2*o - 5\/4*o**2 = 0.\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 817864 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -o**4\/12 + o**3 + o**2. Give j(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -87 - -91. Solve 0*m - 4*m + 2*n + 14 = 0, l*n = -3*m + 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 9*i**2 - 8*i + 4. Let g be z(6). Let h = g - 40. Suppose 2*x - h = -2*b, 4*b - x - 4 = 3*b. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -232201 (base 5) to base 15\nAnswer: -276b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 4. Suppose 0 = 3*k + x - 174. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96082 is divided by 207.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/(0 + -16))\/(0 - 1). Sort 4, 12, 3, w in decreasing order.\nAnswer: 12, 4, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -1\/10, -15\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.1, 38184 in increasing order.\nAnswer: -0.1, 0.1, 38184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22.88694032 - 0.11310468. Let j = -23 - x. Round j to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -17541?\nAnswer: 17545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-10)\/(h*h*(h*h*h\/((h*h*(h**(-4)*h)\/h*h*h*h)\/h)*h)\/h)*(h**(-7))**16)**(-42) assuming h is positive.\nAnswer: h**5334","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**5\/60 + 5*j**4\/24 + 2*j**3\/3 - 2*j**2. Let l(r) = -37*r**3 + 1. Let i be l(-1). Suppose i = 5*h + 13. Calculate q(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.9851nm in millimeters?\nAnswer: 0.0000289851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -22*d + 18*d. List the prime factors of 140\/d - (-3 + 1).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8369446 rounded to 3 decimal places?\nAnswer: -0.837","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v - 5. Let s be n(5). Let c(y) = -1 - 6*y - 4*y**2 + 0*y + 6 + 0*y + y**3. Determine c(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 + 48. Let r(q) = q**2 + 3*q + 1. Let t be r(-4). Suppose 0 = t*c - a*c. Solve n - 2*y - y - 12 = c, 2*y = 3*n - 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*q**2 + 46*q**2 - 31*q**2 - 27*q**2 + 135*q**2 - 31*q**2 - 22*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64.36 + 63.96. Sort -2\/9, y, 0.01, 0.2, -13 in ascending order.\nAnswer: -13, y, -2\/9, 0.01, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/10 - 72\/(-20). Suppose 5*m = 20, 4*d - f*m - 7 = 37. Suppose -2*u - u = -d. Calculate the smallest common multiple of u and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 8*n - 12. Let f be d(9). Let s be (-3 - f)\/3 + 3. What is the tens digit of -1 + s + -4 + 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2107 is divided by 987?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 - 34 = -4*u. Let r = 46 + u. Suppose -3*q - r = -5*i + 25, 3*i + 5*q = 58. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert aa4 (base 13) to base 16.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1250457 divided by 3?\nAnswer: -416819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 12*t - 4. Let k be l(10). Suppose k = -3*y + 103. Differentiate y - 8*v**3 + 22*v**2 - 22*v**2 wrt v.\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -6*b. Let j be f(2). Let z be (4\/14)\/(j\/28). Let q = -2.6 + 2.5. Sort z, q, -1 in decreasing order.\nAnswer: q, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7285 greater than or equal to 954345\/131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 + 27 + (-3 - 0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16976 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 3*s - 250, -4*s + 74 = u + u. Suppose 13 = 3*t - u. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11374354 (base 8) in base 13?\nAnswer: 691925","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y - 4. Let s be t(-7). Suppose 3*g + 4 - 19 = 0. Suppose -3*p - p = 0. Solve p = -g*l + s*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 51 - 2*n**2 + 3*n**2 - 2*n + n. Does 17 divide g(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r**3 + 28*r**2 + 72*r + 32 = 0 for r.\nAnswer: -1, -2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-54) - (-155)\/(-9). Let i = a - -18. Calculate the lowest common multiple of -4 + (3 - -2)\/i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/1012 and -91\/6.\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64 + 64. Suppose -4*g + 28 = -16. Put -5, g, x, -1 in descending order.\nAnswer: g, x, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 19*c**2 - 129. Let o(h) = -3220*h. Determine p(o(b)).\nAnswer: 196999600*b**2 - 129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/16 + (5211\/216 - 18). Solve -2 = 2*j + f - i, 0 = 4*j + 3*f - 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4061 or 44673\/11?\nAnswer: 44673\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, l: 1, e: 1, r: 1, t: 2}. Give prob of sequence aer.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-52)\/(-130) + 122\/(-5). Suppose -3*k + 4*k = 34. Let o = k + s. Is o at least as big as 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1061 = 4*w + 321. What are the prime factors of w?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-880)\/(-9460))\/(1*2).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69009?\nAnswer: 3, 23003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 6*u**2. Let x = 6487 - 4161. Let h(w) = 15*w**2 - x*w + 2326*w. What is j(h(y))?\nAnswer: 1350*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 2)\/(4\/2). Let q = 41 - 151. Is -4*(b + q\/8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b - 6*b + b)*(78 - 203 + 96) + (1 - 3 + 0)*(0*b + 2*b - 3*b).\nAnswer: -27*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a**2 + 3*a - 9. Let o = -17 - -13. What is the tens digit of q(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o + 11. Let c be b(-9). Suppose 0*r = 2*v - 2*r - 2, -2*r = 5*v + c. Let j be (-3 - (-1 - 1)) + v. What is the third biggest value in j, -0.3, -3\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.83533687 * 1\nAnswer: -0.83533687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -263 - 236?\nAnswer: -521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -2 - (-15 + 13 + 11).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 s when four letters picked without replacement from bbbbbbbbbssbbbbsbsb.\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 861 + 841 = 2*s, 2*s - 3*i + 16 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1016 + -1017)\/((1\/(-2))\/(-1)). Which is the third smallest value? (a) -54 (b) -4\/13 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/99 + (-1517607)\/(-131274).\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -347*i - 343. Let s be t(-1). Sort -2, -4, 6, 3, s in descending order.\nAnswer: 6, s, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -1000010?\nAnswer: -1000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2359 divided by -26319?\nAnswer: -2359\/26319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 707724.81 milliseconds to hours.\nAnswer: 0.196590225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 66*d*o**5 + 9*d + 6*o**6 + 22*o**2 wrt o.\nAnswer: 3960*d*o**2 + 720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 - 99*f**3 - 2416*f**2 - 12480*f.\nAnswer: f*(f - 120)*(f + 8)*(f + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-2.722.\nAnswer: -5.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -246 and -25761062.\nAnswer: -25761308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(162) + -1)*6 + -5) - (1 + (5 + sqrt(162)*2 + sqrt(162) - sqrt(162)*1*5)))**2.\nAnswer: -15048*sqrt(2) + 79852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(7) - sqrt(14)\/sqrt(2)) + -5))**2 + 0 + 2*(sqrt(7) - ((sqrt(7) - sqrt(14)\/sqrt(2)) + sqrt(7))**2).\nAnswer: 2*sqrt(7) + 211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.61 + 0.21. Let s = -3.1 - p. Which is the fourth biggest value? (a) s (b) 0.1 (c) 5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**5 - 2*v**3 + 2*v**3 + 47*v**2 - 12*v**5 - 47*v**2 + (-2 + 3 - 3)*(-3*v**5 + v**5 + 0*v**5) + 3*v**5 + 0*v**5 + 0*v**5 - v**5 + 0*v + 0*v.\nAnswer: -4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -1. Solve -g - g = l - i, -2*g = -4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 28922 = -o, -3*a + o + 86768 = 2*o. Suppose 42*c + 993 = a. Does 35 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 399*i = 92*i - 8596 for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**4\/3 - 3090548*b**3\/3 + 1193917324106*b**2\/3 + 4775780556728*b + 14327452930776 = 0.\nAnswer: -6, 772643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 12 = 2*r - 5, 2*n = -r - 5. Let m = -8 + 84. Let d = 73 - m. Which is the nearest to n? (a) -0.4 (b) d (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 2*p + 184 = -9*p + 214, -4*u - 17*p + 60 = -0*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1373 is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1591 + -1123. Suppose -3*p - 156 = -v - 4*p, 3*v - i = 2*p. Is v a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/(-150) + 2156\/30. Suppose 270 = 4*i + 5*j, -i + j + o = -0*j. Let n = i + -20. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*h - 21*h + 4*h**2)*(-2 + 0 + 11).\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449 is divided by 76?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4)*d*d*d)\/((d**(-9)\/d)\/d)*d**(-5\/3)*d**(-9)\/d assuming d is positive.\nAnswer: d**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33546548 a multiple of 542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 26.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.41 - -0.01. Let j = 63.28 + -63.58. Put w, j, 1.2, -4 in descending order.\nAnswer: 1.2, j, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28*(-25)\/(-700)*-26?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -23*q + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 9:41 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 7*f + 4. Let q be a(-6). Let k be (-45)\/3*q\/(-3). Let c = k + 14. Solve -1 + c = -i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.049479 or 0.49?\nAnswer: 0.049479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -14790 divided by -3?\nAnswer: 4930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 12*d - 6. Suppose 0 = 12*u - 198 + 42. Let i be j(u). What are the prime factors of ((-14)\/6)\/i*-489?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1392 and 710448.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5404 + -5425. Do -220 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30)\/4*8\/5. Let u be o\/(-4) - -234 - 9\/(-3). What is the common denominator of ((-32)\/u)\/(16\/(-1430)) and 137\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, t: 2, q: 3, b: 4}. Give prob of picking 1 b and 2 t.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 4*j + 108 = 156, -126 = 12*x + 6*j for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 242*i - 14*i**3 - 242*i + 3*i**4 - 6*i + 6*i + 2*i**4 - 3*i**2 + 3*i**2 + i**4 + (2 - 2 + 2)*(-1 + 1 - 2*i**4).\nAnswer: 2*i**4 - 14*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 - (-5 + 0 + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4\/8265 - -89097\/38570. Calculate the common denominator of 11\/28 and s.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1316954 nanograms to milligrams.\nAnswer: 0.0000001316954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1304*z**4 + 928*z**4 - 8 + 1120*z**4 + (1 - 1 + 2*z)*(2*z**3 + z - z) + 0 + 0 + 3*z**4 to the form d*z**3 + l*z + o + c*z**4 + w*z**2 and give c.\nAnswer: 751","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**2 - d - 20. Suppose 15 + 28 = -11*u + 87. Determine m(u).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102210102 (base 3) in base 4?\nAnswer: -12321320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-71 - -51) + 39 + 0.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5164.\nAnswer: 2, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -563.65, -1, 3, -0.3, -7\/5 in descending order.\nAnswer: 3, -0.3, -1, -7\/5, -563.65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -50*f**7\/21 - 38*f**4\/3 + 310*f**2. What is the second derivative of o(r) wrt r?\nAnswer: -6000*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -v - 2*v. Let p(k) = 4*k + 3. Let t(r) = -5*r - 4. Give v*t(m) + 4*p(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2 (b) -0.3 (c) 15064\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (124 - 2) + (28\/(-4) - -4)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 885178*i**2 + 220402*i.\nAnswer: 1770356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -15*r - 344. Give w(-13).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(20\/(-36))\/5. Find z, given that v*z**2 + 0 + 1\/3*z = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1128 (b) 0.9 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**3 + 4*i**2 + 4*i + 3. Suppose -2*o - 161 = 21. Let w be 4*(-3 + 4) + -6 - -91. Let p = o + w. What is y(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2238013*u + 2237976. Give c(1).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2478)\/295*(-3)\/(-12)*20\/(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1636484623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -235600, -238296, -242790, -249082, -257172, -267060?\n\"Answer: -899*q**2 + q - 234702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + z - 1. Let s be l(0). Let a be s - -1 - (-1 - 2). Solve 13 = a*j + 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31300 - -12?\nAnswer: 31312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 60*x**2 - 5*x + 18. Does 6 divide y(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -867, 3064, 13751, 34572, 68905, 120128, 191619?\nAnswer: 286756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 991184\nAnswer: -991184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 295 and 1542906345?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4 - -17)\/((-12)\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.4 and 0.7711?\nAnswer: 0.6289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/9 or -3769997?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b - 39. Determine f(21).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2247\/(-5243)*10*(-7)\/(-210)*(-8)\/10.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -29*j**7\/504 + 8*j**4\/3 + 5*j**3\/6 - 104*j. Let h(x) be the third derivative of u(x). Let p(r) = r. Give p(h(o)).\nAnswer: -145*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 555081601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -185*a**2 - 80?\nAnswer: -370*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1251 - 6*l + 5*l - 463*l**2 - 1229.\nAnswer: -463*l**2 - l + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**3 - 2*y**3 - 15*y + y**3 + y**3.\nAnswer: -y**3 - 15*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3335600 divided by -66712.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 308*f + 309*f - 1245 - 618*f + (3*f + 0*f - f)*(-2 + 2 + 2) + (-2 + 0 + 3)*(f + 4*f - 2*f) to r*f + i and give i.\nAnswer: -1245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 34405\/119 - 6\/51. What is the greatest common factor of l and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -2.4, 0.3, 0.18 in descending order.\nAnswer: 2, 0.3, 0.18, -1, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z - 17. Give b(13).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-8) + (-275)\/(-20) + 5. Suppose -9*y - 30 = -k*y. What is the biggest value in 6, -0.2, -0.4, y?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44262.0256 rounded to the nearest 10?\nAnswer: 44260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82696 is divided by 82681?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -f + 15. Suppose 2*t = 8*t - f. Solve 2*w + 4*y = 2*y - t, -5*y + 20 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, s: 4}. Give prob of picking 2 c and 2 s.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2880\/(-9216))\/(4\/64).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1242 smaller than -1242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 331664757?\nAnswer: 3, 110554919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j**4 - 3822*j**2 - 106564 wrt j?\nAnswer: -8*j**3 - 7644*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 36\/30*-7 + (-2)\/(-5). Let i be 33\/(-22)*w\/6. Let f be 18\/(-3)*(-2)\/(-1). Which is greater: i or f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 186, 307, 428, 549?\nAnswer: 670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -137 + 162. Suppose -11*i + p = 69. Which is the smallest value? (a) -5 (b) -0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 46 = -4*h, -3*l + 2776*h + 33 = 2773*h. Factor l*t + 0 + 1\/4*t**4 - 5\/2*t**2 + 1\/4*t**3.\nAnswer: t*(t - 2)*(t - 1)*(t + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -1)\/((-12)\/(-4)). Suppose 2*k - b = -17, a*k - 2*k + 2*b - 16 = 0. Let l(o) = 1 + 0 - 2*o + 3. Let w(f) = -4*f + 9. Give k*l(n) + 4*w(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -969, -4, -5, -16 in descending order.\nAnswer: -4, -5, -16, -969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) -0.4 (c) -3 (d) -5.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times -42.64948?\nAnswer: 34.119584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*h**2*m*r - 46*h**2*m + 36*h**2 + 2*m*r - m + 39*r + 124 with respect to h.\nAnswer: -30*h*m*r - 92*h*m + 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**2\/3 + 54856*p\/3 + 128030 = 0.\nAnswer: -7, 27435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-14*y**2 - 146*y**5 + 16*y**2 - 26*y**5).\nAnswer: 172*y**5 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 0 - 3\/2*o**3 + 1\/2*o**4 + 0*o**2 + 3\/20*o**5 + 8*o. Find b, given that l(b) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -214 (base 10) to base 15\nAnswer: -e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33007560 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-6*(sqrt(5082) + (sqrt(5082)*1 - sqrt(5082))*-4))\/((1*sqrt(384) + sqrt(24))\/(4*(sqrt(4) + (sqrt(4) - (sqrt(4) + sqrt(4) + sqrt(12)\/sqrt(3)))))).\nAnswer: -1584*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 1 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48078 - 45050 + 93128 - 28*y**3.\nAnswer: -28*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*w + 117*w + 100*w.\nAnswer: 171*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-36)*262)\/(4\/12). Let d = 131 + t. Sort d, -2, 3, -7.\nAnswer: -7, -2, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 896297.3 millennia?\nAnswer: 896297300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - 2. Let m be -2 + f + 3 - (-2 + -6). Let o = 0.3 - -0.7. Put m, o, 2 in descending order.\nAnswer: m, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -666, -2654, -5968, -10608, -16574, -23866, -32484?\n\"Answer: -663*x**2 + x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 118882281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 4*z - 13, 3*f + 7*z - 18 = 2*z. Let n(s) = 5551*s - 1. Let l be n(f). Round l to the nearest one hundred.\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 157*h - 4708. Calculate b(29).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3568, 3435, 3302, 3169?\nAnswer: 3036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -48, -71, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 135572 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22266.15 - -21319. Let f = y + 970. Let u = -19 + f. What is u rounded to one dp?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 7*z + 4*z**2 - 12*z**2 + 10*z**2 + 1 as c*z + b*z**2 + v and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4445 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (9 - (7 - -10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 times 0.12?\nAnswer: 5.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7137*h*m*o**3 + 61*h*m*o + h*o**4 - 2*h*o**3 - 2*h*o**2 + 11*h*o wrt o?\nAnswer: -42822*h*m + 24*h*o - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppvd when four letters picked without replacement from {d: 1, n: 2, v: 3, c: 4, p: 2}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(200))\/sqrt(10) + -2.\nAnswer: -2 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 7 + 4 + -6 - -18\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 278389 by 1667.\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 11:35 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 9:07 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 - 6*l - 11. Let a be o(0). Suppose 3*v - 2*w - 54 = w, -4*v = 4*w - 48. What is the remainder when v is divided by (1 - a) + (-36 - -31)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**4 - 341162*s**2 - 1085151*s wrt s?\nAnswer: 12*s**2 - 682324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -3*u**2 + u + u - 6 - 3 + 4. Differentiate l(t) with respect to t.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -562*v + 570*v + 8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5830 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 73*x**2. Let j(l) = -5021*l. Determine j(p(s)).\nAnswer: -366533*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7473*v**4 - 9*v + 101?\nAnswer: -89676*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41835 + 41843 + 4*i**4 - i**2 + 5*i**3 - 2*i**4 to p*i + o*i**2 + x*i**4 + d*i**3 + s and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o. Let k(n) = n**2 - 5*n. Let r(u) = -u**2 + 4*u. Let x(g) = -g**3 + 13*g**2 - 11*g - 7. Let p be x(12). Let y(q) = p*r(q) + 4*k(q). Give y(h(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o = -2*o + 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -171, -320, -449, -558?\n\"Answer: 10*b**2 - 179*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21032629 to the power of 1\/2, to the nearest integer?\nAnswer: 4586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*d**4 - 72\/7*d**2 - 20\/7*d**3 - 16*d - 64\/7.\nAnswer: -2*(d + 2)**3*(d + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*l - 1 - 1 + 46*l + 74*l to the form m*l + k and give m.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 0, 4*x - k = -6*k - 8. Suppose 54 + 26 = 16*y. Sort x, y, 2, -1.\nAnswer: x, -1, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, h: 1, q: 2, z: 7}. Give prob of sequence ql.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12426, -12428, -12430?\n\"Answer: -2*d - 12424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) 1\/2 (b) 1\/6 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -294*(-2)\/4 + 6 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147156791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 12*f + 88. Let i be r(-7). Suppose 2*u + 5*j - 36 = 1, -i*u = 2*j - 66. Solve -56 = 8*m - u for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220 (base 8) to base 3\nAnswer: -12100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10638205*i**4 + 3316*i**2 - 1356*i wrt i?\nAnswer: 255316920*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q + 176387. Let f(m) = 460*m**2. Determine h(f(d)).\nAnswer: -920*d**2 + 176387","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**4 + 3*d**4 - 4*d**4)*(-26 - 8 + 9)*(-1 + 0 - 1).\nAnswer: -100*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3400)\/sqrt(2)*6.\nAnswer: 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 58\/10905259 or 0?\nAnswer: 58\/10905259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2445550 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*d = -31*d - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4196?\nAnswer: 2, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(0 - -12 - ((-61625)\/(-203))\/25)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-1)\/2*2 + 80\/32\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7634 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -2979) + (-1 - 15\/5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 - -85. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + m - 21 = 0, 4*m - 8*m = 5*y - 110. Suppose y = 3*k + 77. Let f = k - -28. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*d + 4*l - 3*l, 5*d - 11 = 3*l. Let z(b) = b**2 + 4*b - 3. Let r be z(-4). Calculate the least common multiple of 3\/((-1 - r) + -1) and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.88 * -0.2.\nAnswer: -1.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -16 - -21 - 35?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 972\/216*(-10)\/(-15). Put d, 1, -35\/4, -1\/6, -0.5 in decreasing order.\nAnswer: d, 1, -1\/6, -0.5, -35\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 7:12 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + b0bd0e?\nAnswer: b0bd10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 46486.5 hours in milliseconds?\nAnswer: 167351400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = a + 15. Let m = 3340 - 3316. Calculate the remainder when a\/3*(-6)\/(-2) is divided by m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7 and 54.7148.\nAnswer: 47.7148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 29*f**2 - 40*f + 20. Let q(m) = 5*m**3 - 115*m**2 + 160*m - 80. Let s(x) = 4*q(x) + 15*r(x). What is n in s(n) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 7 - 5. Let v(b) = -b**2 + 5*b - 3. Let x be v(2). Let m be (-1)\/x + (-20)\/(-84). What is the smallest value in h, 0.5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(132\/(-90))\/(-22)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m. Let j(i) = -2*i**2 - i**2 + 4*i**2 + 0*i**2. What is w(j(v))?\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffiffiffffffif. What is prob of picking 3 f?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -116 + -4?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 97 and 14?\nAnswer: 1358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10 + 160\/15)*(-5)\/(30\/3). What is the closest to q in 2\/11, 1\/7, 8, -57?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f = 15*f - 6. Suppose -114 + 60 = -f*h. Let i(r) = 9*r**2 + 2. Calculate the remainder when i(-2) is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -18*z**5\/115 - 39*z**4\/46 - 110*z**3\/69 - 25*z**2\/23 + 2. Determine l so that k(l) = 0.\nAnswer: -5\/3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v**3 + 2*v - 1. Let x(j) = 11*j**3 - 7*j**2 + 28*j + 3. Give -x(p) - 3*z(p).\nAnswer: -2*p**3 + 7*p**2 - 34*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -7. Suppose -4*s = -4*w + 42 + 50, -3*s + 7 = w. Let x = w - 16. Which is smaller: x or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1030868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10377953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1873\/13 - -144. Which is the third biggest value? (a) -2\/5 (b) 5 (c) 0 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/4 (b) -1 (c) -10 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 3, -61, -6, -2, -111 in descending order.\nAnswer: 3, -2, -6, -11, -61, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 7995?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 2 (b) 2\/3 (c) -2\/97 (d) -0.3 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/(-10))\/(158\/(-395)). Let g be (q - 0\/(-10))\/(-1). Factor 1\/2 + 1\/4*t**g - 1\/2*t**2 - 1\/4*t.\nAnswer: (t - 2)*(t - 1)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 7 = -15. Let p be (-3)\/z + -69*(-214)\/12. Let h = 2067 - p. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3 = a. Let g(v) = -v**3 - 4*v**2 - 2*v - 2. Let n be g(a). List the prime factors of n\/(-2)*(-16)\/(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -116561*f**3 + f**2 + f - 4142?\nAnswer: -699366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-16 - 4)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 413*t**2 - 819*t**2 + 404*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/35)\/(20\/14 + -4). Which is the nearest to -25\/2? (a) 4 (b) -2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - -3 - (10 - 7). Solve 2*k + 4 = 5*l, -k + 2 = -a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1832*t - 2999 wrt t.\nAnswer: 1832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4*t = 4051, 5*x - 6509 = 2*t - 2452. Let m = 7866 - x. Suppose 20*r - m = 15*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, l: 3, a: 4}. What is prob of picking 2 l and 2 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 24\/11*j - 54\/11 - 2\/11*j**2 = 0.\nAnswer: 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105944 divided by -2584\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)\/(sqrt(81) - sqrt(9)))\/(6*(sqrt(9) + sqrt(36))).\nAnswer: sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 3564.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 4*n - 2. Let c(z) = -z**2 + 3*z + 2. Let h(i) = -5*c(i) - 4*r(i). Suppose 3*k - 8 - 10 = 0. Suppose k*y - 12 = 2*y. Determine h(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**5 + 6*j**3 - 35*j**2. Let h(v) = 10*v**5 + 17*v**3 - 105*v**2. Let q(z) = -17*d(z) + 6*h(z). Find the third derivative of q(s) wrt s.\nAnswer: 540*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4*v + 8191, -5*l + 2042 = -113*v + 114*v. What is the highest common divisor of 89 and v?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18741641*t**2 + 274*t + 4669.\nAnswer: -37483282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 384 and 43056.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + 5. Let m be d(-5). Suppose 2*h - 4*x - 6 = -m*h, 8 = 2*h - 3*x. Let u = h - 4. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2027 or -2024?\nAnswer: -2027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*b - 11 = u, -23 = -5*u - 4*b. Suppose -u*r - r = 0. Solve -32 = -4*k - r*k - 3*t, -2*k - t + 14 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4434.476 centuries?\nAnswer: 5321371.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.42611 nanometers in meters?\nAnswer: 0.00000000442611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3 = 18. Suppose 2*d - l = 13. Suppose -3*n = -d - 7. Solve 3 = -3*f + 3*v, 3*v + n - 2 = -3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + 36. Solve 0 = -4*t - 20, 5*t = z + 3*z - f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8, -13, -16, -17, -16, -13, -8?\n\"Answer: d**2 - 8*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9*14\/1512)\/(1\/1).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + v - 1. Let c be y(1). Suppose 0 = -5*g - 4 - 26. Let s be 0 + (-3)\/(g\/4). Sort -2, c, s in descending order.\nAnswer: s, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.84107 to two dps.\nAnswer: 0.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -181 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177 = -a + 181 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 12601\/68 (b) -5\/2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -5.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1219.\nAnswer: 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1)**(1\/43)\/(l*((l\/l**1)\/l)\/l*l)**(-2\/79))**50 assuming l is positive.\nAnswer: l**(50\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*(-3)\/(-2 + -1). Suppose -g - w*g = -15. Suppose 6 = g*a - 3. Solve 5*l + a*y = -21, y + 1 + 4 = -l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 16. Let u be w + 15*(3 - 2). Suppose u*n + 2 = 17*n. Solve -n*k = -5*k + 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38557779.6339390812 + 9286.6339442812. Let k = i - -38548517. Let d = k + -24. Round d to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -7. Suppose 4*r = 4*z + 16, -39*z + 40*z + 5*r = 38. Solve -2*n + 3*k = z*n - 26, p*k = n - 10 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1666 divide 4477541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.02 - 0.02. Let a = 0.266 + -0.466. What is the closest to 0.1 in k, a, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4131 = 2*f - g, -12*f + 16*f + g = -8271. What is the hundreds digit of (54\/(-45))\/(f\/(-1035) - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1818, 1826, 1834, 1842?\nAnswer: 1850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - -293.\nAnswer: 293.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 91*b + 66 = 88*b, 5*b = -2*l + 66. Calculate the greatest common factor of l and 2893.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 214*b**4 + 8*b + 2 + 216*b**4 as c*b + d*b**2 + t + v*b**4 + w*b**3 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1658447296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - (-9 + -30 - -30)) + 9?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 602519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 6*g + 27. Let b be v(25). Suppose 9*z - b = -6. Which is greater: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(4\/9*-3 - -1). Solve -r + 0 - 3 = h for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2460 + -2454. Solve f = -5*a + 21 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 4, 2, 0, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 3*q + 20 = 14, 4*r - q - 7 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -178421.\nAnswer: -3\/178421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffiffrffffcf. What is prob of picking 1 f and 1 r?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*q - 21 = 0, 4*q - 13 = -b - 0. Suppose b*g - 11 = -4*r, -5 = -r + 2*g + 1. Calculate the lowest common multiple of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wpp when three letters picked without replacement from {w: 8, p: 3}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -86, -116, -148?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 398936340 and 3240?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 5*t - 598 - 128, -1848 = -5*w - 4*t. Let k = -4 - -4. Suppose k*f + 2*f - 149 = 5*r, -4*f + w = 4*r. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -286767 divided by 2451\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 89*m**2 + 7*m + 6. Let d(k) = -88*k**2 - 6*k - 5. Determine -7*d(p) - 6*z(p).\nAnswer: 82*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 950993676?\nAnswer: 2, 3, 43, 47, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 0)\/(0 + 2). Suppose c = -5*u - 5*f + 125, -4 = -f - 1. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at least -12752?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2\/7 - 4\/7*t - 6\/7*t**2 = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*k - 2 = -143*k. Suppose -3*a - 21403 = -y - 87263, a + k*y = 21951. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -3 + -23 + -5. Let m = q - -32. What is the closest to -1 in m, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54.7 - 12.7. Let d = -37 + r. What is the biggest value in -5, -3, 0.1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2008*v**5 + 658*v**2.\nAnswer: -120480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*m = -1 - 9, -4*w = -4*m - 20. Let t be 4\/(-35)*(-5)\/(-2). What is the third smallest value in -4\/3, w, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2273762*g**2 - 6*g - 71676?\nAnswer: 4547524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/11 or 2.6?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 16. Let g be (-2 + j - -9)\/1. Suppose -g*o - 170 = -485. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34461 and 4578390.\nAnswer: 32048730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 5*q + 7. Let r be p(4). Let v be r\/((-81)\/6)*(-27)\/3. Solve 0 = z + 2*w - 7*w, -v*z = -4*w + 6 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16253, 83, 4, -1 in ascending order.\nAnswer: -16253, -1, 4, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 + 1715 - 1715.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/((-24)\/324*-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**4 + 21*x**3 + 72*x**2 + 68*x = 0. What is x?\nAnswer: -17, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039 less than or equal to 930?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/24)\/(4\/(-24))*(-20)\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*s - 42 = 0, -5*f - 2*s - 37 = -5*s. Let u be (5\/(-5) - -1) + 4 - 2. What is the tens digit of u*(-2)\/f*22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5*b = -125, -2*w + 4*w = b - 59. Is (-543)\/(-7) + w\/49 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k = k + 24 + 106 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7330 + -5161. Suppose -12*u = -3*u - w. Suppose -j + 4*c + u = 0, 3*j = 6*j + c - 697. What are the prime factors of j?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 + 13 - (-14 + 5 - -13) - -19?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-4) - (-645)\/172.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-6*105\/180)\/(20\/(-70)*1)\nAnswer: 49\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -179, -180, -183, -188, -195, -204?\n\"Answer: -q**2 + 2*q - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 9*y + 12. Let o(d) = d + 1. Let f(j) = -j + 19. Let n be f(16). Suppose -n*p = -2 + 5. Give p*w(h) + 12*o(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c + 2. Give j(21).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -6403*c. Let b(a) = -56*a**2. Determine z(b(x)).\nAnswer: 358568*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10766.5 - -10767. Which is the fourth biggest value? (a) 0.4 (b) -5\/78 (c) r (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 80.94 - 81. Which is the third smallest value? (a) x (b) 0 (c) -5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 (base 3) in base 15?\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -0.067, 2, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 t when four letters picked without replacement from {e: 1, w: 1, s: 2, t: 3, r: 9, d: 2}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 51344 (base 8) to base 6\nAnswer: 242124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2585031, 5169993, 7754955, 10339917, 12924879, 15509841?\n\"Answer: 2584962*n + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (15 - (2 - -11) - 25)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*c = 326*c - 2890 + 16267 for c.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 16. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457446153?\nAnswer: 3, 152482051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1446 = -5*l + 2*l. Let z = l - -681. What are the prime factors of z?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 74 + -265?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m*m\/(m*(m\/(m\/(m*m**1)))\/m)*m))\/m**(4\/3))**(-13)*m*m\/m**(1\/2)*m*m**(-5)*m**2*m\/((m*m**(1\/6)*m*m)\/m) assuming m is positive.\nAnswer: m**(86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -j**2 - 730639*j - 295600?\nAnswer: -2*j - 730639","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -v**2 - 6*v - 3. Let p be x(5). Let h = p + 50\/3. Is h less than -0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 716 = 4*y - 5*z + 121, 2*z + 6 = 0. What is the remainder when y is divided by 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -87316 and -87315 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*m + 34, -2*k + 6*k = 3*m + 43. Let t = 19 - k. What is the highest common factor of t and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 2830\/857?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 2.2. Let w = -0.7 + h. Sort w, 2, -6 in descending order.\nAnswer: 2, w, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-36)\/(-8))\/(-3) - 943\/(-82). Solve 4*j + 20 = -5*i, -9*i + s = -13*i - 2*j for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 11*i**2 + 20*i - 11. Let v(g) = -g**2 + 17*g - 13. Let h be v(16). Let t be h\/12*12\/3 + 8. Let r be o(t). Solve b + r - 2 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -647 - -550 - (-7567)\/92?\nAnswer: -59\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3c + -4c21?\nAnswer: -4c5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 439476 divided by -53?\nAnswer: -8292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9\/13, 3, 0.5, -168.33.\nAnswer: -168.33, 0.5, 9\/13, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 67778766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -91, -86, -47, 26, 133, 274?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 710*a - 8 + 2 - 715*a in the form z*a + k and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -178*k + 2134. Give m(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 539659457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48152 = -4*v + 12*g, 0*v = -v + 4*g + 12040. List the prime factors of v.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5414.8017 to the nearest 100.\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve -83*v + 46*v + 3006 = 130*v for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 537290 and 2990.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**3\/5 - 608*l**2\/5 - 1891*l + 10064\/5 = 0. Calculate l.\nAnswer: -592, -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -0.5 (c) -2\/5 (d) 2692 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, v: 3, h: 3, x: 4, p: 2}. Give prob of sequence xxhh.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2 - 2 + 3 - 3*j. What is the remainder when 14 is divided by w(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-62)\/899 + (-5700)\/(-85173). Let t = 2945\/3916 + m. Find f such that 3\/8*f - 3\/8*f**2 + t = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26371 + -15266. What are the prime factors of n?\nAnswer: 5, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 93691403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81\/(-6) - -12)*(-8)\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -214.028 + 0.028. Let m = 216 + i. Which is the second smallest value? (a) -6 (b) 1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83\/7, -3\/7, 2\/7, 12\/7 in decreasing order.\nAnswer: 83\/7, 12\/7, 2\/7, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3850)\/5390*24\/40?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 4216*v**3 - 4959. Let k(b) = -b. Determine r(k(l)).\nAnswer: 12648*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 8*o - 828. Let d be i(33). Sort d, -510, -2, -5 in decreasing order.\nAnswer: -2, d, -5, -510","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 7:20 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*j - 12 = 0, -j - j = -10. Let h = 135 + -7. Calculate the remainder when h is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s**3 + 6*s**2 - 15*s - 3. Let i(z) = -3*z**3 - 4*z**2 + 14*z + 2. Calculate -3*i(u) - 2*w(u).\nAnswer: u**3 - 12*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 43*s + 756. Calculate the least common multiple of p(-15) and 138.\nAnswer: 7728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.35 + -0.05. Let b = 57439\/123 - 467. Let u = b - -131\/492. What is the closest to u in -4, d, -5\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 84*z**4 - 186*z**4 + 88*z**4 + (2*z + 7 - 7)*(z**3 + z**3 + z**3) to the form c*z + h*z**4 + g + b*z**3 + s*z**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13362, -19496, -29720, -44034, -62438, -84932, -111516?\n\"Answer: -2045*n**2 + n - 11318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**4 + 2*g**4 - g**4 + (0*g + 0*g - 4*g)*(49*g**2 - 9*g**3 - 49*g**2) + 9*g**4 - 16*g**3 + 16*g**3.\nAnswer: 48*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99633717?\nAnswer: 3, 11070413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 441936 and 18786?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 146922805 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 79 = -37. Let i(m) = -2*m**2 + 26*m + 32. Let z be i(h). Factor 2\/13*s**5 + 2\/13*s**z - 4\/13*s**2 + 2\/13*s + 2\/13 - 4\/13*s**3.\nAnswer: 2*(s - 1)**2*(s + 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5291563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 297, 321, 363, 423, 501?\n\"Answer: 9*w**2 - 3*w + 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g. Let n(c) = 3*c + 1. Let o(h) = 5*n(h) + 4*v(h). Let u be o(3). Solve 3*y = 5 - u for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -26. Suppose -5*m = -5*l - 690, -2*l + 3*l = -5*m + 720. Calculate the greatest common divisor of q and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/6)\/(166\/(-40) + 4). Is 11 a factor of g\/(-70) + 951\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18*(-32)\/(-288)*413\/14*1\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.8271 centuries to millennia.\nAnswer: 1.88271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 5*x - 605, -o + 5*x + 183 - 32 = 0. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*g**3 - 6*g**3 - 17*g + 6*g - 17*g**4 wrt g.\nAnswer: -204*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a09cd8 (base 14) in base 15?\nAnswer: 71b953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 100582363 to the power of 1\/2, to the nearest integer?\nAnswer: 10029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((-1*(sqrt(500) - sqrt(500)*-2))**2 - (sqrt(500) + (sqrt(500)*1)**2)*4) + -1 + (sqrt(500) - (4*(-1 + sqrt(500)) + sqrt(500)))**2 + 0).\nAnswer: -10515 + 360*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 6480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2353.33 milligrams to tonnes.\nAnswer: 0.00000235333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 1:12 PM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (-8 - (-10 - 6)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 3 (c) -3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 60881 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3005948 is divided by 2067.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -2*d - 2 + 7, 2*d - 3 = -b for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (4 - (2 - -5) - -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 412.7439 millennia?\nAnswer: 4127.439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 515 (base 10) in base 8?\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43494554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12675 - 776 = 13*q - 1205. Calculate the least common multiple of q and 2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47342884 - -163.3\nAnswer: 47343047.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (1 - -1) - -10. Suppose -j = -5*k + 25. What is the remainder when 11 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/280 and -57\/490?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1153370?\nAnswer: 2, 5, 115337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25975832 by 4.\nAnswer: 6493958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from ttiittiitttit?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 1276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5624485427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7737644 is divided by 6045.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 - l + 0*l)*(-4*l**3 - 2*l**3 + 3*l**3) as i*l**4 + h*l**3 + b + g*l**2 + c*l and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3912766313 to the power of 1\/2, to the nearest integer?\nAnswer: 62552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 + -3 - -11) + -2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 4*8\/(-4) - 16.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -35*m + 1. What is c(1)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*v**3 + 356*v**2 + 268*v - 68.\nAnswer: 4*(v + 1)*(v + 17)*(5*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21334463417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26 in -2, 1\/3, 3, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**12*t\/t**(1\/13) assuming t is positive.\nAnswer: t**(168\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/8 + 22\/(-8). Let m be (-7 + 16)\/(-18)*8. What is the third smallest value in 0.7, y, m?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6459 is divided by 170?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-142)\/(-6) - ((-8)\/(-12) + 0). Let k = z + -20. Suppose 6*w + 26 = 2*b + k*w, -b - 9 = 4*w. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 17\/(-8))\/(15\/300)*22\/(-55)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1474 + 7177. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k**2 + 0*k**2 + k**2)*(-4*k**2 + 4*k**2 - k**2) + 0*k**4 - 3*k**4 - 4*k**4.\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(153)*3)\/sqrt(9) + -4 + -3 + 3.\nAnswer: -1 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.341 + -733.859. Let a = -736 - o. What is the nearest to 0.2 in 5\/4, -0.35, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/453696 and 79\/1312.\nAnswer: 18601536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 2*k**4 - 4*k**2 - 2 - 2*k + 4*k**2 to m*k**3 + n*k**4 + z*k + q + h*k**2 and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1843 + 6111. What are the prime factors of w?\nAnswer: 2, 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**2 - 768*l**3 - 774*l**3 - 2*l**4 + 1533*l**3 to a*l**3 + p*l + k*l**2 + x*l**4 + u and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82562443334 + r**2 + 82562443334.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 375009257?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - (6\/(-1))\/(-2). Let p(i) = 3*i**3 + 9*i**2 - 2*i**3 - 1 - 3*i + 10*i. Is p(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20094487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -439.9593 + 440. Let v = -0.037 + d. Round v to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1154 = 63*x + 2729 for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/144 and 151\/504?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g**3 + 21*g**2 + 18*g + 22. Let i(y) = 3*y**3 - 20*y**2 - 17*y - 23. Let c(u) = -4*b(u) - 5*i(u). Is c(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -355b65 + 2?\nAnswer: -355b63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12621 or 12620?\nAnswer: 12620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37\/(-156) - (0 + (-28)\/182).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1400 - 1750 = -9*h. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-154)\/(-28)*54\/2079.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b\/b**(-13))**(-30\/13)*(((b\/b**(1\/6))\/b)\/b)**(2\/143) assuming b is positive.\nAnswer: b**(-1219\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12002\/1412 + 10\/8*-2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.152309 years?\nAnswer: 0.0152309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 4, 2, -1630, -3, -1 in decreasing order.\nAnswer: 12, 4, 2, -1, -3, -1630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -1. Let q(i) = 12*i - 12. Let z(r) = -r + 1. Let k(h) = 3*q(h) + 24*z(h). Let x(n) = k(n) - 5*u(n). Differentiate x(f) with respect to f.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-33)\/(-9) + -4)*-977. Let g = 326 - q. What is the fourth biggest value in 3, 5, g, -1\/23?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + -1)\/(3\/(-21)). Let x(k) = 2*k - 18. Let p(i) = i - 5. Let r(a) = -14*p(a) + 4*x(a). Let v(g) = 1 + 3 - 2 + 5*g. Calculate d*v(f) + 6*r(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 611*z = 298*z - 165*z - 1112*z + 90630 for z.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**33)**(-46)\/(u**(-1\/41)\/u**(-2\/85)))**(1\/52) assuming u is positive.\nAnswer: u**(-5290227\/181220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 193 = -3*g, 3*x - 3*g - g + 139 = 0. Let n = -218 - -276. Let k = x + n. Which is smaller: k or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5983 times 0.018\nAnswer: 107.694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 192 + -188. Let x(j) = -6 + j**3 - 4*j + 0*j**3 + 18 + 5*j**2. Let t be x(-6). Solve -h*w = -t*w + 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**2 - 55 + 55 + 2*r to the form v*r**2 + h + q*r and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s + 17*s + 68*s in the form i + q*s and give q.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2. Let b(t) = 12*t. Let s(v) = 4*v. Let w(h) = 2*b(h) - 7*s(h). Give w(y(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*s**2 - 27 + 27)*(-15*s**2 - 15*s**2 + s**2).\nAnswer: -1276*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 4. Suppose 4*c - 38 = -2*h, 3*h + 2*c - 9 = 40. Suppose -4*l - 5*p - h = l, -2*p = 3*l + 4. Solve -d + 4*b - 6 = l*b, 4*d - f*b + 4 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3637209 - 91622?\nAnswer: 3545587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -90 (base 12) to base 5.\nAnswer: -413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -291 + 309. Calculate the lowest common multiple of z and 46.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 205*s - 397*s + 3840 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a + 6. Let g(w) = -1 + 7 + 3 - 2 + 3*w. Let x(v) = 5*d(v) - 4*g(v). Calculate x(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v + 2. Let c(g) = -g - 1. Let s(x) = -2*c(x) - d(x). Let i(f) = f**2 + 8*f**2 - 10*f**2. Calculate s(i(z)).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74792*u**2 + 37399*u**2 + 37391*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01481109852 to 6 decimal places.\nAnswer: -0.014811","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 165539 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*g = -536, 4*g - 3*g = 2*a - 359. Calculate the highest common divisor of a and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -m**3\/3 + 9*m**2 - 18. Let v be g(18). Solve -3*t + v*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 887713254 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 0*l**2 + 0*l + 1\/12*l**4 - 25 + 0*l**3. Solve z(s) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 50*h + 43. Let b(w) = 50*w + 44. Suppose -3*t = 3*v + 6, -t - 3*v = -4*t - 24. Let j(g) = t*q(g) + 4*b(g). Find the first derivative of j(r) wrt r.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d + 8. Let t be g(-4). Suppose t*j - 14*j + 8 = 0. Factor -3*x**5 + 81 - 84 - 3*x**j + x - 2*x + 6*x**2 - 2*x + 6*x**3.\nAnswer: -3*(x - 1)**2*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -346, -315, -298, -295, -306, -331?\n\"Answer: -7*r**2 + 52*r - 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 156778 divided by 2?\nAnswer: 78389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*u - 5 = 0, 2*m = m + 3*u + 6. Suppose 7*v = m*v + 12. Suppose q + v*h = -2*q - 141015, 2*q + 3*h + 94015 = 0. Round q to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*j - 111*j = 4*t - 16, -2*t - 4*j = -22 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40179318 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: What is (915\/6710)\/((-144)\/440)?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -375 or -325?\nAnswer: -375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*2\/12 + 56\/21. Solve 0 = c + c - h + 2, 13 = c + z*h for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -5*w**3 + w**2 + w. Let k be a(-1). Suppose 0*u - 2*u + 2*q = -16, 5 = 4*u + k*q. Suppose -4*b - 4*p = -180, 2*p = -3*p + u. Is b a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 + 190 - 67 + 12*g - 59.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 83, 333, 749, 1331, 2079, 2993?\n\"Answer: 83*w**2 + w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + sqrt(112) + sqrt(112) + 0 - sqrt(112))**2 - sqrt(14)\/(sqrt(12)\/sqrt(6)) - ((1*sqrt(7)*1)**2 + 2*sqrt(112)).\nAnswer: -9*sqrt(7) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 332 + -595. Let a = 522 + p. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355 = -117*u + 1642 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**3 - 23*w**2 - 21*w + 555. Calculate the smallest common multiple of x(16) and 18.\nAnswer: 15138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 982*p - 323*p - 106148 = -1310*p + 408*p for p.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*n**2 + 6755 - 6746 + 442*n**2 - 291*n**2.\nAnswer: -4*n**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 - (-71 + 64) - 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-300)\/(-21) + (-6)\/21. Suppose 2*t - 20 = -6. Calculate the highest common factor of t and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75660373 is divided by 4305?\nAnswer: 4303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*v**2 - 16*v - 50\/3*v**3 + 8\/3.\nAnswer: -2*(v - 1)*(5*v - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/1 - 24\/6. Let r be (-1)\/((-8)\/(-2292)*s\/4). Let k = r + -99. Is k a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16741?\nAnswer: 16741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -608, -462, -218, 124, 564, 1102?\n\"Answer: 49*d**2 - d - 656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r\/(r*r*r**(-2\/15))*r*r*(r*r\/(r**(-3\/5)\/r))\/r)**(2\/21) assuming r is positive.\nAnswer: r**(172\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.8 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34)\/255)\/(6\/10).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20455 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1.5, -0.2, -292?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-33)\/12 + 3). Suppose -d*w - 10 + 10 = 0. Solve w = -8*v + 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + y + 1 = 0, 5*u - 2*y + y - 25 = 0. Let k(b) = -b + 10. Let x be k(u). Suppose -j = 3*z - 0 - 1, 3*j = -3*z - 9. Sort -5, z, x.\nAnswer: -5, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2559 - 20537\/8. Suppose -4*a = -6*a - x - 10, 2*a = -4*x - 10. Calculate the common denominator of (-2)\/a - 162\/(-70) and i.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -11*o**4\/24 - 43*o**3\/3 - 213*o**2 + 1. What is f(-10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 42461 = 2288771. Let l(v) = -1727811*v + 6. Let s be l(2). Let k = g + s. Round k to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9296 + 9298.7. What is the fourth smallest value in -1\/5, 3, 0.3, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122010122 (base 3) to base 10.\nAnswer: -12491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 209*t**2*v**3 + 291*t*v**3 - 19556*v**3 + 10*v wrt t?\nAnswer: 418*t*v**3 + 291*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 486 - 485. Let d = -527 - -326. What is the tens digit of (-2*d\/6)\/r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/816 and -4\/51.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 7 = -3*z, z + z + 2*a - 14 = 0. Let s(d) = -d**2 - 11*d - 9. What is the least common multiple of s(-9) and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v + 21*v = -8*v. Suppose -3*s + 6 = v, -4*s - 62 = -2*r - 7*s. What is the lowest common multiple of 6 and r?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**2\/2 + 15*v + 29\/2 = 0?\nAnswer: -29, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 538 a factor of 78539930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5096093*c - 21 - 5096124*c + 21.\nAnswer: -31*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*k + 3*q, -2*k = 2*q. Sort 161, k, -4 in increasing order.\nAnswer: -4, k, 161","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 3*q**2 + 4. Let p be (((-16)\/(-20))\/((-5)\/(-25)))\/(-2). Let m be 3\/(4 - (7 + p)). Let d(i) = -i**3 + 2*i**2 - 4. What is m*d(s) - 2*b(s)?\nAnswer: s**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 10. What is the nearest to -1 in -1\/4, x, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -155530?\nAnswer: -155526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 1\/21, 6, 135, -1 in increasing order.\nAnswer: -1, -2\/3, 1\/21, 6, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 231 divide 19750500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 v when two letters picked without replacement from klvthxhx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.476408275 rounded to three dps?\nAnswer: 4.476","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2 + 2. Let r be 0 - (1 + 1 + -9). Let k be r\/(-14) + (-6)\/4. What is the least common multiple of 10 and g(k)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/148 and -21\/40.\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -69076.08231 rounded to the nearest integer?\nAnswer: -69076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5*p - 566, 8*p = 5*p + 3*o + 339. Let q = -223\/2 + p. What is the closest to 0 in q, 13, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 47715.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -2675?\nAnswer: 2676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -59*a + 37*a + 528. Suppose a*g = 19*g - 5. Let d(n) = -n**3 + n**2 + n + 1. Let o(h) = 11*h**3 - 6*h**2 - 6*h - 6. Determine g*o(t) - 6*d(t).\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001105569 to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2387476?\nAnswer: 2, 7, 13, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*j**2 - 14*j**2 - 46*j**4 - 18*j + 45*j**4 + 3*j**3 + 6*j**2 + 15 + 31*j in the form b*j**2 + g*j + x*j**4 + y + k*j**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80 by 80.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 - -22. Let a = i + 24. Calculate the lowest common multiple of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 15403*v + 245950. Determine x(-16).\nAnswer: -498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 7, s: 3, d: 1, q: 1}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 15 + 1 = -4*g, -3*g + 3 = 0. Suppose -t + j = -0*t - 3*l, -t = 4*l + 2. Solve 4*o = 5*w + 22, -4*o + t*w + 15 = -1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 66 + -68. Let k be 3\/g*(-9940)\/42. Let p = -253 + k. What are the prime factors of p?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 3 (c) 0 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -29*k**2 - 1655*k - 101. What is c(-57)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 62. Let o = j - 51. Let m be 1*(-1 - 0) - -1. Is o less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 100632556*b**5 + 2*b**4 - 2*b**2 - 2*b + 627262489.\nAnswer: 2012651120*b**3 + 24*b**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1387\/5 - -277. What is the second biggest value in 0.3, m, -0.15, -1?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 388 = 3*u + 361. Suppose 6*z = 3 - u. Is z at most as big as 2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-1))\/(4\/(-36)). Suppose p - 19 = 3*t, 9 = 2*p - 2*t - r. Solve 3*l + 1 = p*b - 2*l, -2*b - 3 = l for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z + 51 - 83 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 + 62 - 33 - 32)*(-w**2 - 2*w**2 + 0*w**2).\nAnswer: -6*w**5 + 9*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.07636228 and 5?\nAnswer: 5.07636228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-25))**(17\/2)*(q\/q**(-3\/2)*q*q\/q**(1\/3))**39 assuming q is positive.\nAnswer: q**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose w**3\/4 - 127*w**2\/4 + 125*w\/2 = 0. What is w?\nAnswer: 0, 2, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccc. Give prob of sequence cccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 6) to base 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331182 - 2*l**3 + 331182.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*z**3 + 50528*z**2 - 50540*z + 12636.\nAnswer: 4*(z + 3159)*(2*z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 1 (c) -0.3 (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4506*z - 39 + 4515*z - 9016*z. What is c(10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 36231?\nAnswer: 36231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.18 (b) -5 (c) 2\/9 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4949\/125103 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9976885.\nAnswer: 5, 31, 191, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -2 (b) 1\/3 (c) -4 (d) 11 (e) 4070\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -h + 17, 31 = h - 3*h - 5*n. Let k be (5\/(-3))\/((-1)\/h). Let u = k + 9. Solve 6*t + 6 = u*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/4)\/(13 - (-189)\/(-14)). Put -1, z, -916 in descending order.\nAnswer: z, -1, -916","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o + 0 - 3*o + 11 + 2*o + 0*o as m + c*o and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.548 + 0.524. Let h = -0.024506 - q. What is h rounded to 5 dps?\nAnswer: -0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-12) + ((-177)\/(-18) - 6). Is g - 4 - 1\/((-1)\/469) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by (-552)\/(-21) - (-2)\/(-7).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 20 = -0*b. Solve 0 = -3*u - 7 - b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7.2 or 1\/4?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -59.67.\nAnswer: 29.835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 43\/(-129)*6\/9\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eeeeeeyyeeeeeey.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.28 + 24308.5.\nAnswer: 24308.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**5 + u**3 - u**3 + (-u - 3*u + 3*u)*(-2*u**2 + 2*u**2 + 2*u**4) + u**5 + 0*u**3 + 0*u**3 + 3*u**5 + 3 - 3.\nAnswer: u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 820.8579 - -0.8421. What is w rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -3.5. Suppose c - 32 = -7*c. Let l be 1 - 1 - 4\/c. Sort 2, l, k.\nAnswer: l, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10163? (a) 1\/2 (b) 0.1 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/72*(-2)\/(-7))\/((-4)\/(-24)).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.318*-0.3.\nAnswer: 0.0954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from djvvudvdnvn. What is prob of sequence ddvu?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4*c - 6. Let g(b) = 7*b**3 - 7*b**2 - b + 3. Let n(h) = 19*h**3 - 21*h**2 - 4*h + 8. Let q(z) = -11*g(z) + 4*n(z). Give q(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 30*a + 222. Let u = 542 - 548. Let y be o(u). Solve -q = y*q - 21 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2750, -5543, -8346, -11159, -13982, -16815?\nAnswer: -19658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 55135118 times -4\nAnswer: -220540472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -7*i**4 + 17*i**3 + 16*i**2 - 8*i - 2. Let q(u) = 15*u**4 - 34*u**3 - 33*u**2 + 16*u + 5. Let d(j) = 5*f(j) + 2*q(j). Factor d(a).\nAnswer: -a*(a - 4)*(a + 1)*(5*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 2*d - 1. Calculate n(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -398, -409, -434, -479, -550, -653?\n\"Answer: -t**3 - t**2 - t - 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + s**2 - 19 - s - 13 + 2*s + 24. What is w(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and 1200910.246.\nAnswer: 1200910.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-22)\/4 - (-1)\/2. Let r be 52\/12 - (-1)\/(-3). Suppose 0 = -3*t + 4*t + r. Which is the third smallest value? (a) t (b) w (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 9:44 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 - 64*x + 17 + 65*x)*(-3*x + 0*x + x).\nAnswer: -2*x**2 - 116*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(416)\/sqrt(8) + -5 - sqrt(52)) + 4 + 1*sqrt(468))**2.\nAnswer: -12*sqrt(13) + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 69\/2 of a millimeter?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13861.\nAnswer: 83, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s - 2. Suppose 0 - 3 = g. Suppose 2*f + 8 = -4. Let u be (f\/4)\/((-9)\/12). Let q(r) = 4*r - 2. What is g*k(o) + u*q(o)?\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q + 11. Suppose -9*n + 14*n - 7 = 3*v, -n + 14 = -2*v. What is y(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -151458*f**3 + 109588*f**2?\nAnswer: -908748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72964.46l to millilitres.\nAnswer: 72964460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -5\/17128?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 480 and -52.53.\nAnswer: -25214.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -682 divided by 62?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9656753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3 - (-10)\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -937493, -937449, -937391, -937319, -937233, -937133, -937019?\nAnswer: -936891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/2*(-17)\/204?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kllpe. What is prob of sequence pke?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 - (3\/3 + (-33 - -2)). Solve -2*p - 5 = 5*z - 30, 0 = 4*p + 5*z - l for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of 1\/5*g**5 + 1\/3*g**4 + 0*g**2 + 0 + 0*g**3 - 6*g. Solve n(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -483\/2 - -244. Let h(d) be the second derivative of 0 - 9*d - 1\/12*d**4 + 7\/6*d**3 + f*d**2. Determine h(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 - 4*j + 6*j**2 + 4*j.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -66 + 73?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b + b - 4*b. Let y be n(-2). Let v(o) = -3*o**3 + 3*o + 1 - y*o - o + 2*o. What is v(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/6044859309 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*v - 60 - 276 = -5*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -67*a**2 + 79*a. Let k(d) = -22*d. Calculate k(u(x)).\nAnswer: 1474*x**2 - 1738*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -192*(2\/(-13) - 9996\/55692)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 3*v - 9, -3*j - 3*v = -v + 5. Let h = 14 + -10. Let q(g) = g**3 - 5*g**2 + 7*g - 5. Let p be q(h). Solve 2*k = j + p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/5404 and 101\/772.\nAnswer: 5404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(720) + sqrt(720) + sqrt(720) + -4*sqrt(720) + 0 - (sqrt(720) + -1 + 3 + sqrt(720))*-1)**2 + -5.\nAnswer: 120*sqrt(5) + 740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*w - 4 = 85*w - 173*w - i, 0 = -2*w + 5*i - 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(((p*(p**(10\/9)*p)\/p)\/p*p)\/p))\/(p\/(p*p\/(p*p**(-3\/13)))))\/(p**(-3)*p*p*p\/p**(-24)) assuming p is positive.\nAnswer: p**(-2794\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w - 11. Let p be g(-8). Let o = -174 - -240. Let v be -4*(-2)\/(-4) + o\/21. Is v at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42840, -85668, -128496, -171324?\nAnswer: -214152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 6\/(-2))*1. Let l(d) = 3*d**2 + d - 3. Let r be l(f). Solve b = -u - 5, 2*u + r = 3*u - 5*b for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20314*a**2 - 18*a + 0 + 20476*a**2 + 0 wrt a.\nAnswer: 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.1 * 5.\nAnswer: 45.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -8, -0.3, 0.02, -0.4, 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l. Let s(j) = -j + 1. Let i(u) = -498*u - 1. Let c(p) = i(p) + s(p). Determine c(x(t)).\nAnswer: -998*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 30972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3431*v**2 - 6035873*v + 6035873*v)*(v + 5*v - 4*v) - v**3 + v**3 + 2*v**3 in the form u*v**3 + y*v + z*v**2 + x and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/83997 and 53\/776628.\nAnswer: 47374308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18392)\/(-16720) + 5\/(-2)*(-1)\/(-5)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1036\/(-2740) + 4\/10. Let s = 369\/1918 + m. Suppose v + 26 = -i + 25, 2*v + i = 0. Is s at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13332*c*w**2 - 216*c*w - 5*c - 80*w**2 - 3*w + 5 wrt w?\nAnswer: 26664*c - 160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3*(((sqrt(121) + (sqrt(121)*1 + sqrt(121) - sqrt(121) - sqrt(121)) + sqrt(121))*3)\/(sqrt(110)\/(sqrt(30)\/sqrt(3))))**2 + 0).\nAnswer: 7128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -70.5762257577 minus 33?\nAnswer: -103.5762257577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000001101 - 11110101?\nAnswer: 100011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -113*q. Let h(t) = -15*t**2 - 79*t**2 + 57*t**2. Determine g(h(w)).\nAnswer: 4181*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-70))\/((-56)\/140)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 205 and -0.2.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -23*m**3 + 12*m**2 + 6*m - 15. Let z(u) = 46*u**3 - 26*u**2 - 13*u + 30. Give -13*o(v) - 6*z(v).\nAnswer: 23*v**3 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.6359 microseconds to milliseconds.\nAnswer: 0.0576359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*q - 2 = -43*q. Suppose v + q = 14. Let m(n) = 2*n**3 - 9*n**2 + 4*n - 15. Let a be m(6). Calculate the highest common factor of a and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z - 1. Let r be p(-2). Let y be ((-4)\/2)\/(r\/(-6)). What is the greatest common factor of 1 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1474 (base 8) to base 3\nAnswer: 1010200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-15\/2)\/p)\/(p*p*(((p*p**33*p)\/p*p)\/p)\/p*p))**(-2\/177) assuming p is positive.\nAnswer: p**(29\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -26\/3*b**4 - 162 + 43\/3*b**3 - 23\/3*b**2 + 5\/3*b + 16\/15*b**5. Factor j(z).\nAnswer: (z - 5)*(z - 1)*(4*z - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 310, 677, 1044, 1411, 1778, 2145?\nAnswer: 2512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1090000 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119330.\nAnswer: 2, 5, 11933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 4:33 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w - 7. Let b be (9\/(-2))\/((-6)\/(-8)). Let z(g) = -9*g + 13. Let a(u) = b*z(u) - 13*m(u). List the prime factors of a(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90300*34.9\nAnswer: -3151470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/4*(-7)\/(-2). Let w be (-4)\/l - (-18)\/(-14). Calculate the common denominator of (87\/(-42))\/(w\/(-3)) and -19\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - -1. Let q(o) = -o**2 + 13*o - 8. Let a be q(v). Let k = a - 13. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - a + 1. Let j(v) = -v**2 - 3*v + 1. Suppose -3*l = -4*k - 4313, -2*l + 1429 = -l + 3*k. Suppose -p + l = 1440. Give p*y(r) + 2*j(r).\nAnswer: 3*r**2 - r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 84*m**3 + 21*m + 21. Let l(w) = 35*w**2 - 108*w - 12. Let d be l(3). Let o(a) = 17*a**3 + 4*a + 4. What is d*o(p) + 4*c(p)?\nAnswer: -21*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*h + 4*h + 0*h)*(78*h**3 - 45*h**3 - 41*h**3) + 0*h**3 + 0*h**3 - 2*h**4)*(-1 + 1 + 2*h).\nAnswer: -36*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259681.\nAnswer: 259681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 371 - 370. Solve z = -2*p - o, -z - 2*z = 4*p - 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -3*s**3\/2 - 1005*s**2\/2 + 59949*s - 231660 = 0.\nAnswer: -429, 4, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v + 13*v = -986. Let z(n) = 2*n**2 + 3*n - 4. Let m(c) = -11*c**2 - 18*c + 23. Calculate v*z(d) - 6*m(d).\nAnswer: -2*d**2 + 6*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14741 is divided by 292.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2899, 9172, 19649, 34348, 53287, 76484?\n\"Answer: 3*y**3 + 2084*y**2 + 812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 55, 120, 211, 328, 471, 640?\nAnswer: 835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18610?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u + 1698644*u**2 + 6*u - 1698647*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 - 3*r - 2. Let v be i(-3). Let z = -3 - v. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 3:18 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 0.042.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 10:57 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1084997666?\nAnswer: 2, 542498833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 135252752 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4066, -8110, -12120, -16078, -19966, -23766?\n\"Answer: 3*k**3 - k**2 - 4062*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.3460193 to two dps.\nAnswer: -9.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -6*s + 5. Let v(y) = 5*y - 6. Let f(i) = 4*a(i) + 3*v(i). Let t be f(4). Let m = -21 - t. Calculate the smallest common multiple of m and 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31 and 3370354.\nAnswer: -104480974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191 + 9*v + 191.\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10152*l**5 - 11*l**4 - 5*l**3 - 21620457*l**2 wrt l.\nAnswer: 609120*l**2 - 264*l - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 121, -0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -154791, -154785, -154773, -154755?\nAnswer: -154731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*y - 25 = 3*c, 0 = 2*y - c - 11. Suppose -2*x + 2*f = -12, y*x + 3*f - 5 = 19. What is the remainder when 16 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 33*j - 248. Calculate the remainder when 63 is divided by a(40).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(17 - 7)*(-6)\/2. Suppose s - 241 = w, -s + 97 = -d*w - 148. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + h + 3)*(-224 + 617 + 348 + 222).\nAnswer: 963*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 286*h - 288*h + 5, -5*h + 23 = -o for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117423 + 21383 = -392*b. What is the remainder when b is divided by 144?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 157446731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -2*z**2 - 13*z + 1. Suppose 5*t = 5*x + 7 - 17, 4*t + 5*x - 37 = 0. What is the remainder when q(-4) is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 - 7*n - 6. Let l(k) = -2*k**2 - 8*k - 7. Calculate -5*l(d) + 6*r(d).\nAnswer: -2*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 850775.975 rounded to the nearest 1000?\nAnswer: 851000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -110025 (base 7) to base 14\nAnswer: -7015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 11, c: 4, u: 1, v: 1, z: 1, x: 1}. Give prob of picking 1 x and 1 a.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7 + 3)*(-1)\/2. Suppose 3*x + 0*z = i*z - 75, 50 = -2*x + 2*z. Let k = 63 + x. List the prime factors of k.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 46960, 187901, 422816, 751705, 1174568?\n\"Answer: 46987*o**2 - 20*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -4*r + 192, -4*r + 371*i + 144 = 369*i. Find h such that 63\/2*h - 3\/2*h**2 - r = 0.\nAnswer: 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -638 - -691 - (3 - -18).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5582 - 5576. Solve 12 = 4*w - 3*q, a = 2*w - 10*q + 6*q for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 11*y - 34. Let i be p(6). What is the third smallest value in -2, -1\/5, 4, i?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbs when three letters picked without replacement from {z: 4, b: 6, s: 3}.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3911 and -15047949.\nAnswer: -15051860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 274512837?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3161143c + -4?\nAnswer: 31611438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 235 divide 82955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r - 16. Determine s(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 53022 - -9?\nAnswer: 53031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/3948456 and 105\/1058.\nAnswer: 3948456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2273 - -2273.2. What is the biggest value in x, -2\/47, -5, -62?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.027916ml in litres?\nAnswer: 0.003027916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**5\/4 + 2*h**2 + 6*h. Find the first derivative of n(d) wrt d.\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -51126, -102247, -153368, -204489?\n\"Answer: -51121*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40501104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 33 = 3*n. What is the remainder when 44 is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/9*(-6)\/1. Let h be (-1 + d)\/((-1)\/(-11)). Is (6\/(-2) + 4)*h a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 296 - 19f0?\nAnswer: -175a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*v + 7, -14*s = -13*s - 5*v + 13. Let l(z) = -5*z + 5. Determine l(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 0.84 in decreasing order.\nAnswer: 5, 0.84, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 4*c - 16, 6*n - 2*c - 8 = n. What are the prime factors of ((-22)\/(-33))\/(2\/411 + n)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -285123*h + 1140490. Calculate n(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 293 + 715. Let q(n) = -n + 539. Let m be q(0). Let w = m + s. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140 and 103852.\nAnswer: 519260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 151501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -7*i + 34. What is q(-3)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -51f91 + 4?\nAnswer: -51f8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 2443055409?\nAnswer: 2443055409.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -42733 divided by 6583?\nAnswer: -42733\/6583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h - 2*h - 17*h + h in the form k + w*h and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70422.75 millennia to months.\nAnswer: 845073000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1400) - (sqrt(1400) - -1*sqrt(1400))) + sqrt(1400)*-1)\/((sqrt(56) - (sqrt(56) + -1*sqrt(56)*-1 + sqrt(56)))\/(sqrt(448)*1)).\nAnswer: 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -2374?\nAnswer: -2367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 153 (base 9) to base 7.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 74202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - -0.12. Let v = p + -7.02. Let t = v + 7. Which is the third biggest value? (a) -0.3 (b) t (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -12 - 2*z + 12*z - 15 - 6 - 9*z. Calculate y(16).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-3 + -1 - 0) + (78 - -34 - 66).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + h - 2*h + 120, -2*m - 5*h = 120. Let z = -10576 - -42235\/4. Find the common denominator of m\/(-4)*(-58)\/(-36) and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1995*d*o**3 - 2219*d*o - 4*o**2 wrt o.\nAnswer: -11970*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 8*j**3 - 169*j**2 + 2*j + 104. Is y(27) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - o - 17 = 0, -8721*o = -14*x - 8725*o + 64 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 4588453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -40 divided by 13\nAnswer: -40\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(36\/21)*1650\/(-231). Solve 5*f - b = 0, -5*x = 5*f - 0*f - 40 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(288) + 2)**2 + ((-5 + (sqrt(2) - sqrt(4)\/sqrt(2)))**2 - ((sqrt(2) + -1)*3)**2).\nAnswer: 186*sqrt(2) + 335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-19))\/(2821\/(-4123))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 290.73 minus 3775?\nAnswer: -3484.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -440, -441, -442, -443, -444?\nAnswer: -445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + (sqrt(343) + 1 + sqrt(343))*4*3 + (sqrt(343) + (1 + sqrt(343) + sqrt(343) + -4 - sqrt(343)))*6)**2.\nAnswer: -2222885 + 17640*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - x - 9 = 2*x, 26708*x = -3*n + 26707*x + 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1265483719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1800\/135*(-6)\/(-16)*53\/(-5)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/21)\/(6\/(-21)). Which is greater: t or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 70.1338 and -9.5147.\nAnswer: 60.6191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/117 and -23\/4794.\nAnswer: 186966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 l when two letters picked without replacement from lzllllllulllii.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -2. Let x(q) = 3*q**2 - 3*q - 1. Let t be x(-2). Let v = -9 + t. What is the lowest common multiple of d and v?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*n**3*w**4 + 7405*n**3*w**2 - 4*n**3 - 2*n**2 + 314*n*w + 2 wrt w.\nAnswer: -84*n**3*w**2 + 14810*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 57 + 844b47?\nAnswer: 844ba2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*r = -28*r + 160 + 47 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 2\/3*h**3 - 6*h + 0 - 3*h**2 - 23\/24*h**4. Let r(z) be the first derivative of s(z). What is the derivative of r(p) wrt p?\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 11:27 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -314 - -314.00464. What is q rounded to four decimal places?\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, n: 1, w: 1, e: 1, x: 1, m: 6}. Give prob of picking 1 w and 1 m.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29544 is divided by 123.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -193612?\nAnswer: -193608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -4*l**4\/3 + 92*l**3 - 5620*l**2\/3 + 9796*l - 38440\/3 = 0.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -51*u**3 + 11*u**2 - 11*u - 11. Let d(r) = -13*r**3 + 3*r**2 - 3*r - 3. Let n be (-95)\/5 + 0 - (-18 + 21). What is n*d(f) + 6*l(f)?\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 23*p - 40. Let w(s) = 380*s**2 + 1. Give a(w(d)).\nAnswer: 8740*d**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s - 1. Let z = -36 + 39. Let c(y) be the second derivative of 0 + y + 5\/6*y**z + y**2. Determine c(t) + 3*x(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 + 12. Suppose 0 = -9*u - 14*u + 874. What is the highest common factor of f and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5152 and 1127.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-85)\/(-20) - 4 - 0. What is the closest to 0 in q, -5, -2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-5) + 5\/(-25). Suppose 209 = 2*j + 5*a, 3*j + 0*a + a - 294 = h. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (2 + sqrt(17))*-6 + sqrt(17))*2 - ((1 + sqrt(272) - sqrt(119)\/(2*sqrt(7))) + -4)**2.\nAnswer: -925\/4 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5027.8, -0.4, 1.2, 13 in descending order.\nAnswer: 13, 3, 1.2, -0.4, -5027.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 158, -1, -3, -5 in decreasing order.\nAnswer: 158, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/10 < 11540422?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = i - 4*i + 3*s, s - 13 = 3*i. Let z be i\/14 + 3003\/49. Suppose -55*p + 108*p + 480 = 61*p. Which is bigger: z or p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146963 is divided by 18274?\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 2*c - 34, 0*a + a + 3*c = 5. Let n = 46 + -74. What is the units digit of a\/n + 2\/((-8)\/(-82))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/2 - (-2444)\/8. Let d = 305 - f. Solve d = -5*n - 5*s + 15, n + 3*s - 8 = s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + (1 + (sqrt(1584)*-1)**2 - (((sqrt(1584)*1 - sqrt(1584)) + 1)**2 - sqrt(1584)))).\nAnswer: -3176 - 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49445 is divided by 239.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 184*m**2 - 207*m - 207. Let y(u) = -11*u**2 + 12*u + 12. Let p(v) = -4*o(v) - 69*y(v). Let f(x) = 399*x. What is f(p(b))?\nAnswer: 9177*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/2*1860\/1674.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 58497792.\nAnswer: -1\/9749632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 200211?\nAnswer: 200221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -23559724281 minus -0.3?\nAnswer: -23559724280.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4*(-5)\/(-40) - (-4536)\/(-11352) and 21\/26.\nAnswer: 12298","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 152 by -15211.\nAnswer: -152\/15211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.01 (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 22*p**2 + 122*p - 3. Calculate o(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25 * -1.655.\nAnswer: -41.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55467 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 divided by -6951744.\nAnswer: 5\/434484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 3 - 1\/4*w**2 - 1\/6*w**3 + 0*w. Factor r(q).\nAnswer: -q*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.125 and -0.08.\nAnswer: -1.205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -68, -152, -264, -410, -596?\nAnswer: -828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*l + 2*i, 2*l + 10 - 2 = 4*i. Let d = -546.6 - -546.9. What is the nearest to 1\/2 in l, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11 (b) -655739 (c) -1\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 425 by 496.\nAnswer: 425\/496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 - 6*d + 2800.\nAnswer: -(d - 50)*(d + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1159*c - 3228*c - 2303*c - 259*c - 1448*c to the form x + v*c and give v.\nAnswer: -8397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 357382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0*z - 5*b = 3285, 5*b - 2455 = -3*z. Suppose 4*u - l + 0*l - z = 0, 3*l = 0. What is the common denominator of -57\/14 and (-3)\/30*u\/4?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v - 5*v**2 + v)*(v - 3*v + 3*v + (-2 + 5 - 5)*(2*v - v - 5*v)) as p + g*v + w*v**3 + t*v**2 and give w.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d - 2*d**3 + d - 3*d + 3*d**2 + 2 + 0*d in the form c*d + k*d**2 + v + s*d**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-48)*6)\/(249\/83)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**3\/6 - 72*x + 2. Let d(m) = -1176*m**2. Determine v(d(h)).\nAnswer: -1176*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 0.41, 2, 7 in decreasing order.\nAnswer: 7, 2, 0.41, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36720)\/(-4590))\/(-2*(-10)\/8)?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 105 + -54. Let x = -50 + p. Let s(o) = 7*o**3 - 2*o**2 + 2*o - 1. Let k be s(x). Solve -3*v - w = -10, k = -5*w + 2*w for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 67\/(-6) - -10 - 18\/(-135)*5. Let h be 17\/26 + (-1)\/2. Let w = -0.8 + -2.2. Which is the biggest value? (a) w (b) f (c) h (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 960 divided by -64?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 10*o. Let a(r) = -r**2 - 21*r. Let i(x) = -6*a(x) - 13*l(x). Find the second derivative of i(h) wrt h.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w**2 + 11*w + 13. Let s(u) = 3*u**2 + 12*u + 11. Calculate 4*m(i) - 5*s(i).\nAnswer: i**2 - 16*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169739920?\nAnswer: 2, 5, 7, 19, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*d**5 - d**4 - 8615589*d**2 + 25*d - 407531?\nAnswer: 80*d**3 - 12*d**2 - 17231178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -3*x**5\/40 - 9*x**4\/4 - 8*x**3 - 4374*x. Factor s(i).\nAnswer: -3*i*(i + 2)*(i + 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003948 to five decimal places.\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fmfh when four letters picked without replacement from mhhhhfhhhhmmmmfhm.\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 5*q - 15, 5*v + 4*q - 7 - 5 = 0. Solve v - 3 = x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*x + 5175 = -38*x. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 18 + -13 + 4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 23, 91, 289, 683, 1339, 2323, 3701?\n\"Answer: 11*s**3 - s**2 - 6*s + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.08312 nanometers?\nAnswer: 0.00008312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 - 194*s + 876. Let b be r(118). What is the highest common factor of 144 and b?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/3)\/(10\/(-15)). Let z(g) = -5*g + 1. Let x be z(q). Let y be (0 + (-3)\/(-6))*0\/(-5). Solve j - x*j = y for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/5094 and -83\/11886?\nAnswer: 35658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t**3 - 3*t**2 - 3*t + 3. Let g(f) = -92*f**3 - 68*f**2 - 68*f + 68. Determine 136*d(z) - 6*g(z).\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -a - 18, 4*a - 3*l - 90 = -188. Sort -1, a, -2, 0 in ascending order.\nAnswer: a, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7062 and 428.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {q: 2, z: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1892108 divided by 10?\nAnswer: 946054\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-7))\/(z*z**(1\/6))*z\/(z**(17\/5)\/z)*z**(-2\/57) assuming z is positive.\nAnswer: z**(3077\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 36 + -5 + 0 + -3 + -9\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, p: 8}. Give prob of sequence ppf.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 525 = 2*q + 5*t, -5*q - 13*t + 1297 = -16*t. Calculate the remainder when q is divided by 49.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*g + 35, -8*g = -4*m - 3*g - 5. Solve -17 - 12 = -4*u - m*r, -u - 3*r = -16 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75444743 to the nearest integer?\nAnswer: 8686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 215 + -200. Calculate the remainder when 44 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a kilometer in meters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -941, -2000, -3013, -3956, -4805, -5536, -6125, -6548?\n\"Answer: 4*d**3 - d**2 - 1084*d + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g = 4*g + 4, -5*f + g - 2*g = -3*g + 5*g - 381 for f.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 122126 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -48*q + 2635. Calculate v(46).\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d**2 - 26 + 25 - 2*d - 2*d + 0*d**2. What is the tens digit of n(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -117756175853821\/238 + 494769950981. Let p = v + 3897029. Let h = 2090\/17 + p. Calculate the common denominator of h and 43\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 1609*v**4\/12 + 1347*v**2\/2 + 21*v + 4. Find the first derivative of t(g) wrt g.\nAnswer: 3218*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -187.043 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 8 - 12)*(-2 + 0 + 1)*(o - 5 + 5)*(-5646379*o + 3942 + 5646379*o - o**2) as z + w*o**2 + a*o + l*o**3 and give a.\nAnswer: 51246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 + 1019937*i - 1019940.\nAnswer: 3*(i - 1)*(i + 339980)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*220.037.\nAnswer: -440.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161 + 47*u**2 + 299 + 19 - 157.\nAnswer: 47*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h - 14*h + 10*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6236.9 - -0.09803.\nAnswer: -6236.80197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -64553*j**6 - 4*j**2 + 237*j - 21 wrt j?\nAnswer: -7746360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 97548 divided by -14292\nAnswer: -8129\/1191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3592.5 + 3592. What is the closest to 0 in q, 0, -23, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102036551 by 3.\nAnswer: -102036551\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -28*0.03\nAnswer: -0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 6*h**2 + 6*h**2 + 3*h**2. Let z(p) be the first derivative of -4*p**3\/3 - 22. Give z(u(d)).\nAnswer: -64*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 0*l - 2*l)*(-9171 + 9171 - 1021*l**2)*(-l**2 + 5*l**2 - 3*l**2).\nAnswer: 3063*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 428731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 193819 and 179759?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (318*f**4 + 85*f**4 + 374*f**4)*(-8*f - 4*f + 3*f).\nAnswer: -6993*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 7. What is the remainder when ((-16)\/12)\/((-11)\/9 + 1) is divided by y(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(2160) - (1*sqrt(2160)*6 + sqrt(2160))))\/((sqrt(120) + (sqrt(120) + (sqrt(120) - 1*sqrt(120)))*-6)\/(sqrt(10) - sqrt(240)\/sqrt(6))).\nAnswer: -216*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 291785111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230 = 7*b - 2*b. Suppose b = -12*v - 98. Let w be (-3)\/18*-4 + (-28)\/v. Solve w*h + 0*h + p - 7 = 0, 2*h = 5*p + 16 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 3*a - 5. Let p be s(4). Let f = -2 - p. Let r(q) = 7*q. Give r(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/30*(-15)\/12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 3:43 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 - 17. Is h - (-1)\/(2\/(-2)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + (65 - (-15 - -13)) + -13.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) + 3 + sqrt(153) + (sqrt(153) - 6*sqrt(153)) + sqrt(153) + 4 + -1)*-3 + 1)*-1)**2.\nAnswer: -612*sqrt(17) + 5797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 + 1 + -5 + (-21 - -28).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 17*x - 81. Let n be o(17). Suppose -2 - 34 = -2*a - m, 3*m = 0. Let g be ((-4)\/(-6))\/(a\/n). What is the smallest value in g, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 2\/13, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*f - 648 = 600 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -51*z**2\/2 - 35*z - 55. Is k(-22) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.2, -26, 0.1 in increasing order.\nAnswer: -26, -1, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201525 is divided by 2036?\nAnswer: 1997","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1236545768 to the power of 1\/2, to the nearest integer?\nAnswer: 35165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4*b - 28, -4 = -4*t - 20. Sort 0.35, 0.02, b, -2.\nAnswer: -2, 0.02, 0.35, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) -2\/18505 (c) -1\/3 (d) 3\/253\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -18. Suppose -44 - 16 = -c*m. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 159849.159 + -158665.8. Let f = -1184 + n. Let q = f + 0.56. What is q rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 775086?\nAnswer: 2, 3, 13, 19, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(5040) - sqrt(5040))\/(sqrt(252) + -2*sqrt(252) + sqrt(252) - sqrt(7)) - 5*(-5 + sqrt(405)*2))**2*4.\nAnswer: -18000*sqrt(5) + 164500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1805, 7093, 15925, 28301?\n\"Answer: 1772*n**2 - 28*n + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 21*d + 49. Let u be x(19). Solve 16*n = u*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, -1, 2\/3, 1.01 in increasing order.\nAnswer: -1, 2\/3, 1.01, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -3163*r**4\/12 + 4993*r**2\/2 - 2132*r + 2. Find the first derivative of y(p) wrt p.\nAnswer: -6326*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 18*g + 20. Let u be n(-19). Let k be 0 + 0\/(2\/(-2)). Let s = -16\/3 + 5. Which is the nearest to u? (a) s (b) k (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h - 2. Let b be s(7). Suppose -6*x = -x + 5*i - 10, -b*x = -i - 22. Let u(y) = 4*y - 5. Give u(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 269 divide 126968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and -1529303 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.760991 rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4833 and 1330992?\nAnswer: 238247568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 57*t**2 - 111*t + 111*t + (-5*t + 2*t - t)*(-t + 3*t - 3*t).\nAnswer: 61*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 - (-37 - -5 - -15 - 1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = h + 61, -5*g - h + 51 = -98. Suppose -121*r + 119*r = -12. What is the greatest common factor of g and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4840975 litres in millilitres?\nAnswer: 484.0975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -209 + 1673\/8. What is the second biggest value in h, 1, -4\/9, -1\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -5*h**7\/399 + 4*h**6\/95 + 11*h**5\/190 - 23*h**4\/57 + 12*h**3\/19 - 8*h**2\/19 - 75*h. Find q such that f(q) = 0.\nAnswer: -2, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, -0.4, 1003, 2, -1, -3\/4?\nAnswer: 1003","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (-340)\/(-35))*(-33)\/(-44)*56?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5432 and 664.\nAnswer: 450856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 56926 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 908.4050126 + -908.542. Let g = -0.137 - f. Round g to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 173836*x**2 + 44*x + 144. Let p be j(38). What is p rounded to the nearest one million?\nAnswer: 251000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + r - 72. Let w be o(0). Calculate the common denominator of 2\/9 + 1834\/w and (-2)\/9 + 1198\/288.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81 and 6723?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -751*m = 504*m - 42*m + 58224 for m.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 360 and 480?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 362, -1\/3, -5, -5.8 in descending order.\nAnswer: 362, -1\/3, -5, -5.8, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/158428033 and -79\/362?\nAnswer: 316856066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(7\/2)*t**(-1\/2) assuming t is positive.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2 - 5*x + 1. Let s be 3\/(-15) + 138\/(-10). Let a(c) = -c + 1. Let h be a(7). Let l be s\/3 + (-4)\/h. Give z(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*a**3 - 3 + 5 + 34*a**3 wrt a?\nAnswer: 111*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7243 - 7181. Suppose -3*s + 2*s = 55. Let y = h + s. What is the smallest common multiple of 3 and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3590777*n**3*u**4 - n**3*u**2 + 4903*n**3*u - 5*n**3 - 171 wrt u.\nAnswer: 43089324*n**3*u**2 - 2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 165102 or 165101?\nAnswer: 165101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5515407 plus 272941?\nAnswer: -5242466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 1014224?\nAnswer: -1014234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**2 + 2*l**2 - 3*l**2. Let f(z) = 32650556 + 9*z - z**2 - 32650556. Determine f(t(o)).\nAnswer: -4*o**4 + 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6265, 6229, 6169, 6085, 5977, 5845, 5689?\n\"Answer: -12*o**2 + 6277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1632 in 0.5, -64, -0.2?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1272, -2704, -4128, -5544, -6952?\nAnswer: -8352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**3\/6 - 187*g**2\/6 + 365*g\/2 - 543\/2 = 0. Calculate g.\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t. Suppose -4*g + l + 8 = 0, g - 2*l = 4 - 2. Let c(z) = -z - z - z - g*z. What is c(y(q))?\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 9) to base 15.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(6 - 0)*(-4)\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5862071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101150878?\nAnswer: 2, 43, 1176173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 343691800 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v = -0*v + 570. Suppose 16 + 60 = v*o. What is the biggest value in 1\/2, -0.03, o, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 6 = -26, 4*c + 4 = -2*h for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**4 + 2*q**4 - 2*q**4 + (-q**4 + 6*q**4 - q**4)*(4 - 1 - 4) + q**4 + q**2 + 0*q**2 - 3*q**4.\nAnswer: -8*q**4 + q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 647, 648, 649, 650, 651, 652?\n\"Answer: c + 646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.45 times 373.3?\nAnswer: -11740.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*j = 160. Let p(c) = -58*c - 211. What is the remainder when j is divided by p(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 49 (b) -0.3 (c) -5 (d) 6 (e) 5 (f) 34\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*x + 35 = x, 0 = -4*x - 20. Which is smaller: -16 or r?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 8.844798 years?\nAnswer: 0.008844798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**2\/7 - 760*y - 5318\/7 = 0.\nAnswer: -2659, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/(-5) + 3 + (-2664)\/(-30). Suppose -83*t + b*t - 2592 = 0. Is 14 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0981262ng to kilograms.\nAnswer: 0.0000000000000981262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*d**2 - 39*d**2 + 92*d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 223*a + 869. Give s(-7).\nAnswer: -692","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4 - 2*p + 4 - 3 + 3*p - 2. Let r(m) = 2*m + 7. Calculate 3*r(i) - 7*z(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*b - 9 - b**3 + 9 to the form d*b**2 + g*b**3 + f + l*b and give l.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(22) - sqrt(88)\/sqrt(4)*1 - (sqrt(176) + (sqrt(176) - (sqrt(176) - sqrt(176)*-1)))\/sqrt(8))\/((sqrt(99) - 5*sqrt(99))\/sqrt(9)*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5*c**2 - 4*c. Let f(y) = -7*y**2 + 3*y. Let s(i) = 4*i**2 - 2*i. Let l(h) = -3*f(h) - 5*s(h). Calculate -4*l(n) - m(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48 and 31\/329213.\nAnswer: 329213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89 + -101. Let x be (4 - j)*(-3)\/(-6). Let w(f) = -f**3 + 9*f**2 - 9*f - 2. Determine w(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 31*n. Let q(p) = 2170*p. Let l(f) = -4*q(f) + 279*u(f). Let o be l(-3). Is o\/9*(7 - 4) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 499791?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 6875710.911 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*v**4 - 19668*v**2 + 594773*v + 1?\nAnswer: -396*v**2 - 39336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t. Let d(p) be the third derivative of -p**4\/6 - 2*p**3\/3 - 597*p**2. Determine d(x) - 3*f(x).\nAnswer: -x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**4 - g**2 + 64*g**3 - 63*g**3 - 58*g**3 to the form b*g + u*g**2 + m*g**3 + t + k*g**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwwawannwwwaa. Give prob of picking 1 w, 1 a, and 1 n.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 47, -7, 666?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22222 - -112101?\nAnswer: 212100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 44\/7 + (-62)\/217. Suppose t*x - 719 = 871. Calculate the highest common factor of x and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -323055?\nAnswer: -323053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 4. Suppose -2*r + f + 10 = 0. Find the second derivative of 4*a**5 - a - a**5 - a**r wrt a.\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18484177 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -515, -3, -2, 4, 1 in ascending order.\nAnswer: -515, -3, -2, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 390282*m**5 + 47608*m + 3 wrt m.\nAnswer: 7805640*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -132*x**3 + 3*x**2 - 2*x. Let s be k(1). List the prime factors of (1 - s) + 77 + -75.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3485987 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50665063?\nAnswer: 613, 82651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - -10. Let n be (12\/(-30))\/(2\/i). Let y(o) = o**3 + 5*o**2 + 2*o - 1. What is y(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**3 + 10*t**2 + 12*t - 55. Let s(c) = -29*c**3 - 56*c**2 + 8*c + 13. Let u be s(-2). Give a(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23021 (base 4) to base 2\nAnswer: 1011001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4 = -6. Let q be g\/(-3)*(-3)\/(-6). Let y = -7 + 7.1. Which is the biggest value? (a) y (b) 2\/15 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 times -118.57\nAnswer: 9.4856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1305, -2\/11, -0.5, -85\/226, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*q**2 - 2*q**2 + 11*q + 2*q**4 + 5*q - 1 - 15*q in the form u*q + c*q**2 + a + k*q**4 + h*q**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1403 - 1403.3. What is the closest to 0 in -0.6, 0.2, -1.1, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4522447 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(153) - (sqrt(153) - (-3 + sqrt(153) + sqrt(153))*-1)**2) + -1).\nAnswer: -2774 + 114*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 + 24 = 3*f - 3*x, 3*x = 5*f - 168. Let i = -19 + f. Suppose -3*b = 2*b + 2*o - 27, -2*o - 8 = -2*b. Solve 31 = 3*k + 5*t, -11 = -b*t + i for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.2, -277787, -3 in descending order.\nAnswer: 1.2, -3, -277787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/72 - 704\/9. Let q be n\/(-6) - (-2)\/2. Suppose -3*y + 4*y = q. What is the smallest common multiple of 20 and y?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-14\/9)*x**(6\/11))**(-2\/5))**(-17))**(2\/11) assuming x is positive.\nAnswer: x**(-1360\/1089)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*r - 20*r = 137066. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2 - 3*q - 8. Let j(m) = m**2 + m + 3. Let f = 24 + -12. Suppose -n = -3*b - 4*n + f, -4*b = -2*n - 10. Give b*a(o) + 8*j(o).\nAnswer: 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 5, 23 = 2*c - 4*i + i. Let n(w) = -3*w. Let s(g) = -8*g + 1. Let q(f) = -11*n(f) + 4*s(f). Give q(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -15. Let j(z) = -2*z**2 - 6*z - 7. Let u be j(-5). Let w = -11 - u. What is the smallest common multiple of f and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/(-100) - 10584\/(-80). Suppose 0 = -4*x + 2*x + 4. Suppose 0 = -x*m - m + 36. Calculate the highest common factor of m and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + (-32 - -6) + (5 - -9).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gglggglllg. What is prob of picking 2 l?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 688.29 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 293, 581, 869?\nAnswer: 1157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from efeftffetefff. Give prob of picking 1 t and 3 f.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 34*a**2 - 247*a + 304. Calculate p(6).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 936, 935, 934, 933, 932?\nAnswer: 931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 176, 1, 3, -171 in descending order.\nAnswer: 176, 3, 1, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -4*r - 3*r. Let l(f) = -2929*f + 2929*f - r*f**2. Let i(p) = 0*p + 0*p + p**2. Give i(l(o)).\nAnswer: 81*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -7*v - 7. What is u(-8)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 3*p - 2*p - 27, 0 = 2*l - 2*p + 2. Is l at least -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1200 (base 4) to base 14.\nAnswer: 6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200 + -2010?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002922284 rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/2, 38\/7, -0.3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73284505*h**2 - 81*h**3 + 73284505*h**2.\nAnswer: -81*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 27 = 18. Suppose -3*q = -3*x - 6, 3*x + 0*x + b = 4*q. Find the first derivative of x - 1 - 1 + 0 - 14*w wrt w.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179*t**3 - 81*t**3 - 81*t**3 - 31*t**3.\nAnswer: -14*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -331\/5 + 66. Let p = 9.6 + -4.6. Sort 1, p, n.\nAnswer: n, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (3 + -7 + 1 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -14. Let f be (r + 0)*-2*-1. Suppose -f*u - u = -18. Let m(g) = g**2 - 7*g + 1. Give m(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1131708 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1160*t - 1158*t + 182. Suppose -f + 3 - 46 = 0. Let a = f - t. What is the highest common factor of a and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1586 + 5?\nAnswer: 1602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/4)\/s*s**(3\/5)\/s*s*(s\/(s\/s**(1\/3))*s)\/(s*s**(-3)))**(5\/7) assuming s is positive.\nAnswer: s**(23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 0*t + 2*t)*(t + 1 - 1) - 10*t**2 + 2*t**2 - t**2 + (-5*t + t + 5*t)*(2105 - 2105 + 17*t).\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 12:43 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1031*s - 565*s - 588*s.\nAnswer: -122*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24306?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1128224 + 0.3.\nAnswer: 1128224.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + sqrt(35) + (sqrt(35) - (sqrt(35)*-2*4 + sqrt(35))))\/(sqrt(42)\/(sqrt(6) - (sqrt(96) - sqrt(6)) - sqrt(6))).\nAnswer: -30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1665)\/3 + (-10)\/(-2). Let k be 2\/(-12) + d\/(-132). Solve 0 = -5*w - 4*m + 11, 9 = k*w + 5*m - 2*m for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -67*s**3 - s**2 + s + 1. Let h be j(-1). Let d = -34 + h. What is the greatest common factor of d and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 4:36 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five quarters of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 224907 to the power of 1\/2, to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t + 8*t = -105 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 784 + -363. Let i = 428 - o. Are -8 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 5:53 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -47*n**3 + n + 2. Is 4 a factor of b(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -362 - 408 = -1358*g + 1413*g for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*(sqrt(1088) + (sqrt(1088) - (-2 + sqrt(1088)))))**2.\nAnswer: -32*sqrt(17) + 4353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168 and 6816?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 90039*d*w**3 - 55*d*w**2 + 300*w**2 wrt w?\nAnswer: 540234*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k + 70. Let i be n(35). Suppose i = -27*u + 6*u + 1806. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pysy when four letters picked without replacement from ppypysppypsppyypgs?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 9:09 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10713 - 10709. Let p(o) = 5*o - 27. Calculate p(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.89 times 1.90815?\nAnswer: 9.3308535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 3*v. Let c be (v + -13)\/((-1)\/(-1)). Let w = c - -25. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 91 + -65. Suppose x - c = 4*c - u, 15 = 3*c. What is the lowest common multiple of x - (-18 + 1 + -2) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 3*i - 4. Let t(f) = 3*f + 2 - 4*f + 2*f + 2*f**2 - i*f + f**3. Calculate t(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4792 + 16048 = 58*o + 946. Calculate the least common multiple of 392 and o.\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1153552\/21, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-9310)\/(-147)*11\/((-550)\/30)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - v - 2. Is (7\/v)\/(2\/68) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**4 + 8*a**4 + 12*a - 3*a**4 - 16*a**3 + 8*a**2 - 11*a**4 + 4*a**5 = 0. Calculate a.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -5*u - 25. Let d(h) be the first derivative of -h**4\/4 + 5*h**3\/3 - h + 2. Let f be d(u). Are f and -1 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1\/436 (b) -0.5 (c) -11 (d) -3 (e) -0.41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 take away -10067?\nAnswer: 10068.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 50243 - 640?\nAnswer: 47403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 4*z**2 + 5*z + 7. Let i be (482\/(-9))\/2 + (-4)\/18. Let p(y) = -y**3 - 29*y**2 - 53*y + 22. Let x be p(i). What is s(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.96 - -1027\nAnswer: 1024.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + 9*h - 6*h - 26, -5*h + 50 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = t - 5. Let u be (2\/(-7))\/(6\/t). Let b = 46 + -42. Sort b, u, -2.\nAnswer: -2, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*v - 8. Suppose -4*c + 22 = -6*c. Let i = -5 - c. Solve 1 = -v*f + i for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, e: 3, q: 3}. Give prob of sequence ql.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - 9 - (-14)\/5. Which is the nearest to -1\/11? (a) -4 (b) -5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -75357 and -25.811906?\nAnswer: 75331.188094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwwf when four letters picked without replacement from wwffw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(32)\/(sqrt(4) - (sqrt(4) - sqrt(4)*2)))\/((sqrt(32)*-1)\/sqrt(8) - sqrt(4)) - ((sqrt(2) + -3)*1 + sqrt(8)\/sqrt(4)*-1)) + -2)**2.\nAnswer: -sqrt(2)\/2 + 9\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51606 and 893.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*s - 5 = 41 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(2736) + 5 + 2*sqrt(2736) - sqrt(2736) - sqrt(2736))*-3 + (0 + sqrt(2736))*-2*-1)**2*-1.\nAnswer: -2966 - 360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjkjjjkkjkk. Give prob of sequence jk.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 93838 times 0.254?\nAnswer: 23834.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k + 2. Let j(r) = -18*r + 13. Let x(h) = 6*j(h) - 39*t(h). Let a(n) = -37*n + 4*n + 13*n + 20*n + 2*n**2. Determine a(x(p)).\nAnswer: 162*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1109700 is divided by 184?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13386 + -13379. Solve -67*n = -65*n - 8, -c + d = 3*n for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -176, -6, 5, -5, 1, -3 in ascending order.\nAnswer: -176, -6, -5, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**5\/7 - 45*i**4\/7 - 243*i**3\/7 + 4549*i**2\/7 + 4200*i + 6300 = 0 for i.\nAnswer: -35, -14, -3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 197 + -593\/3. What is the nearest to l in 0.19, -0.3, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 15, 38, 71, 114, 167, 230?\nAnswer: 303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 + -59. Let f = -14777.4 - -14777. Which is the closest to -2\/9? (a) -0.1 (b) f (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23099 is divided by 111?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*b + 157*b = 1787292. Is 57 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 133 = 3*z, -z + 3*l + 51 = -0*z. Suppose 11*g + 17 = z. Solve 6*v - g*v = -16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 4*x**5 + 4*x**4 - 8*x**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 788*w - 787*w + u, -w - 9 = -5*u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*l**4 - 60*l**3 + 15*l**2 + 10*l.\nAnswer: 5*l*(l - 1)**2*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1cd8 (base 14) to base 2.\nAnswer: -1010010100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.109997 + 0.11. What is c rounded to seven decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*v - 25. Suppose -4*w = -n - 5, 0*w - 3*w - v = 4*n. Let t be (-7)\/35 - (-9)\/(-5). Which is bigger: w or t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**4 + 0 + 0)*(-o - o - 2*o).\nAnswer: -4*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -y**3\/3 - 3*y**2\/2 + 182*y + 4. Is 5 a factor of l(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130142 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -f**4\/4 + f**3\/6 - 4*f**2 - 10. Let o(n) be the second derivative of t(n). Give o(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -h**8\/560 + h**4\/12 - h**3\/2 - 6*h. Let t(p) be the second derivative of x(p). Find the first derivative of t(u) wrt u.\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -669*f = -667*f + 4*o + 22, -5*f + 15*o - 3*o - 11 = 0 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2525*l - 93*l - 344*l.\nAnswer: -2962*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2118, -2122, -2128, -2136, -2146, -2158?\n\"Answer: -o**2 - o - 2116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73 - 72. Put w, 5, -28 in descending order.\nAnswer: 5, w, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-57)\/38)\/((-3)\/(-4)))\/(328\/(-1148)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -5*k**3 + 2*k**2 - 8. Let y(n) = 5*n**3 - n**2 + 8. Determine 5*w(s) + 4*y(s).\nAnswer: -5*s**3 + 6*s**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(1820\/460)*-7.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -17881 (base 10) in base 16?\nAnswer: -45d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 4, -1 in descending order.\nAnswer: 4, -1, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21286, 21282, 21274, 21262?\nAnswer: 21246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -18833390, -37666786, -56500194, -75333620, -94167070, -113000550, -131834066, -150667624?\n\"Answer: -q**3 - 18833389*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - r + 194 = 193, -k + 4*r - 4 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*u + 8, -4*s + 21 = -5*u + 1. Let q = 873 - 875. Is (q\/4 - s)\/(3\/(-8826)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a factor of 32140350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 51\/15 - 4\/10. Let j be (4*3)\/(w\/32*-2). What is the units digit of j\/(0 + 4 + -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.6 - -6. Let s = -1.2 + 1. Let w = -0.85 - -4.85. Which is the closest to -2\/7? (a) k (b) s (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23.74938 - 0.06138. Let t = o + -23.5. Round t to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (252\/(-32))\/7 + 0 + 1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(520)\/(sqrt(50)\/sqrt(5)))\/(sqrt(4)*-2*-6).\nAnswer: sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24562818*d**5*k + 7*d**2*k - 266*d**2 + 4*d*k + 8*d - k wrt d.\nAnswer: 1473769080*d**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from upjppysp. Give prob of sequence pj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.5 - -1.5. Let k = g + 7. Let p = 6 + -5. Which is the biggest value? (a) p (b) k (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -65*k**4\/12 - 35*k**3\/2 - 20*k**2 + 69*k. Factor l(i).\nAnswer: -5*(i + 1)*(13*i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63 - -65)*(-4)\/(-6)*-6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2*n + 378, c = n + 2*c - 191. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -47.864 in -549, 2\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 28\/5 (b) 0.2 (c) -0.2 (d) 35 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*r**2 + 196521 - 193604 - 5*r**2)*(9 - 4*r - 4 - 3)*(-1 - 2 + 2) to a*r**2 + v*r**3 + s + f*r and give f.\nAnswer: 11668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3200*f*n**2 - 458*f*n - 842986*n**2 + 1 wrt f?\nAnswer: 3200*n**2 - 458*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 - 86*k**2 - 468*k - 576.\nAnswer: 2*(k - 48)*(k + 2)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 5*u - 11, -5*b + 4*u + 16 = -15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 20*n - 24. Let m(i) = -2. Give f(s) - 4*m(s).\nAnswer: 20*s - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 18*f**3 - 7*f**2 - 16*f + 7. Let k(u) = -19*u**3 + 6*u**2 + 15*u - 6. Let v(c) = -7*k(c) - 6*s(c). Find the second derivative of v(x) wrt x.\nAnswer: 150*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 246612 and 252?\nAnswer: 5178852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 99212.79 micrometers in kilometers?\nAnswer: 0.00009921279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*d - 2421 + 2241 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 439, 444, 449, 454, 459?\n\"Answer: 5*x + 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7482349 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1222824 is divided by 61124.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -7?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/3, 1\/6, 5\/7, 0.5.\nAnswer: -1\/3, 1\/6, 0.5, 5\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 9335?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-12)\/(-8))\/((-6)\/(-832)).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 2. Let h = u + -4.7. Let l = h + -2.3. Which is the closest to -0.1? (a) -3 (b) l (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 5:00 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -244029 less than -244025?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 55*q**2 + 43*q + 540. Is b(41) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 288, 580, 878, 1182?\n\"Answer: 3*c**2 + 283*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 806?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 6:03 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 6*w - 3. Suppose 3*k + 424 = 2*g + 2*k, -1066 = -5*g + k. Let b = g - 218. Calculate v(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**3 - 3*j**3 + j**3 + 7*j**3 - j**3.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13294 + 14247. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1342530 - 0?\nAnswer: -1342530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/12047 and 14\/70561.\nAnswer: 493927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 118*p**2 - 3055*p + 10421. Calculate y(-76).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - z**2 - 3)*(-2 - 13*z + 18*z + 0) - 236*z**2 + 236*z**2 - 47*z**3.\nAnswer: -52*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -339971, -340019, -340067, -340115, -340163, -340211?\nAnswer: -340259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dhdddddh. Give prob of picking 1 h and 3 d.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, 2.9, 100\/7, 0.1, -26 in descending order.\nAnswer: 100\/7, 2.9, 2\/17, 0.1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*w - 1. Suppose -5*f + 2*p + w*p = -5, 3 = 3*f + 4*p. Solve -c + s = -1, 4*c + f = 2*s - 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.9 + 5.3. Let z = r - -0.6. Which is the closest to -1\/5? (a) 2\/7 (b) z (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*y - 60 + 55 + y as i*y + d and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 0 + 51 + 2*g - 2 - 11*g + 6. Give q(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 152312, 303896, 455480, 607064?\n\"Answer: 151584*p + 728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60212 is divided by 7484?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.73609 - -0.06991. Round w to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14246.\nAnswer: 2, 17, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*y + 7*y - 896*y**2 + 2 + 5*y + 42*y in the form c*y + u*y**2 + a and give u.\nAnswer: -896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 495*z = -497*z + 4, j - 2*z - 16 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -185 + 8. Let m = 176.99823 + d. What is m rounded to four decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1560 + -1556. Let k = -5.3 + 5. Let y be 2*(0 + 1 + -3). What is the second smallest value in c, k, y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xyyyxyw. Give prob of sequence xyyy.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -64.66, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-21)\/3 + 6 + (-5098)\/(-1).\nAnswer: 3, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 y when three letters picked without replacement from {y: 1, t: 1, r: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 9. Let j(n) = -n + 1. Let s(b) = 6*b - 11 + 5 - 16 + 12. Determine x*j(h) + s(h).\nAnswer: h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/12*(-13)\/(5070\/104)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1127 + 321*x - 1127 + (-2*x + 5 - 5)*(-3 - 2 + 2) in the form t + v*x and give v.\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000067451058 rounded to 6 dps?\nAnswer: 0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(21) + (sqrt(21) - sqrt(105)\/sqrt(5)))*-3)\/(sqrt(168)\/sqrt(6)))**2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(((-7470)\/(-438) - 17) + 0)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 233 = 32. Let v(h) = 28 + 26 - d - 116*h. Let r be v(-1). What is r rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*w - 243, -2*b - 53*w + 143 = -50*w. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-192)\/(-30))\/8)\/((-4)\/(-180)*12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19.7 + 19.70245. What is d rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c**2 + 0*c**2 + 2*c**2 + 17*c**3 - 22*c**3 + 2 in the form u*c**2 + x*c**3 + s*c + v and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -43*k**2 + 2*k - 19. Let n(s) = 42*s**2 - 2*s + 16. Let w(y) = 4*h(y) + 5*n(y). Suppose g = 3*g - 4. What are the prime factors of w(g)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 4*w - 2. Let q(k) = -k**2 - 2*k - 1. Let f(d) = 7*j(d) - 14*q(d). Let i(z) = 9*z - 2 + 2. Determine i(f(a)).\nAnswer: 63*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 10*f - 6. Suppose 492 = 57*k - 249. What is the remainder when l(-13) is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(500) - (sqrt(500) + (sqrt(500)*-1*5)**2) - ((-4*sqrt(500) - sqrt(500)) + 3)) + 4*(4*sqrt(500))**2 + sqrt(500) + -1 + -2).\nAnswer: 180*sqrt(5) + 58482","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(18\/(-6385)) - (-2)\/(-12). Suppose -9*l + j + 835 = 0. Is l a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6095*o = -5941*o - 5852 for o.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8626367.7ms to days.\nAnswer: 0.09984221875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**22)\/(z*z**(-9\/2)*z) assuming z is positive.\nAnswer: z**(-37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + -1.1. Let t = 84.3 - 84. Which is the nearest to 3? (a) u (b) 3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from kskyiynyysko.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + (sqrt(68) - (0 + sqrt(68) + 0)) + 2*2*sqrt(68))*4*2.\nAnswer: 80*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150 bigger than 1198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d**2 - d + 17. Let b be o(-7). Let m = 112 + b. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -15, 5, 2253?\nAnswer: 2253","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 79568 and 144.\nAnswer: 716112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*w**3 + 123*w**3 - 44*w**3 - 46*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27638235, -27638236, -27638237, -27638238, -27638239?\nAnswer: -27638240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 20*r**2 - 894034. Let n(q) = -7*q. Calculate n(v(a)).\nAnswer: -140*a**2 + 6258238","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14092458*f**3 + 15187502 wrt f.\nAnswer: -42277374*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-5 - (6 - 10))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1163668 and 1177077.\nAnswer: 2349445692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 7*w**2 + 3. Let j be q(-7). Suppose -j*x - 88 = -5*x. Suppose -x = -8*k + 4*k. What is the remainder when 32 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x - 1. Let z be (-14)\/(-10) + 10\/(-25). Let k(c) be the third derivative of c**5\/60 + c**4\/6 + 2*c**3\/3 + 2*c**2. Give z*k(w) + 3*g(w).\nAnswer: w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 148507.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-19)\/4 + 9\/12. Let l(h) = 2*h**2 + 7*h + 4. Let t be l(b). Solve 5*k + 9 - 2 = -2*n, 4*k = -5*n + t for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 12:18 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*s + 13*s + 6*s + 13*s - 11.\nAnswer: 2*s - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*c**4 - 6*c**5 - 10*c**4 + (-3*c**2 + 2*c**2 + 1503 - 1505)*(54*c**3 + 51*c**3 - 93*c**3).\nAnswer: -18*c**5 - 24*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1796 divide 141799588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59 + 61. Suppose -4*o = -h - j*h - 3, 0 = -2*o + h + 3. Solve -o*t = 1 + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 646 and 226879?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 2:22 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-41 + 13 + 16)*(-p + 2*p + 0*p)*(-1 + 1 - 1) as l*p + r and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = 5*h + 116. Let z = 58 + h. Let q(c) = -c**3 + 5*c**2 + 7*c - 1. Let a be q(z). Solve 0 = 4*n + 2*p - 2, -5*n + a*p = 13 + 22 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, p: 4}. Give prob of picking 1 q and 2 p.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -5*r**3\/6 - 7*r**2\/2 - 2*r. Is b(-5) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2615962241.89 and -0.1.\nAnswer: 2615962241.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -91, -178, -309, -496?\nAnswer: -751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - y + 6. Let t = -3 - y. What is the highest common divisor of t and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 120*w**3 + 10*w**2 + 10*w + 55. Let o(s) = -11*s**3 - 78*s**2 - 5 + 42*s**2 - s + 35*s**2. Let y(u) = -65*o(u) - 6*q(u). Solve y(j) = 0 for j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 + 59*k - 4. Let q(o) = 5*o**2 + 117*o - 9. Determine 13*h(n) - 6*q(n).\nAnswer: -4*n**2 + 65*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -194 - -194.4. Let g = -8.4 - -0.4. Let v = -6 - g. Which is smaller: v or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152.657ns to microseconds.\nAnswer: 0.152657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 6*q - 864. Calculate the remainder when q is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, z: 1, x: 2}. Give prob of sequence xx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 80684665199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21241 is divided by 450.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -2*a**3\/9 - 8356*a**2\/3 - 34911368*a\/3 - 8420. Suppose z(x) = 0. Calculate x.\nAnswer: -4178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -476, -3, 14.\nAnswer: -476, -3, -1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 782032 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -v**4\/2 - 4*v**3\/3 - v**2 + v - 17. What is d(-3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, w: 3, k: 2, v: 1}. What is prob of sequence wk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*s**3 + 1 - 589*s**2 + 589*s**2 as c*s**3 + j*s + h*s**2 + k and give c.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -9*k + 11. Let b(x) = 2*x - 2. Let r(n) = -6*n + 6. Let v(m) = 14*b(m) + 5*r(m). Let a(q) = 2*j(q) - 11*v(q). Let z(h) = -4*h**2. What is z(a(g))?\nAnswer: -64*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - 1378 = 100*o for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8590167*h**5 + 2*h**4 - 14*h**3 - 105627396*h**2 wrt h?\nAnswer: -515410020*h**2 + 48*h - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -7*v + 134. Let f be h(20). Which is smaller: -38\/7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 6. Suppose f = -y*f + 2. Let o be 1*(-1)\/f*-26. What is the greatest common factor of 143 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5cbc9a (base 13) in base 16?\nAnswer: -21f56f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -130 (b) 0.21 (c) -2\/7 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-12)*(-12)\/(-1). Let p = -2 - -4. Let n(t) = 3*t**2 + 7*t - 2 - 14*t**p + 10*t**2. Calculate n(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 5*p - 35 = -k, -2*k = -4*p - 64. Solve -6*s - k = -10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 3:15 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 13. Suppose 0 = 2*s - 3*m - 0*m + 8, 5*m = 2*s + 16. Suppose -4*i = -t - 2, 5*t + 7*i - 40 = s*i. Is t smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8787256 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -13. Suppose -16 + 1 = 5*u. Put u, -2, n in descending order.\nAnswer: -2, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 1. Let v(h) = -h**3 + 6*h**2 + h - 2. Let g(u) = -n(u) - v(u). Calculate g(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11353528.\nAnswer: 2, 421, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhghhhhhhgghhg. Give prob of sequence hghg.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 77?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -15. Let n(z) = 2*z**3 - t*z**3 - z**2 + 0*z**3. Let a be n(1). Let o(p) = -p**3 - 4*p**2 + 3*p - 4. Give o(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*g + 1 = 0, -5*x + 21 = -4*g + 4. Suppose 0 = -x*p - 0*p. Let s = 20 - 19.99. What is the closest to p in -5\/2, -2\/11, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 23 = 5*o, y = 4*o - 8 - 12. Let w be 123\/(-2) + y\/16. Let h = w + 73. Solve 0*a + 2*a = 4*d, -5*d = 3*a - h for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2563, -2663, -2765, -2869?\n\"Answer: -y**2 - 97*y - 2465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 8570703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, i: 1, g: 1, w: 1, c: 1}. Give prob of picking 1 i and 1 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/((-36)\/16) + -51004. What is l rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 18405*f - 3273. Is l(3) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*x + 545 + 951 = 0 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6231514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 870 and -4.3106.\nAnswer: -3750.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-1)*((-606)\/404)\/(2\/((-152)\/12))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55 - -79. Let v(i) = -g*i + 656 - 656. Let u(j) = j**2. What is v(u(h))?\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 6*t**2 - t + 8. Let f be m(6). Suppose 0*a = 4*a + 48. Let o = 2 - a. What is the greatest common factor of o and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1078316454?\nAnswer: 2, 3, 29, 1451, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + i = 167, g + 0*i + 83 = i. What is the common denominator of -30 and (-175)\/g*((-42)\/10 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/5)*f**(-6)*f**2*(f\/(f*(f**4\/f)\/f))\/f)**38 assuming f is positive.\nAnswer: f**(-1254\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*k - 5*m - 10, -k + 3*m + 6 = 0. Let r = k + 4. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*c + 1 = 8, 0 = 4*o - 3*c - 27. Suppose o*x = -3*r + 3, 0*x + 3 = 3*r - 3*x. Let j be (-10*r\/(-2))\/1. Solve -j*v = -10 + 35 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38904?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqrqn. What is prob of picking 1 q and 1 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 650 + -879.6. Let k = q - -227.111. Round k to one dp.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 = -65*h, 11*x - 13*x + 10 = -3*h - 0*h for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 117*a + 7. Let n(m) = 9*m. Give n(u(y)).\nAnswer: 1053*y + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 581 + -1744\/3. Which is the closest to -1\/4? (a) 0.5 (b) -91 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r = -0*r - 4*r - 4, 128*r = 5*q + 133*r for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8398*m - 8450*m + 2028 for m.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a century in months?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.178 rounded to 1 decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1 - 1) + 0 - -1) + -5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8700236ns in minutes?\nAnswer: 0.00000000003116706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 325098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 2.3, -3, -9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.2, -4\/13, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**3 - 17*w**2 - 9*w - 3. Let f be o(-8). Let g = 28 + -13. Calculate the highest common factor of f and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 2*u - 24. Let i be a(0). Let v = 43 + i. What is the greatest common factor of 76 and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -278879, -278974, -279085, -279212, -279355?\nAnswer: -279514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -432 - -445. Let x be 1 - -287 - (29 + -3)\/q. Calculate the greatest common divisor of x and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 987 = -1458. Let g = -242 + k. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -752\/1365 + -4\/195. Let r = 1.6 - 2.6. What is the closest to r in -4\/3, m, 4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 + 35. Let u = 0.4 - -0.6. Let z = 1\/96 - -89\/672. What is the closest to u in m, 3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -155 + 275. Suppose 8 = -2*v - 4*j + a, 3*v + 5*j = 166. What is the common denominator of (v\/(-8))\/((-10)\/9) and 65\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*q - 2, -5*q + 4*w + 14 = 5*w. Is 34 a factor of 6*q\/(-6)*-51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141239 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -152 and -518421.\nAnswer: -518573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3598259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8971*b**2 + 8971*b**2 + 578*b**3)*((1 + 0 + 2)*(0*b - 5*b + 4*b) + 0 + b + 0).\nAnswer: -1156*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1183?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -1021*n - 75553. What is z(-74)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - (-84 + 67 - -70).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1880 divided by -5.\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64279 = 3*s + a - 5*a, 4*s + 5*a - 85757 = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 2*k - 16, 3 + 5 = -2*m - 3*k. Let h = 23.8 - 23.3. What is the nearest to 0 in h, 3, m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196743 is divided by 1428.\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7095 is divided by 512?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 69 in 0.1, -0.06, -0.2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/1203 and -59\/1880289.\nAnswer: 1880289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 408 - 19*p - 4*p - 201 - 203 + 2*p**2 as k*p**2 + g*p + m and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**5\/270 - 7*x**4\/54 + 49*x**3\/27 - 35*x**2. Let v(b) = 0. Calculate b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1373 + 1371.927. Let g = -1.2766 - i. What is g rounded to 2 dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 558055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 119, -148, -585, -1186, -1945, -2856, -3913, -5110?\n\"Answer: u**3 - 91*u**2 - u + 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -36033065 (base 7) in base 8?\nAnswer: -14114242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(11) - (sqrt(1331) + -3*sqrt(1331))) + -6*-2*sqrt(2) + 1*sqrt(2)*2.\nAnswer: 323*sqrt(2)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 91*i**3 + 13*i**2 - i + 6. Let c(w) = 15*w**3 + 2*w**2 + 1. Let n(h) = 6*c(h) - j(h). Let z(x) = -x**3 + x**2 - x. What is 4*n(k) + 4*z(k)?\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**3 + 24*v**2 + 2*v - 3. Let r(y) = -2*y**3 + 27*y**2 + 2*y - 3. Calculate 3*c(u) - 2*r(u).\nAnswer: -2*u**3 + 18*u**2 + 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-9)\/(-15))\/((-5)\/25). Let i be 4 - (d\/(-5 + 2) - -1). Factor -15\/2*v**3 - 3\/2*v**4 - 3 - 21\/2*v - 27\/2*v**i.\nAnswer: -3*(v + 1)**3*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -28*q + 10*q. Suppose o - 3*j = 5*o, q*j = -2*o. Solve 0 = -5*w + 4*l - 15, -w + o = l + 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-33)\/(-22))\/(4\/2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 8 = -4*p + 24 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1045038 - 1045039 - 1479*h**2 + 2090080 - 5251*h**3 wrt h?\nAnswer: -31506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 67*k**2 + 130*k - 249. Calculate r(-69).\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*j - 92. Let q be (j\/6)\/(2\/36). Suppose 0*d + q = 4*d. What is the remainder when d is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + n + f + 10 = 0, n - 9 = -3*f. Which is the biggest value? (a) 1\/6 (b) -0.5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 2*g = -10, -4029*g = -4*r - 4033*g - 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*a = 9, -f + 2*a = 4*f - 8. Suppose -92 + 505 = 3*d - f*k, 695 = 5*d - 2*k. Calculate the remainder when d is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 11:38 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1233, 2637, 4039, 5439, 6837?\n\"Answer: -l**2 + 1407*l - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -0*w - 5*h + 10, -5 = w - 4*h. Suppose w = -5*c + 10*c. Suppose -m - 891 = -c*j + j, -2*j = -5*m - 879. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.287 + -21.713. Let p = -195 + 172.94. Let c = q - p. Which is bigger: 3 or c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (3 - (215 - 131))\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 1. Let c = -7 + 4. Let r(v) = v - 2. Let g(q) = -q**2 + 4*q - 3. Suppose -10*p + 15*p - 10 = 0. Let a be g(p). What is a*r(o) + c*b(o)?\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 (base 13) in base 16?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 0, 6, 12?\n\"Answer: 6*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/3)\/((-4)\/30). Let o = k + 5. Is o < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 167931 and 7520.\nAnswer: 26868960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -5601*a - 2577. Is 39 a factor of l(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/2 + 18300\/3. What is m rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 4*a - 6 = 0, -48 = -2*w + 5*a - 64 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 352 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5301606 to the power of 1\/2, to the nearest integer?\nAnswer: 2303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 20*n**2 - n + 41. What are the prime factors of v(-20)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 68936.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 207799 - 207801 = 0, 2*t + 4 = 4*x for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 - -38. What is the units digit of (69\/c)\/(2\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 25\/10 - 762\/(-4). Let s = d - -38. Calculate the highest common divisor of s and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 6. Suppose -3*j - j = -12. Suppose -3*t = -8 + 2. Solve 2*g + j*d = 3, l*d + 3*d - 1 = -t*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3484 or -73181\/21?\nAnswer: -73181\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -87280928\/3 or -29093644?\nAnswer: -29093644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 91*j - 83*j - 16. Let q(a) be the third derivative of -11*a**j - 1\/4*a**4 + 3\/2*a**3 + 0*a + 0. What is the first derivative of q(i) wrt i?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxx. Give prob of picking 4 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -421 - -424. Let l = -1 + 1. Suppose 4*t + 955 = 3*g, h*g + t = -l*g + 950. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 1561.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -230 + 236. Suppose 0*x + i = x. What is the smallest common multiple of 56 and x?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15559196.9 rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -9.4. Let c = -598.572 + 597. Let t = c + i. What is t rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t**2 - 2. Let j be -2 - (-6 + (-4)\/(-2)). Let v(o) = o**2 + 16*o**2 - 3 - 13*o**2. Let k(a) = j*v(a) - 3*y(a). Let i(r) = r**2. Calculate i(k(q)).\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2521 is divided by 2286?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35424 + 534?\nAnswer: 40402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -52*g**2 - 5*g - 3. Let y be f(-6). Let k = -1134 - y. Suppose r + 3*b = 3394, -r + 2687 = b - k. What is r rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than 15.3607632?\nAnswer: 13.3607632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/12*9\/2. Let r be (-1)\/(2 - 18\/8). Suppose r*c - 10 - 2 = 0. Calculate the highest common factor of c and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, f: 5, d: 2}. What is prob of picking 3 f?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/3*(-18)\/(-165)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 12*q - 213 + 28 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10404 by -5202.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/2, 133, 3, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -267 + 262. Let n = -10 + 28\/3. Put x, -2\/21, n, -0.2 in increasing order.\nAnswer: x, n, -0.2, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-2)*(-12)\/(-9). Suppose -r + 0*r - 3*x = 116, 116 = -r - x. Let c = r + 120. Put a, c, -6 in descending order.\nAnswer: c, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n. Let b(v) = 8708*v**2. What is r(b(g))?\nAnswer: 8708*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/6175242 and -127\/1398168?\nAnswer: 74102904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -26530 rounded to the nearest one hundred?\nAnswer: -26500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f**2 - 6*f + 0 + 3 + 3*f**3 + 2*f + 1. Suppose 2*x - 9 = 3*x - 4*j, -4*j + 18 = 2*x. Is t(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -3, -0.3 in descending order.\nAnswer: -0.3, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -4\/5, -2\/33, -5, -3.72, 196?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, w: 1, y: 4, g: 1, a: 2}. What is prob of picking 2 a?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 34425\/(-3375) - (-9)\/(-5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - c**2 + 4*c + 2. Let y be -2 + (-2 - -2) + -2. Let p(o) = -o**3 + o**2 - 5*o - 2. Let z = -58 + 53. Determine y*p(k) + z*l(k).\nAnswer: -k**3 + k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 10*r**2 - 13*r - 16. Let s be n(-11). Let b be (-1)\/2*(18\/s + -3). Solve b*o - 25 = -5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 207\/(-36)*2*-26. Suppose 17*i + 6*i - j = 0. Let f(o) be the first derivative of -4*o**2 + o + 1. Let v(m) = 17*m - 3. Determine i*f(c) + 6*v(c).\nAnswer: -2*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -70012 + 70011.030245. Let c = -8.969699 - y. Let n = -8 - c. What is n rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/1 + (-9 - -5). Let u(s) = -2*s**3 + 3 + 0*s**3 + 2*s**2 - 1 + 4*s. What is the units digit of u(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-6)\/(-4))\/((-315)\/18 + 18)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 786749*m + 14948235. Give y(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2428872 to the nearest integer?\nAnswer: 1558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kznhntk. What is prob of picking 1 z, 1 k, and 1 h?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -132, 5, -13, -2 in increasing order.\nAnswer: -132, -13, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19030 - 7003049\/368. Is 0 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-28)\/(-8)*2)\/(-1). Let q be (-9)\/(-7) + 2\/c. Is 1 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 87.8.\nAnswer: 87.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 179582 (base 11) to base 10.\nAnswer: 276212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/1160 and 107\/43500?\nAnswer: 87000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -172*j*m**4 + 43401*j*m + 414*j + 5558 wrt m.\nAnswer: -688*j*m**3 + 43401*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 + -23. Suppose -13 = -5*f + 2. Suppose -2*x = f*x - 30. Calculate the remainder when x is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/29 (b) 5 (c) -5 (d) -2 (e) 2\/3 (f) 0.11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 7*k - 895. Suppose -n + 3*h + 103 = 0, k = n + 4*h + 62. Suppose n = 2*a - 69. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1995*p**3 + p**4 - 11*p**2 - 26*p**2 + 1997*p**3 - 8*p**2 to the form d*p**3 + x + o*p + m*p**4 + i*p**2 and give i.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (7 - (0 - (-9 - -19)))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 3:32 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 19\/(-2)*(0 + -2). Let o = y - 12. Suppose -4*l = -o*l + 57. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(4\/9)*v*v**(-2)*v)\/(v**(-16)\/v*v*(v*v**(-2\/43)*v)\/v) assuming v is positive.\nAnswer: v**(5995\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230985.\nAnswer: 3, 5, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 0 + 1 - (-4 + -10 + (-4 - 45))\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 12) to base 2.\nAnswer: 101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a microgram in nanograms?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/24*-2*(-2)\/3. Let n be ((-39)\/52)\/(z\/4). Factor -5*o**2 - 2*o**2 - n*o**3 + 3*o**2 + o**2.\nAnswer: -3*o**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 87 + -83. Is 17491\/n + ((-27)\/(-12))\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 2290.\nAnswer: 1\/458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -4\/25931 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -y + 804. Let r = y - -137. Suppose -5*a + 2 + 0 = -r*i, 2*a - 5*i = -3. Which is smaller: 2\/125 or a?\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2. Let b(w) = w - 1. Let i(y) = 16*y - 8. Let n(s) = 16*b(s) - 2*i(s). Determine d(n(c)).\nAnswer: 768*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*o - 10. Suppose -2*z = o*g + 10, -2*z + 0*g + 10 = -5*g. Solve s = -z*s - 1, -p - 5 = s for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*s + 1407 = -6*s + 144*s + 135 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 11 = -3*x + f, 2*x - 5*f - 29 = 0. Factor 0*n + 0 + 2\/9*n**3 - 4\/9*n**4 + 2\/9*n**x.\nAnswer: -2*n**2*(n - 1)*(2*n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64 + 270. Let m(v) = v**3 - 34*v**2 + 32*v + 37. Let n be m(33). Does 26 divide (0 - (-2)\/n)*r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 9:25 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 4. Let z = t + -2. Let r = z + 2.99999. What is r rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**1)**2*(q\/(((q**(1\/3)\/q)\/q*q)\/q))\/q*q*q\/(q**3\/q))\/(q**(2\/11)\/q**4)**(-3\/8) assuming q is positive.\nAnswer: q**(559\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h**3 + 19590555*h**2 - 27986541*h + 8395965 = 0. What is h?\nAnswer: -932885, 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/((a\/a**(-20))\/a)*a*a*a**(-7\/4) assuming a is positive.\nAnswer: a**(-71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-5 + (1 - 0)) - (-656 + 661)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q + 16*q**3 + 3*q - 63*q**3 + 10*q**3 - 4*q**2.\nAnswer: -37*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.025 times 0.18?\nAnswer: -1.0845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 6:37 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18170, -72722, -163738, -291296, -455474, -656350, -894002, -1168508?\nAnswer: -1479946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 2*p + 2806 + 5084, 2*z - 2*p - 3944 = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.00466487 to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 + 17358965*c - 17358970.\nAnswer: 5*(c - 1)*(c + 3471794)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4+-2633.49\nAnswer: -2629.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 4 - 7. Is n less than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 576047?\nAnswer: 397, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 668\/(-1837) - 81\/(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-881.6\nAnswer: 440.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1\/11 (b) -1.1 (c) -9 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9089027 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -6, 4*r - 5*f - 17 = 3*r. Solve -s - r = -5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2\/3)\/w*w**7)\/(w**0)**(-27))\/(((((w\/(w*w\/((w\/(((w*w**4)\/w*w)\/w))\/w)))\/w*w)\/w)\/(w\/w**5))\/(w**(1\/2))**(-5\/8)) assuming w is positive.\nAnswer: w**(385\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7046224 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.149 times 34629\nAnswer: -5159.721","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 785805.\nAnswer: 3, 5, 52387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -953139 * -0.054.\nAnswer: 51469.506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k + 2*k**2 - 1 + 86*k**3 - 42*k**3 - 40*k**3 to the form m*k + c*k**3 + l*k**2 + n and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m. Let q(d) = 3*d**2 + 17*d + 16. Let k be q(-19). Let l(v) = 776*v - 10*v**2 - k*v. What is l(p(n))?\nAnswer: -40*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -125 + 129. Suppose 45 + 18 = w*t - 5*l, -5*t + 115 = l. Solve n + d = 2*n + 4, -4*d + t = 2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.52 times 3489?\nAnswer: 5303.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjvrvrvvorrovjvvv. What is prob of sequence jo?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) -100 (c) 2 (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 434 + -408. Let c(k) = -k + 32. Let g be c(q). Solve -g = -4*z - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -2. Let a(b) = -b + 12. Let s be a(9). Is f < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3031571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k - 1. Let z be n(-2). What is the closest to 1\/3 in 2\/7, 5\/4, z?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5a65 (base 11) to base 16\nAnswer: 1f00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 97, 359, 801, 1423, 2225, 3207?\n\"Answer: 90*m**2 - 8*m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 485 a factor of 56330135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**4\/15 - 2182*y**3\/15 - 10744*y**2\/15 + 25160*y\/3 - 63712\/5 = 0 for y.\nAnswer: -1086, -11, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 27 = 2*m, 2*c - 6*m - 57 = 5 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3427746 (base 9) to base 7.\nAnswer: 21501462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -3. Let d(u) = u**2 - u. Let m be d(4). Let i be 0 + m\/(-4) - -7. Sort i, -2, s in descending order.\nAnswer: i, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -85*m + 28. What is the tens digit of b(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -79 (b) -0.1 (c) -1\/2 (d) 5 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -49690?\nAnswer: -49690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 27\/(1\/(12\/9)). Suppose 3*y = -y + g. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 3*o**2 - 231*o - 294. What is n(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*o - 25249 + 25837 = 0 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6348*r - 26588*r + 3558*r.\nAnswer: -29378*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 504814 is divided by 900.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 4, -26 in decreasing order.\nAnswer: 4, 1, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 40873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 105*r - 16. Let b be c(10). Suppose w = -5*z + b, -4*z = -2*w + z + 2038. Let h = w + -627. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 19 = -v + 2*p, 3*v = 4*p + 24. Solve 1 = v*t - 7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 + 755*d - 4710.\nAnswer: 5*(d - 6)*(d + 157)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a micrometer in nanometers?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l + 137 - 341 = 0. Let c be (-3 + l\/(-8))\/(12\/(-16)). Solve c*x + 5 + 3 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28477 is divided by 2403?\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -8*c - 135. Give w(0).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -8. Let l = -6.6 + h. Let u = -0.1 - l. Which is the third biggest value? (a) -1\/2 (b) 0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141 (base 5) to base 3.\nAnswer: -1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.3 + 1.4. Let q = -0.65 - -1. Let n = -0.05 + q. Which is bigger: l or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2413 or 1061\/4?\nAnswer: 1061\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pw when two letters picked without replacement from {p: 6, w: 7, r: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 21 = -0*u - 3*k, -5*u = -k - 23. Suppose -u*g - 18 = 2. Which is the biggest value? (a) g (b) -2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 26*f - 48*f - 2*f**3 + 8*f**2 + 3*f**3 + 6 + 29*f. Let u be j(-7). List the prime factors of u*((-70)\/(-6) - -1).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 601411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -766 + -773?\nAnswer: -1761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -66, -10, -20 in decreasing order.\nAnswer: 0.1, -10, -20, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-210)*14*(-15)\/12.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 + 7*w - 25. Determine p(6).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8549\/(-1236) - (5 + -12)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9071 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 586 and 2382?\nAnswer: 697926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3667500 and 1.49?\nAnswer: 3667501.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1100187338?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -413 - -424.06. Let l = v - -0.44. Let a = 11.50000167 - l. Round a to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59.91 + 0.09. Let z = h + -60.000066. What is z rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y. Let u(k) = -75*k - 98*k - 18*k - 47*k. Determine f(u(o)).\nAnswer: 476*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -j - 3*i - 10140, 5*i + 15 = 0. What are the prime factors of j?\nAnswer: 11, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67\/33 - -4\/11. Put -5, s, -0.2 in ascending order.\nAnswer: -5, s, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/50)\/((-8)\/220)*-19. Let l = -25 + p. Let j = 3241\/11 + -294. Find the common denominator of j and l.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13799767.\nAnswer: 17, 719, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3585 + -2455. Suppose 28 = 2*t - 3*t. What are the prime factors of r\/8 - (-7)\/t?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + v = -8. Suppose 125 = v*c - 47. Is c a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**22)**5 assuming a is positive.\nAnswer: a**110","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -10*n + 1\/6*n**2 + 1\/9*n**3 + 1\/36*n**4 - 6. Let u(c) be the first derivative of g(c). Factor u(l).\nAnswer: (l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -28*g + 1517. Let z be r(54). Suppose 3*s - 26 = 16. Let l be (5\/(-10))\/(3\/(-24)). Solve z*v + l = s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**4 + p**2 + 3*p**4 - 4626*p + 4624*p + 2*p**4 + 0*p**4 + 18 + p**3 to m*p**2 + q + i*p**3 + c*p**4 + z*p and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -11. Let g = -5 + r. Suppose g*s = s + 3. What is the greatest common divisor of s and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -0.25 (b) 0.78 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20819486 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-4))\/((-2)\/116). Suppose -3*a + f = 3*w, a + 6 = -2*a. Calculate the highest common divisor of w and 589.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 384 and 1746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6\/5)*f*f**(-4\/13)\/f)**(-4\/15) assuming f is positive.\nAnswer: f**(392\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a. Suppose -3*u = -8714 + 2150. Let v(p) = -u*p**2 - 2 + 2179*p**2 + 2. Give v(g(q)).\nAnswer: -144*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -490*k + 7007*k - 651042 - 293923 for k.\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -657, -2715, -6163, -10995, -17205, -24787, -33735, -44043?\nAnswer: -55705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/((o*o*o**(-1))\/o)*o))**28)**11*(o\/((o**0\/o*o*o)\/o))\/((o*o\/(o*o**(4\/3)*o)*o)\/o)*(o\/(o**(-1\/3)\/o))\/(o*o**(-2\/19)) assuming o is positive.\nAnswer: o**(-17341\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2 + -1*sqrt(320))**2 + 4)*5.\nAnswer: -4840 - 480*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 720596285 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.7 - -2.766. Let d = h + -0.166. Which is smaller: d or 2\/67?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-623093)\/(-184) - (-6)\/(-16) and 20?\nAnswer: 33860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11431047?\nAnswer: 3, 3810349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325 = -606*o + 611*o. What is the highest common divisor of o and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 37 = -5*c, 5*b - 3*c = -24 + 70. Suppose -3*p = -26 + b. Find the second derivative of 3*v + v - 10*v**p - 15*v**5 wrt v.\nAnswer: -500*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-7 + 4 - -4 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/1407, -2\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -17*t - 687. Let y be v(-42). Solve 4*f + y = 8*f + 5*h, -4*f + 3 = -3*h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1317 > 216195\/164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 60?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 877.306kg?\nAnswer: 877306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77*u + 538*u**3 + 530*u**3 - 1076*u**3 to r*u**2 + c*u + a + q*u**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t - 13*t + 3*t + (1 - 2 - 2)*(0*t + 4*t - 5*t) + 0 + 0 + 3*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-5) - 5\/(-25). Suppose j = 2*m - 4*m + 4. Find the first derivative of -x**m + 6*x**2 - 2 + x**2 wrt x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -8*p**4 + 5*p**3 + 13. Let l(h) = 4*h**4 - 2*h**3 - 6. Let i(j) = -13*l(j) - 6*v(j). Factor i(n).\nAnswer: -4*n**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*195834\nAnswer: -587502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -j**2 + 0*j**5 + 0*j**4 - 7\/30*j**6 + 8*j + 0 + 0*j**3. Differentiate y(u) with respect to u.\nAnswer: -28*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*q + 38*q = -3*u - 141520, -424574 = -3*q - 5*u. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*s**4*v - s**4 + 15*s - 186*v with respect to s.\nAnswer: 8*s**3*v - 4*s**3 + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-9 + 9 - 4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u + 5. Suppose 0 = -3*y - 4*z + 3, 3*y - 50 = 2*z - 29. Determine i(y).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 5*n - 10*n - 5*o, 12 = -n - 2*o. Let y = n + 28. Calculate the lowest common multiple of 20\/(-6)*(0 + (-42)\/35) and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -152, -521, -1012, -1529, -1976, -2257, -2276?\n\"Answer: 16*z**3 - 157*z**2 - 10*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 2*b + 1 = 0, -1000*v - b = -1002*v - 8 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3267 and 117.\nAnswer: 42471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 141920617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 2)*(-5*f + 3*f - 3 + 0).\nAnswer: 8*f + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 108\/56 + 6\/(-3). Which is bigger: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*35*57\/(-257355)\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 19*c**2 - 24*c - 33. Is 4 a factor of y(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z - 7. Calculate the smallest common multiple of g(-6) and 11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4905 divided by -1635?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (27\/138)\/((-9)\/(-12)). Let f = -117\/184 + q. Calculate the common denominator of -25\/49 and f.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/4)\/(2\/(-11499)). Let u be (-18)\/(-42) + o\/(-21). What is the units digit of u\/10 + (-56)\/70?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -822*v = -808*v - 4970. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-330)*11)\/(((-12)\/(-117))\/2)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -4*h**4 + 80*h**3 + 170328*h**2 + 12343216*h - 12513620 = 0.\nAnswer: -113, 1, 245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 36\/(-10) + (-2)\/5. Let o(x) = x**2 + 3*x - 1. Let u be o(i). Suppose 2*w - u*v = 2*v + 3, -w + 9 = -v. What is the greatest common divisor of 56 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 30 = 9*k. Solve j - 3*q = 20, 4*q + 13 = -j - k for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.05 + -1.95. Let u = d - -2.2. What is the biggest value in 0.3, u, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 496119, 496114, 496109?\nAnswer: 496104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 0*v + 0 + 1\/6*v**3 + 11*v**2 - 1\/6*v**4. Let h be w(0). Solve -7 = -3*p - h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -57*w**3 + 3*w**2 - 44*w - 15. Is u(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7666886*y**3 - y**2 - 337947*y wrt y.\nAnswer: 46001316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -4\/5 (b) 33 (c) 4 (d) 6 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -136*i**3 - 28*i**2 - 11*i - 3. Let z(s) = 45*s**3 + 10*s**2 + 4*s + 1. Give -4*p(x) - 11*z(x).\nAnswer: 49*x**3 + 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -9*r - 3. Suppose 2*i - 4 = j + 10, 5*i = 3*j + 33. What is the remainder when c(-3) is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11702*k = -11510*k + 4992 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -332 - -500. Let h be 145\/4 - k\/(-224). Calculate the highest common factor of 592 and h.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 * 4.57336\nAnswer: -32.01352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6030 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 297191?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-135)\/4*(-5232)\/(-1090). Are v and 12 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 22. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 471.83 millennia to years.\nAnswer: 471830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -a + 15, -4*a + 24 = 5*b - 38. Calculate the remainder when 50 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.32 or -0.25?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 104513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -6*k - 4. Let a be o(-3). Let s = -9 + a. Solve -5*m + 3*j + 30 = s*j, j = 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - (-1)\/2)*206\/(-309). Let q = -179 - -270. Sort g, q, 2 in increasing order.\nAnswer: g, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58 + -39. Let s = -18.99955 + d. What is s rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -11.5. Let d = 9 + -5. Let f = -1 + d. Which is the nearest to 1? (a) k (b) f (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 55, 70, 73, 58, 19?\n\"Answer: -t**3 + 22*t + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 3*x**2 - 1473033*x - 4419126 = 0?\nAnswer: -3, 491014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence baea when four letters picked without replacement from {a: 4, d: 2, b: 1, e: 4}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -18*g**2 - 1716*g - 581. Give u(-95).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 + 15380*o + 29568050.\nAnswer: 2*(o + 3845)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -5*y + 40, -4*i + 5 = -8*y + 3*y. Suppose 2*q = i*m + 3*q + 8, -2 = -m - 2*q. Sort m, -5, 1 in decreasing order.\nAnswer: 1, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -23 + -20 + 25?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*j + 648884 = -1124732. Is ((-3)\/3)\/(6 + j\/(-11368)) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.36 and -1.6.\nAnswer: -1.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-54))\/((-2)\/30)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, w: 4, a: 2, e: 10}. Give prob of sequence all.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/4*-1 + 2. Suppose 25 - i = -3*v. Calculate the lowest common multiple of (8 - 2)\/(-3) - v and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - 5*f)*(-5*f + f + f)*(0*f**3 - 2*f**3 + 0*f**3).\nAnswer: -30*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -4*n - 14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14372886019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 18*x**3 + 76*x**2 - 74*x - 20 = 0.\nAnswer: -5, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -h**5\/20 + 7*h**4\/12 + 5*h**3\/6 - 3*h**2 + 29*h. Calculate w(7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1111313 + -2043?\nAnswer: -1113411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29*c**3 - 3710*c**2 - 7796*c - 520.\nAnswer: (c - 130)*(c + 2)*(29*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 4.878\nAnswer: -19.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 18*k - 7 - 21*k - 8*k**2 + 31*k. Give v(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 138546.2 tonnes to nanograms.\nAnswer: 138546200000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-4)\/3)\/((-8)\/(-24)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0, -1, 71\/11, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 12 = -v - 4, -3*z - 5*v = -28. Suppose z*y + 12 + 18 = 0. Let m be 100\/(-4)*3\/y. What is the greatest common factor of 5 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5*f + 4. Let o(m) = 21*m - 18. Let t(y) = -9*h(y) - 2*o(y). Let r(p) = 5*p**2 - 3 - p**2 + 2*p**2 - 4*p**2. Determine t(r(a)).\nAnswer: 6*a**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3121093 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5320891*t + 58529800. Determine o(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7, -70, -233, -494, -865, -1358, -1985, -2758?\n\"Answer: -2*g**3 - 31*g**2 + 30*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 511 - 3*x + 268 - 475 - 3*x**2.\nAnswer: -3*x**2 - 3*x + 304","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 107 = -109. Let t be w\/(-16)*4\/6. Solve h = t*h - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.20251 and -3?\nAnswer: 0.60753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2707622*h**3 + 680511*h?\nAnswer: 16245732*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3615*j - 556691. Calculate y(154).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16862 is divided by 733.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -846*k - 866*k - 1861*k in the form a*k + r and give a.\nAnswer: -3573","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -108, -28118 in decreasing order.\nAnswer: -5, -108, -28118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 539 divide 828241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 21. Solve h + x = -1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 74 - 14. Suppose 0 = 3*f - 436 + 343. Calculate the remainder when f is divided by 50\/4 + 18\/j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/81 and 133\/24.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -99 - -243. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-9)*-4*(-6965)\/8358.\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 350\/(-20)*4\/(-7). Solve p = 6*p + w for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + -1*sqrt(1300) + 4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u - 1. Let f(o) = -13*o - 16. Let k(w) = 9*w + 11. Let g(j) = -5*f(j) - 7*k(j). What is -10*b(q) - 4*g(q)?\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 132333*h - 4. Suppose -4*j - 19 - 5 = -3*x, -2*j + 5*x = 26. Let q be g(j). Let m = q + -2102997. What is m rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.08 in 0, 35, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13108160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9393 + -81.23042.\nAnswer: -82.16972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 0*z - 48. Let w(b) = b**3 + 4*b**2 - 3 + 5 + 5*b + 3*b**2 - 5. What is the remainder when w(-5) is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*q + q**2 - 106*q + 428*q**3 - 427*q**3 to t*q**2 + g*q + d*q**3 + k and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-64)\/(-1)*(-4 + (-15)\/10). Let f = t - -604. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/3)*r)**1\/((r*r\/r**(-4\/5)*r*r)\/r**(-2\/9)))\/(((r**(2\/5)*r)\/r*r*r**4)\/(r**(-4\/3)\/(r*(r*r**(-3))\/r*r))) assuming r is positive.\nAnswer: r**(-424\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 163288.\nAnswer: 653152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 8, u: 6, f: 3}. Give prob of sequence ufff.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + 6. Calculate the remainder when ((-2)\/5)\/((-6)\/480) is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 take away 463226030822?\nAnswer: -463226030822.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15499\/52 - 298. Are y and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k**2 + k. Let y(p) be the first derivative of 5*p**2\/2 + 7*p + 11. Calculate the remainder when y(7) is divided by j(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17809 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8826 + -8820. Solve g = 5*p - 9*n + 7*n, 3*p = -n + 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41201 - -0.03219.\nAnswer: -41200.96781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70 or -66?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5075 and 17893.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35529 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*r = x + 23, 0 = -2*r + 5*x. Solve -3*m + 34 = -r*b, -b = b + 5*m - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 2. Let v = k + 1. Suppose -2*u + 5 = 3*z, 2*z + v*z = 3*u - 55. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 633.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**3\/2 - 16*h**2\/3 + 89*h\/6 - 13\/3 = 0.\nAnswer: -13, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 - -29) + 4 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -63466 (base 8) in base 4?\nAnswer: -12130312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -435709.3074 to the nearest 10.\nAnswer: -435710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366 is divided by 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10*(-14)\/(-175)*10\/4. What is the remainder when (-9)\/6 - (-1005)\/20*r is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*i - 33 = 0, 3*i - 1 + 16 = 0. Let k(d) = 2*d**2 + 8*d - 5. Is k(s) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188640*l - 188605*l - 139 = -s, 0 = -2*l + 3*s + 11 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69 + 17. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p. Let v(c) = -171*c**2 - 9*c - 9. Let j(h) = 172*h**2 + 6*h + 7. Let y(t) = -3*j(t) - 2*v(t). Give k(y(i)).\nAnswer: -174*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 975 and 7605?\nAnswer: 38025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7253793 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*t + 52. Suppose 4*h - 3*m - 91 = 0, -h = -0*h + 5*m - t. Let s = -5 + h. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-421 + 425 - 1279 - 798)*(0*b + b + 0*b).\nAnswer: -2073*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539) + 1 + -5 - sqrt(1539) - (-3*sqrt(1216) + -4).\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 419*4162588\nAnswer: 1744124372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 53 = -b. Let i be 36\/b + (-39)\/110*2. What is the second biggest value in 3, 2\/17, i?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59229440?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 224 (base 7) in base 15?\nAnswer: 7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*a**2*q**6 - a**2*q**5 - a**2*q**2 - 252*a*q wrt q.\nAnswer: -4560*a**2*q**3 - 60*a**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27752 (base 9) to base 13.\nAnswer: 8762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*(-1*sqrt(475) - sqrt(475)) - (2 + 0 + sqrt(475) - (sqrt(475) + 2*sqrt(475)*1 + sqrt(475))))**2 + -3.\nAnswer: -300*sqrt(19) + 106876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gk when two letters picked without replacement from ebggkkeeeeeee.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/14 + (-22)\/(-4). Suppose d*t = -16 + 111. Let j be (-6)\/(-4) - (-2630)\/20. Calculate the highest common divisor of j and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zhh when three letters picked without replacement from tohoooohtttztehzt?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484*s + 79228 = 1850*s for s.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 9*q - 95. Let p be d(11). Solve -p*x + 2*n = 6*n, -5*x + n - 30 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-2)*(-24)\/30. Let v be (3 - 3) + 6\/p. Find the second derivative of z**3 - 6*z**v + 3*z**3 + 9*z wrt z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 3*s = -15. Suppose 26*f + 172 = 1758. Put s, f, -4 in decreasing order.\nAnswer: f, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + d = 2*l - 10, -2*d - 12 = 4*l. Let s(r) = -r**3 - 3*r**2 + 8*r + 17. Let i be s(d). What is the highest common divisor of i and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40577223*w**3 + 40577218*w**3 - 5*w + 12*w.\nAnswer: -5*w**3 + 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 1. Let t(y) be the second derivative of y**5\/20 + y**4\/6 - y**3\/3 - 3*y**2\/2 - 2*y. Suppose -3*o + o - 6 = 0. Calculate o*f(j) - t(j).\nAnswer: -j**3 - 2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 100, 185, 304, 457, 644?\nAnswer: 865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 2550\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.029 - 0.22.\nAnswer: -0.191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f - 2. Let z be w(-4). Suppose 2*t = 4*t + z*y - 220, -5*t + 2*y + 585 = 0. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -341*s**3 + 336*s**2 wrt s.\nAnswer: -2046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 w, and 1 g when four letters picked without replacement from {g: 4, u: 1, b: 5, v: 2, w: 2}?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.079 + -4.079. Let o = -0.1 - -0.6. What is the closest to -2\/7 in -0.2, o, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 3*j**4 - 20*j + 20*j + (2*j**3 + j - j)*(-3*j + 2*j + 3*j) as g*j**2 + h*j**3 + r*j**4 + u + t*j and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**2 - 8 + i**4 + 30*i**3 - 20*i**3 - 12*i**3 to the form b*i**4 + v*i + h*i**3 + w + k*i**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3 = -17. Let y(p) = -35 + 3*p**2 + 4*p + 17 - 4*p**2 + 17. Determine y(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1106 + -104. Suppose 0 = -4*v + 346 + u. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ekk when three letters picked without replacement from kkkkkkke.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 7*z - 2*f - 68 = 0, -4*z - 2*f = -72. Let a be (10\/z)\/((-1)\/(-4)). Solve 2 = 4*q + a*m, 0 = -0*q - 4*q + m - 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tyyt when four letters picked without replacement from {y: 12, t: 3}.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 68, 1, 4 in increasing order.\nAnswer: 0, 1, 4, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -96*b - 387. Determine j(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: What is next in 340, 151, -38, -227?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 10:19 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 891 and 270?\nAnswer: 8910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*r - 62 + 79 = -268. Let a(i) = 9*i**3 + 2*i**2 + 2. Let j(d) = -18*d**3 - 5*d**2 - 5. Give r*a(f) - 2*j(f).\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 31. What is the lowest common multiple of a and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + 8 - 17) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-4)*(0 + -4). Suppose v = -3*v + f. Factor 3*n**4 + 2*n**3 - v*n**2 - 5*n**4 - 6*n**3.\nAnswer: -2*n**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-1 + (sqrt(1088) - (sqrt(1088) + 6*sqrt(1088) + -3)) - (3 + -2*(sqrt(1088) + 5))))**2.\nAnswer: -576*sqrt(17) + 17489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 y when three letters picked without replacement from yyyytytjytjyjtyyyy.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 7 + 3, p - 4*q = 4. Let s(l) = p*l - 13*l + 0 - l**3 - 5 - 17*l**2. What is the least common multiple of 40 and s(-17)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74033560 (base 8) to base 4\nAnswer: -330003131300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31823860147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + 3. Let g = 96 + -521. Let v = g + 430. Which is the fourth biggest value? (a) x (b) v (c) 1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -24*n + 19*n. Suppose 6*j - n*j + 395 = 0. Suppose 75*t = j*t - 216. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4 = 2*s - i, -5*i + 28 = -s. What is the units digit of 0 + 110 + s + 4 + -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 + 375*c**2 + 18584*c - 18960.\nAnswer: (c - 1)*(c + 60)*(c + 316)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4232 + 3?\nAnswer: 4240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2585255 by -63055.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - j**4)*(0*j + j - 3*j) + (-24535 - 8002*j**2 + 24535)*(5*j**3 - 4*j**3 + 2*j**3).\nAnswer: -24004*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 118*i**2 - 14*i + 22. Let s(a) = -178*a**2 + 20*a - 32. Give 7*f(c) + 5*s(c).\nAnswer: -64*c**2 + 2*c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 1:05 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.435 - 3.565. What is the biggest value in 2, -0.1, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10\/27 (b) 1\/4 (c) 0.1 (d) 0.6 (e) 0 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4262988.7 + -4263009.700037. Let v = i - -21. Round v to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -3*z**5\/5 + 11*z**3 - 27*z**2 + 24*z + 83. Determine l so that c(l) = 0.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58890114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1454720\/1199 or 1212?\nAnswer: 1212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 68 in 1\/2, 28, 0.04, 0.6, -1\/9?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**4 + n**4 - 4*n**4 + (-11 + 11 + 8*n)*(-2*n**3 + 2*n**3 + n**3).\nAnswer: 6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14020, -14022, -14030, -14050, -14088, -14150, -14242, -14370?\n\"Answer: -t**3 + 3*t**2 - 4*t - 14018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-8)\/(0 + 2). Suppose -5*r + 0*r + 30 = 0. Suppose 2*j + 12 = r*j. Solve 0 = -j*y + a + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2514370.\nAnswer: 2, 5, 251437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 172.1 to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28.1 + -92.9. Which is smaller: -5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19073650 to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**2*s**3*x**3 - 4*p**2*s**3*x - 8*p**2*s**2*x**2 + 2*p**2*s**2*x - 2620*p**2*x**3 - 2*p*s*x**2 - 6*s**3 wrt x?\nAnswer: 6*p**2*s**3 - 15720*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 + 17*c - 18*c**2 - c**3 + 5*c**2 - 9. Let w be y(-17). What is b in -3*b**3 - 56 - 22*b**2 + b**3 + 216*b - w*b = 0?\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -856 - -849. Let z(p) = -5*p**3 - 6*p**2 + 7*p + 11. Let x(w) = w**3 - 1. Let g(j) = -4*x(j) - z(j). Calculate g(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15.59 and 5.\nAnswer: 77.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 184806 and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d + 2*d**2 + 3*d**4 - 2*d**4 - 7*d to the form x*d + w*d**4 + s*d**2 + y*d**3 + b and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 140544 and 1112640?\nAnswer: 13351680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 163510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.7 - -0.5. Let q = 1.58 - 0.28. Let o = q + x. Which is the closest to 0? (a) -1 (b) -2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 h, and 1 f when four letters picked without replacement from hufhffhuuhfhhff.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 47002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*1\/64)\/(1\/2*(-824)\/3296)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.1 + -4. Suppose 98*c = 121*c. What is the third biggest value in k, c, -0.1, 1\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 - (-20 + 18 + 31 + -25)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -7. Suppose -15 = -3*m - 0*n + 2*n, -5*m - 5*n + 50 = 0. Let a be m + (-5)\/(5\/d). Put -4, a, 3 in descending order.\nAnswer: a, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -6*n**3 + 2*n**2 + 2*n + 4. Let x(l) = -l**3 + l**2 + 1. What is u(g) - 4*x(g)?\nAnswer: -2*g**3 - 2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1918\/6 - 46\/(-138). What is the greatest common factor of 20 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 366b6 + a57?\nAnswer: 37551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -241233070 rounded to the nearest 100000?\nAnswer: -241200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 y when two letters picked without replacement from {t: 1, y: 4, a: 2, o: 7}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -55451 (base 8) to base 12\nAnswer: -11609","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 1. Let n be k(-1). Let r be n - (43*(-2 + 71) + 3). Round r to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -174*u**3 + 4*u**2 - u - 11. Let i(q) = -261*q**3 + 6*q**2 - q - 17. Let y be (21\/14)\/((-6)\/(-32)). Let n(c) = y*p(c) - 5*i(c). Is n(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -0.535595.\nAnswer: -0.535595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 32, -1379, -3 in descending order.\nAnswer: 32, -2, -3, -1379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1336 - 1336 - 61*q**3)*(-1 + 1 + 2*q**2).\nAnswer: -122*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*i**2 + 1)*(5*i**3 - 2*i**3 - 4*i**3) + 3*i**5 - 3*i**5 + i**5.\nAnswer: 3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6176 - -6178. Let v = -7 + 5. Which is the biggest value? (a) 5 (b) v (c) o (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 3780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 - 50 = 4*r - s, 2*s + 9 = -3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 1 = -11*z. Let d(b) = -6*b - 1. What is d(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (((-2348)\/(-24))\/((-252)\/(-54)))\/(-1). Which is bigger: u or -21?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 4\/13, 2\/11, 1 in descending order.\nAnswer: 1, 4\/13, 0.2, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/7 (b) -513 (c) -0.3 (d) 7 (e) 3 (f) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millimeter in micrometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 547 and 0.3?\nAnswer: 164.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6231 + 2257 = 2*r. Let a = -218091861\/16 - -13634987. Let w = r - a. What is the common denominator of w and 27\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 218 - 217. What is the units digit of (-1 - 3 - y) + (-1314)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 315 and 5607.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 6:06 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (11 - 30) + 23 - -50.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9963 + 9968. Sort q, 241, -4, -0.4, -5 in ascending order.\nAnswer: -5, -4, -0.4, q, 241","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1317*370\/(-570) + (-4 - 444\/(-114)). Is o less than or equal to -858?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10213202 + 2001?\nAnswer: -10211201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3)\/(12\/8*(-56)\/126).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m**2 - 6*m - 2. Determine x(4).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 28. Let c(z) = -10*z - 30. Let q(u) = -3*u - 10. Let y(w) = -5*c(w) + 16*q(w). Let r be y(p). Solve r = -4*i + 32 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 216 and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 41, 80, 119, 158, 197, 236?\n\"Answer: 39*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 38 - 4. Suppose c*y - 6*y = 3. Let k = -153 + 157. Sort k, y, 0.\nAnswer: 0, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1700 = 70*d + 355*d. Solve 5*l = d*l + 3*h - 17, l = 5*h - 27 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(1 - (-23)\/(-2)). Let w = 2.07 - 0.07. Which is the third smallest value? (a) 5 (b) w (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01424779 to three decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -56. Suppose 5*n + 5*p - 85 = 0, -2*n - n + x = -3*p. Calculate the greatest common factor of 21 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 287*1028.93\nAnswer: 295302.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*y - 36*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274072.\nAnswer: 2, 34259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 97*n**3 + 8*n**2 - 12*n + 7. Let u be o(-11). Round u to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10a1 - -545?\nAnswer: 1636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1497 + -1345. Calculate the least common multiple of 4 and d.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/2 + -7 + (-7 - -4). Let z be 1\/1*(-9 - y). Let h(c) = 2*c. Give h(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 10:18 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -b + 5*o - o, -2*b + 28 = -4*o. Let h be 10\/(39\/b + -2). Suppose 5*z = 65 + h. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13410 (base 7) to base 9\nAnswer: 4876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 627*k**2*v**2 - 26600*k**2*v + 69*k**2 - 5*k*v**4 + 3072*k*v**2 - 17*v wrt v?\nAnswer: 1254*k**2 - 60*k*v**2 + 6144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20102 (base 6) in base 14?\nAnswer: -d5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(77) - sqrt(77) - sqrt(77))\/sqrt(7).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + p = 4*g - 11, -3*g + 4*p + 14 = 0. Solve x - g = -10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -6*(sqrt(98) + 1) + 1*(0 + sqrt(98) + sqrt(98)) + 3 + -1 + 5)**2.\nAnswer: -112*sqrt(2) + 1572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 14?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34302287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(2\/9)*w)**(-42))**(2\/43) assuming w is positive.\nAnswer: w**(-448\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 47 - 398 = 2*a, 624 = 4*s + 5*a. Calculate the remainder when s is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*a**3 - 120*a**2 + 0 - 5\/3*a**4 + 340\/3*a = 0. Calculate a.\nAnswer: 0, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/18073 and -19\/6413.\nAnswer: 198803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 442.375 rounded to 0 decimal places?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21036595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 5*m - 57 = 4*w, -2*w + 4*m + 38 = 0. Let n = w - -20. Let d = 90 - n. List the prime factors of d.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -h**5\/20 + 6*h**4 + 497*h**3\/12 + 201*h**2\/2 + 101*h + 1570. Let s(v) = 0. Calculate v.\nAnswer: -2, -1, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 divided by -19?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2351 (base 9) to base 12\nAnswer: -1017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 e, 1 y, and 1 i when four letters picked without replacement from iikeyei?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3\/2 + 23031*m**2\/2.\nAnswer: 3*m**2*(m + 7677)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -5*p**2 - 23955*p + 29841210 = 0.\nAnswer: -5817, 1026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 = -10\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**10*g)\/(g\/g**15*g))**(-3\/13) assuming g is positive.\nAnswer: g**(-72\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 f when two letters picked without replacement from flchnnf?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*r + 0 - 85*r - 4 + 176*r.\nAnswer: 12*r - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 9405 = -3*g + r, -5*g + 3*r = -15671. Let y = g + -1441. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d007 + -8?\nAnswer: -d011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*r**2 + 5 - 6 - 2*r**2)*(141*r + 28*r + 122*r) as t + b*r**3 + m*r**2 + z*r and give z.\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 + -48. Which is smaller: f or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -10*k**2 + 16*k - 8. Let c(o) = o**4 + o**2 - o + 1. Let m(n) = -a(n) - 8*c(n). Find the third derivative of m(v) wrt v.\nAnswer: -192*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/(-280))\/((-30)\/(-63))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.571147033 to three dps.\nAnswer: 1.571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 36 = 11*o. Let i(k) = 3*k - 17. Let d be i(o). Solve 0 = -13*t + d*t - 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.7 - -4. Let f = j + 0.2. Put 2\/13, f, -1 in increasing order.\nAnswer: -1, f, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 241535?\nAnswer: 241535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -21*g + 256. Calculate c(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12205.35 centimeters in nanometers?\nAnswer: 122053500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*a + 22*a - 28*a**2 to the form o*a + u*a**2 + h and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 1 - 29*h**2 - 3*h + 74*h**2 + 90*h**2 + 10*h**2 in the form z*h**2 + v*h + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*a = 19, -30 = -5*t + 3*a - 7*a. Let q(g) = 324 - g**t - 161 - 159 + 5*g. Determine q(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111574231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 2\/13 (b) -3 (c) 1\/10 (d) 8 (e) -47 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7911 greater than or equal to 7788?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 41, 2, 2\/19, 87, -1\/9 in increasing order.\nAnswer: -0.4, -1\/9, 2\/19, 2, 41, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**3 - 4*a**3 + a**3 + (45*a - 68*a**2 - 45*a)*(-4*a + a + 5*a) to the form x + j*a + d*a**3 + l*a**2 and give d.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21211.\nAnswer: 21211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.233 to two decimal places.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 17222305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -3. Let r(b) = 4*b**2 - 2*b - 7. Let n(q) = -2*q**2 + q + 3. Let m(l) = 5*n(l) + 2*r(l). Let d(u) = 2*u**2 - u - 1. Calculate i*m(t) + 5*d(t).\nAnswer: 2*t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n**3 + 10*n**2 - 10*n - 7. Let z(i) = -2*i**3 + 7*i**2 - 7*i - 5. Let d(h) = -5*k(h) + 7*z(h). Give d(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 3 - 3\/4*u**4 + 0*u - 4\/3*u**3 + 0*u**2. Find the third derivative of l(w) wrt w.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (157 + (-4424000)\/28175)\/(13\/(-7) - -2).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1)\/(14\/(-4)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*t - 1137 - 777 = 669 - 410 for t.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -q**4\/6 - 5*q**2\/2 - 4*q + 1. Let v(k) be the first derivative of j(k). Differentiate v(c) with respect to c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -256361*k**5 + 352*k**2 - 61 wrt k.\nAnswer: -15381660*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 4:07 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + sqrt(3) + sqrt(3)*1).\nAnswer: -12 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b + 4. Let g be r(-7). Is (-13165)\/g*(-3 + (9 - 4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + 3)\/(7\/2 - 32\/8). Which is bigger: k or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21464908 is divided by 259.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*k - 95*k - 855*k = -8099 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 3. Let y be m(-5). Let t(x) = 4*x - 9. Let b(n) = 1678 + 3*n + 4*n + 2*n - 3*n - 1692. Calculate y*t(q) - 5*b(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 3:26 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 38489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**3 - 4*i**3 - 4*i**3 - 4 + 36*i + 5*i**3.\nAnswer: i**3 + 36*i - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - w**2 + w - 1. Let b(d) = 4*d**3 + 5*d**2 - 7*d + 3. Suppose 0 = 2*q - 0*q + 2*r - 6, 0 = r - 2. Give q*b(k) + 5*i(k).\nAnswer: -k**3 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 o when two letters picked without replacement from ddoogoo?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*5*(-4)\/(-20)*-3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 + f**2 - f**3 + f**2 + (-394 - 30*f**2 + 394)*(-2*f - 5*f + 4*f).\nAnswer: 89*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 + 1035*x - 786*x + 3*x**2 to the form a + l*x + c*x**2 and give l.\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/4 + (2 - -36). Let z be (-15)\/(-60)*n\/2. Let y = 8 - z. Solve 0 = y*t + 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 11*x + 180. What is the tens digit of s(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*k = 20, -5*p - k - k + 6 = 0. Suppose -p*i = -3 + 9. Is 3 a factor of (-2)\/i - 44\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -21498 - 1?\nAnswer: -21499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1884 - 1749.1. Let z = m + -143. Let l = z + 8.09898. Round l to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + u = -6. Let x(j) = -j - 5*j**2 + 5*j**2 + 5 + j**2. What is the remainder when x(0) is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-360 - 28*g + 360)*(17 - 32 - 67) in the form i*g + h and give i.\nAnswer: 2296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 72*g**2 + 1521*g - 9713. Calculate b(40).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 247242 to the power of 1\/2, to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37631872.\nAnswer: 2, 293999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 + -38. Calculate the highest common divisor of l and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63 - 49*s**3 - 63.\nAnswer: -49*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 6*j - 1 + 0 + j**2 + 6. Let z be -6 + 0*(1 + -2). Give s(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 19183 in descending order.\nAnswer: 19183, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -697 by -7693.\nAnswer: 697\/7693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.1079667 - 13?\nAnswer: 14.1079667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 3*o - 65 + 46, 4*c - 4*o + 32 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 131721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3*16572\nAnswer: 49716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 5*o + 3*o)*(0 - 2 + 3) - o + 0*o - o + 3 - o - 3 - 2*o + 8 + 2 - 6.\nAnswer: -7*o + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j - 5*j + 3*j)*(-16139 + 1206 + 4367 + (-2 + 7 - 3)*(3 - 1 + 0)) as h + y*j and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15064?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-4) - (-54)\/24. Suppose 0 = a*m - 5 - 3. Solve 3*d + d**2 + d**m - 2*d**3 - 3*d = 0 for d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 297075 and 2025.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**7*((y**15\/y)\/y)\/y)\/((y\/(y**(-22)\/y))\/y**17))**(-2\/11) assuming y is positive.\nAnswer: y**(-24\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -20, -28?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 - -64. What is the third derivative of -10208*i**3 - i**6 - i**6 + 10231*i**3 + w*i**2 wrt i?\nAnswer: -240*i**3 + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + i + 4*a = -13, -2*a - 2 = 0. Is 36 + (-1 - (i + 1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50\/73 - -4\/219. What is the closest to -17 in -1, -0.5, -0.1, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*u + 86 = 7*s, -2*u + 60 = 4*s. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 17*o**2 + 5*o + 5. Let z(f) be the third derivative of -3*f**5\/20 - f**4\/8 - f**3\/2 - 10*f**2 + 4*f. Let i = -41 - -38. Determine i*k(c) - 5*z(c).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 54.07, -29, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*y - 6 = 0, -4*a - 5 - 1 = 3*y. Suppose t - 6*t + 60 = a. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*s + 13 = 13 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -197 + 218 - (29 + -2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 2) + -15 + 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + h + 1. Let r be c(0). Let y = -3 - -7. Suppose -y*d = -5*d. Sort r, d, 3 in descending order.\nAnswer: 3, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12\/653 - 12011\/21549. What is the common denominator of q and -149\/24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = u + 15. Is ((-325)\/15)\/(4\/u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 14*u + 11. Let g(i) = -13*i - 10. Determine 6*f(r) + 7*g(r).\nAnswer: -7*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*g + 6*g. Let i be 2 + (-2 - -1) + g. Let t = i + 13. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -455, -931, -1393, -1835, -2251, -2635, -2981?\nAnswer: -3283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9549, -9561, -9585, -9627, -9693?\n\"Answer: -v**3 - 5*v - 9543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -41, -73, -105, -137?\n\"Answer: -32*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92903438.\nAnswer: 2, 46451719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13.9437485 and -1.2.\nAnswer: -15.1437485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1779041223?\nAnswer: 3, 1327, 148961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1210002 - 11?\nAnswer: -1210013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/3 + 24407*m - 146446\/3.\nAnswer: (m - 2)*(m + 73223)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -23.3 bigger than -18\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*z - 337 - 1226, 1043 = 2*w - z. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 17*i = -16, 5*u - i = 56. Solve 14*j = u*j + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -5*a + 2. List the prime factors of f(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 10*a**2 + 6*a + 13. Let g be n(-8). Let z = -61 + g. Let v(f) = -52*f + 4. Let u be v(-3). Calculate the greatest common factor of z and u.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 + -46. Solve 0 = 4*k + y, 4*n - 3*k + 2 = 3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -77612.05 - -77612. Let k = -10 + 14. Which is the third smallest value? (a) 0.2 (b) k (c) u (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(2) - ((sqrt(120)\/sqrt(5))\/sqrt(12) + sqrt(2)) - (sqrt(8) - 2*sqrt(8))\/sqrt(4)) + 5).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 850865903?\nAnswer: 3019, 281837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 250782 by 41797.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -112001012020021?\nAnswer: -112001012020021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 792.19233ns to hours.\nAnswer: 0.000000000220053425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1261131231?\nAnswer: 3, 157, 223, 12007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (1 + sqrt(17) + 0 - sqrt(17)) - ((sqrt(204)*-2)\/sqrt(12))**2.\nAnswer: -67 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 807149?\nAnswer: 7, 67, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + 3945208?\nAnswer: 3945210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -14. Let k be 2\/(-4) + 13\/2. Let w = k + j. Solve 4*r = -2*i + 6, w = 3*r + 4*i - 3 - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -4*q**5\/45 + 5*q**4\/18 + 8*q**3\/9 + q**2\/9 - 8*q\/9 - 52. Let r(p) = 0. What is p?\nAnswer: -1, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4\/7 + 2203734*g**3\/7 - 13222350*g**2\/7 + 19833498*g\/7 = 0. What is g?\nAnswer: 0, 3, 1101861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.796191ml in litres?\nAnswer: 0.002796191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (2 - 27) - (-17 - -17)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 4\/5*p**6 + 9\/2*p**4 - 3 + p - 7\/2*p**3 - 3*p**5 + 3\/2*p**2. Let n(x) be the first derivative of u(x). Factor n(l).\nAnswer: 3*(l - 1)*(2*l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - (1 + -3))*36\/16. Suppose 2*p = -g*p + 1430. Does 25 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*k - 4 - 0, 2*k = 2. Let q(g) = g**2 - 10*g - 16. Let a be q(12). Let l = z + a. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 526?\nAnswer: 11046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2504115*c**2 - 2*c - 1988780 wrt c.\nAnswer: -5008230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 417*n + 2503. Let l be o(-6). Sort 3, 117, l, 4, -4 in decreasing order.\nAnswer: 117, 4, 3, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 412 divide 1239139028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -238326840 divided by 23832684?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 7*t = 27. Let g be ((-56)\/(-35))\/((-2)\/(-10)). Suppose -5*j + j = m - 18, 2*m = t*j - g. Solve -4*u - 2*v + 2 = -24, m*v = 3*u - 2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6977.999991474 - 6978. What is a rounded to 7 dps?\nAnswer: -0.0000085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -333*g**2 - g. Suppose 0*o + 5*o = 5. Let a be d(o). Does 21 divide a\/(-4) - 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-one fifths of a millennium?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 16*s + 0*s**2 + 0*s**3 - 7\/6*s**4 + 0. Let x(p) = -21*p. What is u(x(g))?\nAnswer: -6174*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -66 (base 10) to base 16\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 9*h**2 + 5*h - 4. Suppose -3*i = l + 31, 45 = -3*i - i - 5*l. Let p be m(i). Let u be 3\/9 - p\/3. What is the biggest value in -3, u, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*o = 119*o + 60 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a + 2. Let q(h) = -4*h**2 + h. Let j be q(1). Suppose 2*w = -2*w - 32. Let n be (-4)\/((-2 - w)\/j). Determine r(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/610*(-31)\/((-5208)\/(-96))?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/3 + 160653*n\/2 + 1927900\/3.\nAnswer: -(n + 8)*(2*n - 481975)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 5*u**2 + 7*u + 9. Let j be r(-6). Let i(f) = -f**2 - 2*f**j + 3*f**3 + 5*f + 6 + 6*f**2. Let y(g) = 5*g + 26. Let s be y(-6). Determine i(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4 - 8*o - 8 - 10 + 8. Let d be y(-3). What is the greatest common divisor of 1 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.035951 rounded to 3 decimal places?\nAnswer: -2.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2 = v. What is the common denominator of -27\/7 and (-6)\/(-5)*-2 + v?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420792137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 25 = 20*j - 25*j, -5*j = -5*x + 25 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73473329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2918045028.\nAnswer: 2, 3, 523, 464953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1898 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**4\/9 + 1394*j**3\/9 - 7534*j**2\/9 - 1372*j\/3 = 0. Calculate j.\nAnswer: -1\/2, 0, 6, 343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2316*a + 96. Let g(d) = -1159*d + 102. Let p(x) = -9*g(x) + 4*i(x). What is the first derivative of p(s) wrt s?\nAnswer: 1167","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -b - 4. Let d(y) = -17*y**2 + 18*y**2 + 17 + 13 + 9*y - 20. Determine d(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 1543 = v + 6971, -20 = -5*v. Round r to the nearest 100.\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (-1)\/((-2)\/2). Let y(t) = t + 5. Let o be y(0). Sort 0, o, i in ascending order.\nAnswer: i, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000 (base 2) to base 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x. Let a(j) = 48*j - 1776649. Give g(a(u)).\nAnswer: -96*u + 3553298","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 318.1387 - -150.6?\nAnswer: 468.7387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11)\/(-3) - (-84)\/63. What is the greatest common divisor of p and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 a when three letters picked without replacement from {x: 4, a: 15}.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 9*j + 8. What is c(6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*o = 9 + 2, 0 = -5*i - 4*o + 16. Let t = i + -1. Let f(u) = u**2 + 5*u + 6. Let g be f(-4). Solve -5*n = -t*n + g*x + 2, 4*x + 7 = -5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4*a - 19. What is z(-14)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 3*k - 8, -22 = -5*k - 17 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j - 26*j = 0. What is the third derivative of 1371*s**4 - 1274*s**4 - 13*s + s**2 + j*s**2 wrt s?\nAnswer: 2328*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.1 in 1\/11, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4d - -13?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 28\/(-2) + 266\/19. Let s(p) be the second derivative of 0 + 10*p + 1\/12*p**4 + 3\/2*p**2 + v*p**3. What is s(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 312 + -181.6. Let t = 133 - z. Put t, -3, 2\/5 in ascending order.\nAnswer: -3, 2\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 2*z - 26861, -3*v + 39*z + 16109 = 44*z. Is 27 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 388*1132\nAnswer: 439216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 64, 130, 196, 262, 328?\n\"Answer: 66*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.32258596 rounded to one dp?\nAnswer: -18.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 848859847.\nAnswer: 11, 77169077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 71 - 76 = 2*k, 3*o - 2*k - 3 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b = -22*b + 144. Let f(z) = 19*z - 2. Let s(u) = -39*u + 3. Let r(c) = 9*f(c) + 5*s(c). What is the remainder when r(-6) is divided by b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t - 4*t = -0*t, -2*v + 6*v = -4*t + 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -932*u + 207 - 129 = -39066 for u.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 4:41 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12652035 (base 8) in base 13?\nAnswer: 785634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 120301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**10*a\/(a\/(a\/(a*a**(-8))*a)))\/(a*a**(-18)*a*a*a**(-2\/51)\/a*a) assuming a is positive.\nAnswer: a**(1736\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13003144114 + 10?\nAnswer: 13003144124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6739.2 + 6739.16899979. Let o = t - -0.031. Round o to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22726*k**4*r - 3*k**2*r + 5242*k*r wrt k.\nAnswer: -545424*k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and -8071255.\nAnswer: -8071255.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -464 = -v + 5*n, -3*v - 2*n = n - 1482. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + -14. Suppose -55 - 33 = -4*x. Let d = x + k. Calculate the greatest common divisor of 36 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -394, 3\/4, 2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 9:52 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4656209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -690*w**2 + 690*w**2 - 86*w**5 + (2*w + w - w)*(0*w**2 + 0*w**2 + w**4) + 3*w**5 + 3*w**2 - 3*w**2.\nAnswer: -81*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -56, 3, -3 in increasing order.\nAnswer: -56, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 20\/257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -96183, -4 in increasing order.\nAnswer: -96183, -4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + i - 216 = 0. Suppose -5*k + 5*r = 10, -k = -0*k + 2*r + 5. Let x = k + 11. Calculate the highest common divisor of i and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -190208027*h**2 - 800713 wrt h.\nAnswer: -380416054*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 431458 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-11 - -15) - (-13 + -9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4\/17)\/a**(4\/13))**(-11))**(49\/3) assuming a is positive.\nAnswer: a**(21560\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100001111100010110011 + -101?\nAnswer: 10100001111100010101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4937577 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -20*p - 721. Calculate a(-36).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of k**4\/3 - k. Let g(v) be the first derivative of 0*v - 2\/3*v**3 + 0*v**2 - 4. Give g(j(h)).\nAnswer: -32*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1897*3.\nAnswer: 3.5691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1076 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: Put 42, -28, 5, 2, -27 in descending order.\nAnswer: 42, 5, 2, -27, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 + 424*z**2 + 6272*z.\nAnswer: 2*z*(z + 16)*(z + 196)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -216064\/45 - -4802. Find the common denominator of t and 15\/(-4) - 291744\/(-63360).\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(13) + 0 + sqrt(52)\/sqrt(4) + 4 + 0 + (sqrt(13) - sqrt(65)\/(sqrt(5) - -2*sqrt(5))).\nAnswer: 1 + 8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7110 and 4977.\nAnswer: 49770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3320\/63 - -407\/7. Let j = -214726 + 2837604092\/13215. Let c = 201163\/8810 - j. Calculate the common denominator of c and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 85 - 41\/2*p**4 - 2\/3*p**3 + p**2 + 0*p. Find the third derivative of i(w) wrt w.\nAnswer: -492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6607899*u**2. Let b(k) = 2*k. Calculate y(b(n)).\nAnswer: 26431596*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 16 = 5*c, -10*c + 4 = o - 9*c for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.297 or 6?\nAnswer: -1.297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/9 (b) 0.19 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**3 - 8*y**2 - 6*y + 1. Let a be u(-1). Let i = 1 + 2. Solve a*x = -x + i for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 710704688 a multiple of 1499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + d + 2. Let z be s(2). Suppose 4*x - 72 = 4*j, -4*j - z = -0*j. Calculate the remainder when 59 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -129 + 237. Let w = -18 + a. Let t = w - 539\/6. What is the nearest to 1 in 0.1, 0, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 4*k - 44, -5*k - 9091 = s - 9125. Let b(u) be the second derivative of 25*u + 27*u**5 - 1 - 3*u**2 - 19\/2*u**3 - 3*u**s. Factor b(o).\nAnswer: 3*(5*o - 2)*(6*o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xdx when three letters picked without replacement from {q: 3, u: 3, x: 3, d: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 17, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-6))\/((-16)\/1320). Let q = i + 111\/2. Which is the nearest to 0? (a) 2 (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/7))**(-3) assuming z is positive.\nAnswer: z**(-9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 748810728.\nAnswer: 2, 3, 83, 125303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 36*(1 + 9\/(-6)). Let v be (2 + 0)*s\/(-168). Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 2. Let t be (-2)\/(-8) + (-195)\/20 + 9. Let p = -1 + 3\/5. What is the nearest to y in t, 1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 19514?\nAnswer: -1\/9757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -22. Find k, given that b + 1\/4*k**2 + 1\/2*k = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*(-16 - (3 + -7)). What is the common denominator of 1790\/s - (-1 - 4)*1 and (114\/7)\/3 - 1?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k - 76. Let q be b(0). What are the prime factors of -1 - (q - 3\/(-3))?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 + 5 - 1 + 9*b as f*b + h and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 101664 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3489964*-36.\nAnswer: -125638704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**3)**(-3\/14))**(-2\/13) assuming d is positive.\nAnswer: d**(9\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5870 = 2*q + 2*v, 3*q - 3106 - 5700 = -2*v. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + b = -1311, -4*p = -3*b - b + 1068. Let t = -183 - p. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-89)\/445)\/(17\/5)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-2)\/12)\/(3\/45))\/(5\/(-4)). Let t = 2 - 2.04. What is the fourth smallest value in 2\/7, t, w, 1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**4\/3 + 57754*a**3\/3 + 12428849*a**2\/3 + 36882284*a\/3 + 8170396 = 0.\nAnswer: -57538, -213, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.5 - 2. Is 4 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 8*u**2 - 3*u + 8. Let r be w(5). What is the greatest common divisor of 170 and r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*b = 144*b + 11880. What is the greatest common divisor of b and 1440?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 27*o**2 - o - 34. Determine p(-27).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 8*x**4 + 17*x**3 + 17*x + 5. Let i = -3 - 3. Let k(g) = 3*g**4 + 6*g**3 + 6*g + 2. Let d(l) = i*s(l) + 17*k(l). Differentiate d(j) wrt j.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 4:41 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m**4 - 5*m**2 + 5*m - 10. Let a(d) = -d**4 - d**2 + d. Let o(u) = -5*a(u) + v(u). Differentiate o(g) wrt g.\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 49189, -180, -4?\nAnswer: 49189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 4, p: 3, y: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -384 + 541. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -384*h**3 - 18678*h**2 + 393*h**3 - 2 + 18678*h**2.\nAnswer: 9*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -502 + 293. Let d = z - -382. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-1 + 3 + -1). Calculate the lowest common multiple of 20 and -1*(j - 3) - -2.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 21 - 40 = 11 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1702 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: Rearrange -102*i + 20*i - 11*i - 36*i to y*i + c and give y.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, u: 3, c: 1, x: 1, d: 2, z: 4}. What is prob of sequence uuck?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 4623 divide 1070853228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 34647 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 - 105 = -7*i - 30 + 99 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from beecceceeceb. What is prob of picking 1 c and 2 e?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-618)\/(-1648)*8\/(-62))\/((-9)\/(-24))?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 2 (c) -88 (d) 103.6 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-40)\/(-50) + 172\/10. Suppose -3 + i = 5*h. What is the derivative of -1 - 3*t**3 - 13 + 6*t**3 + 4*t**h wrt t?\nAnswer: 21*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -5.9. Let u = 0.5 + j. Put -3\/5, 0, u in increasing order.\nAnswer: -3\/5, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -0.1, -0.5, -3 in decreasing order.\nAnswer: -0.1, -0.5, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3)\/(n\/((n*n*n**(-4))\/n)))**(-28))**(-4) assuming n is positive.\nAnswer: n**(-784)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 314 - 316.1. Which is the biggest value? (a) -0.2 (b) -1 (c) 4 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2813636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -21201003 (base 4) in base 3?\nAnswer: -1222110200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -1778*p**2 + 5064*p - 9. Let d(r) = -1783*r**2 + 5065*r - 11. Let b(j) = 4*d(j) - 5*i(j). What is the second derivative of b(f) wrt f?\nAnswer: 3516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 5, 29, -5.\nAnswer: -5, 5, 29, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 160470802?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 104135 - 124033?\nAnswer: -15454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 66358*g**4 + 14670?\nAnswer: 265432*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of u**5\/5 + 3*u**4\/4 - 16*u**3\/3 + 6*u**2 - 65. Factor p(h).\nAnswer: h*(h - 2)*(h - 1)*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -191 or 3462?\nAnswer: -191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + s**2 - 2*s + 1. Give x(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6349 is divided by 2752?\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w - 2. Let y(s) = -520*s + 7. Determine -y(n) - 4*z(n).\nAnswer: 496*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + x**2 - 1. Let d be (-6)\/(-12) - (-3)\/(-2). Let n be p(d). Sort n, -4, 0 in decreasing order.\nAnswer: 0, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = -10*s + 8*s. Suppose s = 4*t + 10*t - 38234. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1010101111001000 (base 2) to base 6\nAnswer: 535332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 divided by -588?\nAnswer: 115\/588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2384088 millennia to decades.\nAnswer: 23.84088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/11))**(-2\/5)*(h**(-2\/21))**(-1\/21) assuming h is positive.\nAnswer: h**(1874\/24255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -127 - -226. What is the greatest common divisor of 363 and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18683, -18692, -18709, -18740, -18791, -18868?\nAnswer: -18977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 116*q**2 - 5*q - 21. Let i be l(4). What is the highest common divisor of i and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**2 - 28*g + 25. Let m be t(-14). Which is smaller: m or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b348 (base 14) in base 6?\nAnswer: -2150244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 367141 - -4?\nAnswer: 367145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(528)*-1*2)\/(sqrt(24)\/(2*sqrt(32))) + -3.\nAnswer: -32*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 212469767?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 63 = -4*y - 2*y for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10420.767 - 10430. Let o = y + 9. Is o > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1620*w**2 - 525*w**2 - 279*w**2.\nAnswer: 816*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - f - 3 + 0 = 0, -2*f = -3*k + 6. Let m = -64 + 69. Suppose k = -4*b + c + 41, -5*c = -m*b + 2*b + 52. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v**2 - 2230*v. Let d(f) = 296*f. Calculate r(d(w)).\nAnswer: 262848*w**2 - 660080*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98 and 44?\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 12:42 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1700)*-1 + sqrt(1700) - sqrt(1700) - (sqrt(1700) + 3 + 5 - sqrt(1700))) + (4 + -6*(2 + -1*sqrt(1700)))**2.\nAnswer: -970*sqrt(17) + 61251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (-15 + 30)) + 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - 9. Let d be c\/(-4) - 2\/4. Suppose 0 = -5*o + 3*v + 99, -4*o = -0*o + d*v - 60. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d**3 - 4*d + 6 - 3 + 9*d**3. Let g(k) = -5*k**3 + 5*k - 4. What is -4*b(x) - 3*g(x)?\nAnswer: -x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5*443.347\nAnswer: -2216.735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1559 - 0.3441. Which is the nearest to -0.2? (a) 0 (b) u (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 12:07 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8, -21, -44, -83, -144, -233, -356?\n\"Answer: -c**3 + c**2 - 9*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 511883481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*j - 42 = 273 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -200 - 2345?\nAnswer: -2545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*j**3 - 224*j**2 - 116*j - 16 = 0. Calculate j.\nAnswer: -4, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 1\/9, -1 in descending order.\nAnswer: 1\/9, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-27)\/132)\/(-3) + ((-208)\/(-1144) - 0). What is m in n*m**2 + 7\/2*m + 45\/4 = 0?\nAnswer: -9, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191769653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 5:49 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i - 3. Let g be h(-6). Suppose 3*a - g + 6 = 0. Solve j + 0*j + a = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 5*n**2 + 4*n + 6. Let x be b(3). Suppose 6*r - r = x. Suppose -g = 1 - r. What is the closest to -2 in 2, g, -1\/6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00068279859 to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(2*v - 3*v + 2*v) + (2 - 2 + v)*(-8 + 7 - 19 - 2 + 4 + 0 + (-3 + 0 + 4)*(1 + 1 + 0))*(4 - 5 - 2) + 0*v + 5*v + 0*v.\nAnswer: 55*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 15*l**2. Suppose -3*f = -3*j + 3, 3*j + 3*f = 5 + 4. Let s be (-4)\/(-2) - 0\/(-2). Let n(z) = -4*z**2 - 2*z**2 + 9*z**2 - s*z**j. Determine n(a(q)).\nAnswer: 225*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/371 + 1849\/1113. Let q = 14\/43 + -271\/172. Calculate the common denominator of n and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -8*u**2 - 5*u - 11. Let l(o) = -3*o**2 - 4 - 3*o - 3*o + 4*o. Let v be (-24)\/8 - (-5)\/1. Let x be v\/9 + (-38)\/9. What is x*k(n) + 11*l(n)?\nAnswer: -n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2464898 or -2464885?\nAnswer: -2464885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -7. Let f be (v*-304)\/((-3)\/375). What is f rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0*x)**(-3\/20)\/(x*x\/(x\/(x\/(x\/(x*(((x\/x**(2\/19))\/x)\/x*x)\/x))))*x**0*x) assuming x is positive.\nAnswer: x**(-777\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.08 + 0.52. Let f = t - -1.4. What is the smallest value in f, -3\/5, -0.2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r. Let f(w) be the third derivative of -55*w**4\/12 + w**3\/2 - 3027*w**2. What is n(f(g))?\nAnswer: -220*g + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 528081, 528295, 528509?\n\"Answer: 214*h + 527867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + 2 - 14. Which is greater: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v + 30 = -7*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -212*f**4 + 2489736*f**3 + 9867504*f**2 + 9586400*f - 375936 = 0?\nAnswer: -2, 2\/53, 11748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**3*k*m*x**2 + 9577*d**3*k*x + 951*d**2*k*m*x**2 + d**2*m*x + d*k*m + d*m*x**2 - k*m*x + 2*m*x**2 wrt d?\nAnswer: -12*k*m*x**2 + 57462*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1735*i + 1739*i - 4*f + 5*f + 3, f = -0*i + i + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1)*(2\/90)\/(6\/(-30))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 8*g + 31 = -4*h, g = 4*h + 19. Let n = g - 11. Is 2\/n + (-2715)\/(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 935826 is divided by 119.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2. Let d(g) = -10*g + 51. Determine d(j(n)).\nAnswer: -20*n**2 + 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2330825686?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201068667 is divided by 1948.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17089*l - 34186*l + l**3 + 17097*l.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/55 and (-226)\/(-80) + 8*3\/(-60)?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**14*m\/m**(-10))\/((m**(2\/3)*m*m)\/(m**(-2)*m)) assuming m is positive.\nAnswer: m**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42948 is divided by 5163.\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 197165459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2475 divided by -5?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = t + 9, 9 = 6*t - 2*t - 5*h. Calculate the greatest common divisor of 18 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 5*c**2 + 8*c + 11. Is v(-5) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*w - 0. Let y = -559731 + 559726. Which is the fourth smallest value? (a) w (b) -1.1 (c) 4 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.09 and 20.47.\nAnswer: 1.8423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 - 0 - (5 + -4). Suppose 2*p - 12 = -4*a, 3*a - t = 3*p + 12. Suppose -b = -2*b + a. Solve b*x + 4*w = -4 - 4, -5*x = -4*w - 8 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -4*b - 41, 3*c - 2*b + 11 = -0*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**2 + g**3 - g + 4*g - 8 - 7*g**2. Let q be ((-126)\/35)\/(2\/(-5)). Is a(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11\/(-7) - (0 - 1). Let k = 5 + -6. Let p = k - -5. Which is the nearest to 2\/3? (a) l (b) 4\/7 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2781?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*p = 41*p - 20. Let m = 0.035 + 4.665. Let x = 0.3 + m. Put p, x, -2\/7 in decreasing order.\nAnswer: x, -2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331884997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 5*u - 101 = 0, 1068*j - 10*u = 1073*j + 220 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 4 + 0*q + 0*q**4 + 2*q**2 + 0*q**5 + 1\/3*q**6 + 0*q**3. What is the second derivative of s(n) wrt n?\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -12, 207, 696, 1545, 2844, 4683, 7152?\nAnswer: 10341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -10. Let v be (1 - -1) + p + 2. Solve v = -3*l - 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12391 is divided by 21.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 - 9*v + 4. Let x be d(4). Is 13\/22 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1224346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1440*a + 9 = 1443*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10030114111 (base 5) to base 9.\nAnswer: -20737257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -4 + (8 - -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 100 = 2*x. Suppose -2*j + 3*h + x = 0, 0*j = -2*j - 4*h + 34. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5852173 to the power of 1\/2, to the nearest integer?\nAnswer: 2419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 + 18\/(-3))*2\/4. Find the second derivative of -966*t**2 + v + 964*t**2 + 3 + 32*t**5 - 10*t wrt t.\nAnswer: 640*t**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -5*t + 12, 4*t = -w - 4*w + 13 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 414\/(-483)*14\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/126 and (-7288)\/10080 - 12\/(-20).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15934358.69 to the nearest 1000.\nAnswer: -15934000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**4\/9 - 466*z**3\/9 = 0. Calculate z.\nAnswer: -233, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seven quarters of a millisecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -s + 816, 5*k + 2569 = 5*s - 1636. Is s a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264.279456 microseconds in weeks?\nAnswer: 0.00000000043697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32.85 + 33. Which is smaller: 1\/5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 788845 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -3.4 (b) -35 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 12*c + 4. Suppose 0 = -a - 3*a - 8. Let z be l(a). Let r be (z\/(-12))\/((-15)\/(-54)). Solve -r*b = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and -3239717344?\nAnswer: 3239717344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 680823, 680814, 680805, 680796, 680787?\n\"Answer: -9*d + 680832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -7. Let w be 3 + (t - (3 - 0)). Sort -1, 4, w in increasing order.\nAnswer: -1, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3167*f - 25348. Determine u(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -3*b + 3, 3*c + 2*b = -2*b + 4. Suppose 3*r = 18 - c. Solve n - r*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2115\/(-329))\/((-23)\/161).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160438 is divided by 9144.\nAnswer: 4990","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -599826 or -599995?\nAnswer: -599995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -674 + 689. Let l = -12 + p. Solve 3*q - q - l*f = -8, -8 = 2*q - f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -21*g + 5 + 14*g + 8*g. Let o(w) = 1. Give d(z) - 5*o(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x + 3*x + 1 - 2*x. Let v be i(-2). Let z(f) be the third derivative of f**4\/24 + 2*f**2. Calculate z(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 9:25 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15857 - 4*q**3 + 15857.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -4 + 3 + -1 + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11701649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -8 - (21 + 0) - (-2214 + 2297)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p. Let i(v) = -v**2 + 2*v. Suppose -4*j - 37 = -5*b, 0 = -2*j - 0*j + b - 11. Let y(w) = -2*w**2 + 3*w. Let z(f) = j*i(f) + 2*y(f). Give c(z(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -8. Let c be 40\/30*(-135)\/(-18). What is the highest common divisor of y and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g. Let z(w) = 266*w - 5210. Determine o(z(h)).\nAnswer: -532*h + 10420","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 14*v + 17. Suppose 3*m - x + 28 = 0, -m + 5*m = -5*x - 31. Let t be q(m). Let s = t - -21. Is s equal to -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*p**3 - 118*p**3 + 65*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**4 + 2*d**4 - 3*d**4 + (-4*d**3 + 2*d**3 + 0*d**3)*(2 - 2 - d) - 7*d**4 - d**4 + 4*d**4.\nAnswer: -7*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-1 + (-4 - -10) + 1 + -19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.76 * 304.3\nAnswer: -231.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 7:12 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.9 + 11.1. What is the nearest to r in 0.3, 0, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31216764 to the power of 1\/2, to the nearest integer?\nAnswer: 5587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 17\/((-595)\/42)*-10. Suppose -19*b = -23*b - l, -d - 3*b = 2. Let y(o) = o**3 - 6*o**2 - 5*o - 5. Calculate y(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 290299, 290301, 290303, 290305?\nAnswer: 290307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 517*v**2 - 6061*v + 6061*v + (0 - 3 + 4 - v)*(-v + v + v).\nAnswer: 516*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*f**4 + 2*f**3 - 2*f - 572 wrt f.\nAnswer: -36*f**2 + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 - 711*l + 708.\nAnswer: 3*(l - 236)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1834075853 to the nearest integer?\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t\/(t*(t*t\/(t**12\/t))\/t))\/t*t))\/t*t\/(t\/(t\/((t**(-1\/13)*t)\/t))*t)*(t*(t\/(t**(-3\/2)\/t))\/t)**(-4\/23) assuming t is positive.\nAnswer: t**(-3149\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47? (a) -0.1 (b) 2 (c) -1 (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*x - 4*x, 0 = -4*c + 3*x + 1. Let m be -1 + (2 - c) - -2. Factor 0 - r + 1\/2*r**m + 4*r**3 + 5\/2*r**4.\nAnswer: r*(r + 1)**2*(5*r - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64*z + 113*z + 143*z)*(5*z - z - 2*z) - z**2 + 3*z**2 - z**2.\nAnswer: 385*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/(t*t**2)*t*t))\/(t\/t**(1\/4)*t)*(t\/(t*t*t*t*t**(-10)))\/(t\/(t**(-11)\/t)) assuming t is positive.\nAnswer: t**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.79, -7, 24?\nAnswer: 0.79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of t + 0 - 7\/24*t**4 - 1\/12*t**5 + 1\/120*t**6 + 4\/3*t**3 + 9\/2*t**2. Let l(o) be the first derivative of u(o). What is l(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/8)\/((-60)\/40). Let j*h**3 + h**2 - 3\/2*h + 0 = 0. What is h?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1673.\nAnswer: 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (98 - 79 - (15 + -1)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n + 3*n - 2148386 - 246999 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24762017 (base 8) to base 2.\nAnswer: -10100111110010000001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-276)\/336 - (-2)\/8. What is the nearest to 0.1 in w, 6\/11, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 387, 228, -337, -1512, -3501?\nAnswer: -6508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -392, -4.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 11*i - 2*i - 2 - 8*i. Suppose -3*f + 14 = 3*d + 8, -2*f + 4*d = -34. Let x be w(f). What is the highest common factor of 25 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from uuuaaauaaaa?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 800*s**2 - 560*s\/3 + 98\/9 = 0. What is s?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10330000 rounded to the nearest ten thousand?\nAnswer: -10330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 96\/128 - (-2)\/8. Suppose 0 = 2*j + 2, 3*i + 4*j + l - 6 = 0. Sort i, -28, 5, -4.\nAnswer: -28, -4, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**2. Let n(z) = -2*z**2. Let m(t) = -4*n(t) - 3*u(t). Let p(s) = 2*s**2. Determine p(m(r)).\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*j + 14, 0 = -4*z + 39*j - 40*j - 14. What is the remainder when 234 is divided by (-314)\/z + ((-5)\/(-10) - 0)?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14774 (base 9) in base 7?\nAnswer: -41323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 60 = -5*y, -3*y - 80 = -8*y + o. Suppose 0 = 31*u - 16*u - y. Which is bigger: -3\/28 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -934411 - -144409. Let o be z - ((-8)\/(-4) - 7 - -3). Round o to the nearest 10000.\nAnswer: -790000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 0.03, -10 in descending order.\nAnswer: 4, 0.03, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10753050 to the power of 1\/2, to the nearest integer?\nAnswer: 3279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(1\/(-3)*3). Factor -1\/4 - 1\/4*v**r + 1\/2*v.\nAnswer: -(v - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 275.57 - 1564.87. Let z = 1003 + m. Let t = 257 + z. Round t to the nearest integer.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -18284164*g. Let r(y) = -3*y**2. What is r(p(j))?\nAnswer: -1002931959536688*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76221332 is divided by 2144?\nAnswer: 2132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48726 = -3*d + 16272. Let y = d + 19434. Let t = 4116 - y. What is t rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, f: 9}. Give prob of picking 1 f and 1 n.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 18 = 5*b + 1, -b - 105 = 5*h. Let c = 11 - h. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95 divided by -109.\nAnswer: 95\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from zzzzzzzzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*2\/(-10))\/(1418225\/301750)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l**1*l)\/l)\/l)**(3\/4))**15 assuming l is positive.\nAnswer: l**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 222822120 rounded to the nearest 1000000?\nAnswer: 223000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*c - 2*s + 4, -2*c = -2*s. Let g(d) = 4*d - c*d - d**2 + 0*d. Let u(i) = 14*i. What is g(u(b))?\nAnswer: -196*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 5 + 0*p + 3*p.\nAnswer: 3*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrlooolpvoronvnoovnn. Give prob of sequence nl.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of r**2 + 27550*r - 111033?\nAnswer: 2*r + 27550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-1 - 30)) + (-19 - (28 + (26 - 82))).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -2. Let m(a) = a - 1. Let x be m(1). Factor -4*n**5 - 4*n**5 + 6*n**5 - 2*n**s + 2*n**3 + x*n**2 + 2*n**4.\nAnswer: -2*n**2*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -18*l**3 - 2*l**2 - 2*l - 1. Calculate the remainder when 66 is divided by n(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -538246 = -79*f + 1318697 + 3414490. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 10*c - 2. Let n(x) = -3*x + 1. Let b(o) = -14*n(o) - 4*z(o). Let r be b(6). Calculate the highest common divisor of r and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 5*a + 6. Let t be u(-4). Suppose -t*y = -7*y + 175. Let p = 74 - y. Is 13 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.06, 0.2, -7, -15475 in decreasing order.\nAnswer: 0.2, 0.06, -0.3, -7, -15475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -366, -1\/6?\nAnswer: -366","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.2 and 1823774924299?\nAnswer: 1823774924300.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 391, 437, 565, 817, 1235, 1861, 2737, 3905?\n\"Answer: 7*l**3 - l**2 + 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 9*b**2 - 82*b + 7. Let i be l(9). Suppose 29 = -5*u + 4*q, -q + 3*q + 18 = -4*u. Sort i, u, 22.\nAnswer: u, i, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1013213 (base 7) to base 15\nAnswer: 25d92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*q + 36*q + 86 + 9*q.\nAnswer: -9*q + 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -760, -3.9, 0.6, 5\/6, -15 in increasing order.\nAnswer: -760, -15, -3.9, 0.6, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3373 - -3381. Let o(h) = 2*h**3 + 3*h**2 - 2*h. Let n be o(-2). Which is the biggest value? (a) 2 (b) g (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) - -2*sqrt(24)*4)\/(sqrt(128)*1 - sqrt(8)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*y + 2. Let a be (-5 + 3)\/y - -230. Calculate the highest common divisor of 29 and a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -5*r**3 + 307090*r**2 - 219764165*r + 39549817080 = 0.\nAnswer: 361, 60696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14781 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3919*11\nAnswer: -43109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*x**3 - 2*x**2 - 2591*x + 42149 wrt x.\nAnswer: 6*x**2 - 4*x - 2591","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, c: 1, i: 2}. What is prob of picking 1 p and 1 c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1075800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-45)*15\/170?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*s = 18, -s - 1 = 2. Let b = 19 - o. What is the lowest common multiple of b and (-52)\/65*45\/(-2)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 6*f - 6. Let v(x) = -1764*x**2 + 5 - 3*x + 1763*x**2 - 2*x. What is -3*a(t) - 4*v(t)?\nAnswer: 4*t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 235 = -3*w, -w + 5 + 228 = 4*m. Let q = 4338 - 4390. Let h = m + q. Solve h = 5*b - 19 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 8*s + 4*s**2 + 3 + 1\/3*s**3. What is the units digit of x(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -135*y**3 - 825*y**2 - 80*y + 60 = 0.\nAnswer: -6, -1\/3, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 9*p - 11. Let q(c) = 5*c - 5. Let a(h) = -3*f(h) + 7*q(h). Let x be a(-6). What is the common denominator of 90\/(-16)*(-2 + (-55)\/x) and 139\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-16) - 55890\/(-40) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8935441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -168.558 take away 0.05?\nAnswer: -168.608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 + 2.5. Let t = -6 + v. Which is the second biggest value? (a) 1\/2 (b) -2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2293288 is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4140 - -6119. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/70 + (-1)\/((-10)\/(-18)). Let h = 1 - b. Solve 9 = 6*v - h*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 15*o + 59. Calculate k(-11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/4080 and -67\/8976?\nAnswer: 44880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 74840609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2629 - -2849. Calculate the greatest common factor of 820 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i - 5. Let u be t(-4). What is k in 0 - 15*k**u - 2*k**2 + 0 - 16*k**5 + k - k**4 + 33*k**4 = 0?\nAnswer: -1\/4, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 198\/(-28)*(-12070)\/(-66385)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/4*(15\/(-153))\/((-450)\/(-270))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 165578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2362 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + (sqrt(77) - (sqrt(77) + sqrt(77) + -2*sqrt(77) + sqrt(77))))*5)\/(2*sqrt(275)).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*t**3 + 0*t**3 + 34*t**3 - 68*t**3.\nAnswer: -99*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/4)\/((-3087)\/(-882))*-1?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10056507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2122 (base 10) to base 11\nAnswer: -165a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -2.1616.\nAnswer: -1.0808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(-460)\/(-46368)*-35.\nAnswer: 25\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-2497)\/(-77) + (-42)\/(-6))\/((-2)\/(-42)) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2 - 2 + 2*j**2. Let i(m) = 2*m**2 - 3*m. Let y(u) = 6*u**2 - 10*u. Let p(c) = 10*i(c) - 3*y(c). Give p(b(l)).\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 8*v = -520. Suppose 4*f = 5*u + v, -2 - 27 = -f - 3*u. What is the highest common divisor of f and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 6. Let n(v) = 2*v**2 - 13. Let b(y) = -13*d(y) - 6*n(y). Let p be 9\/(-3) + 3 + 2. Let t(x) = 0*x**2 + 3*x**p - 4*x**2. Calculate b(t(g)).\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12011 (base 3) in base 14?\nAnswer: -9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -219, 16, 1, 4 in decreasing order.\nAnswer: 16, 4, 1, -2, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.064 - -0.236. Let v(w) = w**2 + 9*w + 5. Let s be v(-9). Suppose -4*o + s = o - r, -3*o - 3*r = -21. Sort o, 1\/4, t.\nAnswer: 1\/4, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(13\/6))\/(z\/(z\/(z**(2\/77)\/z))))**(9\/7) assuming z is positive.\nAnswer: z**(5739\/1078)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -4. Suppose 6 = 4*t - q*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 3*u**2 + u + 4. Let k(j) = j**2 - j - 185. Let y be k(14). Let l(m) = 2*m**2 - m - 4. Suppose 2*p = -5*p - 14. What is p*c(v) + y*l(v)?\nAnswer: 2*v**3 + v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-318)\/(-21) + (-1)\/7. Let l(n) = 0*n + 9*n - r*n + 10*n. Let w(t) = -3*t + 5. Let s(y) = -10*y + 16. Let m(p) = -5*s(p) + 16*w(p). Calculate m(l(c)).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 197447\/5 - 39490. Which is the third biggest value? (a) k (b) 64 (c) 2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -3*d. Suppose 0*r - 36 = -4*r. Suppose d = -y + r - 2. What is the lowest common multiple of 5 and y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*w - 4*w + w + (3 - 4 - 1)*(w - 4*w + 2*w).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrlrlllrlllrrrrrlllr. What is prob of picking 2 r?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**2 - 5*j**2 + 338*j**3 - 339*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8800.16 + -114.\nAnswer: 8686.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.2 + -8.3. Let q = 0.05 - 0.55. Let u = q + m. What is u rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 719 (c) -5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 45, 0.2 in descending order.\nAnswer: 45, 5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000421 to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243 = -5*m + 2*u, -3*m - 4*u = -5*m + 94. Is m a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - sqrt(52)) + 2 + (sqrt(156)\/sqrt(3))**2 - sqrt(156)\/(2*sqrt(12)*-2).\nAnswer: -3*sqrt(13)\/4 + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 35\/(-10)*(80\/84 - 1). Find x such that -o*x - 1\/6*x**3 + 0 - 1\/3*x**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 365 - 364.6. What is the second biggest value in n, -0.2, 37?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2 + 67*b - 2. Let h(t) = -2*t**2 + 66*t - 2. What is 3*h(d) - 4*k(d)?\nAnswer: 2*d**2 - 70*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 715 = -2*m + 725 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/3 or -13?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 610 is divided by 44.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 26 = -4. Let h = -5 - n. Let o be -2*(14\/(-4) - -3). Calculate the greatest common divisor of o and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0326609 times -0.011\nAnswer: -0.0003592699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -2 - -33 - (1036 - 1033).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -135357893493923 plus 0.2?\nAnswer: -135357893493922.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -5\/8 (c) -462485\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -347613 divided by -1?\nAnswer: 347613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2784008249?\nAnswer: 11, 349, 443, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 375148787 divided by -1?\nAnswer: -375148787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, t: 2}. Give prob of sequence ttu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 265, 465, 637, 823, 1065, 1405, 1885, 2547?\n\"Answer: 7*s**3 - 56*s**2 + 319*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/240 and -19\/440.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16507946, 16507948, 16507952, 16507958, 16507966?\n\"Answer: r**2 - r + 16507946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6756298*z**4 - 10432435.\nAnswer: 27025192*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 6 + 88\/(-12) - 244\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 divided by 1?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2392, 20170, 68418, 162370, 317260, 548322?\nAnswer: 870790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2326 a factor of 51092916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.6 - 6. Let s = 59 - 59.2. What is the third biggest value in -3, s, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.025*-5.\nAnswer: 0.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-168 - -85) + 63 + -11.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-14))\/((m*m*m*m\/((m**(1\/2)\/m)\/m)*m)\/m)*(m**(5\/2)\/m)\/m**(-4) assuming m is positive.\nAnswer: m**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -163 - -159. Let l be (-65600)\/(h - (-198)\/50). Round l to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -6, 2, 0.03, 2\/319, -4, -3\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2884448 divided by 28?\nAnswer: 103016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 254193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 5.6. Let s = 314 + -1279. Let a = s - -11575\/12. What is the fourth biggest value in o, 2\/5, a, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(1080)*-4 - sqrt(1080))\/(sqrt(96)*3))**2.\nAnswer: 5*sqrt(5) + 129\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + h - 69 = -57, -j + 14 = 3*h for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -80176*u**2 - u + 44128 wrt u.\nAnswer: -160352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -40*j**6\/3 + 116*j**3 + 311*j. Find the second derivative of q(v) wrt v.\nAnswer: -4800*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 590330609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -42489 + 41?\nAnswer: -42448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4037 + -4037.0000003462. Round x to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.707 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/9 and 521 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-6)*0\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3 = -2*j + 4*j, -2*y = -2. Suppose j*h - 4*h = -w - 1, 0 = h - 2*w - 9. Let g be (-7)\/h + 3 + -2. Solve 0 = -g*a + 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39.5 + -55.5. Let q = 20 - 32. Let x = q - g. What is the second biggest value in x, -1\/2, -5, 19?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-30)*z\/(z*z**(-28)))\/(z*z**(2\/11))**34 assuming z is positive.\nAnswer: z**(207\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 150 divided by -22\nAnswer: -75\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/3*(-309)\/206.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-504)*-33*5*20*15\/8250?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -3, 1\/4, 5106?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11022101 (base 3) to base 15\nAnswer: de7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*j + 126 = 24*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 + 3)*(6*g**4 - 3*g**4 - 23*g**3 + 25*g**3) to i + k*g**4 + q*g**2 + r*g + s*g**3 and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*t - 42*t + 160*t - 41*t - 28*t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-315)*33\/(264\/56)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 411250*y**2 - 7238. Let h(m) = 341*m**2 - 6. What is 7238*h(j) - 6*o(j)?\nAnswer: 658*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -95? (a) 0.01 (b) 2\/7 (c) -0.4 (d) -0.06 (e) 0.05 (f) 274\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(133) + sqrt(133)*-1) + (sqrt(133) + -2*sqrt(133) + sqrt(133) - sqrt(133))*5 + sqrt(133))\/((-1*sqrt(56)*-4)\/sqrt(8))*-3.\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57591.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 12 = 3*v. Put -5, v, 6, -4 in descending order.\nAnswer: 6, v, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*m = -28, 2*m = 4*b - 29 - 3. Let v = 138 + -112. Calculate the remainder when v is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 181*d + 162. What is the remainder when a(4) is divided by 74?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99635 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 321187 to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 234700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5204 is divided by 84?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -299, -1025, -2451, -4811?\nAnswer: -8339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 652464*5\nAnswer: 3262320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**2\/3 + 17492*h - 114738774 = 0. What is h?\nAnswer: 13119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1016550579 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -63, -33, -5, 21, 45?\n\"Answer: -t**2 + 33*t - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 7:54 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b + 6*z - 4*z - 4, -5*b = z - 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1aa + -2273b7?\nAnswer: -22720a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 10:00 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -6*(sqrt(11) + 0 + 4 - sqrt(11)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -5*j + 54. Suppose j*a - 30*a + 7 = 0. Suppose -4*k - 15 = -p, 2*k - 4*p + 8 = -k. Sort k, -2, a in descending order.\nAnswer: a, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/4, 0.2, 4, 1.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 409*v**4 - 9*v + v**2 - 2*v**3 - 408*v**4 + 9*v - 6 as t*v + a*v**4 + p*v**3 + m + u*v**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 43. Solve -5*z = -5*y - 0*y + 30, -5*z = 3*y + x for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 1651, 0, 2.656?\nAnswer: 1651","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 22, -0.12, 1\/3, 2\/7, -1\/80, 1\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**2 - 5*r + 9. Let i(y) = -y**2 + 2*y - 4. Calculate -9*i(x) - 4*v(x).\nAnswer: -3*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2481327 + -69426187\/28. Let x = i + -1822. Find the common denominator of 31\/16 and x.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 22*k + 34. Determine c(-7).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r. Let i(m) = -3 + 2372*m + 2330*m - 4700*m. Let d = 1 + -2. Calculate d*i(f) - 3*q(f).\nAnswer: f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 131 - 2112?\nAnswer: -1431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (23 - 19 - ((9 - (5 + 4)) + 35))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004552101987 to six decimal places.\nAnswer: 0.000455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 7*u**2 - 11. What is the units digit of t(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1531572 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 2.2 in descending order.\nAnswer: 2.2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 136 or -10082?\nAnswer: 136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + 24\/(-4))\/((-1)\/4). Let u(o) = 631 - 631 + 15*o**2 + m*o. Let a(p) = -p**2 - p. Give -36*a(x) - 3*u(x).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 377835 - 377758. Let t(s) = s**2 - 3. Calculate the remainder when w is divided by t(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4373509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/9)\/(-1)*(-108)\/(-48)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (114 - 1) + 81 + 9 + -117.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**6\/120 - u**5\/40 - u**4\/6 + 2*u**2. Let z(r) be the second derivative of w(r). Is z(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 6*w**2 + 5*w - 9. Let a be x(6). Solve -6 + a = -5*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -n*x**3 + 2*n*x**2 + 3*n + 30288*x**3 - 54542 wrt x.\nAnswer: -3*n*x**2 + 4*n*x + 90864*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 401680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -242.06 - -241. Let j = q + 0.66. What is the nearest to -0.1 in -3\/8, 7, j?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3154822 divided by -286802\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 11.8, -7, 3, -3\/8, 0.2 in decreasing order.\nAnswer: 11.8, 3, 0.2, -3\/8, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 3*r + 36. Let d = -3 + 12. Suppose 0 = -3*h + 3*x - 6*x + 9, 2*h + 5*x = d. Calculate the remainder when r is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*y - 35*y - 1170 = 0. Suppose a - y = -a. Let x = -130 + a. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 8 = 25. Let o be f\/(-6) + (-5)\/(-30). Factor -9\/2*a + 3\/4*a**o + 27\/4.\nAnswer: 3*(a - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -1\/40*k**5 + 1\/4*k**4 - k**3 + 2*k**2 + 3 - k. Let t(o) be the first derivative of b(o). Let t(g) = 0. What is g?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*o**2 - 51*o**2 - 35*o**2)*(-1 + 2 + 7)*(2 + o - 2)*(-4 + 4 + 2)*(5 - 1 - 2).\nAnswer: -3776*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) 0.5 (b) 4 (c) -3 (d) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -6*u - 2. Let g(v) = -33*v - 8. Let c(j) = 2*g(j) - 10*t(j). Calculate c(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -69115\/6 and -11518 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1038297.5 - -666897.\nAnswer: 1705194.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 13*i - 4128. Suppose -2*l + i = 6*l. Suppose 0 = -3*t - h + l, 2*t - 53 = 2*h - 19. Solve 3*n = -5*m + 23, -5*n + 0*m + 5*m - t = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1219750.\nAnswer: 2, 5, 7, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6577*p = -6447*p + 390 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 616717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/21 (b) -65 (c) -0.3 (d) 0.3 (e) 0.1 (f) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -6. Let b(f) = -f**2 - f + 1. Let g(z) = 4*z**2 + 4*z - 5. Suppose 5*h + 4*n - 13 = 0, h + 2*h - 3*n = -3. Determine h*g(k) + r*b(k).\nAnswer: k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m**2 - 9*m + 6*m + 7*m - 5*m**2 to the form i + z*m + o*m**2 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - 2*x - 1. Let y(s) = -s**2 - s + 1. Let p(q) = -q**3 - 7*q**2 - 6*q - 4. Let v be p(-6). Let a be (v - 1)\/(95\/(-38)). What is a*y(n) - c(n)?\nAnswer: -n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1992 + -2012.025. Let i = n + -0.975. Let q = 0.03 - 0.43. Put 1, q, 1\/7, i in ascending order.\nAnswer: i, q, 1\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 - -10101010110110?\nAnswer: 10101010111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 88608.7 rounded to the nearest ten?\nAnswer: 88610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v**2 - 577 - 545 + 1164 to y*v**2 + n + b*v and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00047769715 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 - (-1 - 3) - (-1 + 0) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 440\/28 - (8\/(-14))\/2. Suppose -4*f - n + 6 - 2 = 0, 3*n = 2*f - p. Let s = 351\/5 + -70. What is the second smallest value in f, -0.2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 234 + -94. What is the lowest common multiple of x and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -bc4?\nAnswer: bc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 86634, 1097, 1, -2 in decreasing order.\nAnswer: 86634, 1097, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3723861376*d**3 + 1861930692*d**3 + 1861930687*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (6*(1 + (-1 + sqrt(80)*2)*4))**2.\nAnswer: -6912*sqrt(5) + 184645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/52)\/((-312)\/1014). Which is the second smallest value? (a) -3\/11 (b) -4 (c) r (d) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 - 418725 - 57*s + 418735 + 2*s to h + g*s + v*s**2 and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140, 135, 126, 113, 96, 75?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxxxdeeedx. What is prob of picking 1 x, 1 d, and 1 f?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 10:25 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 5*k = d - 17, -2*d + 2*k - 6 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -3, -28, -2 in decreasing order.\nAnswer: -1, -2, -3, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -108 + 31. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14782, 31030, 47292, 63574, 79882?\nAnswer: 96222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**4\/m)\/m)\/(m*m\/(m*m\/(m*m**(3\/2)*m))))\/(m\/m**(1\/9)*m**(-15)))**(-38) assuming m is positive.\nAnswer: m**(-4313\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -357540\/13919 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -1 + (-1016)\/2032)*(-52)\/3\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10146*f**3*r**2 + 29*f*r**2 + 6*r**2 - 837506*r with respect to f.\nAnswer: -30438*f**2*r**2 + 29*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 0*u + 5 + 0*u**3 + 7\/4*u**4 + 2*u**2. What is the second derivative of a(m) wrt m?\nAnswer: 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60 - -13. What are the prime factors of h?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45780 - 69118 = -8*u + 91742. What are the prime factors of u?\nAnswer: 3, 5, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 7*p**9\/72 + 11*p**6\/120 + 1779*p**5\/20 - 8*p**2 - p - 112. What is the third derivative of x(k) wrt k?\nAnswer: 5880*k**3 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -113327?\nAnswer: 113333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 552 and 6256.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -12*f**2 - 3*f - 2. Let d(l) = 35*l**2 + 8*l + 5. Calculate 3*d(x) + 8*y(x).\nAnswer: 9*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 12 = 4*h, -5*n + 8 = 4*h + 4. Let o be 6\/4*n\/3. Let k be ((-16)\/(-4))\/(-8)*-2. Is o > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*f = 8 - 21 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d**2 + 24*d + 10. Let y(f) = f**2 - 5*f - 2. Calculate 3*l(s) + 14*y(s).\nAnswer: 2*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 19709880.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 6*z - 5. Let f be (-10)\/(-25) + 64\/(-10). Let u be a(f). List the prime factors of 88\/((-10)\/u - 1).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 325410331 to the nearest integer?\nAnswer: 18039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262685 = -13570*w + 819055 for w.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -8*i**2. Let q(z) = 41*z - 3. Calculate v(q(w)).\nAnswer: -13448*w**2 + 1968*w - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + -1*sqrt(243) - sqrt(243))**2*-1 + 2*(2 + sqrt(243) + 1) + 1.\nAnswer: -966 + 54*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56 - -58.71. Let l = y + -2.21. Let f = 8 + -9.5. What is the third biggest value in 0.3, l, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1087\/21 - -154\/3. Let m = -429.5 + 429. Which is the second smallest value? (a) 3 (b) p (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -4, -0.2, 40?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 305*f - 6247. Give d(19).\nAnswer: -452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/17 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 25625*q**3 + 6*q. Let c be b(8). What is c rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/((3*sqrt(324) - sqrt(324)) + sqrt(324)))\/(-6*2*sqrt(1584) - sqrt(1584)).\nAnswer: -sqrt(2)\/2808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-1)*20\/300)\/((-1)\/10). Solve -r*j = -12*j + 40 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 203 and 2378.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 4 + 1. Let g = 0 + t. Let h = 0 + g. Does h = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6*n**2 - 4*n**2 - n**2 + 9*n - 9 + n**2. Is h(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4\/5 + -3\/10. Let z = -0.09 - -0.39. What is the smallest value in -2\/11, z, x?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.47860828 less than -6?\nAnswer: -9.47860828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0. Suppose -2*v + v + 39 = s. Let w = v + -17. Solve 2*b = -4*j - 4, -5*j + 4*b - w = -4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-18) + (4\/(-46) - 92\/(-25392)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*d - 63 = -196*d - 3*z, 26 = -3*d - 2*z for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 41.78538ug?\nAnswer: 0.00000004178538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -10. Suppose -4 = -s, d*j - 3*s - 13 = -j. Suppose -2*f = 3*k - 1, j*f - 51 = 2*k - 20. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 960 and 4119870.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*r = 14, -l - 10 = -5*l + r. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5799 - -5804. What is the nearest to s in -5, 50, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -17*q + 418. Calculate m(21).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, x: 6, s: 2, o: 1, q: 2}. Give prob of picking 1 s and 1 u.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 951779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/11*23\/(-276)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 15*p + 4 = 0. Suppose -5*q + 27 = 5*k - 3*k, -18 = -p*k + 2*q. Solve 8*b - 2*b**3 - 4*b**2 + 0*b**3 - 8 + k*b**2 = 0 for b.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, w: 1, g: 1}. Give prob of sequence gw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of o**2 + o - 5. Let j(z) = 8*z + 4. Let v(y) = -6*j(y) + 26*l(y). Find the first derivative of v(x) wrt x.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10917*x + 5626 - 5626 to d*x + g and give d.\nAnswer: -10917","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13749)\/(-15) + (-1 - (-7)\/5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(25\/(-10) - -3) - -1. Let f(a) = a**2 - 4*a + 4. Let j be f(t). Solve -5*i - 10 = 3*g, 0 = -4*g - j*g - 4*i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -69?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-16)*(-2)\/12*-3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**5\/30 - 19*z**2 - 5. Let x be r(4). Calculate the highest common divisor of 272 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1459*a**3 - 1640*a**3 + 3581*a**3.\nAnswer: 482*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 3*t**5\/20 + 3*t**4\/4 - 4*t**3\/3 + 7. Let m(d) be the third derivative of a(d). Differentiate m(k) with respect to k.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7028455 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 0*c - 1\/60*c**5 - 5*c**2 + 0 - 1\/3*c**3 + 1\/6*c**4. Give a(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -30*z**2 + 2*z. Let s(x) = 4*x. Give y(s(l)).\nAnswer: -480*l**2 + 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/(-56))\/((-57)\/1140))\/((-2)\/14)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 - 21. Let j be s(6). Suppose 64 = 5*g - j. What is the remainder when 85 is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c - 1. Suppose -4*v - 84 = 2*s, 2*v - 5*s - 63 = 5*v. Let u be z(v). What is the second derivative of u*a**5 + 28*a + 10*a - 5*a wrt a?\nAnswer: 400*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (305193\/(-7920))\/7 + 3. Let s = r + 23\/240. Calculate the common denominator of 3\/16 and s.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 8 = -0*d. Sort 7, -2, d in decreasing order.\nAnswer: 7, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 l when three letters picked without replacement from loiloooilolll?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + 5*z - 6*z)*(z**3 + 0*z**3 - 3*z**3)*(2*z + 0*z - z).\nAnswer: -4*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 + -59. Let i = 33 + j. Suppose 4*b = 2*x + 2*b - 46, x + 2*b = i. Is 19 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 2. Let s = y + -1. Is 1\/s - 5346\/(-24) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55.000685 - -55. Round x to 5 dps.\nAnswer: -0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1226515872.\nAnswer: 2, 3, 12776207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -23*j**2 - 11*j - 11. Suppose 4*p = p + 33. Let g(q) = 12*q**2 + 6*q + 6. Let c(n) = p*g(n) + 6*o(n). Let i(m) = -3*m**2. Determine -3*c(l) + 5*i(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 6*w**3 + 5*w - 1. Let d(z) = -7*z**3 - 6*z. Let p = -307 - -297. Let q be 0 - 10 - 2*p\/4. What is q*d(m) - 6*t(m)?\nAnswer: -m**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -109*r + 5074. Is s(-157) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 18 = 4*y, 7*r - 2*r - 4*y = 138. Solve -5*g - k - r = 0, -2*g = k + 10 + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -2425331410?\nAnswer: 2425331401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35758 - -42558. What is the greatest common divisor of p and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, -8, -3, 5, -5 in decreasing order.\nAnswer: 5, -3, -5, -8, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/((-1178)\/(-341)) + (-1)\/(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.447975 to 2 decimal places.\nAnswer: -2.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from whwhwwwhwwwwww?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9346753*t**5 + 1193*t - 2029 wrt t.\nAnswer: -186935060*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1137353*c + 5 - 5 - 221*c**3 - 1137353*c.\nAnswer: -221*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31147 is divided by 7774?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3670\/51 + 72. Suppose -38*d = -31*d. Which is greater: x or d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*o**2 + 0*o**3 + 3*o**3 - 14*o**2 - 3 + 4*o**4 - o - 3*o**4 as t + x*o**3 + a*o**4 + g*o**2 + f*o and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 76, 142, 266, 460, 736, 1106?\n\"Answer: 2*j**3 + 17*j**2 + j + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = -0*h + 35. Let m(y) = y**2 - 20. Let z be m(h). Suppose 12 = -z*f + 8*f. What is the highest common divisor of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -68*p**2 + 11565*p - 862. Give v(170).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133 - 20?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -17*z**3 + 2*z**2 + 6*z - 1. Let y(h) = 16*h**3 - 2*h**2 - 5*h + 1. Let q(m) = -5*n(m) - 6*y(m). What is q(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3612734*v - 18063675. Determine y(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5367103 (base 8) to base 9.\nAnswer: 2630475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -694874*j**4 - 182132072 wrt j?\nAnswer: -2779496*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + -1. Let z = 127.5 - 127. Which is the closest to 1? (a) t (b) z (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 28 = 4*n, 3*y = -4*n + 2*n - 19. Suppose -20*h + 15*h = 0. What is the tens digit of (y - -96) + 2 - (h + 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 110 - 51. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32 - 1?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(3 + -4) + -3 + 9. Let b be (-10)\/(1 - g) + (1 - 1). Solve b*a - 5*d - 14 = 0, -2*a = -5*a + 3*d + 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -42*u**2 - 958*u - 37. What is p(-22)?\nAnswer: 711","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/8357 and 3\/7747.\nAnswer: 1061339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 71149386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -0 - 36. Calculate the remainder when 23 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 8*i**2 + 391*i - 2322. What is n(6)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -119 (b) -1\/4 (c) 55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1297 - 48 + 105)*(3 + 2*m - 3).\nAnswer: -2480*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 2*o**2 + 3*o - 3. Let y be (3 - 5)*3\/(-2). Suppose -4*s - y*b + 5 = 0, 4*s + 0*s - 12 = 4*b. Let p be z(s). Solve -p*g = 2 + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(8) - (sqrt(8)*4 + sqrt(8)) - sqrt(8)) + -1.\nAnswer: -1 - sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3712\/(-512) + 8*(0 + 1)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1227, -1234, -1241, -1248?\nAnswer: -1255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2654715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2265465127 minus -44.5377?\nAnswer: -2265465082.4623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 6.1. Let r = 6 + -15. Let o = r - -11. What is the second biggest value in 5, o, m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 4 = -3*n, 3*k - 3 = n. Suppose -k*u + 3*v + 12 = -3*u, 0 = -v - 5. Solve 3*c - u = -0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*f + 5*d, 5*f + 0*d = -3*d + 6. Suppose 0*y = f*y + 15. Let s = -213.1 + 213. Put 0, 0.07, y, s in increasing order.\nAnswer: y, s, 0, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-5))\/(25\/(-75))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 765096.6 hours in milliseconds?\nAnswer: 2754347760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2, 0.04, -0.08, -7?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2*c**2 + 0*c**2 + 0*c**2 + c**2 + (0*c - 6*c + 5*c)*(-2*c + c - c) + (3*c + c - 5*c)*(0*c + 0*c + 2*c) + (46 + 6*c - 46)*(3*c - 5*c + 0*c).\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*g - 91 = 69*g. Suppose -5374 + 1629 = -g*r. List the prime factors of r.\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1979+28967\nAnswer: 26988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 2*l - 3*l**2)*(0*l - 2*l + 3*l) + 2*l**3 - 6*l**3 + 2*l**3 + (-5*l + l + 3*l)*(-26 + 6*l**2 + 26).\nAnswer: -11*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, j: 13}. Give prob of sequence wjj.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*j + 0*j - 3*j)*(18 - 55 + 199 + 0 + 1 + 1 - 4 + 6 - 3 + 4 + 2 - 4 + (5 - 1 - 3)*(1 + 0 - 3) - 1 - 1 + 1 - 5 + 3 + 0)*(2 + 4 - 5)*(1 - 3 + 1).\nAnswer: -800*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -65 * 0.01\nAnswer: -0.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 p when two letters picked without replacement from {p: 1, i: 6, y: 5, d: 1, n: 2, c: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 25 = -0*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 475066 to the power of 1\/2, to the nearest integer?\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 447 (b) -2\/17 (c) -58 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r + 98891 - 98891. Let z(s) be the first derivative of -14*s**2 + 19. Give c(z(p)).\nAnswer: 140*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7403 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 491963 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(a**2 + 0*a**2 + 0*a**2) + 0*a**2 + 2*a**2 - a**2 + 0*a**2 - a**2 + 4*a**2 + (-a + 4*a - a)*(-8 - 15*a + 8).\nAnswer: -25*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4*f - 12 - 12, -2*f = 2*s - 4. Let l be f - 2 - 2\/(-1). Let k be (-24799999)\/l - (-9)\/(-36). Round k to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + -0.8. Let r(m) = -m**2 - 16*m - 73. Let j be r(-18). Let d = j - -105. Which is the nearest to 0.1? (a) d (b) p (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 3, 55, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 481825 divided by 3\nAnswer: 481825\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - r - 4 = 0. Let m be (-28 - -3)\/(-5) + 0. Let h(n) = n**3 - 4*n**2 + 3*n + 2. Let x be h(3). Sort r, m, x.\nAnswer: r, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 + -21 - (0 + 0 + 5 - 0)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 257500 and 42436?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13072939?\nAnswer: 11, 29, 107, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzqqqzzzqqqzzzz. Give prob of sequence qzq.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 12:53 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37200 and 1840.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from popxsmsssoppwopsmwmp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 257 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/9, -2, 19.4 in descending order.\nAnswer: 19.4, -14\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -979*v = 896*v - 447*v - 51408 for v.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 25. Let s be ((-8)\/(-228))\/(1\/(-3)). Which is the third biggest value? (a) -4 (b) s (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 74*u + 430. Let o be p(-5). What is the highest common factor of o and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**3 + 9*o**2 - 2*o + 8. Let f be u(7). Suppose -3*k - f - 514 = 0. Let d be k*(-20)\/(1 - 2). Round d to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 48c5 - -6?\nAnswer: 48cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - -1 - (-5 + -4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -316*g. Let q(v) = -v**2 + v + 2. Let k(u) = 10*u**2 - 8*u - 16. Let c(m) = -5*m**2 + 3*m. Let i be c(-1). Let a(s) = i*q(s) - k(s). Give a(j(p)).\nAnswer: -199712*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -14. Suppose -4*o + 36 = 4*u, -u + 0*o + k = 2*o. Solve t = u*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36524715.\nAnswer: 3, 5, 67, 36343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 131191649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -66 in 3, 1, -0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14384?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 534606929 to the nearest integer?\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 10 = -3*w. Let o(j) = -j + 7. Let x be o(0). Suppose -5*b + 79 = 4*k, x*b + 27 = 8*b - 2*k. Solve -z = -w*y - y + 17, y = 3*z + b for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 575009.8044 to the nearest 10000.\nAnswer: 580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(1764))\/(sqrt(56)\/(sqrt(200) - (sqrt(200) - sqrt(200)*3))).\nAnswer: 270*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -817*l + 100475. Determine u(123).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/84)\/(18\/(-14)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 129\/4, 1219, 855?\nAnswer: 129\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 - 18*l**2 + 8*l**2 - 5*l**2 + 2*l**2.\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -ae737 (base 15) to base 7\nAnswer: -4501306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 84*b + 6. Let p(c) = -39*c - 2. What is -10*p(k) - 4*v(k)?\nAnswer: 54*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -1 - (-6 - -7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 81*u = -83*u + 22, -5*o = -u - 15. Suppose o*x - 3*s + 3 = 0, -64*s + 11 = 2*x - 63*s. Solve x*m = -w - 9, 0*w + 4*m = 4*w + 4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.85 - -0.15. Let y(h) = h**3 - 8*h**2 - 8*h - 13. Let i be y(9). Let u = -0.05 + -1.95. Which is the closest to 0.1? (a) i (b) u (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 164 = -4*p - 4*f, -2*p - 4*f - 104 = 0. Let b = -36 - p. Let j be b\/((-3)\/(6450\/(-4))). Round j to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jxl when three letters picked without replacement from ljpkljpjlxjhlll.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8129, -12737, -17345?\n\"Answer: -4608*u - 3521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -4\/382259467?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w*w**(2\/3))\/w))**(14\/5)*(w**(-1))**(41\/2)*(((w**(-4)*w*w*w)\/w)\/w)\/(((w**(-5)*w)\/w)\/w)*w**0*w*w*w\/(w\/(w*w**(-1\/2))) assuming w is positive.\nAnswer: w**(-211\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + 5 + 0 + sqrt(7))**2 + (sqrt(56)\/sqrt(72))**2)*5 + sqrt(567)\/(1*(sqrt(9)*-1 - sqrt(9))) + 5.\nAnswer: 197*sqrt(7)\/2 + 2465\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14748\/11 - -1339. Find the common denominator of 107\/10 and f.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9999 a factor of 1331866800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -192.03 - -201.8. Let k = 0.002 - 0.272. Let a = k + d. What is a rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 8*u + 14. Let b be k(8). Find the common denominator of -65\/48 and (774\/768 + -1)*b.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 20*a - 16*a. Find the first derivative of -2 - 14*w**4 + a*w**4 - 1 wrt w.\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 183\/(-78) - 1\/(-2). Let h = -0.2 + 0.2. Which is the closest to h? (a) 3 (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40419 and 26946?\nAnswer: 80838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -58, -84, -128, -196?\nAnswer: -294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.3 (b) -4\/5 (c) -1\/2 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 217 - 218. What is the second smallest value in b, -16, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 smaller than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16905 - 15006 = -129*t - 8691. Calculate the remainder when 879 is divided by t.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 4. Suppose -3*t - 2 + 15 = p, -z*t = 5*p. Let b = 138010.3 + -138010. What is the closest to b in p, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s - 10. Let x(f) = -f**2 + 11*f + 5. Let c be x(11). Let w be v(c). Solve 0 = w*l - 2*l + 5*a + 35, 5*l + 37 = -3*a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -172*v**2 + 95*v**2 + 5*v + 80*v**2 - 2 - v**4 in the form f*v + t + b*v**2 + a*v**4 + k*v**3 and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - x - 1. Suppose -690*b + 673*b = 218 + 122. Let h(y) = 40*y**3 - 20*y**2 + 20*y + 20. What is b*u(a) - h(a)?\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -g**2\/2 - 1. Let l(c) be the first derivative of 2*c**3 + 6. Determine m(l(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5 - 8*y**2 - 6 - 6*y**2. What is p(-1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 147578?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*q - 272 + 26 = -21 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 28 - 30*t)*(14 - 34 + 1)*(0*t - 21*t - 6*t).\nAnswer: -15390*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.71533ms to hours.\nAnswer: 0.000002420925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -11. Suppose -p*i - 135 = -5*n, 0*n - 94 = -3*n + 5*i. List the prime factors of n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 268 = 3*r - 656. Put 0.4, r, 0 in ascending order.\nAnswer: 0, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 636\/(-5088) + (-654)\/(-112). Let d = -21\/484 - -48547\/3388. Factor j*t - 4\/7 - d*t**2.\nAnswer: -4*(5*t - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -59 - -17 - -6 - (-6 - -13).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/294317 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2.8 (b) -1 (c) 0.828 (d) 0.3 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13198824.\nAnswer: 2, 3, 183317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0, -162\/13, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 432*g**2 + 6. Let k(p) = 14*p + 17. Give k(y(w)).\nAnswer: 6048*w**2 + 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 621497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 243 - 14. Suppose 49 - s = -4*w. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 95041503 and 3555?\nAnswer: 475207515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -4, -2 in increasing order.\nAnswer: -4, -2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -618*u + 54469. Calculate k(87).\nAnswer: 703","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6))**(-5\/3)\/(o\/(o*(o\/o**(5\/3))\/o)*o)**(1\/8) assuming o is positive.\nAnswer: o**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -595 + 595 - 5*p**3 + 43*p**3.\nAnswer: 38*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -2 + 6)*21\/(-6). Let u = c + 17. Solve u*q = -2*q - 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 2*g - 7. Let v be o(-5). Suppose -r - r = -v. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1207, -4731, -10599, -18811, -29367, -42267?\nAnswer: -57511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -368271360 divided by -46080\nAnswer: 7992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 + -30. Suppose 3*p = g + 1992, p - i*g - 718 + 54 = 0. Suppose -7*s + p + 533 = 0. What are the prime factors of s?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8832.373ml?\nAnswer: 8.832373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24565*0.5.\nAnswer: 12282.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/g**(-1\/4)))\/g)**(2\/75))**(-47) assuming g is positive.\nAnswer: g**(47\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*l**4 + 2446*l**3 - 5026 wrt l.\nAnswer: 8*l**3 + 7338*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(11) - (sqrt(77)\/sqrt(7) + -3))*-5.\nAnswer: -15 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and 1645.9?\nAnswer: 21396.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**6\/3 + 5*w**2\/2 - 3. What is the second derivative of z(k) wrt k?\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*z**3 + 11*z - 23?\nAnswer: -12*z**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.067212128 to three dps.\nAnswer: 0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3063 - -3059. Let i(u) be the second derivative of -u**5\/20 - u**4\/4 + 5*u**3\/6 + u**2\/2 + 2*u. Calculate i(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001100 + 1?\nAnswer: 1001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 133352 (base 6) in base 9?\nAnswer: 18065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 9, o: 10}. Give prob of sequence ccoo.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -669324645 less than -669324645?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z. Let a(c) = 614*c + 1. What is a(r(x))?\nAnswer: -614*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354605 a multiple of 665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 315 + -230. What are the prime factors of (q + 14)*(-30)\/(-9)?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10 - 2 - 5 - -2 - 1. Solve -i + 6 = -4*j, 3*i + 6*j + l = 7*j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - (-12)\/(-3)) + 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20990 - -20989.9. Which is the closest to 3\/5? (a) u (b) -1 (c) -12\/7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.208433682 - -20.\nAnswer: 20.208433682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -313.5 - -19.4. Round x to the nearest ten.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5414, -5379, -5344?\n\"Answer: 35*i - 5449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-7))\/(34\/(-119)). Solve -3*q = s*q - 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwbutwtbttutjwujbt. Give prob of picking 3 t.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 3*n - 21 = 0, -4*o = -3*n + 5 + 13 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 637 = 3*m + 2*m - 3*l, -2*m + 2*l = -254. Suppose -5*k + 22 = -m. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 119 + -122. Let c be o\/(-8) - 222\/(-48) - 3. Solve c = 2*r - 3*j, -3*r - 3*j = -0*r - 18 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, l: 1, f: 2, d: 6}. Give prob of picking 1 u and 3 d.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5823 + 13234. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38956 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -51\/203 (c) 3\/2 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**4\/24 + 5*f**3\/6 - 17*f**2. Determine w(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*q - 3*i - 13, -2*q + i - 5 = 0. Sort -0.5, q, 3\/7, 3.\nAnswer: q, -0.5, 3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 8*c - 58899 = 3*s, 3*s = -5*c + 147216. Is c a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -11*j**2 - 10 + 12 - 2. Let a(p) = -14*p**2 - 11*p. Let g(c) = -5*c**2 - 4*c. Let i(k) = -4*a(k) + 11*g(k). Determine q(i(o)).\nAnswer: -11*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and 25346424543588.\nAnswer: 25346424543593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4641, 18434, 41381, 73476, 114713, 165086?\nAnswer: 224589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 2*u - 551, -3*u + 336 = -2*w + 5*w. What are the prime factors of w?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 123\/7 - 1223\/70. What is the fourth biggest value in 0, 3, 5, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1567 is divided by 37.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -491090 divided by 245545\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 913, -31, -1?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -150 + 147. Let s be 0 + (2\/((-40)\/55) - y). Sort s, 0.01, 2 in decreasing order.\nAnswer: 2, s, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.17 - 14.17. Suppose r = -3*r. What is the fourth biggest value in r, 5, 0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 53252 - 3?\nAnswer: 53245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -h**3\/27 + 61*h**2\/18 + 62*h\/9 - 1364. Factor z(v).\nAnswer: -(v - 62)*(v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-1) + -40 + 4. What is n rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3796)\/(-132) - (-1)\/3. Let j = i + -6211\/198. What is the common denominator of 395\/(-3318)*(2 + (-273)\/15) and j?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3702, 29441, 99280, 235269, 459458, 793897, 1260636?\n\"Answer: 3675*r**3 + 14*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cqrrrjajajjq. Give prob of sequence rcqa.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97118157 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = u - 1. Suppose 16 = u*z - 59. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 1. Let r = u - 16. What is the third smallest value in 3, r, -1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 413 + -343. Differentiate 68*u + 104 + 75*u + q*u + 91 wrt u.\nAnswer: 213","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - 1) + 4 + 4\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*f + 109*f = 216*f - 1600. Calculate the remainder when f is divided by 52.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 61*l - 498. Give c(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.01 - -12.99. Let i = -20 + q. Let d = -7.0000002 - i. What is d rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -5*v + 20, -q + 5*q = -3*v + 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(612) - sqrt(51)\/(1*sqrt(3)))**2 + 1.\nAnswer: 2058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -15. Let l(q) = 3*q**2 + 4*q + 1. Let g be l(-2). Let w = t - g. Sort w, 1, -2 in descending order.\nAnswer: w, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -228 - -227. Let x(y) = 1308*y**2 - 3*y - 3. What is the hundreds digit of x(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 6*p**3 - 10*p**2 - 9*p - 1. Let i be t(-3). Let a = i - -358. Is a a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 655 is divided by 232.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 87045688214 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -537*(-7 + 11 - (-26)\/(-6)). Let v = f + -176. Solve 0 = 5*j - 5*g + 45, -v*j - 19 = -0*g - g for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - 1107.\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z**2 + 614*z + 5*z**2 - 618*z + 0*z**2 - 1. Is s(20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-227144639.\nAnswer: 908578556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 28*p**3 + p**2 - 28*p + 100. What is the units digit of d(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 336.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppppppppzpppppppp. Give prob of sequence zp.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -11. Let s = 9.2 - 9. Which is the third biggest value? (a) m (b) s (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*c*m*t**3 + 22*c*m*t*w - 4*c*t**3*w + 18*m*t**3 + 9*m + 6*t**3*w wrt c.\nAnswer: 6*m*t**3 + 22*m*t*w - 4*t**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -135173319*p - 28859078?\nAnswer: -135173319","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13546825 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(405) + 0)*-5.\nAnswer: -45*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -l - 1 - 2, -2*g = 4*l - 12. Let r(h) = -1 + h + 10 + l - 1. What is r(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 7*w - 10*w - 12, 2*w = -2*g. Which is the smallest value? (a) -3\/5 (b) 2\/3 (c) -0.1 (d) g (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 426, 1899, 4360, 7815, 12270, 17731?\n\"Answer: p**3 + 488*p**2 + 2*p - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/10 + 22\/5. Let y(h) = h**3 + 4*h**2. Let v be y(-3). Solve 11 = -o*s - v for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 765+3.8\nAnswer: 768.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g*h*j*t**2 - 483*g*h - g*t**2 + h**2*j*t**2 + h**2 + 2*h*j*t - 3*j*t**2 + 2*j*t wrt t.\nAnswer: 8*g*h*j - 2*g + 2*h**2*j - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10500\/195 + 2\/13)*1\/(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9295 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 455773\/261765 - 4\/9695. What is the common denominator of 187\/90 and g?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -0.2 (c) -1.5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -23163889 * 0.2\nAnswer: -4632777.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -3389949\/35 at least as big as -96855?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6, -1, -0.1, -2\/17, -5 in decreasing order.\nAnswer: -0.1, -2\/17, -1, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*k - 21*k + 60 + 39*k)*(0 - 1 - 1)*(-4*k - 2*k + 4*k) to h + m*k + u*k**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22519968 or 1?\nAnswer: 22519968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 7*m + 2. Let o be j(-4). Suppose -11*g = 4*n - 8*g - 150, -2*n = 3*g - 78. Let x = o + n. Calculate the highest common factor of x and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 24 = 2*z - 2*c, -5*z + 2*c + 60 = 0. Suppose 3*p = -0*p + z. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -628 + 632. Let f = 4.94 + 0.06. What is the nearest to z in 4, f, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (16 + -4)\/(-48) - 6698\/(-8)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**3 - 21*a**2 + 14*a - 17. Determine b(10).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {q: 2, h: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.555515 + -39885.\nAnswer: -39882.444485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 2\/3*h**3 + 0*h**2 - h - 2. What is the derivative of m(x) wrt x?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w + 12. Let n(i) = 3*i + 11. Determine 4*d(y) - 5*n(y).\nAnswer: y - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54185591*n**3 - 108371183*n**3 + 54185594*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/14)\/((-11058)\/1358)?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((468\/1859)\/9)\/(4\/22)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/21*(-3)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b**2 - 11*b + 11. Let a(s) = -s**2 - 4*s + 4. Let q be 1\/(-3 + 51\/18). Give q*h(j) + 17*a(j).\nAnswer: j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) -33 (c) 1\/5 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 23 - (4 - (9 - (8 + 3)))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*p + 105. Let l = 9 + p. Let m be l\/(-8) + (-6)\/4. Which is smaller: m or 2\/13?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167813 is divided by 2149.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 13*i**3\/9 + 116*i**2\/9 - 295*i\/9 + 22\/9 = 0?\nAnswer: -11, 1\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12.46 and 0.4.\nAnswer: 12.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -2. Let d be 3\/l - 143\/(-55). Solve d*p - p = 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + 10020\/(-280) + -389*(-3)\/168*4?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 12*m + 14 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 5*q + 8. Let z(c) = -c. Let s = -3 + 9. Let u(j) = s*z(j) + i(j). Give u(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -109571.8663 - -109577. Round w to 2 dps.\nAnswer: 5.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -1. Let k = -1696 + 1705.958. Let w = t + k. Round w to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 658775244 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/((-54)\/12))\/(2\/30). Let c = v + -620. Let h = c + 992. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-42)\/(-49)*(-70)\/25.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of 13*w**3\/6 + 270*w. Let h(z) = 24*z. What is a(h(b))?\nAnswer: 312*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(85) + (sqrt(85) - (sqrt(85) - 3*sqrt(85)) - sqrt(85))*2 + sqrt(85))*4)\/((sqrt(50)*3)\/sqrt(10) - (sqrt(100)\/sqrt(4))\/sqrt(5)).\nAnswer: 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -606*x**2 + 3*x - 1. Let y be i(-3). Let q be y\/(-6) + (-6)\/9. Round q to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*z - 2*z**5 - 98*z + 4*z**4 + 216 + 20*z**3 - 520 - 16*z**2 + 268 = 0. Calculate z.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12676*k + 6113*k + 5880*k + 2918*k**4 wrt k?\nAnswer: 35016*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 0*f - 3*f + (f + 0*f - 2*f)*(3 - 1 - 1)*(-49 - 30 + 21))*(-4*f - 2*f + 5*f).\nAnswer: -56*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5 = -5*j, -4*j - 2*p - 13 = -3*p. Let h be j\/((-2)\/6 - -1). Sort 5, h, 4.\nAnswer: h, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 2*r**2 + 3*r. Let l = -4 - -6. What is i(l)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-six fifths of a millennium?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3299*t + 574. Let w(l) = -71478*l + 12464. Let c(y) = 152*q(y) - 7*w(y). Let u(j) = -63*j. Determine -5*c(a) + 87*u(a).\nAnswer: 29*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 61 (base 10) to base 15\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1083674.541 to the nearest 10.\nAnswer: 1083670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.618 less than 0.31?\nAnswer: -74.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 7203.699?\nAnswer: -21611.097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1600761 by -12409.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 20, 29, 50, 89, 152, 245, 374, 545?\n\"Answer: h**3 + 2*h + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34845 is divided by 96.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-36) - (-1)\/3. Suppose 3*h + r = -3. Let y(v) = -v + 6. Let l be y(8). Put l, -4, h in decreasing order.\nAnswer: h, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 196 - 146. What is the lowest common multiple of 865 and h?\nAnswer: 8650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 924 - -2895. What is the thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -j**4\/4 + 2*j**3 + 3*j**2\/2 - 4*j - 4. What is the remainder when v(4) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -803.33018 to 1 decimal place.\nAnswer: -803.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110 + -111001000?\nAnswer: -110011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 4. Suppose 0 = -l*f + f + 2. Calculate the lowest common multiple of f and (4\/(-10))\/(2\/(-60)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 25*d - 22*d. Let j(o) = -5*o + 6. Let c(v) = v. Let z(x) = -12*x + 7. Let r(i) = 6*c(i) + z(i). Determine d*r(g) - 5*j(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 5*d**2 - 2*d. Let t = -27 - -32. Suppose t*c - 1 = 19. Let p be (-8)\/(5 - c) - -3. Give v(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a kilogram in grams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -299 + 301. Suppose -n*v = 7 - 7. Solve -9 = -h - 2*l, v*l - 6 = -h - l for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 - 36. Let c be 3*1 - (5 + y). Suppose -5*u + 80 = -5*w, 0 = -2*u + c*w + w + 40. What is the highest common factor of u and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 2*z = -10, -h = 1578*z - 1579*z - 7 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.7441 to 1 decimal place.\nAnswer: 9.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdjyfyje. What is prob of sequence jy?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20311440.\nAnswer: 2, 3, 5, 84631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - (-24 - -50)) + 77\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89 - (-65 + 107) - (-1 - -2 - -4).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2468?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.08722 minutes to microseconds.\nAnswer: 1565233200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -8903\/4471?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3703506164.\nAnswer: 2, 229, 4043129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30.668 - 273.668. Which is bigger: b or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*f - 22 = 0, 6*j + 16 = 3*j - 5*f. Let l be j\/(-6) + 3\/6. Let t = 349\/1287 + -4\/99. Which is smaller: l or t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 2*d**2 + d. Suppose -4*p - 4*k = -16, -3*p + 14 = k + k. Suppose 0 = 2*n - p*n - 12. What is the smallest common multiple of i(n) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-3))\/((-5629060)\/(-30519)).\nAnswer: 6\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17685 and 11233905?\nAnswer: 1965","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + t - 2 + 1)*(-6*t**2 + 4 + 3*t**2 - 3 + 2*t).\nAnswer: -3*t**3 - 19*t**2 + 15*t + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcxpcpycpxx. Give prob of sequence pp.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153, 557, 1221, 2145, 3329, 4773?\nAnswer: 6477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-6)*72\/4. Suppose -4*p + o = -k - 0*p, 3*k + p = 12. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2 - 2220*d - 616. Let p(g) = g + 44. Let f(q) = -28*p(q) - 2*v(q). Let f(u) = 0. What is u?\nAnswer: -1103, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010101111100 - 10000111?\nAnswer: -111011000000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17954608 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20313 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 73114363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 19 = -5*c - 3, 3*f - 24 = 3*c. Let q = c + 12. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 - 19. Let v = g + -16. Suppose 6 - 121 = -v*a. Does 20 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1568 + 3?\nAnswer: 1571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 2 + (-3)\/(-1). Sort -2, b, -3 in ascending order.\nAnswer: -3, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*w - 450 + 2354 = 0. Solve -9*g - 32 = -w*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -9665, 15 in descending order.\nAnswer: 15, 1, -5, -9665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9085883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -88*s**3 - 9*s**2 - 5029*s + 10051*s - 5024*s in the form u*s**3 + c + n*s + x*s**2 and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 61, 59, 55, 49, 41, 31?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.2, 1916, 0.5, -1\/3, -56?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -z**8\/1120 - z**7\/1260 + z**6\/180 - 5*z**4\/12 + 3*z. Let v(g) be the third derivative of l(g). Factor v(o).\nAnswer: -2*o*(o + 1)*(3*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f + 2. Let a(q) = 10*q - 419. Calculate a(u) - 4*m(u).\nAnswer: 2*u - 427","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(18) - sqrt(21))\/(sqrt(70)\/(sqrt(40)\/sqrt(4))) + -2.\nAnswer: -2 - 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + x = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/5))**21\/((x**(4\/3)*x)\/(x*x\/(x\/x**(-1\/5))*x)))\/((((x\/(((x*x**(2\/5)*x)\/x*x)\/x))\/x)\/x)**20)**(-46) assuming x is positive.\nAnswer: x**(-33002\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23796 is divided by 273.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 3*w**2 - 2*w - 1. Let g be i(-3). Suppose 195 = 5*q - g. Solve 6*h - q = -4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, h: 2, i: 2, v: 6}. What is prob of sequence lvi?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 3*s - 6. Let n be b(-5). Suppose -5*g - 26 = -2*f - 0*f, 4*f + n = -4*g. Solve -f*w + 0 - 3 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/7 (b) -0.3 (c) 7\/232 (d) 5 (e) -0.82\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-55)\/(-22))\/((-1)\/(-2)). Which is the third biggest value? (a) -0.3 (b) u (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1860*s**2 - 3*s**3 + 1860*s**2.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 bigger than 347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 740656225*h**4 + 16739374985*h**3 + 9788963450*h**2 + 7187020*h + 1320 = 0. What is h?\nAnswer: -22, -3\/5, -2\/5443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -3 + 2 - (12 - 12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - n + 1. Let p(h) be the first derivative of -5*h**3\/3 - h**2\/2 - h + 2. Let r(m) = 14*j(m) + 2*p(m). Find i such that r(i) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-24)\/(-20))\/((-228)\/(-359005)*3\/24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -5. Let c be 2\/(-6)*2*-6. Let q be (-3)\/((-4)\/((-8)\/c)). Sort q, -2\/5, u in descending order.\nAnswer: u, -2\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f + 26. Let s be (-2585)\/(-275) - 3\/(-5). Let q be o(s). Let w = 0 + 2. Solve 10 = w*z + u + 1, z - u - q = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335 = 10*n - 0*z - 5*z, -2*z = 6. Let p be (25\/(-120))\/((-40)\/n). Factor -2\/3*g**2 - p*g**3 - 1\/3 - 5\/6*g.\nAnswer: -(g + 1)**2*(g + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 720?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20965.92 weeks to days.\nAnswer: 146761.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1311657266?\nAnswer: 2, 71, 367, 25169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/23 (b) 3\/8 (c) -0.074 (d) 2 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 25, 47, 75, 109, 149?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 405\/663859?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -14.5. Let z = s + 0.58. Round z to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1.2, 2, -3, -2\/19, -9139, 0.09?\nAnswer: -9139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 11*f + 161*f + 47*f. Solve f = z + 2*x + 7, x + 2*x - 6 = 4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (-6)\/(-1) + -2. Suppose -f*t - 7 = -35. Suppose -3*a + 254 - t = 0. Is 20 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.4 (b) -9 (c) -1 (d) 1.9 (e) 19.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -71 (base 11) to base 16\nAnswer: -4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/57 - (-44)\/1254*-3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x - 870 = -6*x. What is the common denominator of 6\/(-9) - x\/(-24) and -67\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r + 2*r - 2*r)*(-2 - 2 + 5)*(77 + 36*r**2 - 77) to a + t*r + m*r**2 + p*r**3 and give p.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 8*w**2 - 10*w + 15. What is f(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-4 + (4 - 8\/4)). Sort 3, 1, h in decreasing order.\nAnswer: 3, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 421235*k**3 - 284501*k + 2?\nAnswer: 2527410*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nvntvgnannvvannn. Give prob of picking 1 t, 1 a, and 2 v.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -2*a**6\/15 + a**3\/6 - 24*a**2. What is the derivative of f(q) wrt q?\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11767.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssbs when four letters picked without replacement from kkbssss.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 62*2\/(-56) + 45\/18. What is the closest to p in -2, 0.4, -0.026, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3179)\/17)\/(-17) + -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30403 + 211333?\nAnswer: 130430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.473517 litres?\nAnswer: 4473.517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 896, 3777, 8596, 15353, 24048?\nAnswer: 34681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -30, 13, 76, 3, 2 in descending order.\nAnswer: 76, 13, 3, 2, -7, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1974466373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f + 22 = -2*f + 113 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/116 in 0.1, -0.3, -11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -23627, -5, -18 in descending order.\nAnswer: -5, -18, -30, -23627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -70 + 70. Suppose b = -2*q + 2, -2*o - 2*q + 21 = 3*q. Suppose -3 = -c + o*i - 3*i, c - 3*i = 3. Solve 0 = 4*s + 4*z - 28, 0*z - 15 = -c*s - z for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 1:56 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*b - 3*s + 152 = -3*b, 5*b - 2*s + 47 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 557690 and 31868.\nAnswer: 1115380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 1:37 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 14*a - 3 - a + 12*a. Is g(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + r + 28, 4*q - 2*r = 3 + 23. Suppose q*p - 4*g - 25 = 0, -4*p + 10 = -2*p - 3*g. Let l(v) = -p + 4 + 3*v - 1. What is l(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 32*w - 30*w - 13, -2*p - 46 = 5*w - 3*w - 64 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3 + 0 + 1 + 1 + (1 + 0 + 1)*(1 - 4 + 4) - 1 - 4 + 1)*((s**2 + 0 + 0)*(s - 3 + 3) + 2*s**3 + s**3 - 2*s**3).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 12:26 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -53\/9797 in -0.1, -1\/2, -3, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2409*j + 79532. Calculate q(33).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 less than -21308.5065?\nAnswer: -21308.6165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -2006727.206 to the nearest one thousand.\nAnswer: -2007000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 4. Let g be (-4)\/(-5 - -1) - i. Suppose g*p - 5*p + 255 = 0. What is the greatest common factor of p and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 b, and 1 g when three letters picked without replacement from bbegebghyghg?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*y + 887 - 267. Let h be (-4)\/99 + y\/(-341). Put -2\/19, h, 10 in ascending order.\nAnswer: h, -2\/19, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2*p + 5 = 5*f, -5*p + 62 = -4*f. Let d(c) = c + 10. Calculate the lowest common multiple of p and d(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 34 = 4*m, u + 2*m - 5 = 9. Calculate the lowest common multiple of 18 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (2 - -2) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274155019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**3 + 10*x**2 - 20*x + 56. What is f(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = m + 29 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 5*w**2 + 3*w + 3. Let m be s(4). Is (-4 + 3)*(-19 - m) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 18855364, 18855498, 18855642, 18855802, 18855984, 18856194?\n\"Answer: x**3 - x**2 + 130*x + 18855234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g + 5*g - g + 2*g - 3*g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d**2 - 13 + 3 + 10. Let m(k) = 9*k**2. Calculate g(m(q)).\nAnswer: 243*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -107055*m**3 + 271118*m?\nAnswer: -642330*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61120059.999949 - -61119977. Let h = -83 - q. What is h rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.2 (b) -0.1 (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 128 - -55. What are the prime factors of z?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8518, -13736, -18954?\nAnswer: -24172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.6138 rounded to zero decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 412*i - 309. Let p(v) = -414*v + 315. Let c(f) = 12*p(f) + 11*t(f). Find the first derivative of c(n) wrt n.\nAnswer: -436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 19*n - 29*n + 50*n to the form c*n + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-4)*112\/(-12). Let z be (-14)\/49 - 60\/v. Solve 4 = j + 3*r, 0 = 2*j - 3*j + 4*r + z for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (344\/10)\/(6\/15). Let u(x) = -3*x**2 + 3*x - 8. Let k be u(4). Let p = q + k. What are the prime factors of p?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64815.23kg to micrograms.\nAnswer: 64815230000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 25*b**3\/2 - 143*b**2\/2 + 162*b + 96. Let d(r) be the first derivative of z(r). What is the first derivative of d(c) wrt c?\nAnswer: 75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-8 + (-4 + 4 - 3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 949*m = 814*m + 945 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*k = 28*k + 12. Solve k*b - 2 = 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 92*u**2 - 175*u**2 + 86*u**2 - 7. Let l be (1\/2)\/((-1)\/54). Let x = -22 - l. Let g(t) = 2*t**2 - 5. Calculate x*k(q) - 7*g(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - r + 0*r - 15 = 0, 3*t + 2*r + 16 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -a98331 (base 14) to base 12\nAnswer: -1b11687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*b - f = 40*b - 12, -16 = -2*b - 5*f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 65576 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/397?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -225 + 529844*c - 567 + 26*c**2 - 529874*c wrt c.\nAnswer: 52*c - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w\/w**20))\/(w\/(w**29\/w)*w))\/(w**(-46)*w**(16\/5)*w))**(2\/73) assuming w is positive.\nAnswer: w**(868\/365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330*w = 553729 - 543829 for w.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001101000010001101 (base 2) to base 8.\nAnswer: -1150215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17706 = -16492*l + 199118 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*i + 1 + 25. Let g = 7\/68 - -11\/17. Factor g*d**i - 3\/4 + 0*d.\nAnswer: 3*(d - 1)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, 2\/5, -5.539, -11, 37.2, -0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-637)\/(-4) - (-2)\/(-4). Suppose -449 = 3*t - 5*f, 707 = -4*t + f + 80. Let k = p + t. What is the third smallest value in k, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 488 and 238133752.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(30)\/sqrt(2)*-6)\/(3*sqrt(500)).\nAnswer: -3 - sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2)*(0 + q + 0) + 2*q + q - 2*q + 2*q - 4*q - 7*q - 3*q + q + 4*q to a + x*q and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 1:29 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5*s**2 - 72*s - 138. Determine n(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71810 is divided by 71698?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 96?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3040856 divided by 4177?\nAnswer: -728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*c**3*l**3 - 64*c**3*l + 3135*c**2*l**3 - l**3 wrt c.\nAnswer: -42*l**3 - 384*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 99 + -696\/7. Let l = r - -23\/70. What is the common denominator of l and -41\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 368128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m**4 - 3276*m**3 - 34026*m + 2?\nAnswer: 24*m**2 - 19656*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 10 = -3*n + 4*h, 4*n - 14 = 2*h. Suppose n*w - 18 = -3. Suppose -11 - 9 = -w*o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-8 + 4 - -7 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1, -16, -47, -100, -181?\n\"Answer: -g**3 - 2*g**2 - 2*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -796*m + 59755 + 7109 for m.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24562949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22.9 + 111.9. Let s = y + -86. Put -2\/9, -4, 0.2, s in increasing order.\nAnswer: -4, -2\/9, 0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14655*c - 14831*c - 624 = 2896 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - 8 - (-6 + -4). Let b(h) = h**2 + 10*h + 17. Let a be b(-7). Sort 4, q, 3, a.\nAnswer: a, 3, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*n + 19 = -3*n, -c - 2*n = -3. Calculate the lowest common multiple of c and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.1 + -6.1. Let q = 1 + r. What is the closest to 0.1 in q, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3152*q**2*r**3 + 309*q**2 + q - 3*r**3 + 40257*r**2 wrt q?\nAnswer: -6304*r**3 + 618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -453 - -396.4. Let u = k - -56.9. Let h be ((-8)\/(-15))\/(3 + -1). Put u, -3, h in decreasing order.\nAnswer: u, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -l - 18, 2*v + 4*l + 0*l - 16 = 0. Let u(j) = j - 14. Let s be u(14). Let a = 5 + -3. Solve s = a*o - v*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100100000110110 (base 2) in base 12?\nAnswer: 57706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v = -p - 59, 1439*v = 1440*v + 5*p + 23 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 135 - 111 = 2*c, 5*c - 65 = 5*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (2 - 3) - (2 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**2 - 8*t + 6. Determine o(5).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16674 is divided by 112.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/195)\/(-6*(-13)\/(-52))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 296 - 296.3. Sort 3\/5, 3\/2, x, 7\/4 in ascending order.\nAnswer: x, 3\/5, 3\/2, 7\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 2, 0.5, -0.2, -5529\/2, 3.\nAnswer: -5529\/2, -0.2, 0.5, 2, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + 4*t**2 + 0*t**2 + (2*t - 1 + 1)*(5 - 1 - 2)*(1 - 3 - 4)*(-83*t - 13*t - 2*t))*(0*t - 3*t + 4*t).\nAnswer: 2357*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggqfttxfggvx. What is prob of sequence qgxx?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128325955.\nAnswer: 5, 1303, 19697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + 1)**2*2.\nAnswer: 12*sqrt(19) + 344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 499*n + 71*n - 11740 = -46510 for n.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -1 + r**3 - 4*r + 0*r**2 - 1\/4*r**4. Suppose l(w) = 0. Calculate w.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(1008)*-2)*-4*-6.\nAnswer: -576*sqrt(7) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3094 = -8*m. Calculate the highest common divisor of 34 and m.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56\/3 + 20. Let u be (1\/2)\/((-10)\/(-4)). Suppose d + 3*d - 20 = 0. Sort u, z, d in decreasing order.\nAnswer: d, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vergivrl. What is prob of picking 1 g, 1 v, and 1 l?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32095769 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 137 + -126. Suppose j*v - 12*v = -86. What are the prime factors of v?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of z**2\/2 - 5*z + 3. Suppose 22 + 6 = 4*x. What are the prime factors of l(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 - 49. Let h(g) = -4*g + 27. Let z be h(y). Let b(l) be the first derivative of -l**2\/2 - 7*l + 19. Let s(q) = -q - 4. Determine z*s(d) + 3*b(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 262, -6, 83 in decreasing order.\nAnswer: 262, 83, 3, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 10. Is 24*(1 + x)\/1 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 3 + (1 + 1 - 3)*(3 - 3 + 1) - 15 + 12 - 20)*(1332*n**4 - 43*n**5 - 1332*n**4).\nAnswer: 1118*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.2589563901 + 0.8267.\nAnswer: -9.4322563901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 8*f - 3. Give m(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4780d8 + 5?\nAnswer: 4780dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 r when two letters picked without replacement from gnbrnnbtnn?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581080?\nAnswer: 2, 5, 73, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**5 + 330*d**4 + 5040*d**3.\nAnswer: 5*d**3*(d + 24)*(d + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 10*q**2 - 6*q + 6. What is the units digit of k(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 904 = 5*v, -17*v = -10*v + 4*p - 1286. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 24 = 7*r - k, 2*k - 114 = -5*r. Suppose -r*t + 300 = -12*t. What is the least common multiple of t and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13062641*m**4 + 9*m**2 - 4369*m - 26 wrt m.\nAnswer: -313503384*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307 - 739 = -280*r - 486 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3 + 12 = 5*x, -2*x - n + 8 = 0. Suppose -x*w + 5 = -2*d, -2*w + 5*w - 3 = 0. What is the units digit of (30\/(-3))\/d - 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + -2)*-5 + 1 + sqrt(405)*-1 + (1*sqrt(405)*-1 - (-1*sqrt(405) + -2)) + -3)**2.\nAnswer: -1080*sqrt(5) + 14680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -26, -0.1621, -4, -65?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 207*o - 217*o + 2*i + 64, 3*o + 5*i - 30 - 6 = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f + 15*f - 566 = -89*f - 2096 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 7 = 5. Suppose 40*s - 56*s + 192 = 0. Factor 13*o**3 + 7*o**4 - s*o**r - 3*o**3.\nAnswer: -5*o**3*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -240 - -606. Suppose 4*r + 2*n - 3*n = s, 0 = r - n - 93. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 838957, 1677913, 2516869, 3355825?\n\"Answer: 838956*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163290?\nAnswer: 2, 3, 5, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 13741384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 97 and -0.5.\nAnswer: -48.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2701*z + 182444 = -2665*z for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 327+-60502869.438\nAnswer: -60502542.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01064 times 5?\nAnswer: 0.0532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 3 - 4*l**2 + 2*l - 12 - l**3 + l**2. Let s be m(-5). Let j(k) = k**2 - 5*k + 3. Determine j(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1835 - 914 + 124*y**2 - 439*y**2 - 923 - 99*y**2.\nAnswer: -414*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 14*t**2 - 14*t + 17. Let c be (-42)\/(-6) - -1*(-3 + 9). Let u be m(c). Solve 4*k - l = l - 26, -u*l = 3*k + 3 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (-20 + (-20 - -15)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7510568 minus -27.5456?\nAnswer: 25.7945432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 3 + 3)*(-1 - 2 + 1) + 3 + 3 - 4 + 1 - 2 + 0)*(-4 - 2*t + 4) + 0*t + 0*t - 3*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5387 is divided by 579.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 515*y - 199*y = 1048 + 1796 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34166.\nAnswer: 2, 11, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -10*r - 27. Let g be c(-3). Let i(a) = -6*a**2 + 82*a + 32. Let q be i(14). Solve -16 = 5*v + 4*d, -3*v + g*d + 1 = -q*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, m: 2, j: 2}. What is prob of sequence ja?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/3)\/(120\/(-90))*10.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(242)*-4 + -6*sqrt(4)\/sqrt(2) + sqrt(8)*-2)**2 + -3.\nAnswer: 150149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*v**3*x**2 + 64*v*x**3 + 268*x**3 wrt v.\nAnswer: 6*v**2*x**2 + 64*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -357 or -338?\nAnswer: -357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence drrd when four letters picked without replacement from qvdrtdddrvv?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, e: 11}. Give prob of picking 4 e.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 3.28.\nAnswer: 1.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7, -1, -2, -1\/4, -9, 0.088, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38657330 is divided by 81.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1293, 5105, 11433, 20253, 31541, 45273, 61425, 79973?\nAnswer: 100893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 23*n + 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 18387 times -1969\nAnswer: -36204003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - -6 - (-2 - 11). Suppose 0 = 9*o - 8*o - x. Let m = o - 15. Solve 5*l = 3*w - 25, -m - 3 = -3*w - 5*l for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 - 4*h + 8. What is the smallest common multiple of k(4) and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, -222, -330?\nAnswer: -438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -31, -1340, -2038.\nAnswer: -2038, -1340, -31, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65 - 82 + 138)*(5*r - 5*r - 2*r**2)*(r + 2*r - 4*r).\nAnswer: -18*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 5*f + 215, 2*q - 80 + 298 = -2*f. Let a = q + 212. Does 17 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 - 27. What is the least common multiple of 1 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccccclccllll. What is prob of sequence ccll?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 8) + (-5 + 10 - (-8 - -24)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 8*h**2 + 1056*h + 2047. What is y(-130)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence py when two letters picked without replacement from ypp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 + 66 = 3*u. Calculate the common denominator of (-280)\/u + -2 + 6\/2 and 80\/39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5295173?\nAnswer: 13, 407321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 9*g**3 + 3. Let s(t) = t**3 - 1. Determine -n(y) + 6*s(y).\nAnswer: -3*y**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 444090 and 1350.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/18292 and 29\/3069828.\nAnswer: 52187076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -n**5\/60 - 7*n**4\/24 - n**3\/3 - 14*n**2. Calculate k(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290864.\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/1288*-23*16\/(-303).\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -171\/4 + 43. Let l = 32 - 63\/2. Let s = l + -5\/6. What is the nearest to h in -2\/5, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -153928*z**4 + 50*z**3 + 2*z + 109274075 with respect to z.\nAnswer: -615712*z**3 + 150*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0, 33, -2, 3, 1, 126 in increasing order.\nAnswer: -9, -2, 0, 1, 3, 33, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 2*s + 16. Calculate the remainder when t(0) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127, -264, -399, -532, -663?\nAnswer: -792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x**3 + 6*x + 3. What is the least common multiple of u(-2) and 6?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 28994 = 9*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c - -1b?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 19*f - 72 = 0. Suppose 0 = 16*k - f*k + 20. Which is the closest to 1\/3? (a) -2\/11 (b) k (c) 2\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 11 = b, 27 = 189*b - 184*b + d. Solve 0 = -b*c - 10, -4*f - 82 + 88 = 5*c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -15) + (3 + -5 + 4 - 7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 231919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 5771341.86804?\nAnswer: 5771342.26804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*v + 85 = -0*v, 3*f + 3*v = 282. Let m be ((-44)\/(-16))\/11 + (-2001)\/(-12). Suppose m - 115 = 4*y. What is the greatest common factor of y and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29.8728 + 0.1272. What is the nearest to 0.1 in -3, q, 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 8735929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -0.3, 0.0297, 9391.2 in descending order.\nAnswer: 9391.2, 2\/17, 0.0297, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 2:35 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of i**2\/2 + 36*i + 3. Let a be j(0). Suppose -2*b = -4*z, 3*b - 3*z - a = -6*z. Solve m - b = -m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 31. Let t = z - -4. Suppose p - 5*p = -100. What is the remainder when p is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**6\/60 - 13*w**5\/80 - 7*w**4\/12 - 23*w**3\/24 - 3*w**2\/4 + 29*w. Solve m(q) = 0 for q.\nAnswer: -3, -2, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 602 + 30 = 0. What are the prime factors of v?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4994 minus -0.1?\nAnswer: 4994.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3.7*13\nAnswer: -48.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lukklz. Give prob of picking 1 u and 2 k.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 492 and 28536.\nAnswer: 28536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 535284 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: Find the common denominator of -17\/8 and -115\/66.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 219 - 94 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1336?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47.74 + -55.26. Which is the biggest value? (a) -0.4 (b) -1\/5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1099 - 1099 + 12*n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -228, -2057, -7028, -16713, -32684, -56513?\nAnswer: -89772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 83.68 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 84964905?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/96*147\/14?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fgxgfff. What is prob of sequence gxgf?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (8\/(-4) - -4)\/(2\/135) is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 3242903?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 19 + 6*y + 3*y - 2*y + y. What is the remainder when w(11) is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h + 27. Let x be p(8). Let t(u) = u**2 - 12*u - 19. Let g be t(x). Let b be 3\/(-2)*g\/(-9). Sort 0, b, -1 in ascending order.\nAnswer: b, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45850450?\nAnswer: 2, 5, 29, 103, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7740 and 240?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/6*(-5)\/(-35)*168\/36.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 8*i**2 - 6*i + 10. Let u be p(-7). Let h = 1041\/7 + -149. Which is the third smallest value? (a) 2\/3 (b) u (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(700)*-1 - sqrt(700)) + sqrt(700) + 5 + sqrt(700) + 6*-2*sqrt(700))**2.\nAnswer: -1200*sqrt(7) + 100825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15335811.\nAnswer: 3, 59, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 10. Let n = 6 - c. Calculate the remainder when (-77)\/(-4) - (-2)\/(-8) is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47393 is divided by 5924?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -70 + 69.9. Let y(v) = v**2 + 2*v - 5. Let i be y(-5). Suppose 0 = -4*j - 0*j - 12. What is the biggest value in j, d, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.1 + -38.9. Let i = f + 59. Let d = i - 18. Which is the closest to d? (a) -3 (b) -6 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 500993377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 306 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 + 51.4. Let x = 51.021 - m. Let n = -0.02325 + x. Round n to 4 dps.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -606, -547, -488, -429, -370?\n\"Answer: 59*c - 665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23361 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (p + 6*p - 4*p - 1)*(3 - 2 + 2)*(-29*p - 6*p - 9*p) in the form q*p**2 + s + i*p and give q.\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - o**2 + 2*o - 20)*(-3 + 0 + 0).\nAnswer: 3*o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 - 206. Let d = i + 220. Suppose 3*q = -2*q + d. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/3)\/1*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvmmvmmmvmvmmm. What is prob of picking 4 m?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/17 + 184*q\/17.\nAnswer: -2*q*(q - 92)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41728)\/62592*309\/(-2)?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in nineteen quarters of a kilometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - j = -12, 2*d + 90874*j = 90870*j + 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/160 and 77\/16707580.\nAnswer: 133660640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 6*f + 2*f + 7*f - 14*f + 7. Give k(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of z**5\/50 + z**4\/30 - 4*z**3\/15 - 4*z**2\/5 - 6*z. Factor x(v).\nAnswer: 2*(v - 2)*(v + 1)*(v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4837370 to the nearest 10000.\nAnswer: 4840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*21\/(-120) - ((-16)\/(-5) + -4). What is the second smallest value in r, -2, 1\/111?\nAnswer: 1\/111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(-14))\/(y\/(y**(-5)\/y)))\/((y**(2\/5)\/y)\/y*y*y**12))**(1\/20) assuming y is positive.\nAnswer: y**(-17\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c327 - 0?\nAnswer: -3c327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7106 and 304.\nAnswer: 56848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (1 + -1 + 2 + -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (4 + (-9 - -2) + 0 + 29 + 1)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(2299) - sqrt(2299) - sqrt(2299))*-4 + 0 - (sqrt(2299) + 1 + 2 - (0 + sqrt(2299) + (sqrt(2299) - (sqrt(2299)*-1 - sqrt(2299)))))) + -5)**2.\nAnswer: -616*sqrt(19) + 112667","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from fzzypfficzyf?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 - -58. Let p(v) be the first derivative of 5\/2*v**2 + q*v - 5\/4*v**4 + 0*v**3 + 5. Find the second derivative of p(i) wrt i.\nAnswer: -30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 176.843 + 0.157. Let l = b - 256. Let o = 74.3 + l. Round o to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -95 + 134. Is t a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*p**2 - 47*p + 144*p**2 + 47*p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.28926895 - -0.04979905. Let q = 4.3605189 - v. Let f = -4.6 + q. Round f to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oa when two letters picked without replacement from {o: 10, a: 10}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16.07 + -16. Let z = y - 0.0699964. What is z rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2353 + -11766\/5. What is the second smallest value in -13, 0.8, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -4*w - 70*d + 72*d, -35 = 3*w - 4*d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -224*(12 - (-430)\/(-35)). Solve -2*c = -54 + p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23528*n**5 - 176500*n**4 - 412040*n**3 - 353620*n**2 - 94712*n - 160 = 0. What is n?\nAnswer: -4, -2, -1, -1\/2, -5\/2941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 201*u**2 - 10092*u + 284. Determine w(104).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.54 - -0.54. Let z = -0.5 - -0.1. Sort z, -6, k in descending order.\nAnswer: k, z, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**2 - 275*z + 3330 = 0. Calculate z.\nAnswer: 18, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3562525 - 1192525. Suppose d = -2*d + m. Round d to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*k + 7059 - 29367 = -988*k for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/89 - -366\/445. Suppose -2*g + 0 + 4 = 0. Let i be 4\/g - 150\/80. Which is the smallest value? (a) -4 (b) i (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 658648 and 493?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*g*l*v + g*l - 33*g*v**2 - g + 4370*l*v**2 - 4784*l*v - 6*l + 7*v wrt v?\nAnswer: -66*g + 8740*l","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 208\/156 - ((-190)\/108 + -1). Let t = -25\/6 + l. Which is smaller: t or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 616.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*6 - (-42 - -48). Solve 3*r + 21 = -3*g, v*g + 3*g = -4*r - 26 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2 + sqrt(684) + 4 + 2 + 5 + -3)**2*5 + 3.\nAnswer: 180*sqrt(19) + 3468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -h**4\/24 + h**3\/3 + h**2. Suppose -5*b + 0*b = -15. Give z(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i + 5. Let c be q(2). Let l = 12.1 - 11. Let d = 484 - 3394\/7. What is the nearest to c in -0.1, l, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1829358 is divided by 14205?\nAnswer: 11118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + 8 - (0 - 2)*6. Suppose -g*y - 20 = 10. List the prime factors of (-3)\/(5 + y) + 180.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/12*4 + -1. Suppose 2*s - a + 8 = 3*s, l*a = -5*s + 36. Let m be -1 + (-4 + 502*s - 3). Round m to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 630972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 8*n = 5*n + 186, -27*n + 5*n + 53 = -3*c - 99 for c.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 13 = -5*b + 30, -5*b = 2*a - 37. Suppose 2*z - 15 = -3*n, -n - 2 = z - a. Solve -1 = -3*k - n for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/217 and -16\/262395?\nAnswer: 8134245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*i + 93*i - 1682 = -u, -4*i - 4982 = -3*u. What are the prime factors of u?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n - 2*n + 3*n)*(2 + 0 - 4 + (1 - 4 + 7)*(0 - 2 + 4)) as o + s*n and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 3 - -1) + 2 - 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.1 + 1.7. Let d = -3\/16 - -27\/16. Which is the nearest to -2\/7? (a) d (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -209 divided by -4\nAnswer: 209\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-27)*3*(-6)\/36.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 3*r - 68 + 66, 5*z - r - 12 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**3 - 4*w**2 + 7*w + 4. Let t be (-61)\/(9272\/114) - 1\/(-4)*-9. Let l(d) = d + 1. Determine t*l(v) + i(v).\nAnswer: 2*v**3 - 4*v**2 + 4*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**2 + 5*p. Suppose 6*l - 16 - 88 = -20*l. Let o(s) = -s**3 - 2*s**2 + 4*s. What is l*w(v) - 5*o(v)?\nAnswer: 5*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*o - 1155 = -24*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2. Let o(d) = 16647*d**2 - 2*d + 12. Let z(r) = 16648*r**2 - 2*r + 10. Let w(m) = -5*o(m) + 6*z(m). Determine w(j(h)).\nAnswer: 16653*h**4 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 6 = -41*g + 42*g, 3*g - 5*d = 37. Suppose -g*p + 6*p = 4*c - 604, -2*p = 0. What are the prime factors of c?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59 + -96. Is -36 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/(-15))\/(2\/5). Suppose -3*n - 4*u + 37 = 0, 4*n - x*u = n + 49. Let h = n - 11. Solve -4 = -h*d - 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 5*f**2 - 3*f - 50. Let u be v(-6). Find the third derivative of n**u + 3*n**2 + 11*n**4 + 19*n + 299*n**3 - 292*n**3 wrt n.\nAnswer: 288*n + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12\/5 in -2\/9, -7, 4\/39, 2\/49?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/24301 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1435 + 3743. Let j = x + -1268. What are the prime factors of j?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 15, 0 = 4*g + 10*o - 12*o - 834. Do 205 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5831 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -11. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.32 + 0.68. Let a = 4 + 3. Let x = a - h. What is the biggest value in x, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 6:03 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 l, and 1 q when three letters picked without replacement from {k: 1, r: 1, q: 2, n: 4, l: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23878*t + 3097*t - 2353*t.\nAnswer: -23134*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 - 3*p**2 - 5*p**2 + 10*p**2 - 2*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10585 and 4745.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19.0207 + -0.0207. What is the closest to -0.1 in -1, 0, w, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*d + 3 = 0, -d - 45 = -5*l - 6*d. Suppose -2*r = -4*y + 4, 4*r - 6*y + l = -y. Let w(f) = -f**2 - 6*f - 2. List the prime factors of w(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -132 + -120. Find the common denominator of (-2 - 54\/(-28))*(-5369)\/(-78) and (-382)\/r + 3\/7.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35.745 + 39.8. Let w = v - 0.055. Let u = 1.2 - 1. Which is the smallest value? (a) u (b) -2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 79615 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.43 + 98.57. Let z be 3 + (-1 - 0) - 420\/195. What is the biggest value in z, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75 and 8.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111, 551, 1273, 2265, 3515?\nAnswer: 5011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q**2 - 3*q - 4. Determine c(-3).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 0.33.\nAnswer: -4.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1.2*-17258\nAnswer: 20709.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -35?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14706 is divided by 1029?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -1028*p + 280. Let x(a) = -343*a + 93. Let y(s) = 3*n(s) - 10*x(s). What are the prime factors of y(4)?\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 + 71 + -20 + 3 + 1 + -2 - -84?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1207 or 294632?\nAnswer: 294632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, b: 3, u: 5}. What is prob of sequence uu?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63036 divided by 21012.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i - 9 + 9)*(i**4 - 4 + 4) + 485*i**5 + i**5 + 190*i**5.\nAnswer: 672*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1763*t**4 + 12*t - 19.\nAnswer: 21156*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16222381 and 4.2?\nAnswer: -68134000.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.3 - -8.3. Put 0.2, w, -4, -2 in ascending order.\nAnswer: -4, -2, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4694 - 2*o - 4719 + 0*o. Determine c(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*x + 25 = -16*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, 713, 3.\nAnswer: -6, 1, 3, 713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 766.1193 years in months?\nAnswer: 9193.4316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2. Let b(f) = -226987*f - 1. Give b(v(w)).\nAnswer: -453974*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n + 23*n = 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 10:53 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a millennium in months?\nAnswer: 19500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*v + 42. Suppose -w - w = -v. What is the second derivative of -5*i**w + 3*i**5 - 2*i**5 - 10*i - 2*i**5 wrt i?\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503\/(26\/(-12) + (-25)\/(-10)) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 66*y + 65. Let v = -67 - -76. What is the hundreds digit of o(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20*j - 13*j + 52*j)*(529*j + 1287*j + 834*j - 134*j) in the form y*j + f*j**2 + p and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 958 divided by -479?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 614?\nAnswer: 3684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -39913831*s**2*u + 2*s*u**2 - 3*u**2 - 2*u + 25139031 wrt s?\nAnswer: -79827662*s*u + 2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3.8, -14, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (14 + 0 + 4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -69.5, -136, -9\/8, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 2:03 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-3) + 1915 + 9*8\/12. What is the highest common factor of 364 and l?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 0)\/(-3) + 14. Let i = s - 8. Is i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 37*g**3 - 1444*g**2 + 36*g + 83. Calculate z(39).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*a + 2*a + 18, 0 = 5*h - a - 31. Let q(t) = 3*t + 1. Let i(z) = -6*z - 2. What is h*q(b) + 3*i(b)?\nAnswer: 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.87 - 0.\nAnswer: -2.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.337, -4, -3 in ascending order.\nAnswer: -4, -3, -0.337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + sqrt(468) + 3 + 5 + 2*(-3 + sqrt(468) + sqrt(468)) + -3*(-1 + sqrt(468))*-5 + 0)**2.\nAnswer: -3276*sqrt(13) + 206557","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 1644*g + 1640*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 131455744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*n - 27580 - 30445 = 0. What is the highest common divisor of n and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -w**6\/150 + 11*w**5 - 15125*w**4\/2 + 8318750*w**3\/3 - 582*w**2. Determine y, given that r(y) = 0.\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33438864079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 14*o + 8. Suppose 5*u - 2*w - 28 = 2*w, -u = 2*w - 14. Let t be i(u). Calculate the greatest common divisor of 8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/3))**(-2\/5)*t**(1\/6)*t*t**(-2)*t*t assuming t is positive.\nAnswer: t**(9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9524, -12130, -16478, -22568, -30400, -39974, -51290?\nAnswer: -64348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -203313 (base 5) to base 15\nAnswer: -1ec3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, b: 1, v: 5, p: 4, l: 5}. What is prob of picking 4 l?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 335 = -150*s, 1899*m - 1897*m - 4*s - 22 = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45518588 is divided by 163149.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7610477 a multiple of 1071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 241 - 239. Solve 0 = q - f*n + 5, -q - 2*n - 5 = -5*n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 - 62515*k.\nAnswer: -5*k*(k + 12503)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 7*h**2 - 4*h. Let l be m(-6). Suppose 4*r + 2*w = 56 + 22, -w = -1. Let s = r + l. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*y - 55*y - 3*y**2 - 66*y - 279*y.\nAnswer: -3*y**2 - 278*y","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 3905112712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/6, 2\/3, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -18*t**3 + 9*t**2 + 0*t**4 + 0*t + 91\/60*t**5 + 5. What is the first derivative of h(p) wrt p?\nAnswer: 182*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 177*j**3 - 9*j**2 + 2*j - 3. Let t(y) = 2*y**3 - 2*y**2 - 1. What is 3*t(f) - w(f)?\nAnswer: -171*f**3 + 3*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -120497, 5, -11 in descending order.\nAnswer: 5, -11, -120497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -117 - -122. Suppose 8 = 2*c, -j*s + 3*s - 2*c = -12. Suppose 7*n - 18927 = -s*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(3 + o - 3) + 4 + 2 - 10 - o + 13*o + 16*o + 77 - 31*o.\nAnswer: -4*o + 73","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 5. Let r be g(-7). What is the smallest value in 0.4, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 42980, 42986, 42992, 42998?\n\"Answer: 6*a + 42974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/(-15))\/((-7 - -3)\/(-20)). Let u be x\/((-4)\/13) + -4. Suppose -4*i - 7 = u. What is the second biggest value in i, 0.04, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 20 + -7?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -235\/2, 4, -1\/6, 0, 23.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6105456 divided by -9072.\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 338253 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1194 = -24*w - 3*w + 330 for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -553.8 + 553.800015756. Round q to six dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 (base 15) in base 10?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64106 is divided by 369.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4\/2 - 201*a**3 - 5481*a**2\/2 - 9506*a.\nAnswer: -a*(a + 7)**2*(a + 388)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 77*r**3 + 4*r**2 - 57*r + 53. Let k be w(1). Solve 74*m - k*m + 15 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - f - 460320, 42*f = -4*q + 45*f + 368245. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1429, 6, 3, -17, 0 in descending order.\nAnswer: 1429, 6, 4, 3, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - 46. Let o = d + 53.036. Let r = -0.12 + o. Round r to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145, -271, -481, -775?\nAnswer: -1153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 244110915\/7 and 34872988 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120, 100, 82, 66, 52, 40, 30?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxzlzlxzl. Give prob of sequence ll.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -407420 to the nearest ten thousand.\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3241581 at least as big as 3241603?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 17*f - 19. Let a be o(2). Suppose -5*l - 100 = -a*l. Sort 4, -1, l, 3 in decreasing order.\nAnswer: l, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/9, 1, -0.074?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 4622565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 314 = -3*i, 5*i - 6*m - 490 = -11*m. What is the remainder when 1118 is divided by i?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 u when two letters picked without replacement from {i: 11, u: 9}.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4152 - 4152.1087. Round k to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 442 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 31\/5 of a microsecond?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -219\/4 + 55. Is -0.1 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13948 is divided by 99?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243*i**3 - 441*i**3 + 212*i**3.\nAnswer: 14*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 1808.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11\/(-3) + 2\/(-6). Suppose 122*r = 169*r - 2256. Let z = r + -48. Sort o, z, -2, -1.\nAnswer: o, -2, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 55864*v**3 + 3 - 9245*v**3.\nAnswer: 46619*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*d - 28*d = -4, -2*c - 5*d = 16. Solve -30*p + 28*p = -a + c, 0 = 3*p + 5*a - 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 12:42 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n + 4. Suppose 2*y = -2*y + g + 104, 0 = -5*g - 20. Let b = -21 + y. Let z(v) = -v + 3. Let w be 6\/(-30) - (-28)\/(-10). What is b*z(a) + w*o(a)?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 7*d**2 + d + 6. Let s be u(-7). Suppose -4*p = 3*y - 90, p + y + 4 = 27. Suppose 8*v - p = -5. Do v and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/180032328 and 107\/2381380?\nAnswer: 900161640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/3 + 5368*z**2\/3.\nAnswer: -z**2*(z - 5368)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136 and 272.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*v + 28*v - 48 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1118776658?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence as when two letters picked without replacement from {d: 8, s: 1, a: 6}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/209 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -13 + (16 - 8) + 144891. Let h(l) = 49*l**3 - 144886*l**2 + l + o*l**2. Calculate h(1).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -492 divided by -6\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*g = 44*g + 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/3)*(z*z*z**(-2\/3))\/z*(z**(-2))**(-33) assuming z is positive.\nAnswer: z**67","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*s + 174*s + 1 - 90*s.\nAnswer: 204*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3702, -7405, -11108, -14811, -18514, -22217?\n\"Answer: -3703*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7048 - 7048 + y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-9))\/(7*(-26)\/2457).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.72 - 1.6. Round v to 2 decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30\/(-45)*54\/(-4). Suppose -3 = -2*l - u. Put 3, 10, l in ascending order.\nAnswer: l, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*l + 0 + 0*l**2 - 4\/3*l**5 - 8\/3*l**4 + 0*l**3.\nAnswer: -4*l**4*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.57, 0.5, 7 in descending order.\nAnswer: 7, 0.5, -0.57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvpp when four letters picked without replacement from {p: 1, v: 11, e: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lqk when three letters picked without replacement from qllkcc.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 32010*q + 128066. Give m(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-49)\/3)\/((-2478)\/531)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2714?\nAnswer: 2, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2531179 + 2531179 + 53*j**2.\nAnswer: 53*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 3:29 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g + 20. Let t be i(-9). Let x be (-222)\/(-12) - 3 - (-1)\/t. Calculate the greatest common divisor of x and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/20)\/(4\/10). Suppose 2*g = -l + g + 9, 0 = y*l - g - 6. Solve 0 = -2*j + 6*j + 3*a - l, 5*j - 14 = 4*a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -526*q**5 - 3*q**2 - 2156*q wrt q.\nAnswer: -10520*q**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*h + 1205 = 905. Let x(o) = o**2 + 4*o - 9. Let b be x(-6). Solve -c - 2*d + 0*d = 7, b*d + h = -c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1465144670?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 163*u**4 + u**3 + 2*u + 1254. Let p(a) = -977*a**4 - 7*a**3 - 13*a - 7526. Let q(h) = 13*k(h) + 2*p(h). Differentiate q(m) wrt m.\nAnswer: 660*m**3 - 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.69 plus -0.15022830296?\nAnswer: 2.53977169704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -12. Let o = -15 + y. Is o equal to -1.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 0*l + 2*l)*(0 - 3 + 1)*(13*l + 15*l**3 + 161*l**3 - 12*l).\nAnswer: -1056*l**4 - 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2205860708.\nAnswer: 2, 19, 491, 59113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -37 + -1?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15952, -18908, -21864, -24820, -27776, -30732?\n\"Answer: -2956*u - 12996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 4 = -3*c. Suppose 3*j = -4*w - 2, w = c*j - 4*w - 43. Is 167\/5 - j\/(-10) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 107 - 96. Put o, 2, 5, -2\/3 in descending order.\nAnswer: o, 5, 2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7091056?\nAnswer: 2, 7, 63313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - (58 + -71)) + 96.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -136*u**2 + 10*u - 12.\nAnswer: -272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 42\/(-98) + (-2)\/14. Put v, 2\/17, 1\/6, -4\/5 in decreasing order.\nAnswer: 1\/6, 2\/17, v, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 10*d - 16. Let h(q) = 2*q + 3. Let p(y) = -f(y) - 2*h(y). What is p(8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -6. Let q be (9\/(-27))\/(n\/9). Let u be (-4)\/q - 6\/(-9). What is the highest common factor of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/2, -7, 2\/15, -0.76, -0.02?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 2, -6\/11, 662, 1\/4?\nAnswer: 662","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2373 or 30842\/13?\nAnswer: 30842\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, o: 1, s: 1, c: 2}. What is prob of picking 1 o and 1 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-1)\/20)\/((-11)\/(-143)).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*h - 1. Let c be (1\/(-2))\/(h\/(-20)). Solve -s - 20 = -c*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*2*sqrt(190) + sqrt(190))*-1)\/(sqrt(100)\/(2*sqrt(250))).\nAnswer: -70*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = t - 3*p - 126, 18*t + p - 121 = -15*t + 5*p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 5*b + 5, 5*b + 0*b + 22 = 4*y. Let x be ((-1)\/5 + 231\/55)\/1. Suppose y*k = x*k. Solve -u + n + 4*n = 12, k = -u + 2*n - 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -161ca - -15?\nAnswer: -161b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 43926131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2179.891696 + -2.\nAnswer: -2181.891696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.73 + -5.7. Let h = -0.4 - -4.4. Let s = h + y. Round s to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 229966615?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10762.\nAnswer: 2, 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -98225\/14814 - -16\/823. Find the common denominator of -53\/12 and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59024b (base 12) to base 15.\nAnswer: -1d408b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 12:34 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -348*r + 19. Let v be (-5 - 7)*(1 + 0). Is q(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0079690008 rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 18 + 28)*(d**2 - 5*d + 5*d).\nAnswer: 50*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 10:04 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*n = -154*n - 3370 - 275 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -17*l**2 - 23*l + 21. Let w(f) = -8*f**2 - 11*f + 10. Let z = 9 - 1. Let x = -5 - z. Let o(i) = x*w(i) + 6*j(i). Calculate o(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -7*n**3 - 5*n - 8. Let i(x) = -2*x**2 - 34*x - 55. Let t be i(-15). Let p(h) = 8*h**3 + 6*h + 9. Determine t*p(v) + 6*j(v).\nAnswer: -2*v**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 358823177?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -337 - -651. Let y = k + -311. Find s such that 8\/5*s**4 + 8\/15 - 8\/5*s - 14\/5*s**2 + 34\/15*s**y = 0.\nAnswer: -2, -2\/3, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 576948\/5 smaller than 115389?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 60*r - 45*r + 120. Let n(x) = -x + 11. Calculate n(r).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 8:41 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1733 and 17.1?\nAnswer: 29634.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 765, -105145 in ascending order.\nAnswer: -105145, 1\/4, 765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*t**2 - 67*t + 25*t + 25*t + 17*t + 762*t**2.\nAnswer: 635*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4326 and 5250.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 18 (b) 8.1 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, u: 1, q: 1, a: 9, c: 2, b: 1}. Give prob of sequence vuv.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.2 + -51.2. Let m = x - -37. Which is the biggest value? (a) -1 (b) -4\/5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 13*t**2 + 4*t - 1. Let h be y(-3). Suppose 0*b - h = -b. Suppose -4*f + f + b = 4*r, -5*r - f = -130. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 2 - 4*b - 1\/2*b**2. Give j(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a meter in centimeters?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15994, -33232, -50470, -67708?\n\"Answer: -17238*a + 1244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6202 divided by 2?\nAnswer: 3101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2098, 2105, 2132, 2191, 2294, 2453?\n\"Answer: 2*j**3 - 2*j**2 - j + 2099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oop when three letters picked without replacement from {p: 7, o: 6}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + -22 - -9) + 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7362 - -7431. What is the remainder when 1172 is divided by m?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 3*w - 2. Let b be g(1). Suppose -m + 37 = 2*k, 20 = 2*k - k + b*m. Calculate the greatest common divisor of k and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272\/863 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 2*g = 33, -80*g + 86*g = 2*h - 112 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3140 divided by 1?\nAnswer: -3140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2150, -8701, -19630, -34937, -54622?\n\"Answer: -2189*n**2 + 16*n + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 881*k**2 - 173*k + 881*k**2 - 1767*k**2 + 186*k - 13*k.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 16 = 0, -2*m + 4*x = 4391 + 1631. Which is smaller: -2997 or m?\nAnswer: -2997","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, m: 4, r: 4, l: 2}. Give prob of sequence dr.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.404 and 103268?\nAnswer: -41720.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 6*d**2 - 3*d - 5. Let t(x) = -x**2 + x + 1. Let p(u) = l(u) - 3*t(u). Let c be p(-4). Suppose 36*k = 40*k - c. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -173.459678 - -175.8598. Let l = 2.4 - i. What is l rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12284 + 10*p - 10*p - 12284 - 35*p**3.\nAnswer: -35*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (2 + 1 - 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*t + 632 = -0*d, 0 = -3*t. Is (2\/4)\/((-4)\/d) a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 12436414?\nAnswer: -12436415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33041*w - 224*w**2 + 227*w**2 - 33041*w.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 0 + 11\/6*u**3 + u - 5\/2*u**2. Let v(s) = 5*s - 2. Determine -3*m(b) + 7*v(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -4*d + 8, 5*w + 4 = 3*d + 8. Let k be 68\/10 + 2\/10. What is the greatest common factor of d and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 455290?\nAnswer: 2, 5, 11, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 1. Let b = -72.7 - -73. Sort 0.2, b, n in descending order.\nAnswer: b, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57566470.\nAnswer: 2, 5, 13, 23, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62 + 64. Let w(b) = r*b + 4*b - 4*b - b - 7. Let m(v) = -1. Give 6*m(h) - w(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -6 + 15. Suppose 5*b + v + 47 = 0, -4*b + 2*v = -z*b + 5. Let l be b\/(-15) + (-4)\/(-10). Put -0.13, l, -0.1 in decreasing order.\nAnswer: l, -0.1, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 33?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - (sqrt(90)\/sqrt(80))**2) + -5*(1*sqrt(128))**2.\nAnswer: -5129\/8 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 77074791 divided by 1361\nAnswer: 56631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/229475 and 10\/137?\nAnswer: 229475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 45 = 3*f. Let i = 18 + -58. Let t = i - -70. Calculate the highest common divisor of f and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.02*0.1.\nAnswer: 0.302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -71*s - 11. Let t(n) = -24*n - 4. Give 8*t(v) - 3*w(v).\nAnswer: 21*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 132 in 4, -2\/3, -3\/10, 2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - b = 68, 5*b - 7 = -2*j + 31. What is the remainder when ((-92)\/4 + -1)\/(-1) is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/2)\/(-9) + 3\/6. Solve h - 3*h - 8 = v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yby when three letters picked without replacement from yyybyyyy?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21380 is divided by 2886?\nAnswer: 1178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 287*c**2. Let v(g) = -255889*g**2. Determine v(m(k)).\nAnswer: -21077321041*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -139*s - 6. What is the units digit of d(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -13, -151?\nAnswer: -151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 + 33315?\nAnswer: 33325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 7409, 5, -5 in decreasing order.\nAnswer: 7409, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (26\/104)\/(3*4\/(-192))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14094.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -11*m**7\/21 + 7*m**4\/4 + 11*m. What is the third derivative of v(d) wrt d?\nAnswer: -1320*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x + 22. What is the remainder when 6 is divided by o(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.989 + -11.999. Let d = -4 - -6. Which is the closest to d? (a) -2\/13 (b) 4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*p**4*v - 76*p**3*v - p**2 - 36*v + 1 wrt p?\nAnswer: 360*p*v - 456*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.6 - -9.6. Suppose 0 = -8*w + 5*w + 3. Let g = -0.4427 + 0.0427. Sort h, -6, w, g in decreasing order.\nAnswer: w, g, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*l + 110*l = -184*l + 3220 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -9*t + 4. Let r(y) = -4*y + 1. Let h(w) = 5*w - 1. Let f(b) = 5*h(b) + 6*r(b). Give 4*f(n) - z(n).\nAnswer: 13*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**2 + 0*w**2 + 4*w**2)*(6 - 3 - 2)*(327515*w - 19*w**2 - 327515*w).\nAnswer: 19*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-324848982)\/(-8890) - 4\/(-70)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -2 - 1\/12*a**3 - 1\/120*a**5 - 1\/24*a**4 - a**2 + 0*a. Let j(o) be the second derivative of n(o). Factor j(w).\nAnswer: -(w + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-8))\/((147\/14)\/(-7)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58.79 + 59. Let j = -0.09 - o. Sort 5, j, 0.3, -4 in ascending order.\nAnswer: -4, j, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51 - -48) + -13 + 52?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - y. Let i(f) = -f**2 + f + 1. Let z(d) = -14*d**2 + 9*d + 12. Let q(r) = 22*i(r) - 2*z(r). Give -4*b(x) - q(x).\nAnswer: -2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 3*x - 30 + 16, -3*t = 4*x - 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 1. Let p = 5 - 3. Let w(u) = u**2 + 1 + 3 + 2*u**p. Determine 14*t(h) + 4*w(h).\nAnswer: -2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 167140*g**3 + 62*g**2 - 1993*g + 1?\nAnswer: 1002840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 159, -734 in descending order.\nAnswer: 159, 3, -4, -734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6064309645 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4279 + -4284. Let m = 0.2 + 0. What is the nearest to 1\/4 in 23, m, a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.099988 - 3.1. Round x to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-189)\/(-18))\/(-21))\/((-3)\/4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 5*s + 33, -19 + 4 = -5*y + s. Let c be (3 - 1) + (2 - y) + 3. Calculate the highest common factor of 45 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 5*l - 85, -28*l + 26*l = -5*v + 88. Solve -5*h + 4*h + 5 = u, -4*h - 3*u = -v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**2. Let n(p) = 11*p**2 - 17*p - 17. Let b(r) = -4*r**2 + 6*r + 6. Let t(l) = 17*b(l) + 6*n(l). Give d(t(f)).\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -186 and 5.4?\nAnswer: 191.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (2\/(-8) - (15 - (-14469)\/(-756)))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -30, -7 in descending order.\nAnswer: -5, -7, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27238 divided by 52.\nAnswer: -13619\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*r**4 - 1748*r**3 - 10*r + 74658998 with respect to r.\nAnswer: 20*r**3 - 5244*r**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in micrometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 14*o - 28. Calculate t(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**3\/v)\/(v*v\/(v\/((v*(v**(-2\/25)*v)\/v)\/v))))**(-26)\/((v**(-1)*v)\/(v*v**0*v*v))**(-32) assuming v is positive.\nAnswer: v**(-3102\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54206294.\nAnswer: 2, 27103147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 10*w**2 - w + 10. Let b be o(10). Suppose b*c + 43604 = c. Suppose -6*l + 3*l + 108988 = -5*y, -2*y - c = l. Round y to the nearest 1000.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, a: 1, r: 7}. Give prob of sequence bar.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -2*n**3\/3 - 4. Let j(k) be the first derivative of -3*k**3 - 5*k**2\/2 + 328. Determine j(b(y)).\nAnswer: -36*y**4 + 10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13662, 13645, 13628?\n\"Answer: -17*o + 13679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/30 and 46\/2841.\nAnswer: 28410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 121*o - 4*o - 116 - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -364 (b) 30 (c) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-9 + -8 + 27 + -96 - (-8 + 1))\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, p: 3, y: 2, m: 3, z: 3}. What is prob of sequence zm?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = o + 5, 2*h - 6*h + 38 = 2*o. Calculate the remainder when 102 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 630965 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50049 = 5*w + 3*w - 50073 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 11351.89 to the nearest ten.\nAnswer: 11350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19461 is divided by 103.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 8:29 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 608 divided by 4441\nAnswer: 608\/4441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84 + 319. What are the prime factors of m?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -273 times 106.256\nAnswer: -29007.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 191450 and 6400.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 99 + 204 = -5*z, -3*b + 99 = -12*z for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -3 (b) 116\/13 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 25*c**2 - 8*c - 25. Let p be z(20). Suppose 36*k - 25*k - p = 0. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -1313?\nAnswer: -4\/1313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 35*m = -56*m - 243 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v**3 - 2*v**2 - 2*v + 2. Let i be -11 - ((-240)\/8)\/6. Let q(r) = 25*r**3 + 17*r**2 + 17*r - 17. Calculate i*q(y) - 51*c(y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62863688*o**6 - 68*o**2 + 283995 wrt o.\nAnswer: 7543642560*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -714 (b) 1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.73 + 1.97. Let m = -16 - -28. Let b = y - m. What is the third biggest value in -7, b, -1\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 + 4)*(480*v - 480*v + 24*v**2) + v**2 + v**2 - 3*v**2)*(-2*v - 4*v + v).\nAnswer: -355*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*z**5\/11 + 222*z**4\/11 + 20*z**3\/11 - 680*z**2\/11 - 688*z\/11 - 192\/11 = 0. What is z?\nAnswer: -12, -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1 + (-6 + 3 + 1)*(-4 + 6 - 3) - 3 + 7 - 2 - 7 - 3 + 41)*(59*k**3 - 59*k**3 + 7*k**5).\nAnswer: 231*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 617169 and 10051038.\nAnswer: 70357266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 231 and 1197?\nAnswer: 13167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 114739.2 + -114739. Let b = -0.4 - 1.6. Sort z, -6.5, b, 0.4 in ascending order.\nAnswer: -6.5, b, z, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 20*k**2 + 48. Calculate the smallest common multiple of 14 and i(-10).\nAnswer: 7336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, z: 4}. What is prob of picking 3 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/2)\/((-14)\/4). Which is bigger: -5\/6 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 134*u**2 + 4 - 5.\nAnswer: 134*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 726 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 226 - 2612 = -4*o, -3*o + 951 = r. Suppose -r = -5*l + 3*x + 3923, -4*l + 4*x + 3900 = 0. Round l to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 35796, 71647, 107554, 143517, 179536?\n\"Answer: 28*z**2 + 35767*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 603*b - 52326. Give v(105).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 16*c + 60. Let g be r(28). What is the highest common factor of 36 and g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m + 1. Let c(a) = -5*a**3 - 4*a - 4. Suppose -2*s + 27 = 5*f, 0 = 7*s - 2*s - 5*f + 20. Determine s*c(z) + 4*r(z).\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 184 and 3036?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1321086 (base 9) in base 3?\nAnswer: 1100201002220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 879 is divided by 29.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3507 and 200901?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 + 5 = 3*j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + 3*x**2 - 6*x**2)*(4*x + 4*x - 2*x**2 - 7*x + 5).\nAnswer: 6*x**4 - 3*x**3 - 15*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4616, 9222, 13828, 18434, 23040?\n\"Answer: 4606*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 246163227 to the power of 1\/2, to the nearest integer?\nAnswer: 15690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219*z**3 + 375*z**2 + 218*z**3 + 241*z**2.\nAnswer: -z**3 + 616*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 2*t - 31. Suppose 0 = t*x - 2*b, -3*x + b = -8*x + 13. Solve -2*h = -2*z + 4, -x*z - 2*z = -2*h - 10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 10 = 0, 4*b - 2*h - 8 = -0. Let l(p) = 8*p - 1. Calculate the remainder when 12 is divided by l(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 10*f - 5. Let x(h) = -31*h + 17. Determine 7*n(p) + 2*x(p).\nAnswer: 8*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 186\/5*a**5 + 177*a + 0*a**2 + 27 + 0*a**4 + 0*a**3. What is the first derivative of t(g) wrt g?\nAnswer: 744*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4 = 5. Suppose 6 = -2*o, -f + 4*f - o - 3 = 0. Let n be (5\/5)\/(1 - f). Put n, -2, d in decreasing order.\nAnswer: n, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 + 2*u**4 + 0*u**2 + (0*u**4 + 3*u**4 - u**4)*(-4 + 2 + 4) - 4*u**4 - 2*u**4 + 4*u**4 + u**4 - 4*u + 4*u + (-3 - 5 + 6)*(2*u**3 - 2*u**3 - 2*u**4).\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 96875288953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 6*n + 317. Let h be x(-51). Let c(q) = -q**2 - 10 + 45 - h + 2*q**2 + 11*q - 11. What is c(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -15*j - 2. Let m(b) = 340*b + 615. Let s(z) = -10*z - 18. Let n(o) = 6*m(o) + 205*s(o). Determine r(n(h)).\nAnswer: 150*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-110)\/4)\/(11\/(-22)). Let z = 92 - 70. Calculate the greatest common factor of z and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**4 + 7*c**3 - 6*c**2 - 6*c - 6. Let a(b) = 3*b**4 - 20*b**3 + 17*b**2 + 17*b + 17. Let y(w) = 6*a(w) + 17*s(w). Factor y(x).\nAnswer: x**3*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t**3 - 3*t**2 + t - 6. Determine b(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-501)\/45 + 11 - 628\/15. List the prime factors of 4 + 161\/o - (-31220)\/24.\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/(-27) + (-1132)\/(-990) and 68\/3?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2573 - -2568. Put 6, -4, 14, b, 8 in increasing order.\nAnswer: b, -4, 6, 8, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f = -14*f - 4. Solve f*s - 5 = 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 + (-17 + 74 - 66)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 129.49659 milliseconds to days.\nAnswer: 0.000001498803125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8221 + -8209 + (1 - (11 + 2 + -3 + 3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 224\nAnswer: -44.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2952 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157250?\nAnswer: 2, 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 10*d + 10 - 66, 4*d + d + 2 + 28 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -55*u + 51 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o**2 + 8*o**2 + 0*o**2. Let q(c) = c - 4. Let k(f) = -f + 3. Let b(t) = 4*k(t) + 3*q(t). Calculate b(d(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 535*f = 17*f + 387982. Which is greater: f or 754?\nAnswer: 754","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 26*y**2 - y - 318. List the prime factors of l(-24).\nAnswer: 2, 3, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-6)*y)\/y*y*y*y**2*y)**24 assuming y is positive.\nAnswer: y**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -505, -514, -523, -532, -541, -550?\n\"Answer: -9*p - 496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2016 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2100 or -1295540\/617?\nAnswer: -2100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 11*p + 4. Suppose -g = -0*g - 3. Is o(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.324554 weeks?\nAnswer: 196290.2592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/19 in -1\/2, -1\/31, 0.2, -0.2, -181?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 2*o**2 - 3*o + 1. Let k = 23 - 21. Let g be v(k). Calculate the greatest common factor of g and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 20*x**7 - 35*x**3\/3 - 17. What is the third derivative of c(n) wrt n?\nAnswer: 16800*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/2 - 540983*z - 20556993\/2.\nAnswer: -(z + 19)*(z + 1081947)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15282 to the power of 1\/2, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r - 3. Let n be b(-5). Suppose -4 - 12 = -n*w. Let q(m) = 4*m. Does 13 divide q(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1498)\/55 - (-4 - (-44)\/10). Let r = -2238\/77 - g. What is the nearest to r in 0.4, 0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h = 112*h - 27*h - 665 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**5\/60 - v**4\/12 + v**3\/2 - 18*v**2. Let a be z(-4). Is (3 + 13\/a)*15 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 234 and 6669?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5062607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o - o**2 - 15*o**3 - 1 + 16*o**3 + 2*o**2. Calculate m(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18997645*m**3 + 400211610 wrt m.\nAnswer: -56992935*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -32\nAnswer: -6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 6 = -0*c + 2*t, 4*c - t - 3 = 0. Suppose -6*k - 655 + 2917 = c. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oe when two letters picked without replacement from {q: 12, o: 5, e: 2}?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22268327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5*w - 1210, w - 407 = -2*o + 83. Which is greater: o or 246?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 61490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 7 + (-5)\/(-80)*-52. What is v in -57\/8*v**3 - b + 45\/8*v**2 + 21\/8*v**4 - 3\/8*v = 0?\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 10 = -0*r. Solve -5*g = -10, 3*d + r = -d - 5*g for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**6\/180 - 27*k**4\/4 + 70*k. Let p(y) be the third derivative of s(y). Let t(f) = 18*f**2. Calculate p(t(i)).\nAnswer: 72*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 264*d - 8856 = -66*d for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*l + 2*d - 11822 = 0, 5*l + 5*d - 14775 = 0. What are the prime factors of l?\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 7:11 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 2:24 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*v + 20 = -71*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 106776630 to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 11:24 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/5 and 345\/(-10) + -4 - -4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 74, 67?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394 = 466*g - 1782 - 1552 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4\/8 + 3939*u**3\/8 + 1146369*u**2\/8 - 98838567*u\/8.\nAnswer: 3*u*(u - 69)*(u + 691)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**4 + 24*a**3 + 972*a**2 + 4320*a.\nAnswer: -3*a*(a - 24)*(a + 6)*(a + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.070001 times 19.34?\nAnswer: 1.35381934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4095543071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 674247 and 699564.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.13, -0.2, -1\/4, 4\/9?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/34 + (-15252)\/(-6324)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 1) + 5 + (-2 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 9*h - 8*h - 24, -3*p - h = -64. What is the lowest common multiple of 1284\/10 - ((-12)\/p - -1) and 4?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (-5 - 5)\/(-10). Which is smaller: t or 3\/175?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((6\/(-2))\/((-30)\/70)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 213689101*d**3 + 75682*d**2 - 12*d - 4 wrt d?\nAnswer: 1282134606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2491*o + 2489*o + 4876. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 12:57 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 659137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c + 15. Let y be s(-7). Suppose y = i - 3. Calculate the highest common divisor of 22 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000124 (base 6) in base 2?\nAnswer: 1011011001110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19772 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h + 3*h - 4*h + (-1 + 1 + 4)*(0*h - 8*h + 3*h).\nAnswer: -19*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -78, -181, -286, -393, -502, -613?\n\"Answer: -f**2 - 100*f + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(187)*2)\/sqrt(11).\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1262*h**3 + 634*h**3 + 627*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124602 is divided by 38?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -144 + 143.5. Sort -1, h, 3, 0.2 in descending order.\nAnswer: 3, 0.2, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3139237*h**3 - 11117*h**2 + h + 60 wrt h.\nAnswer: -18835422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.11 + 0.11. Suppose -3*y + 15 = 2*y. Suppose -2*h = y*h. Which is the nearest to h? (a) x (b) 0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/6534 and 41\/6426.\nAnswer: 777546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 294*k**2 - 579*k**2 + 307*k**2.\nAnswer: 22*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -22101410 (base 7) in base 14?\nAnswer: -376477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -68, -1, -984, -8, -4.\nAnswer: -984, -68, -8, -4, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 32*q**2 + 33*q - 11. Suppose 3*r = -2*f + 101, 0 = 2*r - 3*f - 47 - 3. Let v be k(r). Which is smaller: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and 2245625.\nAnswer: 2245621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 2. Suppose -u = 3*u - b*c - 152, 5*u = 3*c + 189. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4030 + 4027. Are 67 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + (-582)\/(-147) + 0. Let d = q - -132\/833. Which is the closest to -0.1? (a) d (b) 1 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 23*i**2 - 286*i + 83. Calculate y(-32).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -0*z. Suppose z = n + 1, 3*x - 4*n - 16 = 51. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ywyybwowwtotwyytwtt. Give prob of picking 2 w and 1 y.\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -55*b + 15. What is the hundreds digit of s(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2638*f - 459*f**6 - 2639*f - 1761*f**6 + 276*f**6 - 94*f**2 wrt f.\nAnswer: -233280*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 3*j + 3. Let s be i(-3). Is (2 - s)\/(2\/(-106)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-16) + (-567)\/168. Sort -3\/13, l, -2\/31 in descending order.\nAnswer: -2\/31, -3\/13, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -7*y. Let o(z) = 224*z + 1. Determine n(o(g)).\nAnswer: -1568*g - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-3066)\/657*(-9)\/(-231)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 4*o**2 + 5*o**2)*((3*o - o - o)*(-1 + 1 - 4) + 0 + 0 + 2*o + 0*o - o + 0*o)*(-5*o**2 + 5*o**2 + o**2).\nAnswer: -6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/((-15)\/6) - 0. Let p be ((-7)\/(-3))\/(m\/(-6)). Let d = p - -15. Solve -3*q + 2*o + d = -2*q, 0 = -2*q + o + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*-4.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.19 - 0.29. Which is the closest to r? (a) 3 (b) 0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(3 + (-4 - 0))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 630074.\nAnswer: -1\/315037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and -105.6.\nAnswer: -105.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85 + 92. Suppose -n*v = 12 - 26. Solve -t = 2, 3*m - 5*t - 8 = v for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - t - 42. Suppose -2*y = -3*y - k - 9, -3*y = -k + 35. Let o be (0 - (3 - 5))*-2 + y. Are o and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 407441 to the power of 1\/2, to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 409357738 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2450202 (base 8) to base 11\nAnswer: 421959","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from ablrrll?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 26*s + 173. Let h be c(-11). Solve 9*k + h = 17*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -6*m + 13. Let a(y) = -9*y + 20. Let l(x) = -5*a(x) + 7*g(x). Suppose 4*v - 8*v = -36. What is the units digit of l(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(8 - 0)\/4*-2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165163 is divided by 499?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i + 10. Let w(v) = v - 8 - 3 - 5*v. Let d(c) = 4*f(c) + 5*w(c). What is the units digit of d(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75)*4)\/sqrt(3))\/(sqrt(245) - (sqrt(245) - -1*sqrt(245))).\nAnswer: -4*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f**3 - 508*f**2 - 4*f**3 + 1174*f**2 - 666*f**2 - 2*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -434 - -139. Let b = j - -297. Solve 0 = b*x - 3*x - 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 23*g**2 + 38*g - 5. Is o(23) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-73)\/584)\/(((-10)\/(-35))\/((-90)\/(-21))).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2101323 - 202?\nAnswer: 2101121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(10) - sqrt(360)) - (0 + sqrt(968)).\nAnswer: -111*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*c - 3*g = -6, -4*c + 4*g + 24 = 0. Let r = 29 - 25. Suppose 8 - r = p. Calculate the lowest common multiple of c and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -o**2 + 129 + 178*o**4 + 4*o**2 - 3*o**2 - 75*o**4 wrt o.\nAnswer: 412*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/21 of a week in hours?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 1 + 10 + 1. Suppose -599*f = -596*f - 9. Suppose f*n - r + 5 = 0. Solve n*m = 3*m - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to -258984621?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from 29.3329544.\nAnswer: 27.3329544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (y - y + y + (-4 + 1 + 2)*(3 - 2*y - 3))*(-2287 - 11 + 274) as n + r*y and give r.\nAnswer: -6072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/9)*b*b**(1\/7)\/b)**(-34) assuming b is positive.\nAnswer: b**(-68\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.87 + 0.13. Let a = -0.093 - -0.293. What is the smallest value in a, -1, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -283202 and -283202 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 456*g**2 - 115*g**2 - 113*g**2 - 117*g**2 - 112*g**2. Let s(z) = 183*z + 2. What is s(q(n))?\nAnswer: -183*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1875330.8 to the nearest one hundred thousand.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 28. Calculate the greatest common factor of w and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1693529760688.3 less than 0.4?\nAnswer: -1693529760687.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + l - 71. Let q be i(9). Suppose 0 = q*o - 18*o - p - 23, o = -p + 19. Solve -4*g = n - o, -g - 2*n + 7 + 7 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 10:54 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k - 20 = 16 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 3, 4, 777, 1, -6 in decreasing order.\nAnswer: 777, 4, 3, 1, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*((sqrt(330) + (sqrt(330) - (sqrt(330) - (sqrt(330)*1 + sqrt(330)) - sqrt(330))))\/sqrt(11))\/((sqrt(10) + sqrt(90))*4))**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sqgsdqsgsssgsqqdqdq. Give prob of sequence sgg.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 184556*b**2 - 1257*b - 823073824 wrt b.\nAnswer: 369112*b - 1257","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 66 = -21*i, -i - 1264 + 1312 = 17*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.12 + -0.08. Let r = -0.200012 - i. Round r to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h**3 + 64*h**2 - 110*h + 34. Calculate v(10).\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-7 - (-1 - 4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6*u**3 + 19*u - 2. Let n be 738\/(-984)*(-12)\/(-1). Let j(t) = 13*t**3 - 37*t + 4. Give n*o(g) - 4*j(g).\nAnswer: 2*g**3 - 23*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2713272899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -3, -18, -51, -108, -195, -318?\nAnswer: -483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -14.15. Let w = x - 0.15014. What is w rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -32368692 and 6.\nAnswer: -32368686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 105*p**2 + 225*p + 1413. What is l(107)?\nAnswer: 2590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 457.0773382 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (3564\/8019)\/((3560\/45)\/(-4))?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = -d + 3*i, 11*d + 3*i + i - 36 = -0*d + 14*d + 2*i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -g - 3*g + 2*g + (5*g - 3*g + 2*g)*(-2 + 2 + 1) + 694*g + 1557*g - 462*g + (-3 + 6 - 2)*(-2*g - 2*g + 6*g) as i*g + j and give i.\nAnswer: 1793","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -10 - 8. Suppose -45 = -3*k + r + m, -3*r - 101 = -5*k. What is the greatest common factor of k and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 113 - 71 = 0. Let v be 2 - 4 - (-18 + i). Solve 4*w - 2 = v*y + 8, -4*w = 4*y + 8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, u: 4, p: 2, i: 9}. Give prob of sequence uv.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 9\/5*a + 6\/5 - 12\/5*a**3 + 3\/5*a**5 - 6\/5*a**2 + 0*a**4 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + 16821?\nAnswer: 16814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -158?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**3 + v**2 + v + 6. Let y(i) = -i**3 + i + 3. Let a(z) = 3*t(z) - 7*y(z). Determine a(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of a + 4 + 4\/3*a**3 + 3\/2*a**2. Is 18 a factor of p(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15189 and 8421843.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(12555\/(-2510) - -5). Is ((-15)\/10)\/(1\/q) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*m**2 + 19*m**2 + 14*m**2 + 22*m**2 - 22*m**2 + 10*m**3 in the form x*m + a*m**3 + c + s*m**2 and give s.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 6*q - 20, -417*q + 445*q = -4*y - 148 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35 and 47285.\nAnswer: 47285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-2 - 19) + 11\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(448) + -1 - 2*sqrt(448)*-1)**2 + 4 + (5*((sqrt(448)*-1 - sqrt(448)) + sqrt(448) + sqrt(448)) - (1*sqrt(448) + -3)) + 5.\nAnswer: -56*sqrt(7) + 4045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 839917, -9\/2, 3\/5?\nAnswer: 839917","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -2887, 2, -9 in decreasing order.\nAnswer: 2, -9, -18, -2887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 72. Suppose 189 = 3*m + 3*r, -14*m - l = -15*m - 3*r. Let g = 146 - m. List the prime factors of g.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 279 and 2342019?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*p**2*z - 301*p**2 - 2*p*z**2 - 1 wrt z.\nAnswer: -13*p**2 - 4*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**2 - 52 - 2*k**3 + 54 - 4*k**2 + k**3 to v*k**3 + q*k**2 + m + f*k and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8439 divided by -291?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -1591*u**2 - 1871*u - 11. Let z(o) = -1194*o**2 - 1403*o - 8. Let h(t) = -8*w(t) + 11*z(t). Find the second derivative of h(a) wrt a.\nAnswer: -812","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 88*l + 3386. Calculate q(29).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 135 + -75. Which is greater: 61 or h?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -12*k**3 + k**2 - 6*k + 40. Let u(j) = 2*j**3 + j. What is -5*u(i) - v(i)?\nAnswer: 2*i**3 - i**2 + i - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 8*c**2 + 12*c + 4. Let h be j(-6). Suppose 2*i - 144 = -h*i. 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 7b (base 15) in base 9?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95599, 95977, 96601, 97471, 98587, 99949?\nAnswer: 101557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of p**4\/12 - 4*p**3 - 131*p**2. Let m be s(17). Suppose -i - 320 = -5*i. What is the greatest common divisor of i and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**8\/t*t\/((t\/t**4*t)\/t*t)*t*t**(-1\/6)*t**6*t*t assuming t is positive.\nAnswer: t**(113\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c (base 15) in base 10?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85931\/340464 - 1\/2768. Calculate the common denominator of -35\/36 and g.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 215957?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 z when two letters picked without replacement from lcffvzr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 833541, 833139, 832737, 832335, 831933?\nAnswer: 831531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 1 (b) 17 (c) 4\/9 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 12:44 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-4\/13)\/y*y**(-2)*(y\/((y\/(y**(1\/3)*y*y))\/y*y*y))**(-3\/2) assuming y is positive.\nAnswer: y**(-69\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 238*r**4\/9 + 63146*r**3\/3 + 37502030*r**2\/9 - 25785242*r\/3 + 353780 = 0.\nAnswer: -399, 5\/119, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vu when two letters picked without replacement from uuvt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10755 is divided by 2643?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/3)*n*n**(-1\/5))\/((n*n*n**(-3))\/(n\/n**(-1)))*((n**(-2\/3))**(1\/36))**(7\/4) assuming n is positive.\nAnswer: n**(5509\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*x - 4*a - 1238 = 0, -37*x = 4*a + 1315 + 1610 - 376 for x.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 - 4. Suppose g - k = -0. What is the highest common factor of 12 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3180.4+0\nAnswer: -3180.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**9*h*h**(-2\/11)*((h\/(h*h*h**(-2\/5)*h*h))\/h*h*h)\/(h*h**2))**(-2\/47) assuming h is positive.\nAnswer: h**(-574\/2585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*((-16)\/12)\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 15 + 13 + y + 7*y + 4*y - 18. Let r(f) = f - 1 - f - f. Let a(b) = n(b) + 10*r(b). Let j(d) = -12*d. What is j(a(c))?\nAnswer: -24*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 23*k**2 - 16*k**2 - 6*k**2 + 7*k**2 - 5*k**2. Let n(l) = -l**2 + 480. Calculate n(r(g)).\nAnswer: -9*g**4 + 480","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.015935844 rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 + 24*c - 12. Give p(8).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + -1 + (11 - 6). Let f(x) be the first derivative of 0*x**3 - 1 - 2*x + 0*x**2 + 0*x**4 + 1\/5*x**y. Differentiate f(z) wrt z.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 16*j + 2. Let u(w) = w**2 - 5*w - 9. Let b be u(7). Is z(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3613577800?\nAnswer: 2, 5, 7, 17, 149, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.575 - 63.425. Sort 3, -1\/2, w, 0.3, -1 in descending order.\nAnswer: 3, 0.3, -1\/2, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 6*n**2 - n + 8. Let w be x(6). Let r be -112 + 3 + 6\/(-3). Let o = -110 - r. Solve w*v + o = 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w**2 - 3. Let t(p) = -11*p**2. Calculate t(z(l)).\nAnswer: -275*l**4 - 330*l**2 - 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 174241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86 and 370343262?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bg when two letters picked without replacement from bgigiiig?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(1\/4))**(-5\/18)\/(c*c**0)**(-7))**(-2\/119))**(-1\/2) assuming c is positive.\nAnswer: c**(499\/8568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -179, -318, -541, -848, -1239, -1714, -2273?\n\"Answer: -42*y**2 - 13*y - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 58044350581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -286, -289, -290, -289?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5834847, 5834840, 5834833?\n\"Answer: -7*v + 5834854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.057 and -31.\nAnswer: 1.767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y - y + 0*y + 1 - 1 + 3*y - y + 0 + 0 + 3 - 3 + 2*y + (y + 0*y - 2*y)*(1 - 2 + 0).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z + 2*z - 3 + 5*z + z + 4*z**2. Let t be j(-2). Let v(s) = -s**2 + s. Let c be v(0). Which is greater: c or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 21*o**3 + 9*o**2 - 17*o + 7. Calculate the remainder when 29 is divided by f(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46 - (-9116)\/215) + 2 + 0.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 25, 56, 105, 178, 281, 420, 601?\nAnswer: 830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r. Let a(x) = 3203010*x**2. Give j(a(i)).\nAnswer: -9609030*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2255325531 + -5?\nAnswer: 2255325522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-141745.4.\nAnswer: -141745.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 20*f - 16*f. Suppose 0 = 3*u - f*p - 6, 0 = 4*u - 5*p - 8. Suppose -2*k + k - 80 = -5*v, -48 = -3*v - u*k. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.020954413 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 6*h - 22. Let j(y) = -5*y + 21. Give -5*j(r) - 4*z(r).\nAnswer: r - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -51*o**3 + 15*o**2 + 12*o - 96. Determine s(2).\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2698322 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -0.65989?\nAnswer: -0.329945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 12*l - 1. Calculate o(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 643 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/1810 and 25\/1086.\nAnswer: 5430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.52113 months to decades.\nAnswer: 0.20434275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 equal to 1382\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 - 17.8. Let z = r - -3.2. Let h be (-115)\/15 - ((-58)\/7 + (-192)\/(-672)). What is the fourth biggest value in z, -5, 0, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1184.1 and -12.31129.\nAnswer: 1171.78871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -0.25. Let r = j - 8.35. Let h = r - -9. Which is smaller: h or 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 7:50 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(612) + 4 - sqrt(612) - (sqrt(1700) - ((sqrt(1700) - (0 + sqrt(1700))*3)**2 + sqrt(1700))))*3.\nAnswer: 20412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-40)*(-2)\/((-56)\/(-10))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23761?\nAnswer: 23761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.87 - -0.03. Let z = x - 1.1. What is the biggest value in 1\/8, z, -0.3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -2*b - 2, -4*b + 9*b = -5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 12*k**2 + k + 14. Suppose 80 = -5*l - 5*t, -5*l - 9 = 2*t + 59. Let f be h(l). Let -1\/3*m - m**f + 0 = 0. What is m?\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111001100100101010 (base 2) in base 5?\nAnswer: 111413322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k - 4*k + 0 + 3 - k**2. Let t(z) = z - 1. Let y(w) = -s(w) - 5*t(w). Give y(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 2*i**4\/3 + 23*i**3\/6 + 27*i**2. Differentiate l(x) with respect to x.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -13. Suppose 0 = -t - 2*f + 38, -97 = -4*t - 0*t + 3*f. Calculate the remainder when t is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -772.4 + 772. What is the third smallest value in -4, 118, b?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1981*f + 85507 = 1895*f - 1565*f for f.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2068480.8 * -0.13\nAnswer: -268902.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uukuuuku. What is prob of sequence ukuk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22319057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60762 and 4902?\nAnswer: 2612766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0.023 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -74, 160, 550, 1096, 1798?\n\"Answer: 78*d**2 - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 121135*x**5 + x**3 - 61*x**2 - 97571170*x.\nAnswer: 2422700*x**3 + 6*x - 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 4*a + 3. Let y be b(5). What is the common denominator of y + (-2 - -2) - 952\/96 and 109\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.97 - -0.03. Let q be (-171)\/(-297) - (-4)\/(-6). Which is the biggest value? (a) m (b) q (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven halves of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 4 - 8 - 577*x + 1701*x + 1650*x to the form j*x + b and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75998359.\nAnswer: 101, 752459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15599*t + 15154*t = -47042 + 2097 for t.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -21*w - 33. Let f be ((-12)\/10)\/(4\/20). Let c be k(f). Let o = c + -39. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 - 43. Let u = z + 11.8. Put -2, 4\/7, u in descending order.\nAnswer: 4\/7, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 0)*((-1 + 1 + l)*(1 - 2*l - 1) + 461 - 461 - 20*l**2).\nAnswer: 44*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r + 4*r + 2*r + (-2*r + 5 - 5)*(-1 + 0 + 0) + r + r - 3*r + 3*r + 3*r - 4*r - 2*r + 0 + 0 - 2*r - 5*r + 9*r to the form u*r + z and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*w - 1264 = -64*w - 1616 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2 = d. Let m be d\/(-1)*0\/(-1). Sort 0.3, 0.1, m.\nAnswer: m, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)\/(sqrt(30)\/sqrt(3))*-5 + -4)*6 + 5 + 6*(-4 + (sqrt(2) - sqrt(4)\/sqrt(2)) + sqrt(2))*6)**2.\nAnswer: -1956*sqrt(2) + 26641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22063328993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -a + 1. Let k be (-4)\/a - (3 - 2). What is the derivative of -11*u**4 + 5*u**4 + k - 3 - 2 wrt u?\nAnswer: -24*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -7*l**5\/120 - 14*l**3\/3 + 16*l**2. Let b(d) be the first derivative of s(d). Let n(f) = 3*f. Determine b(n(h)).\nAnswer: -21*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -5, 72, -6, 30?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2336 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 be (2 + 14\/(-5))\/(10\/(-125)). Solve 5*x + 2*c = 3 + 14, 0 = 3*x + c - v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(2\/17)*y)**9)**7)**(-19) assuming y is positive.\nAnswer: y**(-22743\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1445619 divided by 3\nAnswer: -481873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8838 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*g - g + 21 = 0, -16 = l + 2*g. Let c = 21 + l. Let u be (-4)\/(-8) + c\/2. Is u != 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from qwlwwoolow.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 2*n. Let m(y) = -5*y**2 - 9*y - 7. Let g(v) = m(v) - 6*r(v). Suppose 2*a + 24 = -2*a. Determine g(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**6\/((c**20*c)\/c))\/(c*c**3*c*c**(-23)*c) assuming c is positive.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j - 15*j**3 + 16*j**3 - 3*j + 15. Let d be s(0). Calculate the greatest common factor of d and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 225.452 millilitres?\nAnswer: 0.225452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74*r**3 - 7*r**2 + 2*r - 2133 wrt r?\nAnswer: -444*r - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 542 * 4\nAnswer: 2168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53196.\nAnswer: 2, 3, 11, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5*w**3 - 4*w**2 + 2*w + 3. Let v be t(-3). Suppose -4*l + 8*l = v. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 15\/8, 1\/6 in decreasing order.\nAnswer: 2, 15\/8, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w - u - 48 = 16*w, -52 = -w - u. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j - 1. Let s be v(1). Suppose 8 = s*l - 1. Let n be 0\/(8\/(-2)) - 3. Sort n, l, 5 in ascending order.\nAnswer: n, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148038 greater than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 79*f + 3 - 26*f - 40*f. Let u be i(12). Let n be (-4)\/16 + (-5)\/(-4) - u. What is n rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.52592ns in milliseconds?\nAnswer: 0.00007252592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1122243524 + -2?\nAnswer: -1122243526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 161.3 + -151. Round r to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111302 (base 4) to base 8.\nAnswer: 2562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3942*t + 369*t - 60354 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 10:23 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 24*b - 100. Let u be q(10). Suppose 67 + 95 = -3*t. Let h = t + u. Is h a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -1\/3, -14, 2\/7, -9\/127?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.956 + 1438264881.\nAnswer: 1438264880.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(-6) + (-100)\/120 - (-1 + 1). Factor j*l**3 - 1\/3*l**2 + 0*l + 0.\nAnswer: l**2*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -14. Which is the closest to 0.1? (a) 4 (b) z (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2664, 5318, 7956, 10572, 13160, 15714, 18228, 20696?\nAnswer: 23112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**3\/2 - 21*p**2 - 2*p. Let u = -1866 + 1890. Let o be n(u). Calculate the greatest common divisor of 10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 e when three letters picked without replacement from hehhkehekhhhhee?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 40 (b) -2\/5 (c) 3 (d) -1\/30 (e) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 605, 1218, 1831?\n\"Answer: 613*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**7*n*n**18*n*n assuming n is positive.\nAnswer: n**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1364 - 1360. Solve -8*v + 20 = -m*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 4*t**2 - 2*t - 3. Suppose -3*l - 27 = 3*d, -2*d = 3*l - 7*l - 12. Let i be b(d). Let q = i + -4. Solve q = h - 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62519 is divided by 4832?\nAnswer: 4535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from hhhhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -2 - (-10 + 2) - 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/52 and -5\/3016?\nAnswer: 3016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -94, 1, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 1\/12*o**4 + 1\/3*o**3 - o - 2 + o**2. Determine t(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -17*a**2 + 4*a - 4. Let n(j) = 15*j**2 - 5*j + 5. Give -6*b(q) - 5*n(q).\nAnswer: 27*q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((3 + sqrt(2448))*6)**2.\nAnswer: 2592*sqrt(17) + 88454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -47*y**5\/20 - 83*y**4\/12 - 2*y - 20. What is the third derivative of v(q) wrt q?\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -5 (b) 1\/54 (c) -1\/6 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2988 or 2984?\nAnswer: 2988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 8*m - 1. Let y(c) = c - 12. Let i be y(8). Calculate the remainder when 44 is divided by n(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-227 - (-89298)\/396)*20\/3*(-2)\/(-1)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0072 - -0.4492. Let k = -0.045 + p. Let u = -0.003 - k. What is the smallest value in -0.5, 0.02, 0.5, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1700 and 19700?\nAnswer: 334900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.059107021474 - -0.1\nAnswer: 0.159107021474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, -49\/16, 3\/4, 2\/17, 6, -4, 9?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - 2. Calculate the remainder when 31 is divided by 0\/o - (-16 + 0).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.999368 to 2 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3630 by 1.\nAnswer: 3630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 147996393*y**2 + 15*y + 384406 wrt y.\nAnswer: 295992786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 41970 = 48013. Let h = v + -166022. Let l = 196039 + h. What is l rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 9*x - 6. What is n(-5)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 6*c - 9. Let d be l(16). Suppose -d = -3*r + 570. What are the prime factors of r?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3419 - 1532 - 5379 = 139*c + 8323 for c.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53*n**3 - 512*n**3 - 611*n**3 + 152*n**2 wrt n.\nAnswer: -7056","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1554 + 2996*n**3 - 17566*n**3 - 1553 as m*n + t*n**3 + c*n**2 + i and give t.\nAnswer: -14570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166500691?\nAnswer: 7, 23785813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4431167 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/((j*j*j*j*j*j**(3\/7))\/j*j)*j*j*j**(-4\/7)*j**5\/(j\/(((j*j**0\/j)\/j*j)\/j)))**28 assuming j is positive.\nAnswer: j**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 1959 = -9374. Suppose 13*u = 136 + x. What is the highest common divisor of u and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 26782048 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: Put -4, 18, 253, -3 in decreasing order.\nAnswer: 253, 18, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -65*b**4 + 140*b**3 + 175*b**2 - 30*b = 0. What is b?\nAnswer: -1, 0, 2\/13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 865 = 3*l. What is l rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-96)*-3 + (-726)\/(-48). Solve 0 = x*f + 4 - 19 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a microgram in nanograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/133266 and -39\/244321?\nAnswer: 1465926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 344 divided by 172.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 505 = 125. Suppose -o = -22*s + 21*s. What are the prime factors of s?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 + -8 + -1 - 0) + -123 + 187.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-4)*k\/((k\/(k**(2\/7)*k))\/k*k)*k**(-2\/17)\/(((k*k**(-2\/5)*k*k*k)\/k)\/k) assuming k is positive.\nAnswer: k**(-2637\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 354.2086057 to 2 decimal places.\nAnswer: 354.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 54.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12c509 + -2?\nAnswer: -12c50b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -9370.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - 13) + (-15 - (-9 - -4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 15*z. Suppose -5*y - 10463 = -3*o - y, z = -4*y + 16. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 25524*p - 42901*p - 2 + 11103*p - 28)*(-2*p**3 - 3*p**3 + 4*p**3).\nAnswer: 57322*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/8)\/((-7070)\/(-3874360)).\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6818 - -6820. Let l(p) = 14*p**2 + 2*p - 5. What is l(r)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 0.626?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m = 25*m - 10. Factor 3*p + 3\/2 + 3\/2*p**m.\nAnswer: 3*(p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 190\/11, -0.04, -2, -1\/2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 6*j - 4*j. Suppose -h - j*h = -342. Suppose -5*s + 2*s = -h. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1501\/1722 + -25\/41. What is the common denominator of -7\/4 and u?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*z - 9 + 6*z + 1 + z to f*z + n and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 1. Let c be m(-4). Suppose 0 = -c*o + 3*o. Let g be (2 - 1)*(4 - 1). Solve o = -g*h - 2*h - 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000052308 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 75 + 5c0?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/183 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 5 + 5. Suppose -z + 1 = 3*m, 14 = 4*m - q*z - 19. Suppose 2 = 3*d - 2*d. Solve -2*y - 10 = y - m*r, d*y = 4*r - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5952.25 centimeters?\nAnswer: 59522.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -u**4 - u**3 + u**2 - 3*u + 21. Suppose -149*v - 21*v + 850 = 0. Let d(w) = 7*w**3 + 5*w**2 - 3*w + 5. Give v*x(c) + 3*d(c).\nAnswer: c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -275*c + 14050. What is y(42)?\nAnswer: 2500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkrgpkprk. What is prob of picking 1 p and 1 g?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 557819.\nAnswer: 23, 79, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 7)*6\/10. Let o be (-4)\/3*c\/14. Factor 30\/7*l + o*l**3 + 2*l**2 + 18\/7.\nAnswer: 2*(l + 1)*(l + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 51?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 6\/2 + (-5 - -3). What is the third derivative of -6577*h**4 + 6577*h**4 - 87*h**b + 51*h**5 wrt h?\nAnswer: 3060*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 8:26 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-18)*w)**(12\/19)*w**16*(w\/w**(-2))\/w)**(9\/11) assuming w is positive.\nAnswer: w**(1242\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1451108233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 380.014 rounded to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 487.993763 - 488. What is c rounded to four dps?\nAnswer: -0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by 6 - 46*4\/(-8).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*g**3 - 3*g**3 + 5*g**2 + 9*g**3 wrt g?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12566 take away -0.0641?\nAnswer: 12566.0641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 2*a - 37 = -31, 0 = -3*a + 12 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d. Suppose -2*w + 19 = -3*v, -v + 2*v - 4*w + 13 = 0. Calculate the remainder when -4*(-1 - 15\/4) is divided by g(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 81 + 3788. Is 137 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57012 (base 10) to base 9\nAnswer: -86176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 25*t + 3. Let s be j(2). Let a = s - 14. Are 38 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.75 - 0.25. Sort -2, 5, 2, i in decreasing order.\nAnswer: 5, 2, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*g + 30 = -0*g, -156 = -4*o - 2*g. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 z when two letters picked without replacement from yzz.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 4*p + 2. Let f be z(-4). Let k(a) = a**f - 5*a**2 + 5 + 3*a**2 + 16*a. Is k(11) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x + 5. Let k(d) be the first derivative of d**2\/2 - d + 1. Let t(l) = -6*k(l) - v(l). Let o(u) = -u**3 + 4*u - 5. Determine o(m) + 4*t(m).\nAnswer: -m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -7 - 5. Let p = d + 9. Suppose p*n + 4700004 = 2*r, -r = -3*n - n - 3760002. What is n rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**2 + 768498*g - 768501 = 0. What is g?\nAnswer: -256167, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22513*d**2 + 16267 wrt d?\nAnswer: -45026*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p + 1. Let t(r) = -116*r**3 + 1624*r + 812. What is 6*t(s) - 4872*y(s)?\nAnswer: -696*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, g: 8}. Give prob of sequence ii.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -556 + 583. What is the remainder when 3520 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**3 - 10*p**3 + 16*p**3 - 8*p**3.\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 63410448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h - 3*h**2 + 3*h**2 - 3 - 4 + 2*h**2 in the form p*h + z + u*h**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -427241, -427245, -427249?\n\"Answer: -4*w - 427237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dgdd. Give prob of sequence dg.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 21*g + 23. Let n be h(20). Suppose 0 = -n*o + 6*o - 9. What is the second derivative of -o*p**3 + 4*p + 0 + 0 + 18*p**3 wrt p?\nAnswer: 90*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-7)\/12)\/7)\/(61\/122)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/15 - (-72)\/20. Suppose 6*b - 11*b = -170. Suppose 4 - b = -5*k - 5*c, -4*c = -8. Solve -5*l + 4 = -k*j - 0, 3*j - r*l + 3 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2388.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(6\/292)*(-5)\/(-10). Do n and -73 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a centimeter in millimeters?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 5. Let m be ((-2)\/(-4))\/(3\/6). Let s be (-1)\/7 + 3\/((-42)\/68). Sort m, s, l in increasing order.\nAnswer: s, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -0.1, -251, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4 = 41. Let h = 113 + b. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17493, 34984, 52475?\nAnswer: 69966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 12. Let r = 36 + x. What is the remainder when r is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - 21. Let k = g + 67. Is 6\/(-15) - (-988)\/k a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 + v**2 + 91*v - 87*v - 2*v**4 - 3*v**3 as y*v**4 + w*v**2 + m*v + x*v**3 + b and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 - -43. Factor 2\/9*c**3 + x - 2\/9*c**4 + 2\/9*c**2 - 2\/9*c.\nAnswer: -2*c*(c - 1)**2*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/15, 135, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*h - 30*h + 20 = 0. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -605 = 1555*b - 1610*b for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4*s = -7, 0 = 2*y - 0*y + s - 2. Let q be ((-1)\/y)\/(3\/(-27)). Suppose -19 - 5 = -3*v - 3*t, v + 4 = q*t. Solve -n + 2 = v*k + 6, -4*n = 4*k for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2138?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + q + 1. Let y(r) = 4*r**2 + 1. Let l(t) = 2*g(t) - 2*y(t). Find the second derivative of l(s) wrt s.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -752.3 + -0.04.\nAnswer: -752.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - -24. Suppose c*y + 12 = 21. Sort -3, 2\/7, y, -4\/7 in descending order.\nAnswer: y, 2\/7, -4\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26 - 16*l + 12*l - 8*l + l - l - 2*l + 2*l - 3*l + 0*l + (3 - 1 + 0)*(2*l - 3*l + 2*l) - l - l + 0*l - 4*l + 2*l + 3*l + (2 + 3 - 6)*(1 - l - 1).\nAnswer: -13*l - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -49*v**3 + v**2 + v - 1. Determine m(1).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 - 3)*(2 - 3 + 3)*(-1 - 1 + 1)*(0 + 1 - 4)*(-f + 3*f + 0*f)*((0 - 3 + 2)*(3 + 1 + 3) + 22 + 3 + 4) as b*f + n and give b.\nAnswer: -1056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z**2 - 26*z**2 - 97*z**2 to b + f*z + n*z**2 and give n.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 3170917.8 to the nearest 1000.\nAnswer: 3171000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 v when three letters picked without replacement from wwvmvuumuuwmuumuvuw.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50226814 or -251134064\/5?\nAnswer: -50226814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -400103, 1\/28, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3892 - -3900. Solve 0 = -2*o + 2*l - n, -5*o + 1 = 5*l - 3*l for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13792\/12930*(-1 + (-7)\/(-4)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/9)*c**(-3)\/c)\/((c**3\/c)\/(c\/(c**6\/c))) assuming c is positive.\nAnswer: c**(-92\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpzzpzpzzzpzzpzzzzzz. Give prob of picking 2 p.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -81, 5.\nAnswer: -81, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**4 + 3*q**4 - 8*q**5 + 4*q**4 + 0*q**4 + 8*q**3 = 0. Calculate q.\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/68528 and -1\/2.\nAnswer: 68528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-221145)\/(-2875) + -77 + 2002\/25.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25051*a**3 - 12515*a**3 - 12522*a**3.\nAnswer: 14*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 2 - (-502 + 488).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 364 by -44.\nAnswer: -91\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 142 - 131. Solve f + l = -2*w + 2, w = 2*f + 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2729345240.\nAnswer: 2, 5, 17, 53, 75731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*a - 12*a. Let o = 3 + 1. Sort -3, o, a in ascending order.\nAnswer: -3, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 605334?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2237949 is divided by 86074.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(228) + 1*sqrt(228))\/sqrt(12) + -2 + 3 + (sqrt(38)\/sqrt(8))**2)*-5*-5.\nAnswer: 559\/4 + 50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**2\/5 - 19514*p\/5 + 19512\/5 = 0. What is p?\nAnswer: 1, 9756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1827129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 524600392.\nAnswer: 2, 149, 440101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = 6*b - 8*b. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 s when two letters picked without replacement from gstggtv?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*m + 9, -2*n + 4*m = -258. Suppose -n - 5 = -5*t. Differentiate 16 - l**3 + 2 - t wrt l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5\/6)\/y**(-14))**(1\/8) assuming y is positive.\nAnswer: y**(79\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13c5 (base 13) to base 2.\nAnswer: 101100110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 - 20. Suppose 3*r + 5 = y. Calculate the remainder when 10 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10919647 and 296957.\nAnswer: 1993","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*s**3 + 2*s**2 - 3 - 248*s + 248*s + (-s - s + s)*(2 + 3*s**2 - 2).\nAnswer: -9*s**3 + 2*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1.45788 times 26\nAnswer: -37.90488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -1508*w + 1518. Determine t(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/5, 6\/5, -552, -13, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 13*u**2 - 14*u - 4. Suppose -4*t - 60 = 4*x, 2*t + 2*t + 4 = 0. Let n be g(x). Let s(b) = 2*b**2 + b - 2. Let v(r) = r. Give n*v(w) + s(w).\nAnswer: 2*w**2 - 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 1967603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405)*2*2 - ((sqrt(5) - (sqrt(20) + -1)) + sqrt(5) + sqrt(50)\/sqrt(90))**2.\nAnswer: -14\/9 + 106*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**6\/220 + 49*c**5\/165 + 79*c**4\/44 - 30*c**3\/11 + 331*c**2 - 1. Determine x so that i(x) = 0.\nAnswer: -30, -3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5 + 2)*(-v - 2*v + 2*v)*(-2 - 1 + 2)*(2 - 2 - 1) to y*v + j and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 133219701 a multiple of 459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2816 and 192955136.\nAnswer: 2816","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 915, 997, 1079, 1161?\n\"Answer: 82*z + 833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 84 (b) 0 (c) 4 (d) 1 (e) 2\/5 (f) 280\/11 (g) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95964 and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/40 and 89\/440?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 385457754, 385457755, 385457756, 385457757, 385457758?\nAnswer: 385457759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*v - 17110 + 34222 - 17112 + 12*v.\nAnswer: -58*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9.4 and -9.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 991 is divided by 71?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1766*w - 2295*w + 1384*w to the form x + h*w and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -25\/2, -1\/229, 2\/3 in descending order.\nAnswer: 2\/3, -1\/229, -25\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28072*m**2*r**3 + m**2*r + m**2 + 23458*m - 56*r**5 wrt r.\nAnswer: -168432*m**2*r - 1120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 4*h**2 - 12*h - 17. Let f be t(2). Let o(a) = -a**2 + 4*a. What is o(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15994.\nAnswer: 2, 11, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of 37*d**7\/105 + d**4\/8 + d**3\/2 - 45*d**2. What is the second derivative of h(z) wrt z?\nAnswer: 888*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(35) + (sqrt(560) + sqrt(560)*2 - sqrt(35)))\/((sqrt(7) + sqrt(14)\/sqrt(2))*6) - (sqrt(720)*-2 + (sqrt(5) - (sqrt(5) + -1 + 0) - sqrt(5)))**2*5.\nAnswer: -15630 + 249*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 20*t**2 - 2*t - 38. Let i be f(-24). Suppose -i = -8*c + 1158. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -16, 1\/2, -0.4.\nAnswer: -16, -5, -0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -21, -0.61, 15\/13, -5?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24235*b**3 + 1 - 123*b**2 + 24235*b**3 - 431*b**5 wrt b?\nAnswer: -25860*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197*q + 10 = -202*q. Which is the third biggest value? (a) -0.4 (b) 0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-3\/4))**(-18) assuming d is positive.\nAnswer: d**(-63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 7.2, 2\/3, 1\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -109753 - -768277\/7. Find d, given that 4\/7*d**2 - 2\/7 - 6\/7*d - i*d**5 - 2\/7*d**4 + 12\/7*d**3 = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 48*m**5\/5 - 66216*m**4\/5 - 1505604*m**3 - 43027110*m**2 - 98365050*m = 0. Calculate m.\nAnswer: -105\/2, -5\/2, 0, 1487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*f + 11. Suppose 2*a - f*a + 8 = 0. Put a, 2, 1 in ascending order.\nAnswer: 1, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -r**5\/300 - r**4\/30 + 2*r**2. Factor z(p).\nAnswer: -p*(p + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -4) + (-3 - (-9 - -14)) + -7\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/1519 + -72236\/52555881. Which is bigger: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/10 + 119\/(-35). Is y\/(-4) - 65\/(-4) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from eedeeeeeeeepepr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13308352973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 80689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.558 - -0.582. What is the closest to -1\/5 in r, -2\/3, -3\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -337?\nAnswer: 2\/337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40375 is divided by 13457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*w = 6, 6 = 2*w - 4. Let j(b) = b**2 - 4*b - 31. Let f be j(m). Let x = -24 + f. Calculate the remainder when x is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-72))\/(76\/(-6)).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l - 13*l - 2*l + 18*l - 6*l. Let z(b) be the first derivative of -3 + 3\/2*b**2 + 0*b. Give x(z(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 8. Let h be (k - 1)*3*(-10)\/75. Suppose -2*r - t = r - 235, -2*r + h*t + 162 = 0. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/(-4)*(-13)\/39. What is the first derivative of 3 + 17*v**j + v + 27 - 18*v**2 - 36*v**2 wrt v?\nAnswer: -74*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5438.013ml in litres?\nAnswer: 5.438013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 465 + -446 - (2 + 32).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19308242 and 11464?\nAnswer: 2866","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(h - 2 + 2) + (-3*h + 3*h - 2*h)*(-3 + 0 - 4).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 + 1039*s - 19315. Calculate y(18).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (18\/16)\/(18\/12)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 12:52 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16126 + 61541 = 5211*z - 15004 + 19717 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11367106*b**3 - 15191283*b**2 wrt b.\nAnswer: -68202636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, f: 3, p: 3, q: 2, u: 2}. Give prob of sequence pp.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**3 + w**2. Let o(s) = -3*s**3 - 4*s**2 + s - 350. Let g(t) = -2*c(t) - o(t). What is the units digit of g(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - -0.1. Let k(j) = -j**3 + 21*j**2 + 22*j + 5. Let g be k(22). Let v be (-48)\/(-21) - 4\/2. Sort o, g, v in descending order.\nAnswer: g, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4674 and 0.3.\nAnswer: -1402.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -203 + 202.9638. Let a = -1.03 - -1. Let b = c - a. Round b to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 11 + 1)*(7*n - 3*n + 3*n)*(-1 - 1 + 4)*(1 - 3 - 1).\nAnswer: -504*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (52 + 60 - 43*b**2 - 114)*(1 + 4 - 4)*(2 - 2 - 2) in the form s + n*b**2 + g*b and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -289 - -294. Let a(n) be the second derivative of 5\/168*n**7 + 1\/12*n**6 - 1\/16*n**q - 5\/24*n**4 + 0*n**3 + 13*n + 0 + 0*n**2. Let a(k) = 0. What is k?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -3 - (-14 - -12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - (-7 + 4)) + -38?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004157 to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a + 1. Let r(d) = -2*d + 1. Suppose m - 9 = 2*j, 4*j - m + 17 = 2*m. Suppose 12 = 6*l - 3*l. Suppose -l - 12 = -4*h. Determine h*r(c) + j*t(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11526963 to the nearest integer?\nAnswer: 3395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -4896, -0.3, -4\/5 in increasing order.\nAnswer: -4896, -4\/5, -0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 8. Suppose 3*m - 7 = v, -3 = 2*m - 9. Let u = 36 - 22. Solve v - u = -k*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a kilogram in grams?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**8\/r**(2\/31))\/((r\/((r*r\/(r\/r**(-2)*r))\/r*r))\/(r*r**5)) assuming r is positive.\nAnswer: r**(339\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((4*sqrt(171)\/sqrt(3) + (sqrt(342)*-1)\/sqrt(6))\/((sqrt(432) + (sqrt(432)*1 - sqrt(432)))*-1) + 2).\nAnswer: -2 + sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a + 0*a - 6*a)*(2*a**3 - a**3 - 2*a**3) + (-a - 4*a + 3*a)*(2*a**3 + 2*a**3 - 2*a**3)*(-5 + 3 - 6) + (2*a**2 + 2*a - 2*a)*(2*a**2 + 4*a**2 - 4*a**2).\nAnswer: 38*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvymvvyavlauvuvvvv. Give prob of picking 1 v and 1 u.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.805 rounded to zero decimal places?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0962 + -5.5998. Let n = 0.154 - v. Let h = -0.05 - n. What is h rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w + 11*w - 5 = -5*g, 0 = 2*w + 10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 10*d**2 + 3*d - 28. Let l = 78 - 69. Is 10 a factor of g(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/7 (b) 205 (c) -0.006 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2.9, 7, 3\/2, 2, 2841?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 5:43 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16 and 0.2748.\nAnswer: -15.7252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**3 - 4*o**3 - 55*o + 52*o + (-o**2 - 2*o**2 + 2*o**2)*(2*o - 4*o + 3*o) in the form w*o**2 + l + x*o**3 + b*o and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -p**4 + 173*p**3 - 34*p**2 - 4*p + 4820931 wrt p?\nAnswer: -4*p**3 + 519*p**2 - 68*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6.42284g?\nAnswer: 6422840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 1 = -0, 4*z = 4*y + 20. Let d be 9 - (z + (-42)\/(-24)). Factor 0*s**3 - 5\/4*s**4 - d + 5\/2*s**2 + 0*s.\nAnswer: -5*(s - 1)**2*(s + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -5*y. Solve w + y*w - 3 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbq. What is prob of sequence qqb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 2 + (-2)\/(-1 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40473*p + 0*p**2 + 40473*p + 7*p**2.\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**2\/8 + 54735*g\/4 - 998640075\/8 = 0. Calculate g.\nAnswer: 18245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = l + 5*z, 757 = -2*l - 3*z + 734. Let u(n) = -n. Let v be u(-2). Is l smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4281224)\/(-44) + 30\/(-55). Round u to the nearest one thousand.\nAnswer: 97000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 687 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/8 and -49.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 46283669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence la when two letters picked without replacement from ssssalslssslsalslls?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -69, -126, -215, -348, -537?\nAnswer: -794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q - 51. Let d be h(-24). Suppose -7*n = -12*n + d. Suppose 0 = -3*y + 6, -2*b + 14 = n*y - 4*y. Sort 3, b, -0.9.\nAnswer: -0.9, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 178\/5 + -36. What is the biggest value in 5, 1\/4, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 48\/5 of a millimeter?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {n: 4, t: 1, w: 1, v: 2, e: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 11:16 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nijijijiinnizn. Give prob of picking 1 j and 3 n.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -8, 16 in descending order.\nAnswer: 16, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 0*h + 5*y + 14, -2*y = 5*h + 17. Let u = 5 + h. Let b(v) = 2*v**2 + u*v - v + 3*v**3 + 0*v. Give b(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 2*s + 20 - 5*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.014565 + -1.420574. Let l = 0.194356 - k. Let f = l - -0.4. What is f rounded to 5 dps?\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -324 + 258 + 66 - 692*h**2 + 680*h**2.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16676034 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1155171 + 0.5.\nAnswer: 1155171.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -10. Suppose 2*v - 5*g = 6*v - 10, -v = 2*g - 4. Let a be (1 - (l - v)) + -1. Sort -1\/16, a, -2, 5 in decreasing order.\nAnswer: 5, a, -1\/16, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 4*w + 8, -4*q + 3*q - 2 = 2*w. Let f be 26\/(-30) + (-8)\/q. Sort -4, f, 3 in increasing order.\nAnswer: -4, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**23\/s))\/s*s)\/s**(1\/13) assuming s is positive.\nAnswer: s**(-274\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -910 + 2950. Suppose -23*u = -29*u + o. Is u a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 3*v - 32, 56 = 2*p + 3*v + 1. Suppose -11 = -2*k + p. Calculate the highest common divisor of 68 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15.7 times 0.24\nAnswer: 3.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2160, 4324, 6460, 8556, 10600, 12580, 14484?\nAnswer: 16300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/3050)\/((-52)\/65). Let n = 19221\/2440 - u. What is the common denominator of (-334)\/24*1*(-1)\/5 and n?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -92357 or -92359?\nAnswer: -92357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 3*m = -p + 1, m = -2*p for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2655\/4 + 660. Suppose -5*m = -5*i + 3*i - 6, m - 10 = -4*i. Find the common denominator of q and 294\/(-66) - m\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.17358 kilograms to micrograms.\nAnswer: 40173580000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 275 * -0.12.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (206\/1133)\/((-8)\/2288)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 203770 and 84?\nAnswer: 1222620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000225334456 to 5 dps.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 + 45.00000524. Round m to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(5\/4))\/(21\/(-5880)*28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/(2 + 2) - -6. Let w be ((-2)\/(-5))\/(g\/60). Calculate the greatest common factor of 60 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -185986650 divided by -5.\nAnswer: 37197330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4\/11 - 4636*t**3\/11 + 2786618*t**2\/11 - 10542264*t + 113763672.\nAnswer: 2*(t - 1137)**2*(t - 22)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0\/((-6)\/2))\/(-2). Suppose c = 3*p - i - 11 + 43, 3*p + 17 = -2*i. Let y(m) = m**2 + 8*m + 2. Is y(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 12 = 3*k, 0 = 2*w - 25*k + 21*k + 16. Solve 2*r = -w*r + f + 1, 3*r = -3*f - 12 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -5 (b) 0.4 (c) 0 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.020324 (b) 0.4 (c) -1\/2 (d) -3\/5 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -321\/1148 + -1\/164. Let y be 12 + (17556\/70)\/(-22). What is the closest to 2\/3 in -0.5, y, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**4\/11 + 28300*g**3\/11 - 28302*g**2\/11 = 0. What is g?\nAnswer: -14151, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*x + 1883 = -373 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1482340.\nAnswer: 2, 5, 137, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*f - 25 + 17, 0 = 5*f + 2*a + 30. Suppose w + w - 10 = 0. What is the smallest value in w, 6, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -18541, -37074, -55603, -74128, -92649, -111166?\n\"Answer: 2*a**2 - 18539*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297*j + 254 - 284*j - 252.\nAnswer: 13*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3 + -4 + -3 + (sqrt(200) - sqrt(200)*2) + -5)**2.\nAnswer: 180*sqrt(2) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + -4)*(140\/(-231))\/(-20). Which is the biggest value? (a) -1\/2 (b) d (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174022684.\nAnswer: 2, 11, 167, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -5*g + 4. Let h(s) = s - 6. Let y be h(-6). Let d = y - -22. Calculate the remainder when k(-5) is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(8) + (sqrt(288) + sqrt(8) - sqrt(8))) - (sqrt(175) - (sqrt(175) + (sqrt(175)*2 - sqrt(175)))))**2 + (3 + sqrt(1008)*2 + sqrt(1008))*1.\nAnswer: 36*sqrt(7) + 1317\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 5*g - 30, g + 77 = 4*t - 22. Solve 5*p - 5 + t = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 838522518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and 3285937?\nAnswer: 197156.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 147304 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 12) in base 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -477 + 426 = -3*n. Suppose -n*r + 600 = 73. Calculate the least common multiple of 8 and r.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84034 is divided by 786?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 6*r**2 - 7*r - 6. Let m be w(-5). Suppose -n = -5*x + 40 - 3, -5*n - 45 = -5*x. Solve -19 = 3*k + 4*h, m*h = -x*k + 3*k - 20 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 546422 * -0.123.\nAnswer: -67209.906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d + 11. Let m(a) = -22*a + 37*a - 16*a. Calculate m(o(p)).\nAnswer: -3*p - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(15\/4)*f)*f**(-2\/5))**(13\/2))**(-25) assuming f is positive.\nAnswer: f**(5395\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48582.73043 - -48583. Let l = 6.9 - 6.63. Let k = s - l. Round k to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (84\/(-2))\/(4 + (-95)\/20). Suppose o = c - 19. Let w = -78 + c. Let i(k) = -2*k - 4. Give i(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -m + 5*m + 2*h, 0 = 3*m - 3*h - 42. What is the smallest common multiple of m and 2\/(-3) + 68\/3?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28770790?\nAnswer: 2, 5, 31, 92809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -912 - -1520. Calculate the highest common factor of 3572 and l.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 12:06 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**3*q - 20*k**3*s**3 + k**2*q**2 - 2*k*q*s**3 - 9*q**2*s**3 + 18*q*s**2 + 3*q wrt s?\nAnswer: -120*k**3 - 12*k*q - 54*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14009981539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55420065.\nAnswer: 3, 5, 410519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2492 divided by 12.\nAnswer: -623\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -34415, -34734, -35253, -35972, -36891, -38010, -39329?\n\"Answer: -100*f**2 - 19*f - 34296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -721, 4, -4, 13 in decreasing order.\nAnswer: 13, 4, -4, -721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 246 - 338. Let g(i) = 2*i - 3. Let l be g(4). Suppose -l*d = -123 - t. What are the prime factors of d?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 150 + -87. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**2\/3 - 1465*a\/3 - 7300\/3 = 0?\nAnswer: -1460, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/2562 and 55\/582.\nAnswer: 248514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/24219720 and 69\/134554?\nAnswer: 24219720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 574453703.7 to the nearest one hundred thousand.\nAnswer: 574500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - x = -10, -5*b + 3*x + 19 + 11 = 0. Let a = b + -1. Let t(k) = -a*k**2 - 2 + 2. Let s(q) = -4*q**2. What is t(s(l))?\nAnswer: -32*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -150 + 345. Suppose 0 = 66*r - 59*r - 56. Suppose -194 - 118 = -r*x. Calculate the greatest common factor of x and c.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -365354 divided by 2\nAnswer: -182677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5008699?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 182283 = -23*o - 4*d, 2*d = 4*o - 31714. List the prime factors of o.\nAnswer: 2, 3, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1490\/20*(-4)\/(-2) is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 1 = -4*m + 3*z, m + 3 = -4*z. What is the greatest common divisor of 15 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 d, and 2 f when four letters picked without replacement from {k: 1, l: 4, c: 1, v: 1, d: 3, f: 4}.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17606 - -290?\nAnswer: -17316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a decade in months?\nAnswer: 1176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 1640237344.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 594346522 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -292856*d - 27449 wrt d?\nAnswer: -292856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 187 - 188 - (0 - 1\/5). Let k = -2 + 5. Suppose -3 = -4*m - k*o + 1, 0 = -4*m + 2*o + 24. Which is the nearest to 0.1? (a) 1\/3 (b) y (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 482694?\nAnswer: 2, 3, 80449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -442747*p**5 + 61*p**4 + 198*p**2 + 169838 wrt p.\nAnswer: -26564820*p**2 + 1464*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*l = l, -3*l = -4*y + 2. Suppose -16 - 22 = -y*x + 2*h, 4*x + 2*h = 82. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 18*u = -25*u + 21*u - 227, 0 = 5*u - 90 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (30\/(-45))\/((-2)\/15). Suppose 0 = a*u - 251 + 26. What is the greatest common factor of 27 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4925352400 less than -3?\nAnswer: -4925352403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92*u**3 + 26*u**3 + 41*u**3)*(-5*u + 3*u + 0*u).\nAnswer: -318*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 7*j + 2*j)*(-1 + 0 - 1) + 17*j - 10*j + 11*j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 7*a**2 + 6*a + 6. Let t be s(-6). Calculate the common denominator of -103\/10 and ((-4)\/48)\/(t\/(-356)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.03 (b) 2\/7 (c) 2\/3 (d) -82633\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oknn when four letters picked without replacement from knknkkoknkkno.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (6*(-4*(sqrt(170) + sqrt(170) + 2*sqrt(170)) + (sqrt(170) - (sqrt(170)*-1 - sqrt(170)))*1))\/((sqrt(60)*-2)\/sqrt(6) + (-2*sqrt(20))\/sqrt(2)).\nAnswer: 1 + 39*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -587?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 337854\/25 - 13516. Which is smaller: -3 or c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-495)*-11*6\/8.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1452352 and 9152?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/38*(-7)\/28*-3*30\/45?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 1977 = -2*n - 1915, -2*k - n = 3*n + n - 45 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 141025025?\nAnswer: -141025020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -4*y**3 + 2*y**2. Let z(g) = 5*g - 24. Let o be z(4). Let r(i) = -3 - 5*i**3 + 3 + 3*i**2. Determine o*t(h) + 3*r(h).\nAnswer: h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/26550 and 113\/40.\nAnswer: 106200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288763.\nAnswer: 41, 7043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 39076 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69*r**6 - 173*r**2 wrt r?\nAnswer: -8280*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 = q + 66 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -587 + 590. Solve -3*p + 4*p - 8 = -a*s, -5*s + 18 = -3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 2. Let w = p + 6. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -121 + 142. What is the closest to d in -0.1, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 2*m - 3833 + 531, -3*v - m = -4963. Suppose -75*z + 69*z = -v. What are the prime factors of z?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -108 divided by 350550\nAnswer: -6\/19475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 175356 and -5?\nAnswer: -876780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -268 + 667*a - 362 + 427*a - 280*a wrt a.\nAnswer: 814","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*0.4.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -682413 * 0.8\nAnswer: -545930.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 29*i + 4. Let y(h) = -369*h - 51. Let b(l) = -51*t(l) - 4*y(l). Let f(n) = 678*n. What is b(f(p))?\nAnswer: -2034*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 15880*m = 15877*m + 31, -3*m + 30 = 5*d + 11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 4*m + 3*u, 0 = 2*m - 0*m - 5*u - 4. Let b(q) = -q - 8. Let d be b(m). Is -2 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10)\/(-5))\/6)\/((-5)\/(-3))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-66)\/(-6)*(-1 - -20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5157000 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 0*a - 184\/5*a**2 + 1\/5*a**4 + 3*a**3 + 0 = 0?\nAnswer: -23, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i**2 + 5*i**2 - 22*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1171856488 rounded to five decimal places?\nAnswer: 0.11719","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2a6 (base 14) to base 12\nAnswer: -38a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**(-1))**(-8)\/(a**(-7\/4)*a\/a**(3\/2)*a) assuming a is positive.\nAnswer: a**(-91\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**3*x**2 + 66782*p**3 + 2*p**2*x**2 + 2*p**2*x + p*x**2 + 13389*x wrt p?\nAnswer: 6*x**2 + 400692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, 31, -75, 1, 0.2, -4\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4568 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9398 and -4.3?\nAnswer: 9402.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d + d - d)*(-3 + 3 - 1) + (4*d + 4*d + 2*d)*(-2 - 2 + 1) + (d - 5*d + 2*d)*(4 - 4 - 1) as z + c*d and give c.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3636 (base 11) to base 15.\nAnswer: -1623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 365 - 71188?\nAnswer: -70823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.23 in -0.4, 40\/97, -266, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (16 + (-3 - -5)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 126 = 2*y - 8, -r - 82 = -y. Calculate the remainder when y is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185981 is divided by 1388.\nAnswer: 1377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqh when three letters picked without replacement from {f: 2, u: 1, h: 2, q: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 182 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22.8 + -18.8. Let o = -7 - -5. Which is the closest to o? (a) -7\/4 (b) i (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = a - 5*n, 0*n = -3*a - 3*n + 12. Suppose 12 = -x + 2*x + 2*g, 4*g - 12 = x. Find the third derivative of -c**a - 2*c + 2*c + 5*c**4 - 2*c**x wrt c.\nAnswer: 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131 + -0.0594720443171\nAnswer: 130.9405279556829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001558929 rounded to 4 dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-7323)\/(-12)*5 - 54\/216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26023?\nAnswer: 53, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**5\/7 - 1569*h**4\/7 - 3*h**3\/7 + 1569*h**2\/7 = 0 for h.\nAnswer: -1, 0, 1, 523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oxeeppeoteeoepopxpep. Give prob of sequence xoe.\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkokkkkokkkkkok. Give prob of picking 1 k and 1 o.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 0*k + k)*((1 + 0 + 1)*(-3 + 2 + 7) + 5 - 2 - 1).\nAnswer: 28*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001 (base 2) to base 4.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -137 - -290. Let o = n + -150. Which is the nearest to 1? (a) 0 (b) o (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4 + 1*3*sqrt(112)*-1 + 3 + 1))**2.\nAnswer: 9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/(-30))\/(1\/18). What is the tens digit of 1262 + 14*t\/(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 - 2*k + 2*k)*(k - 5*k + 3*k) - 4*k**3 - k**3 + 3*k**3 + 1 + k**3 - 1 + 0*k**3 + k**3 - 4*k**3 + 60*k**3 - 2044*k + 166*k**3 + 2042*k.\nAnswer: 221*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 3 = -36*w + 21*w, -2*w - 3*w - 25 = -5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -380*(1 + -4 + 2). Let m(v) = -10*v + 4*v**2 + 384 - j - 3*v**2. Determine m(5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 5823*o - 4*o**2 - 68*o**2 - 5829*o.\nAnswer: -72*o**2 - 6*o - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 69*n - 1161. Let u be a(17). What is the highest common divisor of u and 7356?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35825.28 times 0.3\nAnswer: -10747.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 96 = 2*q + q, 0 = -h. Suppose -3*s + 103 = -q. Calculate the remainder when 4 - ((-1)\/(-1))\/(1\/(-83)) is divided by s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -238010*k**4 - 161337*k**2 wrt k.\nAnswer: -5712240*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 3, -2, 24, -310 in decreasing order.\nAnswer: 24, 3, -2, -8, -310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b**(-1\/3)*b)\/b*b)**(-13)*(b**(-2\/5))**32 assuming b is positive.\nAnswer: b**(-517\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2258085073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1163, -1149, -1109, -1031, -903?\nAnswer: -713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 129\/52217?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 7*o**2 + 5. Let i(g) = 3*g + 26. Let b be i(-11). Let n be s(b). Let -3*j**n + 4*j**4 + 3*j**5 - j**5 - j**5 = 0. What is j?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -141\/19040 and 117\/66640.\nAnswer: 133280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 119719 + -84181. Is 7 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 272? (a) 1\/34 (b) -1 (c) 0.346 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q**2 + 29*q - 28. Calculate w(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54535, 108644, 162733, 216796, 270827, 324820, 378769, 432668?\nAnswer: 486511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1374 + 131?\nAnswer: -1243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 855.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -0*i. Let u be i + (-1 - 3)\/2. What are the prime factors of 1 - -11 - u\/(-1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -429.\nAnswer: -2\/429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/5 + 4508\/(-10) + -9. Which is greater: d or -461?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.25 rounded to 0 dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -97, 2, 285, 752, 1403, 2238?\n\"Answer: 92*w**2 - 177*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5*p + 125, -4*p - 2*u = 2*u - 96. Solve 10*k + 79 = p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1264844\/11 - 114899. Let r = 87 - o. Let a = 0.8 + -0.3. Put r, a, -3 in increasing order.\nAnswer: -3, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/7? (a) -3 (b) -3\/55 (c) -2\/21 (d) -22 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 4*p + 8 = 0, 4*d - 4*p = 4252. Suppose -2*k = -u - d, 2*u - 3 - 7 = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 31*b. Let z(q) = 125*q - 1433*q + 561*q - 1736*q - 1671*q. Calculate 806*w(y) + 6*z(y).\nAnswer: 62*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.14990653 rounded to two dps?\nAnswer: -59.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 379*q**2 - 16296*q - 46. Give g(43).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 21*m - 149. Let a be p(-8). Let w be (-495)\/a + 7 + 2\/(-2). Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of o**7\/42 - o**6\/15 - o**5\/10 + 2*o**4\/3 - 7*o**3\/6 + o**2 - 7*o. Factor s(k).\nAnswer: (k - 1)**4*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/7 and 4060 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 of a week in hours?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4130 - 2678?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 6*n + 5. Let c be z(5). Suppose -5*m = 5*f - c, -8 = 5*m - 4*m - 2*f. Calculate the remainder when 58 is divided by m*((-30)\/(-4))\/1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(4\/5))\/m)\/(m\/(m**7*m))*m*m*m**(-1\/6)\/m*m*m\/m**(-7) assuming m is positive.\nAnswer: m**(481\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -479783, 4.63?\nAnswer: 4.63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5470.787*-24\nAnswer: -131298.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000614 rounded to six dps?\nAnswer: 0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -11 - 24*x + 8*x + 5 - 9 + x**2. Let i be r(17). Factor 0 + 3\/5*z**4 + 0*z + 3\/5*z**i - 6\/5*z**3.\nAnswer: 3*z**2*(z - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.212 * 2570.7.\nAnswer: -544.9884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -246070, -492342, -738614?\nAnswer: -984886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 131643 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2906 times -0.4\nAnswer: -1162.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13.9 - 14.9. Let y = -58 + 231\/4. What is the biggest value in a, 1\/7, y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30*0.4\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/14 and -11.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1700)*4 + 2)*5)**2.\nAnswer: 680000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26503471 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8 (b) 5 (c) -1\/2 (d) -3 (e) -3\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55370*g**3 - 60424*g**3 - 13233*g**3.\nAnswer: -129027*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 137925 and 250.\nAnswer: 1379250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*f - 5*v + 28, 2*f + 3*v = 21. Solve f = -g - 2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**12*y)\/(y\/(y*y**(4\/9))))\/(y**(-9\/5)\/y**(9\/4)) assuming y is positive.\nAnswer: y**(-991\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7}. Give prob of picking 4 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 668192999 rounded to the nearest 100000?\nAnswer: 668200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42450 and 496950?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.563 + -2.963. Let w be (-2)\/7 - (-2 + 2). Sort w, z, 3\/2 in increasing order.\nAnswer: z, w, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5964 - 3.9426. Let j = 4.6 + p. What is j rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16178.7292 to 0 decimal places.\nAnswer: -16179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 1174?\nAnswer: 3522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -10*s. Let f(u) = -8427*u**2. Determine x(f(i)).\nAnswer: 84270*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -3, -16, -43, -90, -163?\nAnswer: -268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31198, -59814, -88426, -117034, -145638?\nAnswer: -174238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 2. What is the common denominator of q + 2 + 50\/18 and (-13)\/5 + (-8)\/(-4)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 29 = -5*t - 4, 2*o + 14 = 4*t. Which is bigger: 2\/119 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.29 + -2.71. Which is the closest to 1? (a) f (b) -2\/5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2379 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-3) - 34\/6. Let h(o) be the first derivative of -5*o**3\/3 + 5*o - 68421. Let m(r) = r**2 - 1. What is y*m(u) - h(u)?\nAnswer: -u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 1)*(-2 + 2 + 1)*(n - 2*n + 2*n - 2*n - n + 2*n + (-2 + 2 - 2*n)*(-3 + 5 - 3) + n - 8*n + 2*n) to g*n + d and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261475 is divided by 279.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -130*k - 754. Let f be d(-6). Solve -f*z = -23*z - 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 112515 + 5?\nAnswer: 112523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1351 + 727 = -2958*k + 5422 + 5530 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(20) + sqrt(343) + 4)**2 + -4 + 0 + -2*-3*(1 + sqrt(847)).\nAnswer: 126*sqrt(7) + 1647\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -243, -970, -2181, -3876, -6055?\n\"Answer: -242*g**2 - g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11143231 or -78002622\/7?\nAnswer: -78002622\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lvvveveevvlve. What is prob of sequence vvvl?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 28773 (base 9) to base 13\nAnswer: 8bb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 94*c**2 - 17*c + 19. Let p(i) = -16*i**2 - 1. Let u(g) = k(g) - 5*p(g). Determine u(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 189*b - 3. Let l(j) = 760*j - 10. Give 4*l(a) - 15*o(a).\nAnswer: 205*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 5*m - 1081, w = 3*w - 3*m - 708. Is w >= 345?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5035 - 10073 + 1108*a + 5038 as z*a + t and give z.\nAnswer: 1108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 646375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7228 (base 11) in base 12?\nAnswer: -5671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6741, 13566, 20571, 27846, 35481, 43566, 52191, 61446?\n\"Answer: 15*q**3 + 6720*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1225*q + 91 = -1228*q + 16*c, -4*c = -q - 25 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*t = -6, 3*g - 3*t = -4*t + 15. Let n = g - 4. Suppose 2*j - 6 = -3*j + 4*s, 5*s = -j + 7. Solve -j*l = -n*v, 0*v + 3 = -v for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -271*w**6\/5 - 5*w**4\/6 - 7*w**3\/2 - 2658*w. Find the third derivative of y(p) wrt p.\nAnswer: -39024*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 4. Let a be j(-4). Let d(k) = a*k**2 - k**2 + 23 + 3. What are the prime factors of d(0)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 14*j + 40. Let k(n) = -3*n - 8. Let p(u) = -11*k(u) - 2*y(u). Let z(l) = -2*l - 3. Determine -3*p(q) - 8*z(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 - -110. Let y be (-24)\/d + (1 - (-5)\/(-8)). Suppose 3*a + 2*x = 368, 0*a + 5*a - 5*x - 655 = y. What are the prime factors of a?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1042 - -610.1042. Let i = m + -609.8. Which is the closest to -1\/4? (a) 3 (b) i (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 165*b**3 + 11*b**2 + 22*b. Let r(k) = 41*k**3 + 3*k**2 + 6*k. What is 22*r(f) - 6*z(f)?\nAnswer: -88*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/39? (a) -0.07 (b) 0.1 (c) 3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 1:03 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-4)*10\/(-3). Let n = -9 - -19. Let h = -7 + n. Solve u*y + 13 - h = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*r - 6*r - 78*r**4 - r**2 - 3*r + 18*r as i*r**4 + k*r**3 + x*r**2 + u*r + l and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, v: 1, q: 1}. Give prob of sequence qv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 23 = -85. Let h = 53 + y. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 3*r + 20. Let x(s) = -4*s**2 + 2*s + 1989. Let g(c) = 9*c**2 - 3*c - 3979. Let o(v) = r*x(v) + 2*g(v). Is o(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l**2 - 142*l - 5*l**2 + 142*l + 8*l**2.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -5*w - 5, 8 = -4*n - 3*w - 9 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/5))**33\/(z*(z**(-16)\/z)\/z*z\/z**40) assuming z is positive.\nAnswer: z**(346\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201000000021111 (base 3) to base 12.\nAnswer: -346b611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*o - 4126 = -4264 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000504486573 rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 f when three letters picked without replacement from {f: 13, g: 3, m: 2}?\nAnswer: 13\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -844, -895, -152, 1379, 3692, 6781, 10640, 15263?\n\"Answer: -b**3 + 403*b**2 - 1253*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + k + 1. Let u(o) = 2*o**3 + 4*o + 4. Let t be -2 + (-2 - -3) + 2. What is t*u(h) - 4*g(h)?\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/21109 or 10?\nAnswer: -5\/21109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*g - 92 = 97*g + 62 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -6, 4, 2\/3, 1\/9, -0.131.\nAnswer: -6, -1\/2, -0.131, 1\/9, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 173*k + 3. Let a(y) = 173*y + 1. Give -2*a(x) + 3*b(x).\nAnswer: 173*x + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 2\/13 (c) -2036307 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 150336 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2612324\/25 equal to -104492?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uugggzgggzgkgguu. What is prob of sequence gu?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 9:04 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.02185 and 9.\nAnswer: 9.02185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13613 - -25781. List the prime factors of m.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {a: 1, m: 3, z: 3, q: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 2*c - 1. Suppose -2*h - 3 = -3*r + 4*r, 2*h + 5*r + 15 = 0. Suppose h = 4*x + 9 - 1. Does 5 divide j(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/(-36))\/((-160)\/(-78) - 2). Calculate the greatest common factor of b and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 22, 38, 54, 70, 86?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 2:00 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (-4 - (7 - 65\/5 - 2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 + -0.16. Let x = i + -0.34. Let n be (2\/10)\/((-21)\/(-60)). Is n at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11a5 - -1?\nAnswer: 11a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70294856?\nAnswer: 2, 31, 283447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 192 - 144. Calculate the remainder when 136 is divided by n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12*8\/(-96)*-14\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 61, -5888 in descending order.\nAnswer: 61, -0.5, -5888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23496\/4272)\/(14\/4 - (3 + -2)).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 16, 1\/2, 0.09, -5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**3 + o**2 - 2. Let v(h) = 17*h**3 - 11*h**2 - 139*h + 10. Let q(r) = v(r) + 4*z(r). Find the second derivative of q(t) wrt t.\nAnswer: 54*t - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -987.4 * -2181.\nAnswer: 2153519.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, b: 4, d: 1, i: 10}. Give prob of sequence ui.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-96)\/40))\/(10 + 525\/(-48))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-4) - (-54)\/9. Let m be 2 + 3 + 0\/(-3). Let f(d) = 16*d**2 + 6*d - m*d**2 - 3*d + 6*d - 3. Let u(i) = 17*i**2 + 14*i - 5. What is j*u(g) - 8*f(g)?\nAnswer: -3*g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 101 + -100. Which is the nearest to r? (a) 3\/2 (b) -2\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by -77280?\nAnswer: -13\/25760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13, -30, -51, -82, -129, -198, -295?\n\"Answer: -l**3 + 4*l**2 - 22*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 - 90355 - 4*h**3 + 90355.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5893 - 2367. What are the prime factors of k?\nAnswer: 2, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 + -27. Let u(o) = -19*o**2 + 20*o**2 + 3 - 2*o + o. Calculate u(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/66)\/(6\/(-12)*(-1)\/12).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 132\/836 + 174\/342. Sort 0.2, j, -2\/11, 2, 0 in increasing order.\nAnswer: -2\/11, 0, 0.2, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(24)\/(2*sqrt(3) + sqrt(3))))**2 + (2 + sqrt(5) + (sqrt(50)\/sqrt(10))**2)*6.\nAnswer: 6*sqrt(5) + 87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 10*s - 57875 + 57836 = 0, 5*s - 25 = 5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 a when two letters picked without replacement from {k: 2, a: 4, f: 1, l: 1, t: 2}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5592 = n, 0 = 3*f - 4*f + 5*n + 1134. Suppose -1 = -8*o + f. Does 28 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + 1 + -2 + sqrt(7) + 0 + -2.\nAnswer: -3 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-2)*(5 + 1). Let o = h + 33. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 532*x + 4. Let w be m(6). Let u = w - 2042. Suppose -2*o - u = -6*o - 2*j, 0 = 3*o - 5*j - 859. What is the highest common divisor of 36 and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of r**8\/112 + 16*r**7\/105 + 47*r**6\/60 + 2*r**5\/3 - 25*r**4\/24 - 5*r**2. Factor y(s).\nAnswer: s*(s + 1)*(s + 5)**2*(3*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 326*v - 325*v = 0. Solve v = -b - 8 + 13 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**2 - 5*j**2 - 5*j**2 + 3*j**2 = 0. Calculate j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*w = 49. Let u = w + 69. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.115143l in millilitres?\nAnswer: 7115.143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 16274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.2 (b) 2\/17 (c) 753\/4 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 883 + -895. Let l be -8 + 6 - w\/5. What is the closest to l in 0.5, 5, 10\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000935 to five decimal places.\nAnswer: -0.00094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 128 + -124. Let j = p - 3.88. What is the second biggest value in j, -2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 784 - -29516. Is i a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 3*j + 29 - 17 - 72*j as d + n*j and give n.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*n - 3*g - 19 = 44*n, -n = 6*g + 31. Let x(l) = -l**2 - 5*l + 7. What is x(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77 by 868.\nAnswer: 11\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2802 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-28)\/(-21)*27\/(-15))\/(14\/35). Suppose 0 = -3*p + 1 + 8. Let v be 1*(2\/(-4))\/(p\/z). Calculate the highest common divisor of 3 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3225444 + 14203?\nAnswer: -3211241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 362872787\/152 + -2387331. Let u = 79\/8 + d. Do -1 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 0 - 1) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*(-20 - (-23 - 0))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -241.9693 - 0.0307. Let s = 242.000126 + g. What is s rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -r - 5*j + 361, r = 3*j + 139. Suppose 0 = -5*s + 143 + r. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k + 10. Let d be t(-4). Sort 4, d, 7 in descending order.\nAnswer: 7, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 69, 2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5*-7192\nAnswer: -35960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 2:14 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 10:28 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + l - 4*l)*(3*l - 2*l + 2*l)*(2*l + 1 - l - 3*l).\nAnswer: 18*l**3 - 9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 309538946, 309538943, 309538940, 309538937?\n\"Answer: -3*z + 309538949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35399?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1168 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmamhggchjhaa. Give prob of picking 1 c and 1 h.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3388 and 176?\nAnswer: 13552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 3*y + 21, 3*y - 2*h + 28 = -y. Let j(u) = u + 9. Let w be j(y). Suppose w*x - 6*x = -108. Is x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u. Let t be z(-3). Let j = -5 + t. Let r = 2.28 - 0.28. Which is the smallest value? (a) j (b) -2\/7 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.5 (b) 0.1 (c) -0.3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*w + 119 - 117 - 20*w**3 - 2*w**2 - 3*w**3 to the form m*w**2 + g*w**3 + o + v*w and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -7, 1, 2, 207.\nAnswer: -7, -3, 1, 2, 5, 207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8 - (434\/63 + 1). Suppose -8 + 18 = -10*n. Which is the nearest to -6? (a) -1\/4 (b) l (c) -0.4 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (43*m + 375*m + 319*m)*(-3*m**2 - 4*m**2 + 4*m**2) + m**3 + m**3 - 7*m**3 in the form f*m**2 + j + t*m**3 + w*m and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4124.2 times -176\nAnswer: -725859.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-nine fifths of a kilogram?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 76*t - 4. Determine h(-2).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-7 + 5) - (-1 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 5:08 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.13604561, 0.11, 1\/4?\nAnswer: 0.13604561","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0255024 plus 1570?\nAnswer: 1570.0255024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-21*78\/1365)*(-204)\/(-5)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(13)*-3 - (3 + (-3 + sqrt(13))**2)) + 5.\nAnswer: -12*sqrt(13) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -12. Let u be (-3 - z)\/(-2*1). Let c = u - -5. Calculate the greatest common divisor of 77 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 12*w + 54. Let d be k(9). Let p be (4\/6)\/(27\/d). Solve -2*c - a = 3*a + p, 5*c - a = -21 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -3*c - 5*u + 824, 5*u - 1415 = -5*c. What are the prime factors of c?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**5\/4 + 7437*m**4\/4 - 4591173*m**3\/4 + 18282963*m**2\/4 - 5705535*m + 2280729 = 0. Calculate m.\nAnswer: 1, 2, 1133, 1342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*p**2 + 6*p**2 + p**2)*(-2*p**3 - 4*p - 2*p**2 + 4*p).\nAnswer: -46*p**5 - 46*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 219*x + 5455. Give u(-25).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - (sqrt(132) + -2*sqrt(132)*-3))\/(sqrt(72)\/(sqrt(6) + sqrt(54))) + 2)*-6 + -1.\nAnswer: -13 + 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1861, 3721, 5581, 7441, 9301?\n\"Answer: 1860*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m + 4. Let u(d) = d + 4819. Calculate i(u(q)).\nAnswer: 2*q + 9642","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(180)\/sqrt(4).\nAnswer: -2 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**18\/s)**(3\/13)*(s\/((s**8*s)\/s))**38 assuming s is positive.\nAnswer: s**(-3404\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/2)\/(4\/(-10)). Let g be -1 - (-5)\/7 - 712\/56. Let l be 1 - -12 - ((g - 0) + 14). Sort s, 4, l.\nAnswer: s, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**5\/6 - 457*i**4\/6 - 746*i**3\/3 + 24160*i**2 = 0. What is i?\nAnswer: -453, -20, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/27000 and -119\/624?\nAnswer: 702000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(117) + sqrt(117)*2)*-1)\/(sqrt(1089) - (sqrt(1089)*3 + sqrt(1089))) + 4)**2.\nAnswer: -9745\/121 - 40*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u - 7. Suppose 0 = 6*k - 36 + 48. Calculate n(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*x - 22. Let f(d) = -d**2 + 8*d - 4. Let m be f(x). Solve 10 = 2*l, l + 1 = m*v - 0*l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100110111 - -111110?\nAnswer: -10011111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a kilometer?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, -2, 10024622\/25 in decreasing order.\nAnswer: 10024622\/25, 1\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(75) - -6*(2 + sqrt(75)))**2.\nAnswer: -7638 - 1680*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 5)\/(4 + (65\/(-5) - 5))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7072 and 1508?\nAnswer: 205088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*w**3 + 6*w**3 + 407 - 409 + 19*w**4 - 6*w wrt w.\nAnswer: 228*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3 = -0*y + y, 3*m - 2*y = 6. Suppose k = 3*k + o - 7, 4*k + 3*o - 15 = m. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -13*v**5\/60 - 2*v**2 - 105*v. Let f(g) = 17*g**2. Give f(d(x)).\nAnswer: 2873*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 2*d - 1 = 0, -86190*k - 8 = -86186*k + 4*d for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -58.1743?\nAnswer: 11.63486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 4. Let y be (5\/f)\/((-30)\/(-4)). Which is the nearest to -0.1? (a) 0.1 (b) 1\/4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/6976 and 59\/3920.\nAnswer: 1709120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 0*m + 2*m)*(7*m**2 - 1 + 1)*(-2*m + 0*m + 1 - 3 - 2*m**2).\nAnswer: -28*m**5 - 28*m**4 - 28*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**3 - 6*u - 1. Let w(m) = -2*m**3 - 7*m - 1. Suppose 3*x + 0*x - 2*z + 12 = 0, -x + 5*z = -9. Give x*w(o) + 7*a(o).\nAnswer: -2*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -15295 bigger than -15297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 8680 = -482*w, 0*c - 4*c = -0*w + 5*w + 98 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2 + 9*a - 219. Let n be c(-13). Put 9, 12, -1, n, 0 in descending order.\nAnswer: 12, 9, n, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1015 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = z - q + 130, -2*z + 4*q - 124 = 0. Let k = 129 + z. What is the remainder when k is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1191873*j**3 - 1191871*j**3 + 368 + 51.\nAnswer: 2*j**3 + 419","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 188 and 10?\nAnswer: 1880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of ((-38)\/(-57))\/(6\/729)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -130*v + 91. Let z be f(-2). Calculate the highest common divisor of 923 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31.65 + -0.53. Let f = v - 32. Round f to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 439 + -385.3. What is i rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-20)*60\/(-48))\/(144\/(-64))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58.90694*4.\nAnswer: 235.62776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**27*n*n*n*n*n**(-11))\/(((n\/((n\/(n\/(n*(n*n\/(n*n**18)*n)\/n)))\/n))\/n)\/n**(2\/23)) assuming n is positive.\nAnswer: n**(71\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millennium in years?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 0.5, -0.1 in descending order.\nAnswer: 0.5, -0.1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.082039 rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - bbdcbc?\nAnswer: -bbdcb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*i - 2007*i - 18190 = 0 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15281 and 68971?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/18? (a) -2 (b) 4016 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-y + y + 2*y)*(0 + 2 - 5) + 3*y - 6*y + y)*((-3 + 1 - 1)*(0*y - y**3 + 0*y) - 6*y**3 + 3*y**3 + 2*y**3).\nAnswer: -16*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 11364*c**2 + 7*c**3 + 15016*c - 17 - 15016*c.\nAnswer: 7*c**3 - 11364*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -11131998.\nAnswer: -2\/5565999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60948*g**5 - 2*g**2 + 93*g - 14?\nAnswer: 3656880*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n. Suppose 0*i + 3*i = -15, -5*i = 4*y + 13. Let u(o) = y*o**2 + o**2 - 3*o**2. Calculate d(u(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**5\/2 + 14037*r**4 - 196784541*r**3\/2 - 1774473318*r**2 - 7990249698*r.\nAnswer: -r*(r - 14046)**2*(r + 9)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2)*o**(-2\/37) assuming o is positive.\nAnswer: o**(-76\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.32 (b) 9 (c) 52 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 j when two letters picked without replacement from jsrjexfsssxx?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32\/(16\/(-4)) - -2166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 836340 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -19210?\nAnswer: -19207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**3 - 2*q**3 - 2*q**3 - q + 2*q - 9*q**2 as x*q**2 + i + m*q + w*q**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 2\/9, -5\/6, 1?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 28260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7839, 31694, 71451, 127110, 198671, 286134?\n\"Answer: 7951*d**2 + 2*d - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.94 from 3.3.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iee when three letters picked without replacement from eiieefepeef.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-4)\/5*-1)*(-45)\/6?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*((sqrt(88) + sqrt(88)*-2 - sqrt(88))\/sqrt(8) + sqrt(33)\/(sqrt(12)\/sqrt(4)) + 2*(sqrt(11) + -4*sqrt(22)\/sqrt(2)))*-2.\nAnswer: 3 + 70*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.09 + 0.09. Let d be 2 - 21\/12 - (790\/120 + -7). Let w = -0.1 - -0.2. What is the second smallest value in q, w, d, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -191, -1100, -1 in decreasing order.\nAnswer: -1, -191, -1100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2903, -5921, -8939, -11957, -14975?\nAnswer: -17993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06317 - -0.16317. Which is the closest to m? (a) -3 (b) 0.1 (c) -525 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddddrddrzd. Give prob of picking 1 z and 1 r.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*r = 15140 - 15357 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1997, 2667, 3335, 4001?\n\"Answer: -z**2 + 673*z + 1325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a minute in seconds?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2774883 divided by -924961\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -801 - -37645\/47. Suppose -5 - 86 = 7*h. Let r(f) = f**2 + 13*f. Let k be r(h). What is the closest to k in -0.1, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/33? (a) 3 (b) -0.2 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -65*g - 2195. What is c(-34)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -10 + 6*s**2 - 3*s**2 + s**2 - 3*s**2. Determine o(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*d - 101*d = -5*q - 5, d - 3*q - 1 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130911*z + 1 - 8*z**3 + 9*z**3 - 1 + 131009*z.\nAnswer: z**3 + 98*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 14, u: 5}. Give prob of picking 4 b.\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 155203645.\nAnswer: 1396832805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igizgiwiz. What is prob of picking 2 i?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*z - 23, 4*z + 4*n = 7*n - 29. Which is the closest to -0.2? (a) -3\/7 (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 783205?\nAnswer: 783210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**14\/h)\/h)**(2\/5)\/((h\/h**(5\/7))\/(h**(-5\/4)*h)))**(-9\/4) assuming h is positive.\nAnswer: h**(-5373\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -253903 - 6953.4\nAnswer: -260856.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y**(-9)*y)\/y)*y**11)\/(y\/((y\/y**12*y*y)\/y)*(y**(-1\/22)\/y*y)\/y))**(-1\/41) assuming y is positive.\nAnswer: y**(-243\/902)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 856 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3\/2 + 365*b**2 + 11295*b\/2 + 21285.\nAnswer: 5*(b + 6)*(b + 11)*(b + 129)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -142, 1\/2, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 7 + 1)*(0*q**2 + q**2 - 3*q**2)*(4 - 4 - 8*q).\nAnswer: -160*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1803\/6010 + 402\/54*((-6)\/(-2))\/(-30)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9401?\nAnswer: 7, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**4\/6 + 3*k**3 + 20*k**2\/3 = 0. What is k?\nAnswer: -2, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -191\/490 + -1\/98. Let b = -5 - -5. Let i be (-5)\/(-1) + (b - 2). What is the closest to i in f, -1\/4, -3\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 8*v + 16. Let b be m(-10). Let w be ((-255)\/b)\/(8 - 512004\/64000). Round w to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k**2 - 4*k - 16. Let w(l) = 2*l**2 + 2*l + 8. Give -6*q(a) - 11*w(a).\nAnswer: 2*a**2 + 2*a + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -s - 5, 5*s - 3 = 10*j - 7*j. Let t = 30 - 11. Suppose 3*c + 5*r + t = -6, -4*c + 5 = -r. Solve c*v - 5*z = -j*v - 17, -5*v - 17 = -2*z for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (338 - 338 - (-8)\/1) + (29 - 15).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -20561 + 20561 + 385*j**2. Let m(u) = 2*u**2 + 5*u - 5. Let a(t) = -t**2 - 2*t + 2. Let q(n) = -5*a(n) - 2*m(n). What is q(h(v))?\nAnswer: 148225*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.9 + -5. Let u(x) = -x + 3. Let i be u(0). Which is the closest to i? (a) r (b) 3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000567599 rounded to 6 decimal places?\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 963 = 441. Suppose -4282 - 5777 = 21*z. Let v = n + z. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -234.81 - -234.493. Sort 0, 0.2, y.\nAnswer: y, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 0) + 3 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -530.4 - -529.4. Which is the smallest value? (a) -22.4 (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/6)\/((-6)\/16). Let c be (a + 45\/(-6))*(-72)\/14. What is the greatest common factor of c and 180?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 915.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -34425*k + 34425*k - 5*x, -k - 27 = x for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*d**2*h**2 + d**2*h - 27742*d**2 - 11886*d*h**2 wrt h.\nAnswer: 8*d**2 - 23772*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4806 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 8. Let m = s + 11. Let q = m + 31. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -45*r**6 - 2*r**3 + 23*r**2. Let o(c) = 180*c**6 + 9*c**3 - 93*c**2 + 1. Let k(p) = -9*d(p) - 2*o(p). Find the third derivative of k(q) wrt q.\nAnswer: 5400*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 305218 and 149362.\nAnswer: 7020014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - n + 1. Let k be z(1). Is 56 - (5 - (3 - k)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 2*t + 4*k, 6*t - 2*k - 18 = 2*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c**2 + 3*c**2 + 3*c**2. Let h(v) be the second derivative of v**7\/1260 + v**4\/12 + v. Let s(y) be the third derivative of h(y). Give d(s(j)).\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 3 + (-10 - -12) + 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (219 + -221)\/((-10)\/30*-24)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 10 = -40. Let i = 17 + h. Let r = i + 24. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3695*a**2 - 12*a + 8. Let n(j) = 1041992*j**2 + 3381*j - 2254. Calculate -4*n(q) - 1127*t(q).\nAnswer: -3703*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*f - 24*a + 17*a + 10*a + 76 + 26, -5*a + 5 = 0 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.055 - 0.255. Let d be (((-4)\/(-20)*5)\/(4\/(-16)))\/(-154). Is d < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27452591981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -91 or -59?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 + 16795*g**2 + 465515*g - 2748075.\nAnswer: 5*(g - 5)*(g + 33)*(g + 3331)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 80\/9597 and -13\/3035394.\nAnswer: 21247758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4d (base 14) to base 7\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19054493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9039287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -20518*n + 9397243. Give r(458).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 34870000 to the nearest 1000000.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 2\/6233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -146, -246, -340, -428, -510?\nAnswer: -586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 29. Suppose 4*o - 3*o = k. Suppose -10*q + o = -5*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -473, -387, -301, -215?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -138*v**3 - 9*v**2 + 4*v + 4. Let j(h) = -h**3 - 2*h**2 + h + 1. Determine -4*j(f) + x(f).\nAnswer: -134*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -2 + 0 - (56 - (220 - 58 - -29)).\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 5, 3, 11, 35, 81, 155, 263?\nAnswer: 411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51436824 >= 51436825?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 5.008. Let l = w + -6.208. Round l to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.20797 microseconds in minutes?\nAnswer: 0.0000013867995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/13, -19465, 0?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 34 = 2*f + 46, -5*i - 3*f = -99. Let u be (-1034)\/121 + i\/33. Let g(b) = b**2 + 7*b - 4. What is g(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 2 (b) -4\/3 (c) 2440 (d) 0.31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 14*h + 638 = -12*h, -4*n - 3*h = -2567. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/(-10)*15\/(-6). What is the nearest to c in 0.09, -0.5, -4\/5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ectet. Give prob of sequence cet.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 22 = 5*q. Suppose 36*s - 36 = 34*s. What is the remainder when s is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(((t\/t**(2\/9)*t)\/t*t)\/t))**(21\/8)*(t\/t**(-7)*t*t)\/t*t*((t**(-10)\/t)\/t*t*t)\/t*t)**25 assuming t is positive.\nAnswer: t**(175\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 893.3.\nAnswer: -892.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -5*p + 26, 2*p - 10 = -2*p - 3*x. Let y(u) = 4*u - 4. Let d be y(6). Suppose p*m = -m + d. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkx when three letters picked without replacement from {x: 7, k: 6}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-2)*((-2)\/18)\/((-67)\/(-2010)). Solve r - 5*w - n = 0, 52*r - 4*w - 4 = 56*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 29 = 2*h, -3*q + 11 = 2. Let p be (0\/2 + -4)*-1. Suppose o + 1 = 3*t, -3*o - t + 25 = 4*t. Solve 2*g = o*l - h, -p*l + g = -3*g - 20 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (68\/6)\/(7\/84*8). Factor 5014*c**2 - 13*c + 9*c - s*c - 5017*c**2 + 24.\nAnswer: -3*(c - 1)*(c + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 115 - -4?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -692.87731 times 0.1\nAnswer: -69.287731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5401 - 91819\/17. Put 10, -0.5, 1\/7, j in decreasing order.\nAnswer: 10, 1\/7, j, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/732 and 157\/42?\nAnswer: 5124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6740.91*152.\nAnswer: 1024618.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2513 + 9975\/4. Let h = 7 - 10. Calculate the common denominator of (-398)\/96 - h\/9 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 23746.2?\nAnswer: -23745.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*p - 4*p - 6*p)*(0*p**2 + 0*p**2 + 2*p**2) + p**3 + 3*p + p - 2*p to the form b*p**3 + t*p**2 + v*p + z and give b.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 13*v**2 - 8*v + 33. Let g be h(14). What is the common denominator of (-1 - 1)*737\/88 and (-33)\/(-5)*(4 - g\/30)?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0)**(2\/29) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13470 - 1364?\nAnswer: -14844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13449 - -13478. Which is the second smallest value? (a) 0 (b) 0.51 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2. Let i(u) be the first derivative of -4*u**3\/3 + 1. Give j(i(o)).\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-46 + 57 - -98) + -42).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2608 - 2616. Sort 2, -4, v, -19, 5 in descending order.\nAnswer: 5, 2, -4, v, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 5*i**2 + 4*i. Let h = -1 - 2. Calculate the remainder when t(h) is divided by (1 - -2) + 498\/249.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1597 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52070?\nAnswer: 2, 5, 41, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -88.05 + 88.35. Let f(v) be the second derivative of v**3 + 2*v**2 + v. Let x be f(5). Which is the third smallest value? (a) -5 (b) q (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + k - k**2)*(33*k - 90*k - 118*k + (-4 + 2 + 1)*(2*k - 4*k + k)).\nAnswer: 174*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9042433 + -7?\nAnswer: -9042440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2305 (base 6) in base 4?\nAnswer: -20201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 2 - 4)*(-1 + 2 + 0) + 4 - 1 - 4)*(-1499*m**4 + 1500*m**4 - 13 + 3*m - 5*m).\nAnswer: -3*m**4 + 6*m + 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -113969, -113971, -113973, -113975, -113977, -113979?\n\"Answer: -2*q - 113967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9631*z - 141750 = -7741*z for z.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 = -19730?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - 0.1?\nAnswer: -25.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17478967 and 785?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 + 23 + 20 + 48*g**3 - 126 + 26.\nAnswer: 48*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, b: 12}. Give prob of sequence mbb.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/((-1536)\/(-1032)))\/((-5)\/60*-3)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -2.6. Let q = -0.1 - -1.1. Suppose 5*j - 8 = 2*n, -4*n - n = -2*j + 20. Put q, f, n in decreasing order.\nAnswer: q, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from {s: 3, i: 1, j: 5}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -130*w**4 - 12*w**3 + 3*w**2 - 81*w + 8 wrt w.\nAnswer: -1560*w**2 - 72*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h + 29. Suppose 6 = t + 2*w, -67*t - 15 = -69*t - 5*w. Determine o(t).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 973.3369 nanometers to kilometers.\nAnswer: 0.0000000009733369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4774899.\nAnswer: 3, 31, 51343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 64 + 41 - 84)*(2*d - 3*d + 3*d).\nAnswer: 2*d**2 + 42*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*q = -51, -5*n + n = 2*q + 92. What is the units digit of (1 - n) + (3 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u**5 + 33223*u**3 + 3*u**2 + 26*u - 110 wrt u?\nAnswer: -60*u**2 + 199338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f - 5. Let t be m(-5). Suppose -w + 2 = -t. Round w to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(-2*z**3 - 5 + 5) + 6*z**3 - 4*z**3 + 8*z**3 + (-2*z**3 + 2*z**3 + z**3)*(-3 + 1 + 1).\nAnswer: 13*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2227, 1979, 1731, 1483?\nAnswer: 1235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-27*u**2 + 4 + 48*u**3 - 18*u**2 + 47*u**2)*(-1 - 3 - 2) to d*u + z*u**2 + r*u**3 + j and give j.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 213\/(-142) + (6\/(-56))\/(((-248)\/(-48))\/(-31)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 60, 258, 590, 1056, 1656, 2390?\n\"Answer: 67*g**2 - 3*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001578 rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 224 = -91. Calculate the highest common divisor of 21 and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from agabbw. Give prob of picking 1 w, 1 b, and 1 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(1\/5)*b))\/(b**(-4)*b*b))\/((b**(-5)\/b)\/(b\/b**(4\/5))) assuming b is positive.\nAnswer: b**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, q: 2, u: 7, h: 2}. What is prob of sequence bhhq?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 9:42 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 30 = -0*m. Let y be (-2)\/m + (-93)\/15. Let i(j) = -7*j**2 - 7 - 4*j - j**3 + j**2 + j. Determine i(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -662*n = -639*n - 299 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (160 - 143) + 1 + -14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1498.96 grams?\nAnswer: 1498960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4029?\nAnswer: 3, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 81*x**2 - 731*x - 221. Let m be g(43). What is m rounded to the nearest 100?\nAnswer: 38600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/95760 and -153\/46550.\nAnswer: 3351600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 3:00 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/12)\/(9\/((-81)\/(-12)))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a week in minutes?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -732*x + 803*x = 426 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.04 - -4. Let f = j + -0.06. Let o = 523\/33 + -47\/3. Sort f, o, 4 in decreasing order.\nAnswer: 4, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 433909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*a - 24*a + 0*a**2 - 7*a**2 + 6*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 24*y + 14. Let m be h(16). Suppose -m*p + 16 = -138*p. Suppose -745 = -d - 4*l + 600, -5*d = -p*l - 6677. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and -211656288?\nAnswer: 211656287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k**3\/2 - 102*k**2 - 840*k - 1696 = 0. What is k?\nAnswer: -4, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 9:44 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -194\/105, -0.5, -2 in decreasing order.\nAnswer: -0.2, -0.5, -194\/105, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 24*j - 21*j = 7, -j = -5*p + 4. Let z(i) = -6*i**2 + 2*i - 1. Determine z(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (1 + 0 + -4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(2299)*-2 + sqrt(2299) + 0 - sqrt(2299) - (5 + sqrt(2299) + -2)) + -2 + (3 + sqrt(2299))*1)**2.\nAnswer: -88*sqrt(19) + 9200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8108, -8105, -8092, -8063, -8012, -7933, -7820, -7667?\nAnswer: -7468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, r: 9, s: 7}. Give prob of sequence szr.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48983\/7068 - 680\/93. Let k = -3209 + 1009. Let l = k + 26435\/12. Calculate the common denominator of o and l.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64 - -63. What is the nearest to 0.1 in m, -4, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 19*c - 684. Let x be k(37). Suppose 441 + 69 = 2*z. What is the third derivative of z - 2*b**6 - 5*b**2 - 255 + x*b**2 wrt b?\nAnswer: -240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -14\/13 (b) -0.1 (c) -59 (d) -4\/3 (e) 1\/9 (f) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3674 - -3671. Put -10, 1, 3, 0, s in increasing order.\nAnswer: -10, s, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11388 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 8 = 3*d - 65, 2*n - 22 = -d. Let m(o) = -o**3 - o - 4. Let q be m(0). Let j = q - -12. Calculate the lowest common multiple of n and j.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36711756 and 666.\nAnswer: 1358334972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119910*t = v - 119907*t + 2, 10 = 4*v + 3*t for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18836 + -18833. Let k(o) be the second derivative of 3*o**2 + 2\/3*o**v + 28*o + 0. Give k(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of 4*x + 0*x**3 - 5\/12*x**4 + 0 + 13*x**2. Let u(t) = 4*t**2. Determine j(u(y)).\nAnswer: -40*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4 + 21*d**3 + 18*d**2.\nAnswer: 3*d**2*(d + 1)*(d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/6 + (-7)\/(3 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 25*a**2 + 5*a - 16. Let f be w(-12). Suppose -3523 = -2*c + 3*m, -m = 2*c - 3*m - f. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 546 and 556346?\nAnswer: 21697494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 68\/(-5) - ((-132)\/(-30) - 4). Which is the nearest to 1\/3? (a) 0.2 (b) -1\/4 (c) l (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 3 + 0 - -1. Find the third derivative of -2 - 1 + 3 - 2*b**r - 4*b**4 wrt b.\nAnswer: -96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -37. Suppose -10*h + n = -6*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*p - 0 + 3, -10 = 2*d. Let n = 2\/379 + 369\/1895. Let q be 14\/(-44) + (-1)\/(-2). What is the fourth smallest value in 5, q, n, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-40118)\/(-12) + 0 - 1. Let y = 3327 - r. Calculate the common denominator of y and -75\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*t - 88*t - 148 + 2956 = 0 for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/3)\/(-1)*-1. Is 2*(-2)\/d*-27 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 14 = 4*i - 24, 5*i = g + 4. Let m = 11 + -17. Let n = g - m. What is the smallest common multiple of n and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 205\/2*t - 5\/2*t**2 = 0. What is t?\nAnswer: -41, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1647727.62 rounded to the nearest ten thousand?\nAnswer: -1650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - 22. Calculate the common denominator of 2\/4 + (-195)\/(-42) and (i\/4)\/(18\/(-28)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -259, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001110110010010010101 - -1?\nAnswer: -1001110110010010010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.54 from -0.06183.\nAnswer: -4.60183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/25035821?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203*n - 184*n = -15309333. List the prime factors of n.\nAnswer: 13, 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -20b6?\nAnswer: 20b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*d = -177, 3*j + 0*j - 193 = -d. Suppose 2*q = 3*o + 23, 2*q + 0*q + 5*o = j. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56 - -76. Calculate the highest common factor of n and 580.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32.3 in -0.1, 5, -2, 0.4, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -21*f + 109. Let l = -142 + 122. Is a(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 946 by 18.\nAnswer: 473\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003059515 rounded to four dps?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.58697ns in microseconds?\nAnswer: 0.06458697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -2, 22, 29, 2, -6, -1 in decreasing order.\nAnswer: 29, 22, 15, 2, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -m**8\/420 - m**6\/120 - 2*m**3\/3 - m. Let h(x) be the second derivative of d(x). Find the third derivative of h(s) wrt s.\nAnswer: -96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*p - 3*n, -6 + 0 = 3*n. Suppose 0 = -p*r + d + 9, -13 = -r + 2*d + d. Calculate the greatest common divisor of r and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 387 = -35*p - 69 + 141 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 393 (b) 0 (c) 1\/2 (d) -16 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -20*o**2 - o**3 - 12 + 4 + 18. What is the tens digit of c(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2316 and 43974857?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vvvvvvvvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 132655.14 to the nearest one thousand.\nAnswer: 133000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7.177 times 15.7\nAnswer: -112.6789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.78 - 26.78. Let w be (8\/20)\/(18\/(-15)). Put 3, x, w in ascending order.\nAnswer: x, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.3 - -7.3. Let u = 5 - k. Let r = -0.6301 + 1.1301. What is the nearest to u in -4, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14737?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*r - 2*t + 25 = 47*r, -5*t + 95 = -4*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r + 3. Let n be x(-5). Suppose -5 = 5*o - 6*o. Suppose o*l = l + n. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4*v = 0, 0*a = 3*a + 2*v + 2. Does 27 divide ((-2)\/a)\/((-1)\/(-148))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 38*i**2 - 1879*i + 64696. Calculate s(36).\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 8:34 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/60*13*3?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g + 13. Let p be j(-13). Suppose -k - k - 7 = t, p = -3*k - t - 9. Let m(w) = w**3 + w**2 - 3*w - 1. Let i be m(k). Are 3\/8 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -5, 4*p + d - 103 = -4*d. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 34*t - 45. Calculate r(7).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z + 3. Let y(r) = 8 - r + 5 - 14. Let k(a) = -2*f(a) - 9*y(a). Give k(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 37 = u, -2*u + 120 - 61 = 3*v. Solve 0 = -39*j + 56 + u for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365.\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.44 - -6.24. What is the third biggest value in 5, x, 29?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - s - 115 = 0, -4*u + 2*s = 4*s - 78. Solve -4*p - 2*h = -u, p + p - 5*h = 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4565216567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1 + 6*r + 3 - 1 - 6 wrt r?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j**2 - 4*j**2 + 0*j**2)*(-2*j - 7*j + 12*j - j**2) to s*j**2 + a*j + q + k*j**3 + p*j**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -445 + 413 - (-16 - -1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**5\/20 - t**4\/4 + t**3\/3 - 3*t**2\/2 + 3*t. Is q(-4) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p + 2. Suppose -k = -5*k - 36. Let m be f(k). Calculate the highest common factor of 99 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14884 - 14881. What is the highest common factor of q and 831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 203*n**2 - 7*n - 198. Let i(f) = -201*f**2 + 9*f + 199. Let c(l) = -4*i(l) - 5*v(l). What is the second derivative of c(x) wrt x?\nAnswer: -422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 6*q + 7. Suppose 0 = -4*z - 22 + 2. Determine s(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 4 (c) 3\/13 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - 3 + 3 + (-p**2 - 2*p**2 + 0*p**2)*(3 + 0 - 1))*(0*p**2 + 6*p**2 - 4*p**2)*(-2*p + p + 3*p + (-3 + 3 + 1)*(1 - 1 + p) - 5*p - p + 4*p).\nAnswer: -10*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 18 (b) 4 (c) 5\/6 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9761\/6506 + -1\/3253. Which is the fourth smallest value? (a) -39\/5 (b) 2\/11 (c) -0.4 (d) -2\/7 (e) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 212222021332 - 0?\nAnswer: 212222021332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 4) to base 13\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 201*j**3 + j**2 - 1. Let y(v) = v + 12. Let x be y(-11). Is d(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1695012 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + -6*((sqrt(272)*-3 - sqrt(272) - sqrt(272)) + sqrt(272)) - (sqrt(272) - -6*(sqrt(272) + 2 + sqrt(272))))**2.\nAnswer: -1152*sqrt(17) + 39312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2 - 152. Let h(p) = -3*p. Determine h(f(g)).\nAnswer: 6*g**2 + 456","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*r**2 + 106*r**2 - 20*r**2 + 182*r**2.\nAnswer: 320*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2. Let a(z) = -2*z. Let l(u) = u + 2. Let r(g) = -1. Let x(f) = -l(f) - 2*r(f). Let i(c) = -4*a(c) + 11*x(c). Determine i(b(m)).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 1 in ascending order.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.831 + 12.721. Let x = z + 0.11. What is the second smallest value in 0, 2\/21, x?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 217\/4 + -167\/3. What is the common denominator of 97\/138 and f?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 354*u**2 - 706*u**2 + 353*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 421, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3349216 and 18260.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 12:59 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 351\/6 - -4)*-2. Let u = y - -123. Solve 0 = 5*r + 4*g + g + 30, 3*r = 5*g - u for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 12\/20*(-70)\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -115\/792 - -2\/99. Let m = -0.32 + -0.08. Put 1\/9, m, z in descending order.\nAnswer: 1\/9, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56140.\nAnswer: 2, 5, 7, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -423451 + -2353?\nAnswer: -430244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 413136077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*v + 11*v - 110. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 5:56 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 2 - (2 + -14 + 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-4)\/(u\/(u\/(u\/((u**(-1\/18)*u)\/u)*u)))*(u*u**(-3\/16))\/(u\/u**(-1\/17)) assuming u is positive.\nAnswer: u**(-15427\/2448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.5026 + 136.1974. Round p to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/35)\/(3\/(-7))*-1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 e when two letters picked without replacement from euhhphpppmeuehmupehe?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 24 = -5*b, -f + 16 = 2*b + 4. Let n be 1\/(-1) + 200\/b. Suppose -5*k = -k - n. Calculate the remainder when 21 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in micrometers?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -259 (b) 0 (c) 4 (d) -0.6 (e) 0.57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5*r - 0 + 10, 2*d - 3*r = 2. Let t be (-96)\/(-40) - (-2)\/d. Suppose 5*c - t*c = 30. 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 value of -3 - (-3 - -22) - (-1167 - -1186)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 + 1 + 6 - 3 + 32*g**3 with respect to g.\nAnswer: 96*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + 80 - 80 - 3*n**2 + 2*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2. Let k(n) be the first derivative of n**2 + 1\/2*n**4 + 0*n**3 + 0*n + 4. Let f(l) be the second derivative of k(l). Calculate y(f(s)).\nAnswer: -144*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s\/(s\/(s*s**1)))\/s))**25)**(-21)*(s\/(s\/(s\/s**(-1))))**(-4\/3)*(s**0)**(-18) assuming s is positive.\nAnswer: s**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*x + 24*x = -990. Calculate the least common multiple of 105 and x.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003617 rounded to 7 decimal places?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242193912.\nAnswer: 2, 3, 19, 61, 8707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d**2 + 2*d + 129. Let w(o) = 2*o**2 + 2*o + 129. Let u(q) = -3*b(q) + 4*w(q). Let m(y) be the first derivative of u(y). Determine m(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v - 2. Let p be c(17). Factor 109*k**3 + 5*k + 15*k**2 - p*k**4 - 104*k**3 - 15*k + 5*k**5.\nAnswer: 5*k*(k - 2)*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -897 + 900. Let v(r) be the third derivative of 13\/120*r**6 - 7*r**2 + 0*r**5 + 0*r + 0*r**4 + 4\/3*r**i + 0. Differentiate v(s) with respect to s.\nAnswer: 39*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y - 3*y + y)*(-1 - 7 + 2)*((-3 - 1 + 2)*(0*y + 3*y - 2*y) + 3 - 3 + y - 5*y - 38*y + 79*y) as k*y**2 + i + r*y and give k.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 449*q - 1. Let d(n) = 2*n. Calculate d(l(r)).\nAnswer: 898*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 609?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w**3 - 60*w**3 - 4*w**3 + 1128.\nAnswer: -71*w**3 + 1128","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 2*s + 1. Suppose 265*w - 267*w = -328. Let h = 162 - w. What is p(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 408 - 822 + 2551*g**2 + g + 414.\nAnswer: 2551*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 2, -33, -86, -163, -270, -413, -598?\nAnswer: -831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h + 129 + 41 = 0. Suppose -5*f - 8 = -4*o - 0*f, 3*o - 6 = 3*f. Calculate the greatest common factor of o and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74*v**4*z + 8140*v**2*z + 4*v*z - 860*v - 13*z + 1 wrt v?\nAnswer: 888*v**2*z + 16280*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 464 and 928.\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 - -666. Is 33 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 4 = -17*f + 16*f, f + 17 = -5*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**5\/5 + 15*f**4 - 759*f**3 + 6705*f**2 - 68688*f\/5 = 0.\nAnswer: -53, 0, 3, 9, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 188509918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 471009.565 to the nearest 10000.\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/9414 + -210233\/122382. Calculate the common denominator of d and 89\/12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3007 + -3004. Let y(r) = -23*r + 72. Give y(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1235000*z**5 + 6562*z + 113?\nAnswer: 24700000*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 7. Let b = u + -6.16. Round b to two decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 902903412 to the nearest integer?\nAnswer: 967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*a**2 + 41*a**2 - 55*a**2)*(-4*a - a + 6*a) + a**3 + 2*a - 4*a + a.\nAnswer: 13*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 552748?\nAnswer: 2210992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -142*q**2 + 571*q + 572. Determine r(-1).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 385 and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 74, 69, 50, 11, -54, -151, -286, -465?\n\"Answer: -u**3 - u**2 + 5*u + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*b**3 + 92*b**3 + 0*b**3.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(342)*-2 - sqrt(342)) + sqrt(342))\/(sqrt(8)*2) - (1 + -4*(3*sqrt(475)*1)**2).\nAnswer: -3*sqrt(19)\/2 + 17099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((194 - 143*t - 194)*(0 + 1 - 2) - t + 5 - 5)*(-2*t**3 - 2*t**3 + t**3).\nAnswer: -426*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18\/81*498*6\/4 is divided by 1\/(7 - 45\/6) - -45?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18245741 or -18245742?\nAnswer: -18245741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3226*p**3 + 0*p**2 + p**2 + p - 3153*p**3 to the form g + r*p + k*p**3 + n*p**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/20*(1 - 25). Let n(j) = 23*j**2 - z*j**2 + 18*j**2 - 1. Is n(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**4 - 150*v**3 + 765*v**2 + 2590*v - 10200 = 0. What is v?\nAnswer: -34, -4, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*f - 2*f, 4*u = f - 4. Suppose 3*r - 2*r - 3*r = u. Solve -p = -r + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 + -12. What is the highest common factor of 69 and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 7*m**4\/24 - 7*m**3\/6 - m**2 - 5*m. Let k(y) = 20*y - 20. Determine -14*g(f) + 5*k(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/20*1)\/((-15)\/150*1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, l: 3, k: 1}. Give prob of picking 3 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.057 - 9.943. Sort 5, 0.1, v in descending order.\nAnswer: 5, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2209, 2\/13, -2, 2, 1\/6?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 270*p**2 - 385*p + 31199. Determine g(269).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**6\/2520 + u**5\/280 + u**4\/42 + u**3\/3 - 7*u**2 + 42. Let a(n) be the third derivative of v(n). What is h in a(h) = 0?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.119 minus 349?\nAnswer: -348.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 784 = 2*z. Calculate the highest common factor of z and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258500 + 10*r - 258500.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 30060.09 centuries in months?\nAnswer: 36072108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206756701 is divided by 82.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.7227 + 0.6227. Which is the closest to m? (a) -2 (b) 9 (c) -0.4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 4*p - 2*r - 484 = 0, 2*p + 4*r - 262 = 0. Suppose -2*m + p = 3*o - 5*m, 0 = 2*o - 3*m - 84. Let n = o + -27. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 17*f**2 + 20*f - 51. Let u be a(16). Calculate the common denominator of 25\/21 and (u\/364)\/(1\/(-158)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**18\/i*i**(-2\/11) assuming i is positive.\nAnswer: i**(185\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3532?\nAnswer: 2, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 3*c - 290. Let t = c + -72. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5705839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*w - 94 = 0, -85*c + 84*c = -4*w - 40. Which is greater: c or 11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*(-3*(sqrt(143) - (sqrt(143) + sqrt(143)*-1) - sqrt(143))*4)\/((sqrt(11) + (sqrt(77)*2)\/sqrt(7))*-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -116899 and 2904?\nAnswer: -339474696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a tonne in kilograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 39 = -16. Suppose i = -z - 0*i + 24, 4*z + i = 90. Calculate the greatest common divisor of z and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3676 is divided by 63.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405)*-1 + sqrt(605)*-2.\nAnswer: -31*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 20*m + 127. Let q(j) = -7*j - 43. Let t(y) = 4*d(y) + 11*q(y). Let s be t(-11). Factor -3*c + 4*c**s + 2*c - 3*c**3 - 6*c**2 + 2*c**3.\nAnswer: -c*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0. Let f = -37013\/20 + 7129\/4. Let p = f + 68. Which is smaller: p or g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 26 = -54. Let c = 7 + 0. What is the remainder when q is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 - -1)*(-9)\/15. Let q be j - 4 - (-5 + 4). Suppose -n = 0, 2*u = -q*u + n + 54. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(2\/3))**(-8)*(o*(o**(-1)*o)\/o)**34 assuming o is positive.\nAnswer: o**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13730, -27565, -41396, -55217, -69022, -82805, -96560, -110281?\n\"Answer: f**3 - 4*f**2 - 13830*f + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmggrmmmr. What is prob of picking 2 g?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1000.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 153, -16, -297, -684, -1171?\n\"Answer: y**3 - 62*y**2 + 10*y + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000101101111 (base 2) to base 12.\nAnswer: 26bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*x**3 + 1 - 4 + 1198*x**2 - 2397*x**2 + 1195*x**2 + 6*x to the form g + c*x**2 + p*x**3 + v*x and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p. Suppose -5*j = 5*f - 10, 0 = -2*j - 0*f + 4*f - 2. Let m(z) = -2*z**2 - 4*z - 4. Let y(o) = o + 1. Let l(i) = j*m(i) + 4*y(i). Give r(l(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 1:41 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63190 is divided by 3717.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4389 is divided by 1144.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -233883736.\nAnswer: -233883732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x - 16. Let c(t) = 4*t - 15. Determine 6*c(g) - 5*u(g).\nAnswer: -g - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(-30) - 8\/(-3). Let f(p) = 57 - 6*p**h + p**3 + 3*p - 61 - 2*p. Let g be f(7). What is the highest common factor of 13 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3)*(-3*o**2 - o**2 + 3*o**2) + 7*o - 2*o**2 + 1 + 0*o**2 + 1.\nAnswer: -5*o**2 + 7*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3\/14, -9, -0.39?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d - 1. Let o(b) = 3 - 1 + 0 + b - 2*b. Let s be o(0). What is w(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 35 (b) -0.6 (c) 1.4 (d) -3 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + 53\/2. Put 31, t, 2, 0.4 in decreasing order.\nAnswer: 31, 2, t, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/1020*30940\/(-10608) and -25\/16?\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -7*f**5 - 1234*f**4 - 7012*f**3 + 24890*f**2 + 179675*f + 149000 = 0?\nAnswer: -1192\/7, -5, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 + 21 + -135 + -22.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1274)\/156 - 14\/(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 114 + -100. Suppose 19*u = p*u + 10. Calculate the remainder when (3 - (0 - 4))*1 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 278 + -283. Suppose -5*g = -0*g - 20. What is the second smallest value in n, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-4)\/10*(-5)\/6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - 1) + 2 + 9\/(-3). Let q(s) = -3*s**2 - 13*s + 2. Let x be q(l). What is the units digit of (-3 - 0)\/(x\/1602)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30377\/6 - 5062. Let h(x) be the first derivative of m*x**2 + 1\/15*x**5 - 1\/3*x**3 - 2\/3*x - 44 - 1\/12*x**4. Factor h(l).\nAnswer: (l - 1)**3*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*u**3 + 113*u**3 - 37*u**3.\nAnswer: 152*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 8*u + 3. Let n be (-14)\/4*480\/(-84). Calculate the remainder when w(6) is divided by (1*4)\/(n\/15)*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 770 (c) -2\/9 (d) -4 (e) -11 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -144, -216, -288?\nAnswer: -360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 5*y**2 - y**2. Let o(d) = -12*d**2 - 5. Let w(c) = 5*c**2 + 2. Let g(u) = -2*o(u) - 5*w(u). What is x(g(i))?\nAnswer: -5*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 240.0695g to micrograms.\nAnswer: 240069500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-1\/6)*p)**(11\/3)*p\/(p\/(p**(5\/7)\/p))*p*p**(-1\/4)\/p)**10 assuming p is positive.\nAnswer: p**(9335\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -65933 + -337?\nAnswer: -66270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278734417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1302 and 4062612?\nAnswer: 28438284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1573 - 1573. Let x = 4 - -4. Solve x*i - 7*i = h for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -343*u - 105*u + 440*u. Let n(d) = -d + 6*d + 3*d. Give n(b(r)).\nAnswer: -64*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 382517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*o - 126 = 0. Let q be 4 + 0 + 260\/(26\/(-2)). What is the remainder when o is divided by (-7 - -5)*2*100\/q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -147*p - 134. Let k be d(-6). Let u = 874 - k. List the prime factors of u.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j + 0 + 9*j**2 - 27*j**2 + 3 - j**3 + 14*j**2 - 5 to p + k*j**2 + d*j**3 + i*j and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1 - 1\/5*l**2 + 4\/5*l.\nAnswer: -(l - 5)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -46*r - 7. Let b(n) = 15*n + 17*n + 2*n - 3*n + 5. Let y be (-4)\/1 + ((-3)\/(-8))\/(12\/(-96)). Calculate y*b(p) - 5*z(p).\nAnswer: 13*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 125*z**2 + 12*z - 12. Is f(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -7*z**5\/4 + z**4\/12 - 13*z**3 - 67*z. Find the second derivative of a(l) wrt l.\nAnswer: -210*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 6*s - s - 166, 90 = 3*s + 3*m. What is the highest common factor of 51 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97053 is divided by 1089.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 169.7353 micrometers?\nAnswer: 0.0000001697353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 + 78088188*x - 508147092093612.\nAnswer: -3*(x - 13014698)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2828 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*x - 626, 15 - 194 = -x - 5*m. What is the greatest common divisor of 11165 and x?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -87738 and 29.\nAnswer: -87709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 16, 136, 0.2, 122?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -3 (c) -114 (d) 22 (e) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0 - 8 = 0. Suppose 4*h - x*m = 32, -1 + 31 = 3*h - 3*m. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360832 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 154858204 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.02914 rounded to 2 dps?\nAnswer: -23.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/60)\/((-15)\/(-12))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 128*f + 516. Let t be z(-4). Solve 5*n - 2*r - 8 = 0, -t*r = -5*n + 4*n + 16 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10\/413 - -5872\/3717. Which is smaller: a or 23\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 + -0.3. Suppose -3*y + 15 = -3*r - 6*y, 0 = 2*r + 4*y + 12. What is the closest to f in -0.4, r, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {d: 7, x: 4, f: 6}.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307939839 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (152\/(-32))\/(1*2\/(-8)). Calculate the highest common factor of r and 1197.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -148 take away 37327045.2448?\nAnswer: -37327193.2448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 54 = 63. What is the highest common factor of c and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 198, 447, 784, 1203?\nAnswer: 1698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-10)*j*j**(5\/2))\/(j**0)**15)**(-5\/7))**(-2\/35) assuming j is positive.\nAnswer: j**(-11\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11411*d - 8*d**3 + 3*d**3 - 12 + 11409*d to a*d**2 + i*d**3 + c + m*d and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -10. Let d(u) = -8*u + 4. Let l(y) = 24*y - 11. Let o(a) = 11*d(a) + 4*l(a). Does 12 divide o(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of w**4\/24 + w**3\/6 - w**2\/2 + 4*w. Let b(m) be the first derivative of u(m). Determine b(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -4) + (2 - -1). Suppose 3*z = -u*o + 47, 4*z - 41 = -0*o - o. Let m(v) = -v**2 + 8*v + 7. Let d be m(z). Let l(h) = -h**2 - 3*h. Determine l(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -145*o**3 - o - 6. Let i(m) = 146*m**3 + m + 5. Let x(c) = 5*h(c) + 6*i(c). Calculate the remainder when x(1) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -28, -58, -114, -202, -328, -498, -718, -994?\n\"Answer: -v**3 - 7*v**2 - 2*v - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51840 and 53328.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8*3*(-8)\/(-6). Let x = m - -63. Does 15 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59330438 a multiple of 301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1313 (base 5) in base 13?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7224 and 11718.\nAnswer: 2015496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -2*d - 65. Let b(u) be the second derivative of -1\/2*u**3 + 1\/14*u**7 + d*u**5 + 0*u**2 - 2*u + 1\/5*u**6 - 1\/2*u**4 + 0. What is x in b(x) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h + 5*h - 35*h)*(2 + 1 - 4) - 20*h - 48 + 48.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + -707*(-3 + 2). Suppose -2058 = -3*a - l. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 y when three letters picked without replacement from xjjyyjjxjjjjyjjyxj?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1790854770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*m + 16062, -16010 + 5315 = -2*n + 3*m. Suppose -q = 3*q + n. Let z = q + -1062. Round z to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5\/5504 + 39899\/5504. Find the common denominator of g and -117\/8666.\nAnswer: 17332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (880\/(-770))\/(26\/13)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -50 + 48 + -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-15)*2\/(4\/(-6))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**6\/30 - q**5\/15 + 5*q**4\/12 + 10*q**3\/3 - q**2 + 5*q. Is l(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/10, -146\/3, 7\/6, 2\/5, 3?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f + 6*f = -19. List the prime factors of (-2030)\/(-8) + (-33)\/44 + f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 + -24. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-12) + (-1)\/(-4). Solve 2*s = n + 7, -n - 3*s + 28 - 10 = o for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/15 + (-58692)\/(-365). Let y = 35 - 3. Calculate the greatest common divisor of y and o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -102211?\nAnswer: 102220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-11)\/(165\/(-10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8653 + 18284. List the prime factors of x.\nAnswer: 9631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (280\/160)\/((-13)\/52).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tlcllqtpcqllqtllcl. Give prob of picking 2 l.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 635584962 to the power of 1\/3, to the nearest integer?\nAnswer: 860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 16 = 2*u. Suppose 2*v = u*v - 48. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 691 divide 781082906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (21 - (-1 + -6)) + -19?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s**3 + 2*s**2 + 8*s - 2. Let l(t) = -t**3 - t**2 + 1. Determine -j(x) - 2*l(x).\nAnswer: -3*x**3 - 8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6*c - 20 = 0, 5*z = -5*c + 225. Suppose -d + 3*d - z = 0. Calculate the remainder when 73 is divided by d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 412, 409, 406, 403, 400?\n\"Answer: -3*j + 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -1\/8*h**3 + 10 + h + 1\/4*h**2 + 1\/48*h**4. Factor w(d).\nAnswer: (d - 2)*(d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6163848, 12327594, 18491340, 24655086, 30818832, 36982578?\nAnswer: 43146324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**3 + 10*p**3 + 0*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*sqrt(200).\nAnswer: -20*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7580 times 0.08697?\nAnswer: -659.2326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121111012201 - 20?\nAnswer: -121111012221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 6*u - 24 = 7*u, -8 = 2*u. Let j(v) be the third derivative of -v**6\/120 + v**5\/20 + v**4\/8 + v**3\/6 + 2*v**2. Give j(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -67858.4553 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2894, -4383, -5872, -7361, -8850, -10339?\n\"Answer: -1489*z - 1405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n**3 - 9*n**2 - 4*n + 4. Let q(b) = -b**3 + 2*b**2 + b - 1. Let i(s) = 9*q(s) + 2*v(s). Give i(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1084060)\/(-20) - -17 - -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 458 or -222?\nAnswer: 458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k - 4 - 66 = 0. Sort -0.3, k, -4, 6.\nAnswer: -4, -0.3, k, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (b + 0*b - 5*b)*(-35*b - 46*b - 5*b) + 0 + 0 + 5*b**2 in the form x*b + i + u*b**2 and give u.\nAnswer: 349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 21 = -3*s, -i + 2*s + 4 = -6. Let r = 14 - i. Calculate the remainder when 28 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22.5 + 20.9. Let f(w) = w**3 + 3*w**2 - 3*w + 5. Let y be f(-4). Is a bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -4564194?\nAnswer: 4564189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*v**2 - 6*v + 20*v**2 + 3*v.\nAnswer: 143*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/2 (b) -1 (c) 46 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -26065*-0.26\nAnswer: 6776.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**5 + 0*j**5 + j**5 + 3*j**2 + (1 - 2*j**3 - 1)*(4 - 4 + 3*j**2).\nAnswer: -7*j**5 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1373, 2, 0?\nAnswer: -1373","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5 = -2*w. Let i be (-3)\/(1 + -4)*w. Suppose 5*z + i*a - 56 = 2*a, -z = -5*a. 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: Let w(s) = -s**3 + 2*s**2 - 2*s + 2. Let y = 6 - 9. Let z be w(y). Let v = 89 - z. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 6. Suppose 5*v - 5*a - 20 = 0, 4*a = -4*v + 32 - 8. Suppose 1 = -4*c + v. Calculate the least common multiple of y and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 5*b + z - 5*z, b + 8 = 4*z for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1214, 0.06, -7\/6?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -12*f + 34. What is the hundreds digit of g(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of r**4\/4 + r**3 + r**2\/2 + 427*r - 46. List the prime factors of k(0).\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 8*c**2 + 33*c + 5. Let o be y(6). What is the third derivative of -o*b - 74*b**3 - b**3 + 275*b + 42*b**2 wrt b?\nAnswer: -450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -1\/4 (b) -48 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 - 5)*(-2 - 29594*m + 59234*m - 29459*m) to y + z*m and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ng when two letters picked without replacement from gjgng.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**2\/4 + 454541*t\/2 + 2727237\/4 = 0. What is t?\nAnswer: -909079, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54758*p + 4 - 77*p**2 - 54758*p - 4.\nAnswer: -77*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 2*m + 18, -8*a + 12*a - 3*m - 31 = 0. Put a, 1, -5, -22 in decreasing order.\nAnswer: a, 1, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 8*w**3 + 2*w + 23. Determine v(-3).\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1799362?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2044 or 6951?\nAnswer: 6951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -11*y**2\/2 + 40*y - 1. Let g(c) = 12*c - 39. Let v(d) = -3*g(d) - 2*n(d). What is the derivative of v(i) wrt i?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/9*6\/(-4). Let x = 0 - t. Let n be x\/((-2)\/12) - 1. Solve p = 2*p - n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 643 is divided by 205.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = -6*w + 10*w. Let f(l) = -w + 62 - 30 - 3*l. Let c(a) = a. Determine 5*c(b) + 2*f(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 7*x**3\/3 + 1495. Let q(a) = 7*a - 7. Determine g(q(h)).\nAnswer: 343*h**2 - 686*h + 343","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}